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Feedback: [email protected] September 26, 2013 Math Assessment Level 45 Version C 1) What is the value of 7p if p = 9s and s = 1? 2) Children are dividing puzzles. If each gets 6, there will be 6 puzzles left over. However, 3 children do not participate, so each participating child gets 7 puzzles, with 9 left. How many puzzles are there in all? 3) Andrew has 10 times as much money as Aaron, and Antoinette has 9 as much money as Andrew. The total amount that they have is $868.60; how much does Aaron have? 4) What are the six squares that make up the outer surface of a cube called? 5) What trig function is defined as “opposite/adjacent?” 6) In any triangle, longer sides are opposite ________ angles. 7) If x = 3, y = 5 and z = 2, what is xyz? 8) A number, y, has 4 added to it to produce a second number. The cube root of the second number is 0.8. What is y? 9) How many cubic inches are in a cubic yard? 10) A 1-centimeter diameter sphere has a mass of 13 grams. What would be the mass of a 2-centimeter diameter sphere of the same material? 11) What is the slope of the line whose equation is 11x - y = 3? 12) What can x be, if x² - 100 = 0? 13) Let x be a negative integer. Let r = (x - 0.02)². Let s = (x² - 0.02). Let t = (x³ - 0.02). Write r, s, and t in order from least to greatest. 14) Let D be a positive integer. When you divide D by 2, the remainder is 1. What is the remainder when 24D is divided by 6? 15) Regular pentagon BCDEF is inscribed in a circle of radius r. What is the length of arc BD? 16) What ratio of right triangle sides defines the sine function? 17) If C is the center of a circle, A and B are on the circle and arc AB measures 99 degrees, what is the measure of angle ACB? 18) To increase the mean of 6 numbers by 2, by how much would the total have to increase? 19) A number, s, has 13 subtracted from it to produce a second number. The fifth root of the second number is -0.3. What is s? 20) What is the cube root of 125? Copyright Brad Jolly, 2013 Page 1 UIOGD

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Feedback: [email protected] 26, 2013

Math Assessment Level 45 Version C

1) What is the value of 7p if p = 9s and s = 1?

2) Children are dividing puzzles. If each gets 6, there will be 6 puzzles left over. However, 3 children do not

participate, so each participating child gets 7 puzzles, with 9 left. How many puzzles are there in all?

3) Andrew has 10 times as much money as Aaron, and Antoinette has 9 as much money as Andrew. The total

amount that they have is $868.60; how much does Aaron have?

4) What are the six squares that make up the outer surface of a cube called?

5) What trig function is defined as “opposite/adjacent?”

6) In any triangle, longer sides are opposite ________ angles.

7) If x = 3, y = 5 and z = 2, what is xyz?

8) A number, y, has 4 added to it to produce a second number. The cube root of the second number is 0.8. What is

y?

9) How many cubic inches are in a cubic yard?

10) A 1-centimeter diameter sphere has a mass of 13 grams. What would be the mass of a 2-centimeter diameter

sphere of the same material?

11) What is the slope of the line whose equation is 11x - y = 3?

12) What can x be, if x² - 100 = 0?

13) Let x be a negative integer. Let r = (x - 0.02)². Let s = (x² - 0.02). Let t = (x³ - 0.02). Write r, s, and t in order from

least to greatest.

14) Let D be a positive integer. When you divide D by 2, the remainder is 1. What is the remainder when 24D is

divided by 6?

15) Regular pentagon BCDEF is inscribed in a circle of radius r. What is the length of arc BD?

16) What ratio of right triangle sides defines the sine function?

17) If C is the center of a circle, A and B are on the circle and arc AB measures 99 degrees, what is the measure of

angle ACB?

18) To increase the mean of 6 numbers by 2, by how much would the total have to increase?

19) A number, s, has 13 subtracted from it to produce a second number. The fifth root of the second number is -0.3.

What is s?

20) What is the cube root of 125?

Copyright Brad Jolly, 2013 Page 1 UIOGD

Feedback: [email protected] 26, 2013

Math Assessment Level 45 Version C

1) A 1-inch diameter sphere weighs 16 ounces. How many ounces would a 2-inch diameter sphere of the same

material weigh?

2) What is the slope of the line whose equation is 5x + y = 6?

3) What number is known as the additive identity element?

4) Let x be a negative integer. Let r = (x - 0.06)². Let s = (x² - 0.06). Let t = (x³ - 0.06). Write r, s, and t in order from

least to greatest.

5) If the median value of a list of 119 consecutive integers is -15, what is the largest item in the list?

6) Regular pentagon ABCDE is inscribed in a circle of radius r. What is the length of arc BC?

7) If cos(x) = 0.504, cos(-x)

8) If one leg of a right triangle is 8, and the hypotenuse is 10, how long is the other leg?

9) If √(x) = 6√(5), what is x?

10) A number, p, has 4 added to it to produce a second number. The fifth root of the second number is -0.4. What is

p?

11) In the time it takes Gail to move 11 meters, Gail's pet turtle can move 50 millimeters. Write the ratio of Gail's speed

to Gail's pet turtle's speed in lowest terms.

12) A 1-centimeter cube has a mass of 3.3 grams. What would be the mass in grams of a 4-centimeter cube of the

same material?

13) Points A, B, C, and D are in that order on a line. The distance from A to C is 35 inches, from B to C is 17 inches,

and from B to D is 35 inches. How long is it from A to D?

14) If g and h are real numbers such that the sum of g and 4 is h, what is the product of 4 and g in terms of h?

15) Taking pi as 3.14, what is the volume of a cylinder with a base diameter of 2 inches and a height of 4 inches?

Express your answer to the nearest cubic inch.

16) One angle of a triangle measures E degrees. The second measures 2E degrees, and the third measures F

degrees. If E and F are both integers, and E > 55 degrees, how many possible values are there for F?

17) Square ABCD is inscribed in a circle of radius r. What is the length of arc BC?

18) If sin(x) = -0.013, sin(-x)

19) What is i squared?

20) (8x^2 + 38x - 10) ÷ (x + 5)

Copyright Brad Jolly, 2013 Page 2 UIOGD

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Math Assessment Level 45 Version C

1) A number, x, has 10 subtracted from it to produce a second number. The cube root of the second number is -1.

What is x?

2) In the time it takes Leisl to move 4 feet, Leisl's toy car can move 4 inches. Write the ratio of Leisl's toy car's speed

to Leisl's speed in lowest terms.

3) A 1-inch cube weighs 7 ounces. How many ounces would a 5-inch cube of the same material weigh?

4) Points A, B, C, and D are in that order on a line. The distance from A to C is 34 inches, from A to D is 56 inches,

and from B to D is 46 inches. How long is it from B to C?

5) If g and h are real numbers, not equal to 0, such that the product of g and 7 is h, what is the sum of 7 and g in terms

of h?

6) Taking pi as 3.14, what is the volume of a cylinder with a base radius of 2 cm and a height of 4 cm? Express your

answer to the nearest cubic cm.

7) Find the value of A + (B²)/92 when A=14 and B=23.

8) Equilateral triangle EFG is inscribed in a circle of radius r. What is the length of arc FG?

9) adjacent side / opposite side

10) The letter i is the symbol for the square root of what?

11) The cosine of an angle in a right triangle is the length of its ________ divided by the length of the hypotenuse.

12) A number, s, has 5 added to it to produce a second number. The cube root of the second number is -0.3. What is

s?

13) What is the base 10 equivalent of the base four number 1233?

14) A 1-centimeter cube has a mass of 3 grams. What would be the mass in grams of a 4-centimeter cube of the same

material?

15) In a group of girls, 22 enjoy singing, and the other 12 do not. If 19 girls in the group enjoy gardening, how many do

not enjoy gardening?

16) A whole number has exactly 5 prime factors; each prime factor is a different number. How many factors does the

whole number have?

17) The nth term in a certain sequence of numbers is defined to be 4n - 2 for all positive integer values of n. How much

larger is item 29 in the sequence than item 11?

18) Find the largest integer D such that 11D - 40 < 0.

19) A school has a lottery. Each of the 100 students with A averages gets 3 tickets, each of the 160 students with B

averages gets 2 tickets, and each of the remaining 100 students gets 1 ticket. What is the probability that the

winning ticket will belong to a student with neither an A nor a B average?20) What is the number of real roots for a quadratic with discriminant < 0?

Copyright Brad Jolly, 2013 Page 3 UIOGD

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Math Assessment Level 45 Version C

1) If √(50) = k√(2), what is k?

2) Parallel lines are lines in the same ________ that never intersect (meet).

3) What is p+2t if p=5 and t=7?

4) What is the base 10 equivalent of the base four number 11?

5) A 1-inch cube weighs 10 ounces. How many ounces would a 2-inch cube of the same material weigh?

6) What lowest terms fraction represents the probability of throwing a 4, followed by a 1, followed by a 2, followed by a

5 on four consecutive rolls of a standard die?

7) If the whole number (3 × 11^n) is divisible by exactly 6 integers, what is n?

8) The nth term in a certain sequence of numbers is defined to be 7n + 6 for all positive integer values of n. How much

larger is item 45 in the sequence than item 31?

9) If you multiply X by 5/6, and then multiply again by 66, the result is 605. What is X?

10) A school has a lottery. Each of the 100 students with A averages gets 7 tickets, each of the 100 students with B

averages gets 4 tickets, and each of the remaining 80 students gets 1 ticket. What is the probability that the

winning ticket will belong to a B student?11) What is the formula for the discriminant of a quadratic equation?

12) ________ angles formed by crossing lines have equal measures.

13) If the sum of integers a and b is 9, what is the greatest possible value of ab?

14) Write the expression that means 30 more than the cube of the number that is 47 more than y.

15) What is the base 10 equivalent of the base three number 20?

16) A circle of radius 11 cm is inside a circle of radius 17 cm. What is the area between the two circles in square cm, if

pi=3.14?

17) What lowest terms fraction represents the probability of throwing a 5, followed by a 4, followed by a 4 on three

consecutive rolls of a standard die?

18) At what point does the line that contains (5,4) and has slope 1 pass through the Y axis?

19) (T/F): If A = {3, 6/9, 6, 3/6, 9}, and B = {2, 3/9, 6, 9, 4/6}, then the union of A and B includes nothing but integers.

20) (T/F): If x² > y², then |x| > y.

Copyright Brad Jolly, 2013 Page 4 UIOGD

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Math Assessment Level 45 Version C

1) A school has a lottery. Each of the 100 students with A averages gets 5 tickets, each of the 200 students with B

averages gets 3 tickets, and each of the remaining 80 students gets 1 ticket. What is the probability that the

winning ticket will belong to an A student?2) What is the formula for “r” (polar radius) of point (x,y)

3) Write the quadratic formula for mx^2 - nx - p = 0

4) The cosine of an angle in a right triangle is the length of its adjacent side divided by the length of the ________.

5) Write the expression that means the square of the sum of b and w.

6) (T/F): The number 36.202202202202202. . . is rational.

7) What is the name for a line segment, line, or ray that splits a line segment or angle into two equal parts?

8) What lowest terms fraction represents the probability of throwing the same number on 4 consecutive rolls of a

standard die?

9) What are the coordinates of the point at which the line that contains (2,-2) and (4,-7) passes through the Y axis?

10) (T/F): If A = {4, 6/9, 6, 4/6, 9}, and B = {3, 4/9, 6, 9, 5/6}, then the intersection of A and B includes nothing but

integers.

11) Jack drives to Holly at 27 miles per hour and makes the return trip at 54 miles per hour. If the total driving time is 9

hours, what is the total distance driven?

12) Mageeton is entirely within Brighton. If the population of Mageeton is 55% of the population of the rest of Brighton,

what percentage of Brighton residents live in Mageeton?

13) What is the formula for “x” coordinate of polar coordinate point (r,theta)

14) xy + x + 10xyz - 10xy + 6xz + 10x =

15) The symbol for a triangle with vertices X, Y and Z is ________.

16) Write the expression that means one-half of the variable p.

17) (T/F): The square root of 16 is a rational number.

18) (T/F): In a plane, if lines A and B are perpendicular, and B is parallel to line C, then A is perpendicular to line C.

19) What lowest terms fraction represents the probability of throwing a 1 on 2 consecutive rolls of a standard die?

20) Clay has 4 more nickels than pennies, and 6 more dimes than nickels. If Clay has p pennies, what formula gives

the total value of Clay's coins in cents?

Copyright Brad Jolly, 2013 Page 5 UIOGD

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Math Assessment Level 45 Version C

1) The cube of the sum of s and 4 equals the product of s and 4. Write this fact as an equation.

2) Points, T, U, V, and W are points in order along a line. What is the intersection of ray UW and ray VT?

3) The simultaneous equations 4q + 10r = 26 and 8q - kr = 55 cannot be solved for what value of k?

4) What is 1 to the power -1?

5) (2x + 6)(4x + 3) =

6) (6x² + 20x - 16) ÷ (x + 4)

7) The __________ in a quadrilateral total 360°.

8) Let f(x) = x - 3, and let g(x) = (x² - 9)/(x + 3). How are these two functions different?

9) A change in temperature of -80 Fahrenheit degrees is equivalent to a change of how many Celsius degrees

(rounded to the nearest tenth)?

10) What is the slope of the line y = x/2 + 17 ?

11) Manuel has 4 more dimes than nickels, and 4 more quarters than dimes. If Manuel has is x nickels, what formula

gives the total value of Manuel's coins in cents?

12) The square of the sum of v and 3 equals the product of v and 3. Write this fact as an equation.

13) The function f(x) is linear. When x=8, f(x) = 29, and when x=10, f(x) = 35. Write the equation that defines f(x).

14) A pizza has an area of 4pi. If you slice the pizza into 2 equal slices, what is the perimeter of one slice?

15) What is the surface area of rectangular prism with dimsnsions 10, 8 and 7?

16) Consecutive angles in any ________ always add up to 180°.

17) What is the base 4 logarithm of 4?

18) A __________ is the locus of points in a plane that are the same distance from a given point.

19) Let f(x) = x + 4, and let g(x) = (x² - 16)/(x - 4). How are these two functions different?

20) What prefix means 10 to the -12 power?

Copyright Brad Jolly, 2013 Page 6 UIOGD

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Math Assessment Level 45 Version C

1) What is the slope of the line y = -3x ?

2) If 6x + 17 = 16, what is x?

3) (T/F): If all even integers are in set X, and m is an element of set X, then m is even.

4) (T/F): Lines A, B, and C, are in the same plane. If A crosses B and C, and all of the corresponding angles thus

formed are equal, then lines B and C are parallel.

5) If f(x) = 10x, what is f(q + r)?

6) Write 5.9x10^-2 as a whole number.

7) What is the point where a triangle's medians intersect?

8) Write 6 to the -2 power as a fraction.

9) __________ to the zero power is undefined.

10) A number, r, has 17 subtracted from it to produce a second number. The fifth root of the second number is 0.1.

What is r?

11) What unit of area equals 1/640 of a square mile?

12) What is the slope of the line y = -x?

13) A triangle with a base of 3 units has an area of 10.5 square units. What is the area of a second triangle that is

similar to the first one, but has a base of 24 units?

14) What is the value of -3t if t = 4w - 2 and w = 8?

15) There are 4 people randomly drawing for 4 offices. Two offices are extra large. What is the probability that Mitchell

and Jack will get the extra large offices?

16) If x² + x = 30, what are the two possible values of x² - x?

17) 7 x -3 + 3 x 2

18) A bearing is an angle measured clockwise from due ________.

19) In a triangle, two ______ are the same length if their opposite angles are equal.

20) The general equation of a circle is ________, where (a,b) is the center of the circle and r is the radius.

Copyright Brad Jolly, 2013 Page 7 UIOGD

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Math Assessment Level 45 Version C

1) A number, p, has 21 added to it to produce a second number. The fifth root of the second number is 0.4. What is

p?

2) How many square meters are equivalent to one hectare?

3) A 1-centimeter diameter sphere has a mass of 3.6 grams. What would be the mass in grams of a 4-centimeter

diameter sphere of the same material?

4) What is 72x^5y^7 divided by 9x^3y^4 ?

5) What is the value of -7p if p = 2t + 5 and t = 6?

6) A line going through (-2,3) has a slope of 4. What is the Y intercept of the line?

7) What is the equation of the line whose X intercept is (-6,0) and whose Y intercept is (0,-7) ?

8) What adjective means "sharing the same center, as in two circles that share a center?

9) An angle above horizontal is called an angle of ______________.

10) The slope of a line is the amount it changes in y when it moves one unit to the ________ in x.

11) If two ________ lines are cut by a third line, the alternate interior angles are congruent.

12) A number, v, has 20 subtracted from it to produce a second number. The cube root of the second number is 0.2.

What is v?

13) To the nearest liter, how many liters equal 3 gallons?

14) A 1-inch diameter sphere weighs 8.2 ounces. How many ounces would a 3-inch diameter sphere of the same

material weigh?

15) Use the distributive property to simplify this expression as much as possible: 2x^6y^5 - 1x^4y^2

16) What is the value of 3t if t = 5x - 6 and x = 5?

17) Children are dividing trading cards. If each gets 9, there will be 8 trading cards left over. However, 4 children do

not participate, so each participating child gets 11 trading cards, with 0 left. How many trading cards are there in

all?18) Elaine has 5 times as much money as Claire, and Fred has 6 as much money as Elaine. The total amount that they

have is $241.20; how much does Claire have?

19) What is the name for a perpendicular line segment from the vertex of a triangle to the opposite side?

20) What trig function is the reciprocal of sine?

Copyright Brad Jolly, 2013 Page 8 UIOGD

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Math Assessment Level 45 Version C

1) If C is the center of a circle, A and B are on the circle and angle ACB measures 9 degrees, what is the measure of

arc AB?

2) What is the solution set for x² > 64?

3) A number, u, has 7 added to it to produce a second number. The cube root of the second number is 0.7. What is

u?

4) How many cubic millimeters are in a cubic centimeter?

5) A 1-centimeter diameter sphere has a mass of 19 grams. What would be the mass of a 4-centimeter diameter

sphere of the same material?

6) What is the slope of the line whose equation is 5x - y = 6?

7) What can x be, if x² - 1 = 0?

8) Let x be a negative integer. Let p = (x - 0.57)². Let q = (x² - 0.57). Let r = (x³ - 0.57). Write p, q, and r in order from

least to greatest.

9) If card tables cost 24 dollars each, and vases cost 27 dollars each, what is the cost of X card tables and Y vases?

10) Regular pentagon FGHIJ is inscribed in a circle of radius r. What is the length of arc FH?

11) What trig function is defined as “opposite/hypotenuse?”

12) The ________ of an angle in a right triangle is the length of its opposite side divided by the length of the

hypotenuse.

13) Two lines ________ at (x,y) if x and y satisfy the equations of both lines.

14) A number, s, has 22 subtracted from it to produce a second number. The fifth root of the second number is -0.1.

What is s?

15) How many cubic feet are in a cubic yard?

16) A 1-inch diameter sphere weighs 15 ounces. How many ounces would a 5-inch diameter sphere of the same

material weigh?

17) What is the slope of the line whose equation is 7x + y = 8?

18) What number is known as the multiplicative identity element?

19) Let x be a negative integer. Let r = (x - 0.89)². Let s = (x² - 0.89). Let t = (x³ - 0.89). Write r, s, and t in order from

least to greatest.

20) Let C be a positive integer. When you divide C by 4, the remainder is 2. What is the remainder when 14C is

divided by 8?

Copyright Brad Jolly, 2013 Page 9 UIOGD

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Math Assessment Level 45 Version C

1) Regular pentagon DEFGH is inscribed in a circle of radius r. What is the length of arc EF?

2) What ratio of right triangle sides defines the sine function?

3) In any ________, longer sides are opposite larger angles.

4) An intercept is a point where a graph of a function touches or crosses an ________.

5) A number, x, has 16 added to it to produce a second number. The fifth root of the second number is -0.2. What is

x?

6) What is 4 to the zero power?

7) A 1-centimeter cube has a mass of 10 grams. What would be the mass in grams of a 2-centimeter cube of the

same material?

8) Points A, B, C, and D are in that order on a line. The distance from A to C is 41 inches, from B to C is 14 inches,

and from B to D is 37 inches. How long is it from A to D?

9) If e and f are real numbers such that the sum of e and 4 is f, what is the product of 4 and e in terms of f?

10) Taking pi as 3.14, what is the volume of a cylinder with a base diameter of 6 cm and a height of 2 cm? Express

your answer to the nearest cubic cm.

11) If the median value of a list of 105 consecutive integers is 46, what is the largest item in the list?

12) Square CDEF is inscribed in a circle of radius r. What is the length of arc DE?

13) If sin(x) = -0.185, sin(-x)

14) The symbol @ means “is ________ to.”

15) A line is ________ to a circle if it touches the circle at exactly one point.

16) A number, x, has 5 subtracted from it to produce a second number. The cube root of the second number is -0.8.

What is x?

17) In the time it takes Tina to move 5 meters, Tina's pet turtle can move 9 centimeters. Write the ratio of Tina's speed

to Tina's pet turtle's speed in lowest terms.

18) A 1-inch cube weighs 3.5 ounces. How many ounces would a 4-inch cube of the same material weigh?

19) Points A, B, C, and D are in that order on a line. The distance from A to C is 23 inches, from A to D is 49 inches,

and from B to D is 38 inches. How long is it from B to C?

20) If b and c are real numbers, not equal to 0, such that the product of b and 6 is c, what is the sum of 6 and b in terms

of c?

Copyright Brad Jolly, 2013 Page 10 UIOGD

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Math Assessment Level 45 Version C

1) Taking pi as 3.14, what is the volume of a cylinder with a base radius of 5 mm and a height of 2 mm? Express your

answer to the nearest cubic mm.

2) One angle of a triangle measures F degrees. The second measures 5F degrees, and the third measures G

degrees. If F and G are both integers, and F > 26 degrees, how many possible values are there for G?

3) Equilateral triangle DEF is inscribed in a circle of radius r. What is the length of arc EF?

4) hypotenuse / opposite side

5) What is the area of a circle with radius 3?

6) What is 8^5 x 8^6?

7) A number, s, has 11 added to it to produce a second number. The cube root of the second number is -0.2. What is

s?

8) In the time it takes Brock to move 5 feet, Brock's baby sister can move 4 inches. Write the ratio of Brock's speed to

Brock's baby sister's speed in lowest terms.

9) A 1-centimeter cube has a mass of 7 grams. What would be the mass in grams of a 2-centimeter cube of the same

material?

10) In a group of boys, 15 enjoy cooking, and 6 enjoy math. If 7 boys neither enjoy cooking nor enjoy math, what is the

smallest possible number of boys in the group?

11) A whole number has exactly 5 prime factors; each prime factor is a different number. How many factors does the

whole number have?

12) The nth term in a certain sequence of numbers is defined to be 3n - 5 for all positive integer values of n. How much

larger is item 71 in the sequence than item 59?

13) Find the value of F + (G²)/12 when F=14 and G=6.

14) A school has a lottery. Each of the 80 students with A averages gets 3 tickets, each of the 160 students with B

averages gets 2 tickets, and each of the remaining 60 students gets 1 ticket. What is the probability that the

winning ticket will belong to a student with neither an A nor a B average?15) How many real roots does 2x² + 4x + 4 have?

16) The collection of points in a plane that are the same distance from a given point forms a ________.

17) The sine of an angle in a right triangle is the length of its ________ side divided by the length of the hypotenuse.

18) A movie company uses a machine that costs 1200 dollars to produce DVDs. Blank DVDs cost $76 per box of 100.

How many dollars does it cost for the equipment and blanks to produce q DVDs, if q is a multiple of 100?

19) What is the base 10 equivalent of the base four number 31?

20) A 1-inch cube weighs 14 ounces. How many ounces would a 4-inch cube of the same material weigh?

Copyright Brad Jolly, 2013 Page 11 UIOGD

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Math Assessment Level 45 Version C

1) What lowest terms fraction represents the probability of throwing a 5, followed by a 4, followed by a 2, followed by a

4 on four consecutive rolls of a standard die?

2) If the whole number (3 × 13^n) is divisible by exactly 10 integers, what is n?

3) The nth term in a certain sequence of numbers is defined to be 9n + 7 for all positive integer values of n. How much

larger is item 61 in the sequence than item 46?

4) Find the largest integer G such that 2G - 1 < 0.

5) A school has a lottery. Each of the 160 students with A averages gets 7 tickets, each of the 200 students with B

averages gets 4 tickets, and each of the remaining 120 students gets 1 ticket. What is the probability that the

winning ticket will belong to a B student?6) What is the number of real roots for a quadratic with discriminant > 0?

7) Lines with ________ slope are horizontal

8) T/F: 14.776 is an integer.

9) What is q+9t if q=4 and t=8?

10) What is the base 10 equivalent of the base three number 200?

11) A circle of radius 9 cm is inside a circle of radius 15 cm. What is the area between the two circles in square cm, if

pi=3.14?

12) What lowest terms fraction represents the probability of throwing a 6, followed by a 3, followed by a 1 on three

consecutive rolls of a standard die?

13) At what point does the line that contains (-6,1) and has slope -8 pass through the Y axis?

14) (T/F): If A = {4, 9/10, 9, 4/9, 10}, and B = {3, 4/10, 9, 10, 5/9}, then the union of A and B includes nothing but

integers.

15) If you multiply X by 1/2, and then multiply again by 6, the result is 42. What is X?

16) A school has a lottery. Each of the 180 students with A averages gets 3 tickets, each of the 140 students with B

averages gets 2 tickets, and each of the remaining 20 students gets 1 ticket. What is the probability that the

winning ticket will belong to an A student?17) What is described by the polar equation r = k ?

18) If a line in the xy plane includes points (3,5) and (7,8), what is y when x=5?

19) In a triangle, two sides are the same length if their opposite _______ are equal.

20) Write the expression that means the square of the sum of p and 62.

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Math Assessment Level 45 Version C

1) How many composite numbers are greater than 0 and less than 10?

2) (T/F): Vertical angles always have the same measure.

3) There are 25 markers in a hat. Exactly 25 of them are yellow. Express the probability of drawing a yellow marker in

a single draw as a percentage.

4) What are the coordinates of the point at which the line that contains (-4,-4) and (1,-9) passes through the Y axis?

5) (T/F): If A = {3, 4/6, 4, 3/4, 6}, and B = {2, 3/6, 4, 6, 4/4}, then the intersection of A and B includes nothing but

integers.

6) (T/F): If x² > y², then x > y.

7) Sedtown is entirely within Holly. If the population of Sedtown is 185% of the population of the rest of Holly, what

percentage of Holly residents live in Sedtown?

8) What is the formula for “y” coordinate of polar coordinate point (r,theta)

9) The sine of an angle in a right triangle is the length of its opposite side divided by the length of the ________.

10) The symbol for a ________ with vertices A, B and C is rABC.

11) Write the expression that means the product of d and z.

12) (T/F): The square root of 5 is an irrational number.

13) (T/F): In a plane, if lines A and B are perpendicular, and B is parallel to line C, then A is parallel to line C.

14) What lowest terms fraction represents the probability of throwing the same number on 2 consecutive rolls of a

standard die?

15) The two short sides of a right triangle are 7 inches and 10 inches long. What is the area of the triangle?

16) The cube of the sum of r and 2 equals the product of r and 2. Write this fact as an equation.

17) Veronica drives to Shwabova at 23 miles per hour and makes the return trip at 46 miles per hour. If the total driving

time is 6 hours, what is the total distance driven?

18) The simultaneous equations 6q + 8r = 27 and 24q - kr = 113 cannot be solved for what value of k?

19) 10 to the power -4

20) What is the base 7 logarithm of 7?

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Math Assessment Level 45 Version C

1) T/F: The line y = 5x + 6 passes through (3,21)

2) The __________ of a sphere is 4pi(r²).

3) Let f(x) = x - 6, and let g(x) = (x² - 36)/(x + 6). How are these two functions different?

4) A temperature of 106 degrees Celsius is equivalent to a temperature of how many degrees Fahrenheit (rounded to

the nearest tenth)?

5) What lowest terms fraction represents the probability of throwing a 3 on 2 consecutive rolls of a standard die?

6) Leticia has 3 more nickels than pennies, and 6 more dimes than nickels. If Leticia has p pennies, what formula

gives the total value of Leticia's coins in cents?

7) The square of the sum of t and 10 equals the product of t and 10. Write this fact as an equation.

8) Points, N, O, P, and Q are points in order along a line. What is the intersection of ray OQ and ray PN?

9) A large cookie has an area of 4pi. If you slice the large cookie into 5 equal slices, what is the perimeter of one

slice?

10) What is the surface area of rectangular prism with dimensions 8, 3 and 8?

11) What is the slope of the line 6x + 8y = 4?

12) The sine and cosine functions always give results between ________.

13) A __________ is the locus of points in space that are the same distance from a given point.

14) Let f(x) = x + 6, and let g(x) = (x² - 36)/(x - 6). How are these two functions different?

15) What prefix means 10 to the -3 power?

16) What is the slope of the line y = x/1 + 10 ?

17) Stephanie has 2 more dimes than nickels, and 4 more quarters than dimes. If Stephanie has is x nickels, what

formula gives the total value of Stephanie's coins in cents?

18) (T/F): If all even integers are in set X, and m is an even integer, then m is an element of set X.

19) The function f(x) is linear. When x=1, f(x) = 7, and when x=5, f(x) = 43. Write the equation that defines f(x).

20) If f(x) = 5x, what is f(u + v)?

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Math Assessment Level 45 Version C

1) How many edges are in a heptagonal prism?

2) A triangle's ___________ intersect at its centroid.

3) A _______ of a convex polygon is a line segment from one vertex to another.

4) A function's __________ is everything that goes in; the range is the what comes out.

5) A number, p, has 14 subtracted from it to produce a second number. The fifth root of the second number is 0.3.

What is p?

6) What unit of area equals 640 square acres?

7) What is the slope of the line y = 8x ?

8) A triangle with a base of 4 units has an area of 6 square units. What is the area of a second triangle that is similar

to the first one, but has a base of 12 units?

9) What is the value of -3r if r = -10v - 2 and v = 3?

10) (T/F): A line crosses a set of parallel lines. Either all of the angles formed are right angles, or none of them is a

right angle.

11) If x² + x = 42, what are the two possible values of x² - x?

12) 4 x -11 + 10 x -5

13) What is the sum of the exterior angles of a convex polygon?

14) Opposite angles formed by crossing lines have ________ measures.

15) The definition of an __________ is a number with nothing to the right of the decimal point.

16) A number, w, has 19 added to it to produce a second number. The fifth root of the second number is 0.1. What is

w?

17) What unit of area is equivalent to 0.0001 hectare?

18) A 1-centimeter diameter sphere has a mass of 6.4 grams. What would be the mass in grams of a 5-centimeter

diameter sphere of the same material?

19) What is 40x^5y^5 divided by 5x^2y^2 ?

20) What is the value of -7p if p = 9u - 9 and u = 1?

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Math Assessment Level 45 Version C

1) There are 8 people randomly drawing for 8 offices. Two offices are extra large. What is the probability that Oscar

and Sandra will get the extra large offices?

2) Two angles, measuring 6z degrees and 6z degrees, form a straight angle. What is z?

3) What is the name for a part of a circle's circumference?

4) An angle below horizontal is called an angle of ______________.

5) The tangent of an angle in a right triangle is the length of its ________ divided by the length of its adjacent side.

6) What is 4^0 x 4^4?

7) A number, x, has 13 subtracted from it to produce a second number. The cube root of the second number is 0.5.

What is x?

8) What unit of area equals 10,000 square meters?

9) A 1-inch diameter sphere weighs 5.1 ounces. How many ounces would a 5-inch diameter sphere of the same

material weigh?

10) Use the distributive property to simplify this expression as much as possible: 3x^6y^6 - 1x^4y^4

11) What is the value of -11q if q = 9v + 2 and v = 5?

12) A line going through (0,-2) has a slope of -2. What is the Y intercept of the line?

13) What is the equation of the line whose X intercept is (4,0) and whose Y intercept is (0,-1) ?

14) What is a whole number, greater than one, that is divisible only by one and itself called?

15) What trig function is the reciprocal of cosine?

16) By convention, the vertices of a polygon are listed in ________ order.

17) What is the equation of the circle centered at (4,8) with radius 2?

18) A number, x, has 13 added to it to produce a second number. The cube root of the second number is 0.9. What is

x?

19) How many cubic centimeters are in a cubic meter?

20) A 1-centimeter diameter sphere has a mass of 18 grams. What would be the mass of a 3-centimeter diameter

sphere of the same material?

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Math Assessment Level 45 Version C

1) What is the slope of the line whose equation is 5x - y = 10?

2) What can x be, if x² - 100 = 0?

3) Children are dividing model airplanes. If each gets 5, there will be 21 model airplanes left over. However, 4

children do not participate, so each participating child gets 6 model airplanes, with 13 left. How many model

airplanes are there in all?4) Emilia has 7 times as much money as Elaine, and Gail has 9 as much money as Emilia. The total amount that they

have is $337.25; how much does Elaine have?

5) Regular pentagon FGHIJ is inscribed in a circle of radius r. What is the length of arc FH?

6) What trig function is defined as “adjacent/hypotenuse?”

7) In any triangle, ________ sides are opposite larger angles.

8) 2x^10y^9 times 4x^4y^4 =

9) A number, p, has 18 subtracted from it to produce a second number. The fifth root of the second number is -0.3.

What is p?

10) How many cubic inches are in a cubic foot?

11) A 1-inch diameter sphere weighs 13 ounces. How many ounces would a 3-inch diameter sphere of the same

material weigh?

12) What is the slope of the line whose equation is 5x + y = 5?

13) Which property of addition is reflected in the statement 70 + 0 = 70 ?

14) Let x be a negative integer. Let p = (x - 0.99)². Let q = (x² - 0.99). Let r = (x³ - 0.99). Write p, q, and r in order from

least to greatest.

15) Let D be a positive integer. When you divide D by 9, the remainder is 4. What is the remainder when 56D is

divided by 63?

16) Regular pentagon FGHIJ is inscribed in a circle of radius r. What is the length of arc GH?

17) What ratio of right triangle sides defines the cosine function?

18) If two sides of a 30-60-90 triangle measure 8 and 4√(3), how long is the third side?

19) (6xy^5)(8x^9y^9) =

20) A number, v, has 14 added to it to produce a second number. The fifth root of the second number is -0.2. What is

v?

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Math Assessment Level 45 Version C

1) What is the cube root of 343?

2) A 1-centimeter cube has a mass of 10.7 grams. What would be the mass in grams of a 4-centimeter cube of the

same material?

3) Points A, B, C, and D are in that order on a line. The distance from A to C is 46 inches, from B to C is 21 inches,

and from B to D is 41 inches. How long is it from A to D?

4) Which property of multiplication is reflected in the statement 82 x 1 = 82 ?

5) Let x be a negative integer. Let q = (x - 0.42)². Let r = (x² - 0.42). Let s = (x³ - 0.42). Write q, r, and s in order from

least to greatest.

6) If the median value of a list of 95 consecutive integers is 5, what is the largest item in the list?

7) Square ABCD is inscribed in a circle of radius r. What is the length of arc BC?

8) If cos(x) = 0.34, cos(-x)

9) Write the quadratic formula.

10) The tangent of an angle in a right triangle is the length of its opposite side divided by the length of its ________.

11) A number, w, has 20 subtracted from it to produce a second number. The cube root of the second number is -0.8.

What is w?

12) In the time it takes Veronica to move 5 meters, Veronica's pet turtle can move 50 millimeters. Write the ratio of

Veronica's speed to Veronica's pet turtle's speed in lowest terms.

13) A 1-inch cube weighs 2.1 ounces. How many ounces would a 3-inch cube of the same material weigh?

14) Points A, B, C, and D are in that order on a line. The distance from A to C is 48 inches, from A to D is 58 inches,

and from B to D is 32 inches. How long is it from B to C?

15) If a and b are real numbers such that the sum of a and 9 is b, what is the product of 9 and a in terms of b?

16) Taking pi as 3.14, what is the volume of a cylinder with a base diameter of 6 cm and a height of 2 cm? Express

your answer to the nearest cubic cm.

17) One angle of a triangle measures F degrees. The second measures 5F degrees, and the third measures G

degrees. If F and G are both integers, and F > 26 degrees, how many possible values are there for G?

18) Equilateral triangle BCD is inscribed in a circle of radius r. What is the length of arc CD?

19) hypotenuse / adjacent side

20) If 9b - -5 = -2, then 9b =

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Math Assessment Level 45 Version C

1) What is the symbol for the square root of -1?

2) A number, q, has 3 added to it to produce a second number. The cube root of the second number is -0.4. What is

q?

3) In the time it takes Maria to move 1 feet, Maria's baby brother can move 10 inches. Write the ratio of Maria's baby

brother's speed to Maria's speed in lowest terms.

4) A 1-centimeter cube has a mass of 18 grams. What would be the mass in grams of a 4-centimeter cube of the

same material?

5) Which property of multiplication is reflected in the statement 518 x 185 = 185 x 518 ?

6) If d and e are real numbers, not equal to 0, such that the product of d and 8 is e, what is the sum of 8 and d in terms

of e?

7) Taking pi as 3.14, what is the volume of a cylinder with a base radius of 7 feet and a height of 3 feet? Express your

answer to the nearest cubic foot.

8) Find the value of C + (D²)/12 when C=6 and D=4.

9) A school has a lottery. Each of the 20 students with A averages gets 7 tickets, each of the 160 students with B

averages gets 4 tickets, and each of the remaining 160 students gets 1 ticket. What is the probability that the

winning ticket will belong to a student with neither an A nor a B average?10) How many real roots does 6x² + 10x + 4 have?

11) Consecutive angles a parallelogram always add up to ________.

12) The ________ of an angle in a right triangle is the length of its opposite side divided by the length of its adjacent

side.

13) A movie company uses a machine that costs 825 dollars to produce DVDs. Blank DVDs cost $46 per box of 100.

How many dollars does it cost for the equipment and blanks to produce q DVDs, if q is a multiple of 100?

14) What is the base 10 equivalent of the base four number 331?

15) A 1-inch cube weighs 17 ounces. How many ounces would a 3-inch cube of the same material weigh?

16) (T/F): The intersection of three sets never has fewer elements than any of the three sets.

17) A whole number has exactly 4 prime factors; each prime factor is a different number. How many factors does the

whole number have?

18) The nth term in a certain sequence of numbers is defined to be 6n - 10 for all positive integer values of n. How

much larger is item 22 in the sequence than item 10?

19) Find the largest integer F such that 11F - 62 < 0.

20) A school has a lottery. Each of the 180 students with A averages gets 5 tickets, each of the 180 students with B

averages gets 3 tickets, and each of the remaining 80 students gets 1 ticket. What is the probability that the

winning ticket will belong to a B student?Copyright Brad Jolly, 2013 Page 19 UIOGD

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Math Assessment Level 45 Version C

1) What is the number of real roots for a quadratic with discriminant = 0?

2) T/F: If a > 3, then the square root of a is greater than the square root of 3.

3) Points are collinear if they are on the ________ line.

4) What is s+8w if s=8 and w=3?

5) What is the base 10 equivalent of the base four number 10?

6) A circle of diameter 9 cm is inside a circle 18 cm in radius. What is the area between the two circles in cm², if

pi=3.14?

7) What lowest terms fraction represents the probability of throwing a 1, followed by a 4, followed by a 6, followed by a

3 on four consecutive rolls of a standard die?

8) If the whole number (7 × 3^n) is divisible by exactly 6 integers, what is n?

9) The nth term in a certain sequence of numbers is defined to be 3n + 8 for all positive integer values of n. How much

larger is item 27 in the sequence than item 14?

10) If you multiply X by 4/5, and then multiply again by 25, the result is 440. What is X?

11) A school has a lottery. Each of the 100 students with A averages gets 7 tickets, each of the 200 students with B

averages gets 4 tickets, and each of the remaining 100 students gets 1 ticket. What is the probability that the

winning ticket will belong to an A student?12) What is described by the polar equation theta = k ?

13) If a right triangle's legs measure 8 and 15, how long is the hypotenuse?

14) What is the midpoint of the line segment between (11,13) and (16,17)?

15) Write the expression that means 100 less than the cube of the number that is 27 less than y.

16) What is the base 10 equivalent of the binary number 110?

17) When two lines intersect, two angles directly across from each other are called what?

18) What lowest terms fraction represents the probability of throwing a 2, followed by a 6, followed by a 5 on three

consecutive rolls of a standard die?

19) At what point does the line that contains (6,-3) and has slope -5 pass through the Y axis?

20) (T/F): If A = {3, 6/10, 6, 3/6, 10}, and B = {2, 3/10, 6, 10, 4/6}, then the union of A and B includes nothing but

integers.

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Math Assessment Level 45 Version C

1) (T/F): If x² > y², then |x| > |y|.

2) Sedtown is entirely within Wattville. If the population of Sedtown is 35% of the population of the rest of Wattville,

what percentage of Wattville residents live in Sedtown?

3) What is the formula for “theta” (polar angle) of point (x,y)

4) If two sides of a 30-60-90 triangle measure 6 and 3 how long is the third side?

5) What is 4 times the square root of negative 1?

6) Write the expression that means the product of d and z.

7) (T/F): The square root of 4 is an irrational number.

8) What word means "to split in half, as in an angle or line segement?"

9) What lowest terms fraction represents the probability of throwing the same number on 4 consecutive rolls of a

standard die?

10) What are the coordinates of the point at which the line that contains (2,-2) and (3,-6) passes through the Y axis?

11) (T/F): If A = {5, 9/13, 9, 5/9, 13}, and B = {4, 5/13, 9, 13, 6/9}, then the intersection of A and B includes nothing but

integers.

12) Hafiza drives to Shwabova at 24 miles per hour and makes the return trip at 48 miles per hour. If the total driving

time is 6 hours, what is the total distance driven?

13) The simultaneous equations 2q + 8r = 40 and 8q - kr = 164 cannot be solved for what value of k?

14) 10 to the power -7

15) Write 5 to the -2 power as a fraction.

16) T/F: The line y = 5x + 4 passes through (9,49)

17) The __________ of a sphere is (4/3)pi(r^3).

18) (T/F): The square root of 45 is a rational number.

19) A temperature of -78 degrees Fahrenheit is equivalent to a temperature of how many degrees Celsius (rounded to

the nearest tenth)?

20) What lowest terms fraction represents the probability of throwing a 4 on 2 consecutive rolls of a standard die?

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Math Assessment Level 45 Version C

1) Dan has 2 more nickels than pennies, and 6 more dimes than nickels. If Dan has p pennies, what formula gives the

total value of Dan's coins in cents?

2) The cube of the sum of y and 5 equals the product of y and 5. Write this fact as an equation.

3) Points, K, L, M, and N are points in order along a line. What is the intersection of ray LN and ray MK?

4) A pie has an area of 4pi. If you slice the pie into 9 equal slices, what is the perimeter of one slice?

5) What is 2 to the power -2?

6) The sum of the angle measures in a polygon with 7 sides is how many degrees?

7) Write the equation of a line that is parallel to y = 5x + 10.

8) The __________ in an n-sided polygon total 180(n-2) degrees.

9) Let f(x) = x - 5, and let g(x) = (x² - 25)/(x + 5). How are these two functions different?

10) A temperature of 25 degrees Celsius is equivalent to a temperature of how many degrees Fahrenheit?

11) What is the slope of the line y = -1x - 4 ?

12) Rajiv has 3 more dimes than nickels, and 3 more quarters than dimes. If Rajiv has is x nickels, what formula gives

the total value of Rajiv's coins in cents?

13) The square of the sum of x and 8 equals the product of x and 8. Write this fact as an equation.

14) The function f(x) is linear. When x=1, f(x) = 16, and when x=6, f(x) = 71. Write the equation that defines f(x).

15) If f(x) = 10x, what is f(s + t)?

16) How many edges in a decagonal prism?

17) The __________ of a parallelogram make two congruent triangle pairs.

18) The ________ of an angle in a right triangle is the length of its adjacent side divided by the length of the

hypotenuse.

19) A __________ is a collection of points; the plural is loci.

20) Let f(x) = x + 4, and let g(x) = (x² - 16)/(x - 4). How are these two functions different?

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Math Assessment Level 45 Version C

1) How many milliliters equal one megaliter?

2) What is the slope of the line y = x/3 ?

3) A triangle with a base of 10 units has an area of 20 square units. What is the area of a second triangle that is

similar to the first one, but has a base of 70 units?

4) What is the value of -11s if s = -3t - 9 and t = 1?

5) (T/F): A line crosses a set of parallel lines. It is possible that some, but not all, of the angles formed are right

angles.

6) Point C is the center of regular hexagon STUVWX. What is the measure of angle UCW?

7) 6 x 6 + -7 x 9

8) What is the line from a triangle's vertex to the midpoint of the opposite side?

9) If 11x = 66, what is x?

10) __________ to the zero power is 1.

11) A number, p, has 8 subtracted from it to produce a second number. The fifth root of the second number is 0.2.

What is p?

12) How many acres are in one square mile?

13) What is the slope of the line y = x?

14) What is 1x^5y^5 divided by 1x^3y^3 ?

15) What is the value of -6t if t = 9y - 1 and y = 10?

16) There are 10 people randomly drawing for 10 offices. Two offices are extra large. What is the probability that Steve

and Teresa will get the extra large offices?

17) If x² + x = 56, what are the two possible values of x² - x?

18) 2 + 2 x -9

19) A ___________ is an angle measured clockwise from due North.

20) What is the solution set for x² < 81?

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Math Assessment Level 45 Version C

1) Two lines are parallel if and only if they have the same ________.

2) A number, v, has 12 added to it to produce a second number. The fifth root of the second number is 0.2. What is

v?

3) What unit of area is equivalent to a square, 100 m on a side?

4) A 1-centimeter diameter sphere has a mass of 8 grams. What would be the mass in grams of a 2-centimeter

diameter sphere of the same material?

5) Use the distributive property to simplify this expression as much as possible: 14x^7y^6 - 2x^4y^3

6) What is the value of -8p if p = 8u + 1 and u = 4?

7) A line going through (-7,-2) has a slope of 4. What is the Y intercept of the line?

8) What is the equation of the line whose X intercept is (-3,0) and whose Y intercept is (0,-7) ?

9) Two concentric circles in the same plane are of different sizes. What is the area between them called?

10) What trig function is the reciprocal of tangent?

11) What is 10x - 7 when x = 8?

12) An ________ is a point where a graph of a function touches or crosses an axis.

13) A number, q, has 17 subtracted from it to produce a second number. The cube root of the second number is 0.5.

What is q?

14) To the nearest liter, how many liters equal 8 gallons?

15) A 1-inch diameter sphere weighs 2.5 ounces. How many ounces would a 5-inch diameter sphere of the same

material weigh?

16) Teresa bought three DVDs. The average (mean) price was $21.50, and the first two were sold at two for $33.00.

How much did the third DVD cost?

17) What is the value of 7p if p = 9s and s = 1?

18) Children are dividing puzzles. If each gets 6, there will be 6 puzzles left over. However, 3 children do not

participate, so each participating child gets 7 puzzles, with 9 left. How many puzzles are there in all?

19) Andrew has 10 times as much money as Aaron, and Antoinette has 9 as much money as Andrew. The total

amount that they have is $868.60; how much does Aaron have?

20) What are the six squares that make up the outer surface of a cube called?

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Math Assessment Level 45 Version C

1) What trig function is defined as “opposite/adjacent?”

2) In any triangle, longer sides are opposite ________ angles.

3) If x = 3, y = 5 and z = 2, what is xyz?

4) A number, y, has 4 added to it to produce a second number. The cube root of the second number is 0.8. What is

y?

5) How many cubic inches are in a cubic yard?

6) A 1-centimeter diameter sphere has a mass of 13 grams. What would be the mass of a 2-centimeter diameter

sphere of the same material?

7) What is the slope of the line whose equation is 11x - y = 3?

8) What can x be, if x² - 100 = 0?

9) Let x be a negative integer. Let r = (x - 0.02)². Let s = (x² - 0.02). Let t = (x³ - 0.02). Write r, s, and t in order from

least to greatest.

10) Let D be a positive integer. When you divide D by 2, the remainder is 1. What is the remainder when 24D is

divided by 6?

11) Regular pentagon BCDEF is inscribed in a circle of radius r. What is the length of arc BD?

12) What ratio of right triangle sides defines the sine function?

13) If C is the center of a circle, A and B are on the circle and arc AB measures 99 degrees, what is the measure of

angle ACB?

14) To increase the mean of 6 numbers by 2, by how much would the total have to increase?

15) A number, s, has 13 subtracted from it to produce a second number. The fifth root of the second number is -0.3.

What is s?

16) What is the cube root of 125?

17) A 1-inch diameter sphere weighs 16 ounces. How many ounces would a 2-inch diameter sphere of the same

material weigh?

18) What is the slope of the line whose equation is 5x + y = 6?

19) What number is known as the additive identity element?

20) Let x be a negative integer. Let r = (x - 0.06)². Let s = (x² - 0.06). Let t = (x³ - 0.06). Write r, s, and t in order from

least to greatest.

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Math Assessment Level 45 Version C

1) If the median value of a list of 119 consecutive integers is -15, what is the largest item in the list?

2) Regular pentagon ABCDE is inscribed in a circle of radius r. What is the length of arc BC?

3) If cos(x) = 0.504, cos(-x)

4) If one leg of a right triangle is 8, and the hypotenuse is 10, how long is the other leg?

5) If √(x) = 6√(5), what is x?

6) A number, p, has 4 added to it to produce a second number. The fifth root of the second number is -0.4. What is

p?

7) In the time it takes Gail to move 11 meters, Gail's pet turtle can move 50 millimeters. Write the ratio of Gail's speed

to Gail's pet turtle's speed in lowest terms.

8) A 1-centimeter cube has a mass of 3.3 grams. What would be the mass in grams of a 4-centimeter cube of the

same material?

9) Points A, B, C, and D are in that order on a line. The distance from A to C is 35 inches, from B to C is 17 inches,

and from B to D is 35 inches. How long is it from A to D?

10) If g and h are real numbers such that the sum of g and 4 is h, what is the product of 4 and g in terms of h?

11) Taking pi as 3.14, what is the volume of a cylinder with a base diameter of 2 inches and a height of 4 inches?

Express your answer to the nearest cubic inch.

12) One angle of a triangle measures E degrees. The second measures 2E degrees, and the third measures F

degrees. If E and F are both integers, and E > 55 degrees, how many possible values are there for F?

13) Square ABCD is inscribed in a circle of radius r. What is the length of arc BC?

14) If sin(x) = -0.013, sin(-x)

15) What is i squared?

16) (8x^2 + 38x - 10) ÷ (x + 5)

17) A number, x, has 10 subtracted from it to produce a second number. The cube root of the second number is -1.

What is x?

18) In the time it takes Leisl to move 4 feet, Leisl's toy car can move 4 inches. Write the ratio of Leisl's toy car's speed

to Leisl's speed in lowest terms.

19) A 1-inch cube weighs 7 ounces. How many ounces would a 5-inch cube of the same material weigh?

20) Points A, B, C, and D are in that order on a line. The distance from A to C is 34 inches, from A to D is 56 inches,

and from B to D is 46 inches. How long is it from B to C?

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Math Assessment Level 45 Version C

1) If g and h are real numbers, not equal to 0, such that the product of g and 7 is h, what is the sum of 7 and g in terms

of h?

2) Taking pi as 3.14, what is the volume of a cylinder with a base radius of 2 cm and a height of 4 cm? Express your

answer to the nearest cubic cm.

3) Find the value of A + (B²)/92 when A=14 and B=23.

4) Equilateral triangle EFG is inscribed in a circle of radius r. What is the length of arc FG?

5) adjacent side / opposite side

6) The letter i is the symbol for the square root of what?

7) The cosine of an angle in a right triangle is the length of its ________ divided by the length of the hypotenuse.

8) A number, s, has 5 added to it to produce a second number. The cube root of the second number is -0.3. What is

s?

9) What is the base 10 equivalent of the base four number 1233?

10) A 1-centimeter cube has a mass of 3 grams. What would be the mass in grams of a 4-centimeter cube of the same

material?

11) In a group of girls, 22 enjoy singing, and the other 12 do not. If 19 girls in the group enjoy gardening, how many do

not enjoy gardening?

12) A whole number has exactly 5 prime factors; each prime factor is a different number. How many factors does the

whole number have?

13) The nth term in a certain sequence of numbers is defined to be 4n - 2 for all positive integer values of n. How much

larger is item 29 in the sequence than item 11?

14) Find the largest integer D such that 11D - 40 < 0.

15) A school has a lottery. Each of the 100 students with A averages gets 3 tickets, each of the 160 students with B

averages gets 2 tickets, and each of the remaining 100 students gets 1 ticket. What is the probability that the

winning ticket will belong to a student with neither an A nor a B average?16) What is the number of real roots for a quadratic with discriminant < 0?

17) If √(50) = k√(2), what is k?

18) Parallel lines are lines in the same ________ that never intersect (meet).

19) What is p+2t if p=5 and t=7?

20) What is the base 10 equivalent of the base four number 11?

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Math Assessment Level 45 Version C

1) A 1-inch cube weighs 10 ounces. How many ounces would a 2-inch cube of the same material weigh?

2) What lowest terms fraction represents the probability of throwing a 4, followed by a 1, followed by a 2, followed by a

5 on four consecutive rolls of a standard die?

3) If the whole number (3 × 11^n) is divisible by exactly 6 integers, what is n?

4) The nth term in a certain sequence of numbers is defined to be 7n + 6 for all positive integer values of n. How much

larger is item 45 in the sequence than item 31?

5) If you multiply X by 5/6, and then multiply again by 66, the result is 605. What is X?

6) A school has a lottery. Each of the 100 students with A averages gets 7 tickets, each of the 100 students with B

averages gets 4 tickets, and each of the remaining 80 students gets 1 ticket. What is the probability that the

winning ticket will belong to a B student?7) What is the formula for the discriminant of a quadratic equation?

8) ________ angles formed by crossing lines have equal measures.

9) If the sum of integers a and b is 9, what is the greatest possible value of ab?

10) Write the expression that means 30 more than the cube of the number that is 47 more than y.

11) What is the base 10 equivalent of the base three number 20?

12) A circle of radius 11 cm is inside a circle of radius 17 cm. What is the area between the two circles in square cm, if

pi=3.14?

13) What lowest terms fraction represents the probability of throwing a 5, followed by a 4, followed by a 4 on three

consecutive rolls of a standard die?

14) At what point does the line that contains (5,4) and has slope 1 pass through the Y axis?

15) (T/F): If A = {3, 6/9, 6, 3/6, 9}, and B = {2, 3/9, 6, 9, 4/6}, then the union of A and B includes nothing but integers.

16) (T/F): If x² > y², then |x| > y.

17) A school has a lottery. Each of the 100 students with A averages gets 5 tickets, each of the 200 students with B

averages gets 3 tickets, and each of the remaining 80 students gets 1 ticket. What is the probability that the

winning ticket will belong to an A student?18) What is the formula for “r” (polar radius) of point (x,y)

19) Write the quadratic formula for mx^2 - nx - p = 0

20) The cosine of an angle in a right triangle is the length of its adjacent side divided by the length of the ________.

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Math Assessment Level 45 Version C

1) Write the expression that means the square of the sum of b and w.

2) (T/F): The number 36.202202202202202. . . is rational.

3) What is the name for a line segment, line, or ray that splits a line segment or angle into two equal parts?

4) What lowest terms fraction represents the probability of throwing the same number on 4 consecutive rolls of a

standard die?

5) What are the coordinates of the point at which the line that contains (2,-2) and (4,-7) passes through the Y axis?

6) (T/F): If A = {4, 6/9, 6, 4/6, 9}, and B = {3, 4/9, 6, 9, 5/6}, then the intersection of A and B includes nothing but

integers.

7) Jack drives to Holly at 27 miles per hour and makes the return trip at 54 miles per hour. If the total driving time is 9

hours, what is the total distance driven?

8) Mageeton is entirely within Brighton. If the population of Mageeton is 55% of the population of the rest of Brighton,

what percentage of Brighton residents live in Mageeton?

9) What is the formula for “x” coordinate of polar coordinate point (r,theta)

10) xy + x + 10xyz - 10xy + 6xz + 10x =

11) The symbol for a triangle with vertices X, Y and Z is ________.

12) Write the expression that means one-half of the variable p.

13) (T/F): The square root of 16 is a rational number.

14) (T/F): In a plane, if lines A and B are perpendicular, and B is parallel to line C, then A is perpendicular to line C.

15) What lowest terms fraction represents the probability of throwing a 1 on 2 consecutive rolls of a standard die?

16) Clay has 4 more nickels than pennies, and 6 more dimes than nickels. If Clay has p pennies, what formula gives

the total value of Clay's coins in cents?

17) The cube of the sum of s and 4 equals the product of s and 4. Write this fact as an equation.

18) Points, T, U, V, and W are points in order along a line. What is the intersection of ray UW and ray VT?

19) The simultaneous equations 4q + 10r = 26 and 8q - kr = 55 cannot be solved for what value of k?

20) What is 1 to the power -1?

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Math Assessment Level 45 Version C

1) (2x + 6)(4x + 3) =

2) (6x² + 20x - 16) ÷ (x + 4)

3) The __________ in a quadrilateral total 360°.

4) Let f(x) = x - 3, and let g(x) = (x² - 9)/(x + 3). How are these two functions different?

5) A change in temperature of -80 Fahrenheit degrees is equivalent to a change of how many Celsius degrees

(rounded to the nearest tenth)?

6) What is the slope of the line y = x/2 + 17 ?

7) Manuel has 4 more dimes than nickels, and 4 more quarters than dimes. If Manuel has is x nickels, what formula

gives the total value of Manuel's coins in cents?

8) The square of the sum of v and 3 equals the product of v and 3. Write this fact as an equation.

9) The function f(x) is linear. When x=8, f(x) = 29, and when x=10, f(x) = 35. Write the equation that defines f(x).

10) A pizza has an area of 4pi. If you slice the pizza into 2 equal slices, what is the perimeter of one slice?

11) What is the surface area of rectangular prism with dimsnsions 10, 8 and 7?

12) Consecutive angles in any ________ always add up to 180°.

13) What is the base 4 logarithm of 4?

14) A __________ is the locus of points in a plane that are the same distance from a given point.

15) Let f(x) = x + 4, and let g(x) = (x² - 16)/(x - 4). How are these two functions different?

16) What prefix means 10 to the -12 power?

17) What is the slope of the line y = -3x ?

18) If 6x + 17 = 16, what is x?

19) (T/F): If all even integers are in set X, and m is an element of set X, then m is even.

20) (T/F): Lines A, B, and C, are in the same plane. If A crosses B and C, and all of the corresponding angles thus

formed are equal, then lines B and C are parallel.

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Math Assessment Level 45 Version C

1) If f(x) = 10x, what is f(q + r)?

2) Write 5.9x10^-2 as a whole number.

3) What is the point where a triangle's medians intersect?

4) Write 6 to the -2 power as a fraction.

5) __________ to the zero power is undefined.

6) A number, r, has 17 subtracted from it to produce a second number. The fifth root of the second number is 0.1.

What is r?

7) What unit of area equals 1/640 of a square mile?

8) What is the slope of the line y = -x?

9) A triangle with a base of 3 units has an area of 10.5 square units. What is the area of a second triangle that is

similar to the first one, but has a base of 24 units?

10) What is the value of -3t if t = 4w - 2 and w = 8?

11) There are 4 people randomly drawing for 4 offices. Two offices are extra large. What is the probability that Mitchell

and Jack will get the extra large offices?

12) If x² + x = 30, what are the two possible values of x² - x?

13) 7 x -3 + 3 x 2

14) A bearing is an angle measured clockwise from due ________.

15) In a triangle, two ______ are the same length if their opposite angles are equal.

16) The general equation of a circle is ________, where (a,b) is the center of the circle and r is the radius.

17) A number, p, has 21 added to it to produce a second number. The fifth root of the second number is 0.4. What is

p?

18) How many square meters are equivalent to one hectare?

19) A 1-centimeter diameter sphere has a mass of 3.6 grams. What would be the mass in grams of a 4-centimeter

diameter sphere of the same material?

20) What is 72x^5y^7 divided by 9x^3y^4 ?

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Math Assessment Level 45 Version C

1) What is the value of -7p if p = 2t + 5 and t = 6?

2) A line going through (-2,3) has a slope of 4. What is the Y intercept of the line?

3) What is the equation of the line whose X intercept is (-6,0) and whose Y intercept is (0,-7) ?

4) What adjective means "sharing the same center, as in two circles that share a center?

5) An angle above horizontal is called an angle of ______________.

6) The slope of a line is the amount it changes in y when it moves one unit to the ________ in x.

7) If two ________ lines are cut by a third line, the alternate interior angles are congruent.

8) A number, v, has 20 subtracted from it to produce a second number. The cube root of the second number is 0.2.

What is v?

9) To the nearest liter, how many liters equal 3 gallons?

10) A 1-inch diameter sphere weighs 8.2 ounces. How many ounces would a 3-inch diameter sphere of the same

material weigh?

11) Use the distributive property to simplify this expression as much as possible: 2x^6y^5 - 1x^4y^2

12) What is the value of 3t if t = 5x - 6 and x = 5?

13) Children are dividing trading cards. If each gets 9, there will be 8 trading cards left over. However, 4 children do

not participate, so each participating child gets 11 trading cards, with 0 left. How many trading cards are there in

all?14) Elaine has 5 times as much money as Claire, and Fred has 6 as much money as Elaine. The total amount that they

have is $241.20; how much does Claire have?

15) What is the name for a perpendicular line segment from the vertex of a triangle to the opposite side?

16) What trig function is the reciprocal of sine?

17) If C is the center of a circle, A and B are on the circle and angle ACB measures 9 degrees, what is the measure of

arc AB?

18) What is the solution set for x² > 64?

19) A number, u, has 7 added to it to produce a second number. The cube root of the second number is 0.7. What is

u?

20) How many cubic millimeters are in a cubic centimeter?

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Math Assessment Level 45 Version C

1) A 1-centimeter diameter sphere has a mass of 19 grams. What would be the mass of a 4-centimeter diameter

sphere of the same material?

2) What is the slope of the line whose equation is 5x - y = 6?

3) What can x be, if x² - 1 = 0?

4) Let x be a negative integer. Let p = (x - 0.57)². Let q = (x² - 0.57). Let r = (x³ - 0.57). Write p, q, and r in order from

least to greatest.

5) If card tables cost 24 dollars each, and vases cost 27 dollars each, what is the cost of X card tables and Y vases?

6) Regular pentagon FGHIJ is inscribed in a circle of radius r. What is the length of arc FH?

7) What trig function is defined as “opposite/hypotenuse?”

8) The ________ of an angle in a right triangle is the length of its opposite side divided by the length of the

hypotenuse.

9) Two lines ________ at (x,y) if x and y satisfy the equations of both lines.

10) A number, s, has 22 subtracted from it to produce a second number. The fifth root of the second number is -0.1.

What is s?

11) How many cubic feet are in a cubic yard?

12) A 1-inch diameter sphere weighs 15 ounces. How many ounces would a 5-inch diameter sphere of the same

material weigh?

13) What is the slope of the line whose equation is 7x + y = 8?

14) What number is known as the multiplicative identity element?

15) Let x be a negative integer. Let r = (x - 0.89)². Let s = (x² - 0.89). Let t = (x³ - 0.89). Write r, s, and t in order from

least to greatest.

16) Let C be a positive integer. When you divide C by 4, the remainder is 2. What is the remainder when 14C is

divided by 8?

17) Regular pentagon DEFGH is inscribed in a circle of radius r. What is the length of arc EF?

18) What ratio of right triangle sides defines the sine function?

19) In any ________, longer sides are opposite larger angles.

20) An intercept is a point where a graph of a function touches or crosses an ________.

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Math Assessment Level 45 Version C

1) A number, x, has 16 added to it to produce a second number. The fifth root of the second number is -0.2. What is

x?

2) What is 4 to the zero power?

3) A 1-centimeter cube has a mass of 10 grams. What would be the mass in grams of a 2-centimeter cube of the

same material?

4) Points A, B, C, and D are in that order on a line. The distance from A to C is 41 inches, from B to C is 14 inches,

and from B to D is 37 inches. How long is it from A to D?

5) If e and f are real numbers such that the sum of e and 4 is f, what is the product of 4 and e in terms of f?

6) Taking pi as 3.14, what is the volume of a cylinder with a base diameter of 6 cm and a height of 2 cm? Express

your answer to the nearest cubic cm.

7) If the median value of a list of 105 consecutive integers is 46, what is the largest item in the list?

8) Square CDEF is inscribed in a circle of radius r. What is the length of arc DE?

9) If sin(x) = -0.185, sin(-x)

10) The symbol @ means “is ________ to.”

11) A line is ________ to a circle if it touches the circle at exactly one point.

12) A number, x, has 5 subtracted from it to produce a second number. The cube root of the second number is -0.8.

What is x?

13) In the time it takes Tina to move 5 meters, Tina's pet turtle can move 9 centimeters. Write the ratio of Tina's speed

to Tina's pet turtle's speed in lowest terms.

14) A 1-inch cube weighs 3.5 ounces. How many ounces would a 4-inch cube of the same material weigh?

15) Points A, B, C, and D are in that order on a line. The distance from A to C is 23 inches, from A to D is 49 inches,

and from B to D is 38 inches. How long is it from B to C?

16) If b and c are real numbers, not equal to 0, such that the product of b and 6 is c, what is the sum of 6 and b in terms

of c?

17) Taking pi as 3.14, what is the volume of a cylinder with a base radius of 5 mm and a height of 2 mm? Express your

answer to the nearest cubic mm.

18) One angle of a triangle measures F degrees. The second measures 5F degrees, and the third measures G

degrees. If F and G are both integers, and F > 26 degrees, how many possible values are there for G?

19) Equilateral triangle DEF is inscribed in a circle of radius r. What is the length of arc EF?

20) hypotenuse / opposite side

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Math Assessment Level 45 Version C

1) What is the area of a circle with radius 3?

2) What is 8^5 x 8^6?

3) A number, s, has 11 added to it to produce a second number. The cube root of the second number is -0.2. What is

s?

4) In the time it takes Brock to move 5 feet, Brock's baby sister can move 4 inches. Write the ratio of Brock's speed to

Brock's baby sister's speed in lowest terms.

5) A 1-centimeter cube has a mass of 7 grams. What would be the mass in grams of a 2-centimeter cube of the same

material?

6) In a group of boys, 15 enjoy cooking, and 6 enjoy math. If 7 boys neither enjoy cooking nor enjoy math, what is the

smallest possible number of boys in the group?

7) A whole number has exactly 5 prime factors; each prime factor is a different number. How many factors does the

whole number have?

8) The nth term in a certain sequence of numbers is defined to be 3n - 5 for all positive integer values of n. How much

larger is item 71 in the sequence than item 59?

9) Find the value of F + (G²)/12 when F=14 and G=6.

10) A school has a lottery. Each of the 80 students with A averages gets 3 tickets, each of the 160 students with B

averages gets 2 tickets, and each of the remaining 60 students gets 1 ticket. What is the probability that the

winning ticket will belong to a student with neither an A nor a B average?11) How many real roots does 2x² + 4x + 4 have?

12) The collection of points in a plane that are the same distance from a given point forms a ________.

13) The sine of an angle in a right triangle is the length of its ________ side divided by the length of the hypotenuse.

14) A movie company uses a machine that costs 1200 dollars to produce DVDs. Blank DVDs cost $76 per box of 100.

How many dollars does it cost for the equipment and blanks to produce q DVDs, if q is a multiple of 100?

15) What is the base 10 equivalent of the base four number 31?

16) A 1-inch cube weighs 14 ounces. How many ounces would a 4-inch cube of the same material weigh?

17) What lowest terms fraction represents the probability of throwing a 5, followed by a 4, followed by a 2, followed by a

4 on four consecutive rolls of a standard die?

18) If the whole number (3 × 13^n) is divisible by exactly 10 integers, what is n?

19) The nth term in a certain sequence of numbers is defined to be 9n + 7 for all positive integer values of n. How much

larger is item 61 in the sequence than item 46?

20) Find the largest integer G such that 2G - 1 < 0.

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Math Assessment Level 45 Version C

1) A school has a lottery. Each of the 160 students with A averages gets 7 tickets, each of the 200 students with B

averages gets 4 tickets, and each of the remaining 120 students gets 1 ticket. What is the probability that the

winning ticket will belong to a B student?2) What is the number of real roots for a quadratic with discriminant > 0?

3) Lines with ________ slope are horizontal

4) T/F: 14.776 is an integer.

5) What is q+9t if q=4 and t=8?

6) What is the base 10 equivalent of the base three number 200?

7) A circle of radius 9 cm is inside a circle of radius 15 cm. What is the area between the two circles in square cm, if

pi=3.14?

8) What lowest terms fraction represents the probability of throwing a 6, followed by a 3, followed by a 1 on three

consecutive rolls of a standard die?

9) At what point does the line that contains (-6,1) and has slope -8 pass through the Y axis?

10) (T/F): If A = {4, 9/10, 9, 4/9, 10}, and B = {3, 4/10, 9, 10, 5/9}, then the union of A and B includes nothing but

integers.

11) If you multiply X by 1/2, and then multiply again by 6, the result is 42. What is X?

12) A school has a lottery. Each of the 180 students with A averages gets 3 tickets, each of the 140 students with B

averages gets 2 tickets, and each of the remaining 20 students gets 1 ticket. What is the probability that the

winning ticket will belong to an A student?13) What is described by the polar equation r = k ?

14) If a line in the xy plane includes points (3,5) and (7,8), what is y when x=5?

15) In a triangle, two sides are the same length if their opposite _______ are equal.

16) Write the expression that means the square of the sum of p and 62.

17) How many composite numbers are greater than 0 and less than 10?

18) (T/F): Vertical angles always have the same measure.

19) There are 25 markers in a hat. Exactly 25 of them are yellow. Express the probability of drawing a yellow marker in

a single draw as a percentage.

20) What are the coordinates of the point at which the line that contains (-4,-4) and (1,-9) passes through the Y axis?

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Math Assessment Level 45 Version C

1) (T/F): If A = {3, 4/6, 4, 3/4, 6}, and B = {2, 3/6, 4, 6, 4/4}, then the intersection of A and B includes nothing but

integers.

2) (T/F): If x² > y², then x > y.

3) Sedtown is entirely within Holly. If the population of Sedtown is 185% of the population of the rest of Holly, what

percentage of Holly residents live in Sedtown?

4) What is the formula for “y” coordinate of polar coordinate point (r,theta)

5) The sine of an angle in a right triangle is the length of its opposite side divided by the length of the ________.

6) The symbol for a ________ with vertices A, B and C is rABC.

7) Write the expression that means the product of d and z.

8) (T/F): The square root of 5 is an irrational number.

9) (T/F): In a plane, if lines A and B are perpendicular, and B is parallel to line C, then A is parallel to line C.

10) What lowest terms fraction represents the probability of throwing the same number on 2 consecutive rolls of a

standard die?

11) The two short sides of a right triangle are 7 inches and 10 inches long. What is the area of the triangle?

12) The cube of the sum of r and 2 equals the product of r and 2. Write this fact as an equation.

13) Veronica drives to Shwabova at 23 miles per hour and makes the return trip at 46 miles per hour. If the total driving

time is 6 hours, what is the total distance driven?

14) The simultaneous equations 6q + 8r = 27 and 24q - kr = 113 cannot be solved for what value of k?

15) 10 to the power -4

16) What is the base 7 logarithm of 7?

17) T/F: The line y = 5x + 6 passes through (3,21)

18) The __________ of a sphere is 4pi(r²).

19) Let f(x) = x - 6, and let g(x) = (x² - 36)/(x + 6). How are these two functions different?

20) A temperature of 106 degrees Celsius is equivalent to a temperature of how many degrees Fahrenheit (rounded to

the nearest tenth)?

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Math Assessment Level 45 Version C

1) What lowest terms fraction represents the probability of throwing a 3 on 2 consecutive rolls of a standard die?

2) Leticia has 3 more nickels than pennies, and 6 more dimes than nickels. If Leticia has p pennies, what formula

gives the total value of Leticia's coins in cents?

3) The square of the sum of t and 10 equals the product of t and 10. Write this fact as an equation.

4) Points, N, O, P, and Q are points in order along a line. What is the intersection of ray OQ and ray PN?

5) A large cookie has an area of 4pi. If you slice the large cookie into 5 equal slices, what is the perimeter of one

slice?

6) What is the surface area of rectangular prism with dimensions 8, 3 and 8?

7) What is the slope of the line 6x + 8y = 4?

8) The sine and cosine functions always give results between ________.

9) A __________ is the locus of points in space that are the same distance from a given point.

10) Let f(x) = x + 6, and let g(x) = (x² - 36)/(x - 6). How are these two functions different?

11) What prefix means 10 to the -3 power?

12) What is the slope of the line y = x/1 + 10 ?

13) Stephanie has 2 more dimes than nickels, and 4 more quarters than dimes. If Stephanie has is x nickels, what

formula gives the total value of Stephanie's coins in cents?

14) (T/F): If all even integers are in set X, and m is an even integer, then m is an element of set X.

15) The function f(x) is linear. When x=1, f(x) = 7, and when x=5, f(x) = 43. Write the equation that defines f(x).

16) If f(x) = 5x, what is f(u + v)?

17) How many edges are in a heptagonal prism?

18) A triangle's ___________ intersect at its centroid.

19) A _______ of a convex polygon is a line segment from one vertex to another.

20) A function's __________ is everything that goes in; the range is the what comes out.

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Math Assessment Level 45 Version C

1) A number, p, has 14 subtracted from it to produce a second number. The fifth root of the second number is 0.3.

What is p?

2) What unit of area equals 640 square acres?

3) What is the slope of the line y = 8x ?

4) A triangle with a base of 4 units has an area of 6 square units. What is the area of a second triangle that is similar

to the first one, but has a base of 12 units?

5) What is the value of -3r if r = -10v - 2 and v = 3?

6) (T/F): A line crosses a set of parallel lines. Either all of the angles formed are right angles, or none of them is a

right angle.

7) If x² + x = 42, what are the two possible values of x² - x?

8) 4 x -11 + 10 x -5

9) What is the sum of the exterior angles of a convex polygon?

10) Opposite angles formed by crossing lines have ________ measures.

11) The definition of an __________ is a number with nothing to the right of the decimal point.

12) A number, w, has 19 added to it to produce a second number. The fifth root of the second number is 0.1. What is

w?

13) What unit of area is equivalent to 0.0001 hectare?

14) A 1-centimeter diameter sphere has a mass of 6.4 grams. What would be the mass in grams of a 5-centimeter

diameter sphere of the same material?

15) What is 40x^5y^5 divided by 5x^2y^2 ?

16) What is the value of -7p if p = 9u - 9 and u = 1?

17) There are 8 people randomly drawing for 8 offices. Two offices are extra large. What is the probability that Oscar

and Sandra will get the extra large offices?

18) Two angles, measuring 6z degrees and 6z degrees, form a straight angle. What is z?

19) What is the name for a part of a circle's circumference?

20) An angle below horizontal is called an angle of ______________.

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Math Assessment Level 45 Version C

1) The tangent of an angle in a right triangle is the length of its ________ divided by the length of its adjacent side.

2) What is 4^0 x 4^4?

3) A number, x, has 13 subtracted from it to produce a second number. The cube root of the second number is 0.5.

What is x?

4) What unit of area equals 10,000 square meters?

5) A 1-inch diameter sphere weighs 5.1 ounces. How many ounces would a 5-inch diameter sphere of the same

material weigh?

6) Use the distributive property to simplify this expression as much as possible: 3x^6y^6 - 1x^4y^4

7) What is the value of -11q if q = 9v + 2 and v = 5?

8) A line going through (0,-2) has a slope of -2. What is the Y intercept of the line?

9) What is the equation of the line whose X intercept is (4,0) and whose Y intercept is (0,-1) ?

10) What is a whole number, greater than one, that is divisible only by one and itself called?

11) What trig function is the reciprocal of cosine?

12) By convention, the vertices of a polygon are listed in ________ order.

13) What is the equation of the circle centered at (4,8) with radius 2?

14) A number, x, has 13 added to it to produce a second number. The cube root of the second number is 0.9. What is

x?

15) How many cubic centimeters are in a cubic meter?

16) A 1-centimeter diameter sphere has a mass of 18 grams. What would be the mass of a 3-centimeter diameter

sphere of the same material?

17) What is the slope of the line whose equation is 5x - y = 10?

18) What can x be, if x² - 100 = 0?

19) Children are dividing model airplanes. If each gets 5, there will be 21 model airplanes left over. However, 4

children do not participate, so each participating child gets 6 model airplanes, with 13 left. How many model

airplanes are there in all?20) Emilia has 7 times as much money as Elaine, and Gail has 9 as much money as Emilia. The total amount that they

have is $337.25; how much does Elaine have?

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Math Assessment Level 45 Version C

1) Regular pentagon FGHIJ is inscribed in a circle of radius r. What is the length of arc FH?

2) What trig function is defined as “adjacent/hypotenuse?”

3) In any triangle, ________ sides are opposite larger angles.

4) 2x^10y^9 times 4x^4y^4 =

5) A number, p, has 18 subtracted from it to produce a second number. The fifth root of the second number is -0.3.

What is p?

6) How many cubic inches are in a cubic foot?

7) A 1-inch diameter sphere weighs 13 ounces. How many ounces would a 3-inch diameter sphere of the same

material weigh?

8) What is the slope of the line whose equation is 5x + y = 5?

9) Which property of addition is reflected in the statement 70 + 0 = 70 ?

10) Let x be a negative integer. Let p = (x - 0.99)². Let q = (x² - 0.99). Let r = (x³ - 0.99). Write p, q, and r in order from

least to greatest.

11) Let D be a positive integer. When you divide D by 9, the remainder is 4. What is the remainder when 56D is

divided by 63?

12) Regular pentagon FGHIJ is inscribed in a circle of radius r. What is the length of arc GH?

13) What ratio of right triangle sides defines the cosine function?

14) If two sides of a 30-60-90 triangle measure 8 and 4√(3), how long is the third side?

15) (6xy^5)(8x^9y^9) =

16) A number, v, has 14 added to it to produce a second number. The fifth root of the second number is -0.2. What is

v?

17) What is the cube root of 343?

18) A 1-centimeter cube has a mass of 10.7 grams. What would be the mass in grams of a 4-centimeter cube of the

same material?

19) Points A, B, C, and D are in that order on a line. The distance from A to C is 46 inches, from B to C is 21 inches,

and from B to D is 41 inches. How long is it from A to D?

20) Which property of multiplication is reflected in the statement 82 x 1 = 82 ?

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Math Assessment Level 45 Version C

1) Let x be a negative integer. Let q = (x - 0.42)². Let r = (x² - 0.42). Let s = (x³ - 0.42). Write q, r, and s in order from

least to greatest.

2) If the median value of a list of 95 consecutive integers is 5, what is the largest item in the list?

3) Square ABCD is inscribed in a circle of radius r. What is the length of arc BC?

4) If cos(x) = 0.34, cos(-x)

5) Write the quadratic formula.

6) The tangent of an angle in a right triangle is the length of its opposite side divided by the length of its ________.

7) A number, w, has 20 subtracted from it to produce a second number. The cube root of the second number is -0.8.

What is w?

8) In the time it takes Veronica to move 5 meters, Veronica's pet turtle can move 50 millimeters. Write the ratio of

Veronica's speed to Veronica's pet turtle's speed in lowest terms.

9) A 1-inch cube weighs 2.1 ounces. How many ounces would a 3-inch cube of the same material weigh?

10) Points A, B, C, and D are in that order on a line. The distance from A to C is 48 inches, from A to D is 58 inches,

and from B to D is 32 inches. How long is it from B to C?

11) If a and b are real numbers such that the sum of a and 9 is b, what is the product of 9 and a in terms of b?

12) Taking pi as 3.14, what is the volume of a cylinder with a base diameter of 6 cm and a height of 2 cm? Express

your answer to the nearest cubic cm.

13) One angle of a triangle measures F degrees. The second measures 5F degrees, and the third measures G

degrees. If F and G are both integers, and F > 26 degrees, how many possible values are there for G?

14) Equilateral triangle BCD is inscribed in a circle of radius r. What is the length of arc CD?

15) hypotenuse / adjacent side

16) If 9b - -5 = -2, then 9b =

17) What is the symbol for the square root of -1?

18) A number, q, has 3 added to it to produce a second number. The cube root of the second number is -0.4. What is

q?

19) In the time it takes Maria to move 1 feet, Maria's baby brother can move 10 inches. Write the ratio of Maria's baby

brother's speed to Maria's speed in lowest terms.

20) A 1-centimeter cube has a mass of 18 grams. What would be the mass in grams of a 4-centimeter cube of the

same material?

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Math Assessment Level 45 Version C

1) Which property of multiplication is reflected in the statement 518 x 185 = 185 x 518 ?

2) If d and e are real numbers, not equal to 0, such that the product of d and 8 is e, what is the sum of 8 and d in terms

of e?

3) Taking pi as 3.14, what is the volume of a cylinder with a base radius of 7 feet and a height of 3 feet? Express your

answer to the nearest cubic foot.

4) Find the value of C + (D²)/12 when C=6 and D=4.

5) A school has a lottery. Each of the 20 students with A averages gets 7 tickets, each of the 160 students with B

averages gets 4 tickets, and each of the remaining 160 students gets 1 ticket. What is the probability that the

winning ticket will belong to a student with neither an A nor a B average?6) How many real roots does 6x² + 10x + 4 have?

7) Consecutive angles a parallelogram always add up to ________.

8) The ________ of an angle in a right triangle is the length of its opposite side divided by the length of its adjacent

side.

9) A movie company uses a machine that costs 825 dollars to produce DVDs. Blank DVDs cost $46 per box of 100.

How many dollars does it cost for the equipment and blanks to produce q DVDs, if q is a multiple of 100?

10) What is the base 10 equivalent of the base four number 331?

11) A 1-inch cube weighs 17 ounces. How many ounces would a 3-inch cube of the same material weigh?

12) (T/F): The intersection of three sets never has fewer elements than any of the three sets.

13) A whole number has exactly 4 prime factors; each prime factor is a different number. How many factors does the

whole number have?

14) The nth term in a certain sequence of numbers is defined to be 6n - 10 for all positive integer values of n. How

much larger is item 22 in the sequence than item 10?

15) Find the largest integer F such that 11F - 62 < 0.

16) A school has a lottery. Each of the 180 students with A averages gets 5 tickets, each of the 180 students with B

averages gets 3 tickets, and each of the remaining 80 students gets 1 ticket. What is the probability that the

winning ticket will belong to a B student?17) What is the number of real roots for a quadratic with discriminant = 0?

18) T/F: If a > 3, then the square root of a is greater than the square root of 3.

19) Points are collinear if they are on the ________ line.

20) What is s+8w if s=8 and w=3?

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Math Assessment Level 45 Version C

1) What is the base 10 equivalent of the base four number 10?

2) A circle of diameter 9 cm is inside a circle 18 cm in radius. What is the area between the two circles in cm², if

pi=3.14?

3) What lowest terms fraction represents the probability of throwing a 1, followed by a 4, followed by a 6, followed by a

3 on four consecutive rolls of a standard die?

4) If the whole number (7 × 3^n) is divisible by exactly 6 integers, what is n?

5) The nth term in a certain sequence of numbers is defined to be 3n + 8 for all positive integer values of n. How much

larger is item 27 in the sequence than item 14?

6) If you multiply X by 4/5, and then multiply again by 25, the result is 440. What is X?

7) A school has a lottery. Each of the 100 students with A averages gets 7 tickets, each of the 200 students with B

averages gets 4 tickets, and each of the remaining 100 students gets 1 ticket. What is the probability that the

winning ticket will belong to an A student?8) What is described by the polar equation theta = k ?

9) If a right triangle's legs measure 8 and 15, how long is the hypotenuse?

10) What is the midpoint of the line segment between (11,13) and (16,17)?

11) Write the expression that means 100 less than the cube of the number that is 27 less than y.

12) What is the base 10 equivalent of the binary number 110?

13) When two lines intersect, two angles directly across from each other are called what?

14) What lowest terms fraction represents the probability of throwing a 2, followed by a 6, followed by a 5 on three

consecutive rolls of a standard die?

15) At what point does the line that contains (6,-3) and has slope -5 pass through the Y axis?

16) (T/F): If A = {3, 6/10, 6, 3/6, 10}, and B = {2, 3/10, 6, 10, 4/6}, then the union of A and B includes nothing but

integers.

17) (T/F): If x² > y², then |x| > |y|.

18) Sedtown is entirely within Wattville. If the population of Sedtown is 35% of the population of the rest of Wattville,

what percentage of Wattville residents live in Sedtown?

19) What is the formula for “theta” (polar angle) of point (x,y)

20) If two sides of a 30-60-90 triangle measure 6 and 3 how long is the third side?

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Math Assessment Level 45 Version C

1) What is 4 times the square root of negative 1?

2) Write the expression that means the product of d and z.

3) (T/F): The square root of 4 is an irrational number.

4) What word means "to split in half, as in an angle or line segement?"

5) What lowest terms fraction represents the probability of throwing the same number on 4 consecutive rolls of a

standard die?

6) What are the coordinates of the point at which the line that contains (2,-2) and (3,-6) passes through the Y axis?

7) (T/F): If A = {5, 9/13, 9, 5/9, 13}, and B = {4, 5/13, 9, 13, 6/9}, then the intersection of A and B includes nothing but

integers.

8) Hafiza drives to Shwabova at 24 miles per hour and makes the return trip at 48 miles per hour. If the total driving

time is 6 hours, what is the total distance driven?

9) The simultaneous equations 2q + 8r = 40 and 8q - kr = 164 cannot be solved for what value of k?

10) 10 to the power -7

11) Write 5 to the -2 power as a fraction.

12) T/F: The line y = 5x + 4 passes through (9,49)

13) The __________ of a sphere is (4/3)pi(r^3).

14) (T/F): The square root of 45 is a rational number.

15) A temperature of -78 degrees Fahrenheit is equivalent to a temperature of how many degrees Celsius (rounded to

the nearest tenth)?

16) What lowest terms fraction represents the probability of throwing a 4 on 2 consecutive rolls of a standard die?

17) Dan has 2 more nickels than pennies, and 6 more dimes than nickels. If Dan has p pennies, what formula gives the

total value of Dan's coins in cents?

18) The cube of the sum of y and 5 equals the product of y and 5. Write this fact as an equation.

19) Points, K, L, M, and N are points in order along a line. What is the intersection of ray LN and ray MK?

20) A pie has an area of 4pi. If you slice the pie into 9 equal slices, what is the perimeter of one slice?

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Math Assessment Level 45 Version C

1) What is 2 to the power -2?

2) The sum of the angle measures in a polygon with 7 sides is how many degrees?

3) Write the equation of a line that is parallel to y = 5x + 10.

4) The __________ in an n-sided polygon total 180(n-2) degrees.

5) Let f(x) = x - 5, and let g(x) = (x² - 25)/(x + 5). How are these two functions different?

6) A temperature of 25 degrees Celsius is equivalent to a temperature of how many degrees Fahrenheit?

7) What is the slope of the line y = -1x - 4 ?

8) Rajiv has 3 more dimes than nickels, and 3 more quarters than dimes. If Rajiv has is x nickels, what formula gives

the total value of Rajiv's coins in cents?

9) The square of the sum of x and 8 equals the product of x and 8. Write this fact as an equation.

10) The function f(x) is linear. When x=1, f(x) = 16, and when x=6, f(x) = 71. Write the equation that defines f(x).

11) If f(x) = 10x, what is f(s + t)?

12) How many edges in a decagonal prism?

13) The __________ of a parallelogram make two congruent triangle pairs.

14) The ________ of an angle in a right triangle is the length of its adjacent side divided by the length of the

hypotenuse.

15) A __________ is a collection of points; the plural is loci.

16) Let f(x) = x + 4, and let g(x) = (x² - 16)/(x - 4). How are these two functions different?

17) How many milliliters equal one megaliter?

18) What is the slope of the line y = x/3 ?

19) A triangle with a base of 10 units has an area of 20 square units. What is the area of a second triangle that is

similar to the first one, but has a base of 70 units?

20) What is the value of -11s if s = -3t - 9 and t = 1?

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Math Assessment Level 45 Version C

1) (T/F): A line crosses a set of parallel lines. It is possible that some, but not all, of the angles formed are right

angles.

2) Point C is the center of regular hexagon STUVWX. What is the measure of angle UCW?

3) 6 x 6 + -7 x 9

4) What is the line from a triangle's vertex to the midpoint of the opposite side?

5) If 11x = 66, what is x?

6) __________ to the zero power is 1.

7) A number, p, has 8 subtracted from it to produce a second number. The fifth root of the second number is 0.2.

What is p?

8) How many acres are in one square mile?

9) What is the slope of the line y = x?

10) What is 1x^5y^5 divided by 1x^3y^3 ?

11) What is the value of -6t if t = 9y - 1 and y = 10?

12) There are 10 people randomly drawing for 10 offices. Two offices are extra large. What is the probability that Steve

and Teresa will get the extra large offices?

13) If x² + x = 56, what are the two possible values of x² - x?

14) 2 + 2 x -9

15) A ___________ is an angle measured clockwise from due North.

16) What is the solution set for x² < 81?

17) Two lines are parallel if and only if they have the same ________.

18) A number, v, has 12 added to it to produce a second number. The fifth root of the second number is 0.2. What is

v?

19) What unit of area is equivalent to a square, 100 m on a side?

20) A 1-centimeter diameter sphere has a mass of 8 grams. What would be the mass in grams of a 2-centimeter

diameter sphere of the same material?

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Math Assessment Level 45 Version C

1) Use the distributive property to simplify this expression as much as possible: 14x^7y^6 - 2x^4y^3

2) What is the value of -8p if p = 8u + 1 and u = 4?

3) A line going through (-7,-2) has a slope of 4. What is the Y intercept of the line?

4) What is the equation of the line whose X intercept is (-3,0) and whose Y intercept is (0,-7) ?

5) Two concentric circles in the same plane are of different sizes. What is the area between them called?

6) What trig function is the reciprocal of tangent?

7) What is 10x - 7 when x = 8?

8) An ________ is a point where a graph of a function touches or crosses an axis.

9) A number, q, has 17 subtracted from it to produce a second number. The cube root of the second number is 0.5.

What is q?

10) To the nearest liter, how many liters equal 8 gallons?

11) A 1-inch diameter sphere weighs 2.5 ounces. How many ounces would a 5-inch diameter sphere of the same

material weigh?

12) Teresa bought three DVDs. The average (mean) price was $21.50, and the first two were sold at two for $33.00.

How much did the third DVD cost?

13) What is the value of 7p if p = 9s and s = 1?

14) Children are dividing puzzles. If each gets 6, there will be 6 puzzles left over. However, 3 children do not

participate, so each participating child gets 7 puzzles, with 9 left. How many puzzles are there in all?

15) Andrew has 10 times as much money as Aaron, and Antoinette has 9 as much money as Andrew. The total

amount that they have is $868.60; how much does Aaron have?

16) What are the six squares that make up the outer surface of a cube called?

17) What trig function is defined as “opposite/adjacent?”

18) In any triangle, longer sides are opposite ________ angles.

19) If x = 3, y = 5 and z = 2, what is xyz?

20) A number, y, has 4 added to it to produce a second number. The cube root of the second number is 0.8. What is

y?

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Math Assessment Level 45 Version C

1) How many cubic inches are in a cubic yard?

2) A 1-centimeter diameter sphere has a mass of 13 grams. What would be the mass of a 2-centimeter diameter

sphere of the same material?

3) What is the slope of the line whose equation is 11x - y = 3?

4) What can x be, if x² - 100 = 0?

5) Let x be a negative integer. Let r = (x - 0.02)². Let s = (x² - 0.02). Let t = (x³ - 0.02). Write r, s, and t in order from

least to greatest.

6) Let D be a positive integer. When you divide D by 2, the remainder is 1. What is the remainder when 24D is

divided by 6?

7) Regular pentagon BCDEF is inscribed in a circle of radius r. What is the length of arc BD?

8) What ratio of right triangle sides defines the sine function?

9) If C is the center of a circle, A and B are on the circle and arc AB measures 99 degrees, what is the measure of

angle ACB?

10) To increase the mean of 6 numbers by 2, by how much would the total have to increase?

11) A number, s, has 13 subtracted from it to produce a second number. The fifth root of the second number is -0.3.

What is s?

12) What is the cube root of 125?

13) A 1-inch diameter sphere weighs 16 ounces. How many ounces would a 2-inch diameter sphere of the same

material weigh?

14) What is the slope of the line whose equation is 5x + y = 6?

15) What number is known as the additive identity element?

16) Let x be a negative integer. Let r = (x - 0.06)². Let s = (x² - 0.06). Let t = (x³ - 0.06). Write r, s, and t in order from

least to greatest.

17) If the median value of a list of 119 consecutive integers is -15, what is the largest item in the list?

18) Regular pentagon ABCDE is inscribed in a circle of radius r. What is the length of arc BC?

19) If cos(x) = 0.504, cos(-x)

20) If one leg of a right triangle is 8, and the hypotenuse is 10, how long is the other leg?

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Math Assessment Level 45 Version C

1) If √(x) = 6√(5), what is x?

2) A number, p, has 4 added to it to produce a second number. The fifth root of the second number is -0.4. What is

p?

3) In the time it takes Gail to move 11 meters, Gail's pet turtle can move 50 millimeters. Write the ratio of Gail's speed

to Gail's pet turtle's speed in lowest terms.

4) A 1-centimeter cube has a mass of 3.3 grams. What would be the mass in grams of a 4-centimeter cube of the

same material?

5) Points A, B, C, and D are in that order on a line. The distance from A to C is 35 inches, from B to C is 17 inches,

and from B to D is 35 inches. How long is it from A to D?

6) If g and h are real numbers such that the sum of g and 4 is h, what is the product of 4 and g in terms of h?

7) Taking pi as 3.14, what is the volume of a cylinder with a base diameter of 2 inches and a height of 4 inches?

Express your answer to the nearest cubic inch.

8) One angle of a triangle measures E degrees. The second measures 2E degrees, and the third measures F

degrees. If E and F are both integers, and E > 55 degrees, how many possible values are there for F?

9) Square ABCD is inscribed in a circle of radius r. What is the length of arc BC?

10) If sin(x) = -0.013, sin(-x)

11) What is i squared?

12) (8x^2 + 38x - 10) ÷ (x + 5)

13) A number, x, has 10 subtracted from it to produce a second number. The cube root of the second number is -1.

What is x?

14) In the time it takes Leisl to move 4 feet, Leisl's toy car can move 4 inches. Write the ratio of Leisl's toy car's speed

to Leisl's speed in lowest terms.

15) A 1-inch cube weighs 7 ounces. How many ounces would a 5-inch cube of the same material weigh?

16) Points A, B, C, and D are in that order on a line. The distance from A to C is 34 inches, from A to D is 56 inches,

and from B to D is 46 inches. How long is it from B to C?

17) If g and h are real numbers, not equal to 0, such that the product of g and 7 is h, what is the sum of 7 and g in terms

of h?

18) Taking pi as 3.14, what is the volume of a cylinder with a base radius of 2 cm and a height of 4 cm? Express your

answer to the nearest cubic cm.

19) Find the value of A + (B²)/92 when A=14 and B=23.

20) Equilateral triangle EFG is inscribed in a circle of radius r. What is the length of arc FG?

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Math Assessment Level 45 Version C

1) adjacent side / opposite side

2) The letter i is the symbol for the square root of what?

3) The cosine of an angle in a right triangle is the length of its ________ divided by the length of the hypotenuse.

4) A number, s, has 5 added to it to produce a second number. The cube root of the second number is -0.3. What is

s?

5) What is the base 10 equivalent of the base four number 1233?

6) A 1-centimeter cube has a mass of 3 grams. What would be the mass in grams of a 4-centimeter cube of the same

material?

7) In a group of girls, 22 enjoy singing, and the other 12 do not. If 19 girls in the group enjoy gardening, how many do

not enjoy gardening?

8) A whole number has exactly 5 prime factors; each prime factor is a different number. How many factors does the

whole number have?

9) The nth term in a certain sequence of numbers is defined to be 4n - 2 for all positive integer values of n. How much

larger is item 29 in the sequence than item 11?

10) Find the largest integer D such that 11D - 40 < 0.

11) A school has a lottery. Each of the 100 students with A averages gets 3 tickets, each of the 160 students with B

averages gets 2 tickets, and each of the remaining 100 students gets 1 ticket. What is the probability that the

winning ticket will belong to a student with neither an A nor a B average?12) What is the number of real roots for a quadratic with discriminant < 0?

13) If √(50) = k√(2), what is k?

14) Parallel lines are lines in the same ________ that never intersect (meet).

15) What is p+2t if p=5 and t=7?

16) What is the base 10 equivalent of the base four number 11?

17) A 1-inch cube weighs 10 ounces. How many ounces would a 2-inch cube of the same material weigh?

18) What lowest terms fraction represents the probability of throwing a 4, followed by a 1, followed by a 2, followed by a

5 on four consecutive rolls of a standard die?

19) If the whole number (3 × 11^n) is divisible by exactly 6 integers, what is n?

20) The nth term in a certain sequence of numbers is defined to be 7n + 6 for all positive integer values of n. How much

larger is item 45 in the sequence than item 31?

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Math Assessment Level 45 Version C

1) If you multiply X by 5/6, and then multiply again by 66, the result is 605. What is X?

2) A school has a lottery. Each of the 100 students with A averages gets 7 tickets, each of the 100 students with B

averages gets 4 tickets, and each of the remaining 80 students gets 1 ticket. What is the probability that the

winning ticket will belong to a B student?3) What is the formula for the discriminant of a quadratic equation?

4) ________ angles formed by crossing lines have equal measures.

5) If the sum of integers a and b is 9, what is the greatest possible value of ab?

6) Write the expression that means 30 more than the cube of the number that is 47 more than y.

7) What is the base 10 equivalent of the base three number 20?

8) A circle of radius 11 cm is inside a circle of radius 17 cm. What is the area between the two circles in square cm, if

pi=3.14?

9) What lowest terms fraction represents the probability of throwing a 5, followed by a 4, followed by a 4 on three

consecutive rolls of a standard die?

10) At what point does the line that contains (5,4) and has slope 1 pass through the Y axis?

11) (T/F): If A = {3, 6/9, 6, 3/6, 9}, and B = {2, 3/9, 6, 9, 4/6}, then the union of A and B includes nothing but integers.

12) (T/F): If x² > y², then |x| > y.

13) A school has a lottery. Each of the 100 students with A averages gets 5 tickets, each of the 200 students with B

averages gets 3 tickets, and each of the remaining 80 students gets 1 ticket. What is the probability that the

winning ticket will belong to an A student?14) What is the formula for “r” (polar radius) of point (x,y)

15) Write the quadratic formula for mx^2 - nx - p = 0

16) The cosine of an angle in a right triangle is the length of its adjacent side divided by the length of the ________.

17) Write the expression that means the square of the sum of b and w.

18) (T/F): The number 36.202202202202202. . . is rational.

19) What is the name for a line segment, line, or ray that splits a line segment or angle into two equal parts?

20) What lowest terms fraction represents the probability of throwing the same number on 4 consecutive rolls of a

standard die?

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Math Assessment Level 45 Version C

1) What are the coordinates of the point at which the line that contains (2,-2) and (4,-7) passes through the Y axis?

2) (T/F): If A = {4, 6/9, 6, 4/6, 9}, and B = {3, 4/9, 6, 9, 5/6}, then the intersection of A and B includes nothing but

integers.

3) Jack drives to Holly at 27 miles per hour and makes the return trip at 54 miles per hour. If the total driving time is 9

hours, what is the total distance driven?

4) Mageeton is entirely within Brighton. If the population of Mageeton is 55% of the population of the rest of Brighton,

what percentage of Brighton residents live in Mageeton?

5) What is the formula for “x” coordinate of polar coordinate point (r,theta)

6) xy + x + 10xyz - 10xy + 6xz + 10x =

7) The symbol for a triangle with vertices X, Y and Z is ________.

8) Write the expression that means one-half of the variable p.

9) (T/F): The square root of 16 is a rational number.

10) (T/F): In a plane, if lines A and B are perpendicular, and B is parallel to line C, then A is perpendicular to line C.

11) What lowest terms fraction represents the probability of throwing a 1 on 2 consecutive rolls of a standard die?

12) Clay has 4 more nickels than pennies, and 6 more dimes than nickels. If Clay has p pennies, what formula gives

the total value of Clay's coins in cents?

13) The cube of the sum of s and 4 equals the product of s and 4. Write this fact as an equation.

14) Points, T, U, V, and W are points in order along a line. What is the intersection of ray UW and ray VT?

15) The simultaneous equations 4q + 10r = 26 and 8q - kr = 55 cannot be solved for what value of k?

16) What is 1 to the power -1?

17) (2x + 6)(4x + 3) =

18) (6x² + 20x - 16) ÷ (x + 4)

19) The __________ in a quadrilateral total 360°.

20) Let f(x) = x - 3, and let g(x) = (x² - 9)/(x + 3). How are these two functions different?

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Math Assessment Level 45 Version C

1) A change in temperature of -80 Fahrenheit degrees is equivalent to a change of how many Celsius degrees

(rounded to the nearest tenth)?

2) What is the slope of the line y = x/2 + 17 ?

3) Manuel has 4 more dimes than nickels, and 4 more quarters than dimes. If Manuel has is x nickels, what formula

gives the total value of Manuel's coins in cents?

4) The square of the sum of v and 3 equals the product of v and 3. Write this fact as an equation.

5) The function f(x) is linear. When x=8, f(x) = 29, and when x=10, f(x) = 35. Write the equation that defines f(x).

6) A pizza has an area of 4pi. If you slice the pizza into 2 equal slices, what is the perimeter of one slice?

7) What is the surface area of rectangular prism with dimsnsions 10, 8 and 7?

8) Consecutive angles in any ________ always add up to 180°.

9) What is the base 4 logarithm of 4?

10) A __________ is the locus of points in a plane that are the same distance from a given point.

11) Let f(x) = x + 4, and let g(x) = (x² - 16)/(x - 4). How are these two functions different?

12) What prefix means 10 to the -12 power?

13) What is the slope of the line y = -3x ?

14) If 6x + 17 = 16, what is x?

15) (T/F): If all even integers are in set X, and m is an element of set X, then m is even.

16) (T/F): Lines A, B, and C, are in the same plane. If A crosses B and C, and all of the corresponding angles thus

formed are equal, then lines B and C are parallel.

17) If f(x) = 10x, what is f(q + r)?

18) Write 5.9x10^-2 as a whole number.

19) What is the point where a triangle's medians intersect?

20) Write 6 to the -2 power as a fraction.

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Math Assessment Level 45 Version C

1) __________ to the zero power is undefined.

2) A number, r, has 17 subtracted from it to produce a second number. The fifth root of the second number is 0.1.

What is r?

3) What unit of area equals 1/640 of a square mile?

4) What is the slope of the line y = -x?

5) A triangle with a base of 3 units has an area of 10.5 square units. What is the area of a second triangle that is

similar to the first one, but has a base of 24 units?

6) What is the value of -3t if t = 4w - 2 and w = 8?

7) There are 4 people randomly drawing for 4 offices. Two offices are extra large. What is the probability that Mitchell

and Jack will get the extra large offices?

8) If x² + x = 30, what are the two possible values of x² - x?

9) 7 x -3 + 3 x 2

10) A bearing is an angle measured clockwise from due ________.

11) In a triangle, two ______ are the same length if their opposite angles are equal.

12) The general equation of a circle is ________, where (a,b) is the center of the circle and r is the radius.

13) A number, p, has 21 added to it to produce a second number. The fifth root of the second number is 0.4. What is

p?

14) How many square meters are equivalent to one hectare?

15) A 1-centimeter diameter sphere has a mass of 3.6 grams. What would be the mass in grams of a 4-centimeter

diameter sphere of the same material?

16) What is 72x^5y^7 divided by 9x^3y^4 ?

17) What is the value of -7p if p = 2t + 5 and t = 6?

18) A line going through (-2,3) has a slope of 4. What is the Y intercept of the line?

19) What is the equation of the line whose X intercept is (-6,0) and whose Y intercept is (0,-7) ?

20) What adjective means "sharing the same center, as in two circles that share a center?

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Math Assessment Level 45 Version C

1) An angle above horizontal is called an angle of ______________.

2) The slope of a line is the amount it changes in y when it moves one unit to the ________ in x.

3) If two ________ lines are cut by a third line, the alternate interior angles are congruent.

4) A number, v, has 20 subtracted from it to produce a second number. The cube root of the second number is 0.2.

What is v?

5) To the nearest liter, how many liters equal 3 gallons?

6) A 1-inch diameter sphere weighs 8.2 ounces. How many ounces would a 3-inch diameter sphere of the same

material weigh?

7) Use the distributive property to simplify this expression as much as possible: 2x^6y^5 - 1x^4y^2

8) What is the value of 3t if t = 5x - 6 and x = 5?

9) Children are dividing trading cards. If each gets 9, there will be 8 trading cards left over. However, 4 children do

not participate, so each participating child gets 11 trading cards, with 0 left. How many trading cards are there in

all?10) Elaine has 5 times as much money as Claire, and Fred has 6 as much money as Elaine. The total amount that they

have is $241.20; how much does Claire have?

11) What is the name for a perpendicular line segment from the vertex of a triangle to the opposite side?

12) What trig function is the reciprocal of sine?

13) If C is the center of a circle, A and B are on the circle and angle ACB measures 9 degrees, what is the measure of

arc AB?

14) What is the solution set for x² > 64?

15) A number, u, has 7 added to it to produce a second number. The cube root of the second number is 0.7. What is

u?

16) How many cubic millimeters are in a cubic centimeter?

17) A 1-centimeter diameter sphere has a mass of 19 grams. What would be the mass of a 4-centimeter diameter

sphere of the same material?

18) What is the slope of the line whose equation is 5x - y = 6?

19) What can x be, if x² - 1 = 0?

20) Let x be a negative integer. Let p = (x - 0.57)². Let q = (x² - 0.57). Let r = (x³ - 0.57). Write p, q, and r in order from

least to greatest.

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Math Assessment Level 45 Version C

1) If card tables cost 24 dollars each, and vases cost 27 dollars each, what is the cost of X card tables and Y vases?

2) Regular pentagon FGHIJ is inscribed in a circle of radius r. What is the length of arc FH?

3) What trig function is defined as “opposite/hypotenuse?”

4) The ________ of an angle in a right triangle is the length of its opposite side divided by the length of the

hypotenuse.

5) Two lines ________ at (x,y) if x and y satisfy the equations of both lines.

6) A number, s, has 22 subtracted from it to produce a second number. The fifth root of the second number is -0.1.

What is s?

7) How many cubic feet are in a cubic yard?

8) A 1-inch diameter sphere weighs 15 ounces. How many ounces would a 5-inch diameter sphere of the same

material weigh?

9) What is the slope of the line whose equation is 7x + y = 8?

10) What number is known as the multiplicative identity element?

11) Let x be a negative integer. Let r = (x - 0.89)². Let s = (x² - 0.89). Let t = (x³ - 0.89). Write r, s, and t in order from

least to greatest.

12) Let C be a positive integer. When you divide C by 4, the remainder is 2. What is the remainder when 14C is

divided by 8?

13) Regular pentagon DEFGH is inscribed in a circle of radius r. What is the length of arc EF?

14) What ratio of right triangle sides defines the sine function?

15) In any ________, longer sides are opposite larger angles.

16) An intercept is a point where a graph of a function touches or crosses an ________.

17) A number, x, has 16 added to it to produce a second number. The fifth root of the second number is -0.2. What is

x?

18) What is 4 to the zero power?

19) A 1-centimeter cube has a mass of 10 grams. What would be the mass in grams of a 2-centimeter cube of the

same material?

20) Points A, B, C, and D are in that order on a line. The distance from A to C is 41 inches, from B to C is 14 inches,

and from B to D is 37 inches. How long is it from A to D?

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Math Assessment Level 45 Version C

1) If e and f are real numbers such that the sum of e and 4 is f, what is the product of 4 and e in terms of f?

2) Taking pi as 3.14, what is the volume of a cylinder with a base diameter of 6 cm and a height of 2 cm? Express

your answer to the nearest cubic cm.

3) If the median value of a list of 105 consecutive integers is 46, what is the largest item in the list?

4) Square CDEF is inscribed in a circle of radius r. What is the length of arc DE?

5) If sin(x) = -0.185, sin(-x)

6) The symbol @ means “is ________ to.”

7) A line is ________ to a circle if it touches the circle at exactly one point.

8) A number, x, has 5 subtracted from it to produce a second number. The cube root of the second number is -0.8.

What is x?

9) In the time it takes Tina to move 5 meters, Tina's pet turtle can move 9 centimeters. Write the ratio of Tina's speed

to Tina's pet turtle's speed in lowest terms.

10) A 1-inch cube weighs 3.5 ounces. How many ounces would a 4-inch cube of the same material weigh?

11) Points A, B, C, and D are in that order on a line. The distance from A to C is 23 inches, from A to D is 49 inches,

and from B to D is 38 inches. How long is it from B to C?

12) If b and c are real numbers, not equal to 0, such that the product of b and 6 is c, what is the sum of 6 and b in terms

of c?

13) Taking pi as 3.14, what is the volume of a cylinder with a base radius of 5 mm and a height of 2 mm? Express your

answer to the nearest cubic mm.

14) One angle of a triangle measures F degrees. The second measures 5F degrees, and the third measures G

degrees. If F and G are both integers, and F > 26 degrees, how many possible values are there for G?

15) Equilateral triangle DEF is inscribed in a circle of radius r. What is the length of arc EF?

16) hypotenuse / opposite side

17) What is the area of a circle with radius 3?

18) What is 8^5 x 8^6?

19) A number, s, has 11 added to it to produce a second number. The cube root of the second number is -0.2. What is

s?

20) In the time it takes Brock to move 5 feet, Brock's baby sister can move 4 inches. Write the ratio of Brock's speed to

Brock's baby sister's speed in lowest terms.

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Math Assessment Level 45 Version C

1) A 1-centimeter cube has a mass of 7 grams. What would be the mass in grams of a 2-centimeter cube of the same

material?

2) In a group of boys, 15 enjoy cooking, and 6 enjoy math. If 7 boys neither enjoy cooking nor enjoy math, what is the

smallest possible number of boys in the group?

3) A whole number has exactly 5 prime factors; each prime factor is a different number. How many factors does the

whole number have?

4) The nth term in a certain sequence of numbers is defined to be 3n - 5 for all positive integer values of n. How much

larger is item 71 in the sequence than item 59?

5) Find the value of F + (G²)/12 when F=14 and G=6.

6) A school has a lottery. Each of the 80 students with A averages gets 3 tickets, each of the 160 students with B

averages gets 2 tickets, and each of the remaining 60 students gets 1 ticket. What is the probability that the

winning ticket will belong to a student with neither an A nor a B average?7) How many real roots does 2x² + 4x + 4 have?

8) The collection of points in a plane that are the same distance from a given point forms a ________.

9) The sine of an angle in a right triangle is the length of its ________ side divided by the length of the hypotenuse.

10) A movie company uses a machine that costs 1200 dollars to produce DVDs. Blank DVDs cost $76 per box of 100.

How many dollars does it cost for the equipment and blanks to produce q DVDs, if q is a multiple of 100?

11) What is the base 10 equivalent of the base four number 31?

12) A 1-inch cube weighs 14 ounces. How many ounces would a 4-inch cube of the same material weigh?

13) What lowest terms fraction represents the probability of throwing a 5, followed by a 4, followed by a 2, followed by a

4 on four consecutive rolls of a standard die?

14) If the whole number (3 × 13^n) is divisible by exactly 10 integers, what is n?

15) The nth term in a certain sequence of numbers is defined to be 9n + 7 for all positive integer values of n. How much

larger is item 61 in the sequence than item 46?

16) Find the largest integer G such that 2G - 1 < 0.

17) A school has a lottery. Each of the 160 students with A averages gets 7 tickets, each of the 200 students with B

averages gets 4 tickets, and each of the remaining 120 students gets 1 ticket. What is the probability that the

winning ticket will belong to a B student?18) What is the number of real roots for a quadratic with discriminant > 0?

19) Lines with ________ slope are horizontal

20) T/F: 14.776 is an integer.

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Math Assessment Level 45 Version C

1) What is q+9t if q=4 and t=8?

2) What is the base 10 equivalent of the base three number 200?

3) A circle of radius 9 cm is inside a circle of radius 15 cm. What is the area between the two circles in square cm, if

pi=3.14?

4) What lowest terms fraction represents the probability of throwing a 6, followed by a 3, followed by a 1 on three

consecutive rolls of a standard die?

5) At what point does the line that contains (-6,1) and has slope -8 pass through the Y axis?

6) (T/F): If A = {4, 9/10, 9, 4/9, 10}, and B = {3, 4/10, 9, 10, 5/9}, then the union of A and B includes nothing but

integers.

7) If you multiply X by 1/2, and then multiply again by 6, the result is 42. What is X?

8) A school has a lottery. Each of the 180 students with A averages gets 3 tickets, each of the 140 students with B

averages gets 2 tickets, and each of the remaining 20 students gets 1 ticket. What is the probability that the

winning ticket will belong to an A student?9) What is described by the polar equation r = k ?

10) If a line in the xy plane includes points (3,5) and (7,8), what is y when x=5?

11) In a triangle, two sides are the same length if their opposite _______ are equal.

12) Write the expression that means the square of the sum of p and 62.

13) How many composite numbers are greater than 0 and less than 10?

14) (T/F): Vertical angles always have the same measure.

15) There are 25 markers in a hat. Exactly 25 of them are yellow. Express the probability of drawing a yellow marker in

a single draw as a percentage.

16) What are the coordinates of the point at which the line that contains (-4,-4) and (1,-9) passes through the Y axis?

17) (T/F): If A = {3, 4/6, 4, 3/4, 6}, and B = {2, 3/6, 4, 6, 4/4}, then the intersection of A and B includes nothing but

integers.

18) (T/F): If x² > y², then x > y.

19) Sedtown is entirely within Holly. If the population of Sedtown is 185% of the population of the rest of Holly, what

percentage of Holly residents live in Sedtown?

20) What is the formula for “y” coordinate of polar coordinate point (r,theta)

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Math Assessment Level 45 Version C

Page 1 Page 2

1) 63 1) 128

2) 114 2) -5

3) $8.60 3) 0

4) faces 4) t, s, r

5) tangent 5) 44

6) larger 6) 2(pi)r/5

7) 30 7) 0.504

8) -3.488 8) 6

9) 46656 9) 180

10) 104 10) -4.01024

11) 11 11) 220:1

12) -10 or 10 12) 211.2

13) t, s, r 13) 53 inches

14) 0 14) 4(h-4)

15) 4(pi)r/5 15) 13 cubic inches

16) opposite/adjacent 16) 4

17) 99° 17) (pi)r/2

18) 12 18) 0.013

19) 12.99757 19) -1

20) 1728 20) 8x - 2

Page 3 Page 4

1) 9 1) 5

2) 1:12 2) plane

3) 875 3) 19

4) 24 inches 4) 5

5) 7 + h/7 5) 80

6) 50 cubic cm 6) 1/1294

7) 19 3/4 7) 2

8) 2(pi)r/3 8) 98

9) cotangent 9) 11

10) -1 10) 20/59

11) adjacent side 11) b² - 4ac

12) -5.027 12) Opposite

13) 111 13) 20

14) 192 14) (y+47)³ + 30

15) 15 15) 6

16) 32 16) 527.52

17) 72 17) 1/216

18) 3 18) (0,-1)

19) 5/36 19) False

20) 0 20) True

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Math Assessment Level 45 Version C

Page 5 Page 6

1) 25/59 1) (s + 4)^3 = 4s

2) r = √(x² + y²) 2) Line segment UV

3) x = (n +/- sqrt(n^2 + 4mp))/2m 3) -20

4) hypotenuse 4) 1/1

5) (b+w)² 5) 8x^2 + 30x + 18

6) True 6) 6x - 4

7) bisector 7) angle measures

8) 1/216 8) The functions are identical, other than g(x) being undefined where x=-3.

9) (0,3) 9) -44.4

10) True 10) -1/2

11) 324 miles 11) 40x + 240

12) 35.48% 12) (v + 3)^2 = 3v

13) x = r cos(theta) 13) f(x) = 3x + 5

14) -9xy + 11x + 10xyz +6xz 14) 4 + 2pi

15) rXYZ 15) 412

16) p/2 16) parallelogram

17) True 17) 1

18) True 18) circle

19) 1/36 19) The functions are identical, other than g(x) being undefined where x=4.

20) 16p + 120 20) pico

Page 7 Page 8

1) -3 1) -20.98976

2) -1/6 2) 10000

3) False 3) 230.4

4) True 4) 8x^2y^3

5) 10(q + r) 5) -119

6) .059 6) (0,11)

7) centroid 7) Y = -7X/6 - 7

8) 1/36 8) concentric

9) Zero (0) 9) elevation

10) 17.00001 10) right

11) acre 11) parallel

12) -1 12) 20.008

13) 672 square units 13) 11

14) -90 14) 221.4

15) 1/6 15) 1x^4y^2(2x^2y^3 - 1)

16) 5 and -6 16) 57

17) -15 17) 242

18) North 18) $6.70

19) sides 19) altitude

20) (x-a)^2 + (y-b)^2 = r^2 20) cosecant

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Math Assessment Level 45 Version C

Page 9 Page 10

1) 9° 1) 2(pi)r/5

2) x < -8 or x > 8 2) opposite/hypotenuse

3) -6.657 3) triangle

4) 1000 4) axis

5) 1216 5) -16.00032

6) 5 6) 1

7) -1 or 1 7) 80

8) r, q, p 8) 64 inches

9) 24X + 27Y 9) 4(f-4)

10) 4(pi)r/5 10) 57 cubic cm

11) sine 11) 98

12) sine 12) (pi)r/2

13) intersect (meet) 13) 0.185

14) 21.99999 14) congruent

15) 27 15) tangent

16) 1875 16) 4.488

17) -7 17) 500:9

18) 1 18) 224

19) t, s, r 19) 12 inches

20) 4 20) 6 + c/6

Page 11 Page 12

1) 157 cubic mm 1) 1/1296

2) 3 2) 4

3) 2(pi)r/3 3) 135

4) cosecant 4) 0

5) 9pi 5) 20/51

6) 8^11 6) 2

7) -11.008 7) zero

8) 15:1 8) F

9) 56 9) 76

10) 22 10) 18

11) 32 11) 452.16

12) 36 12) 1/216

13) 17 13) (0,-47)

14) 3/31 14) False

15) 0 15) 14

16) circle 16) 9/14

17) opposite 17) a circle

18) 1200 + 0.76q 18) 6.5

19) 13 19) angles

20) 896 20) (p+62)²

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Math Assessment Level 45 Version C

Page 13 Page 14

1) 4 1) T

2) True 2) surface area

3) 100% 3) The functions are identical, other than g(x) being undefined where x=-6.

4) (0,-8) 4) 222.8

5) True 5) 1/36

6) False 6) 16p + 105

7) 64.91% 7) (t + 10)^2 = 10t

8) y = r sin(theta) 8) Line segment OP

9) hypotenuse 9) 4 + (4/5)pi

10) triangle 10) 224

11) dz 11) -0.75

12) True 12) -1 and 1

13) False 13) sphere

14) 1/6 14) The functions are identical, other than g(x) being undefined where x=6.

15) 35 square inches 15) milli

16) (r + 2)^3 = 2r 16) 1/1

17) 184 miles 17) 40x + 170

18) -32 18) True

19) 1/10,000 19) f(x) = 9x - 2

20) 1 20) 5(u + v)

Page 15 Page 16

1) 21 1) 1/28

2) medians 2) 15

3) diagonal 3) arc

4) domain 4) depression

5) 14.00243 5) opposite side

6) square mile 6) 4^4

7) 8 7) 13.125

8) 54 square units 8) hectare

9) 96 9) 637.5

10) True 10) 1x^4y^4(3x^2y^2 - 1)

11) 6 and -7 11) -517

12) -94 12) (0,-2)

13) 360° 13) Y = 1X/4 - 1

14) equal 14) a prime number

15) An integer 15) secant

16) -18.99999 16) clockwise

17) a square meter 17) (x-4)^2 + (y-8)^2 = 4

18) 800 18) -12.271

19) 8x^3y^3 19) 1000000

20) 0 20) 486

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Math Assessment Level 45 Version C

Page 17 Page 18

1) 5 1) 1000

2) -10 or 10 2) 684.8

3) 181 3) 66 inches

4) $4.75 4) Identity

5) 4(pi)r/5 5) s, r, q

6) cosine 6) 52

7) longer 7) (pi)r/2

8) 8x^14y^13 8) 0.34

9) 17.99757 9) x = (-b +/- sqrt(b^2 - 4ac))/2a

10) 1278 10) adjacent side

11) 351 11) 19.488

12) -5 12) 100:1

13) Identity 13) 56.7

14) r, q, p 14) 22 inches

15) 35 15) 9(b-9)

16) 2(pi)r/5 16) 57 cubic cm

17) adjacent/hypotenuse 17) 3

18) 4 18) 2(pi)r/3

19) 48x^10y^14 19) secant

20) -14.00032 20) -7

Page 19 Page 20

1) i 1) 1

2) -3.064 2) T

3) 5:6 3) same

4) 1152 4) 32

5) Commutative 5) 4

6) 8 + e/8 6) 953.775

7) 462 cubic feet 7) 1/1296

8) 7 1/3 8) 2

9) 8/47 9) 39

10) 2 10) 22

11) 180° 11) 7/16

12) tangent 12) a line

13) 825 + 0.46q 13) 17

14) 61 14) (13.5,15)

15) 459 15) (y+27)³ - 100

16) True 16) 6

17) 16 17) vertical angles

18) 72 18) 1/216

19) 5 19) (0,27)

20) 27/76 20) False

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Math Assessment Level 45 Version C

Page 21 Page 22

1) True 1) 16p + 90

2) 25.93% 2) (y + 5)^3 = 5y

3) theta = arctan(y/x) 3) Line segment LM

4) 3sqrt(3) 4) 4 + (4/9)pi

5) 4i 5) 1/4

6) dz 6) 900

7) False 7) y = 5x + (any constant but 10)

8) bisect 8) angle measures

9) 1/216 9) The functions are identical, other than g(x) being undefined where x=-5.

10) (0,6) 10) 77

11) True 11) -1

12) 192 miles 12) 40x + 180

13) -32 13) (x + 8)^2 = 8x

14) 1/10,000,000 14) f(x) = 11x + 5

15) 1/25 15) 10(s + t)

16) T 16) 30

17) volume 17) diagonals

18) False 18) cosine

19) -61.1 19) locus

20) 1/36 20) The functions are identical, other than g(x) being undefined where x=4.

Page 23 Page 24

1) 1000000000 1) slope

2) 1/3 2) -11.99968

3) 980 square units 3) hectare

4) 132 4) 64

5) False 5) 2x^4y^3(7x^3y^3 - 1)

6) 120 degrees 6) -264

7) -27 7) (0,26)

8) median 8) Y = -7X/3 - 7

9) 6 9) annulus

10) Any non-zero number 10) cotangent

11) 8.00032 11) 73

12) 640 12) intercept

13) 1 13) 17.125

14) 1x^2y^2 14) 30

15) -534 15) 312.5

16) 1/45 16) $31.50

17) 7 and -8 17) 63

18) -16 18) 114

19) bearing 19) $8.60

20) -9 < x < 9 20) faces

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Math Assessment Level 45 Version C

Page 25 Page 26

1) tangent 1) 44

2) larger 2) 2(pi)r/5

3) 30 3) 0.504

4) -3.488 4) 6

5) 46656 5) 180

6) 104 6) -4.01024

7) 11 7) 220:1

8) -10 or 10 8) 211.2

9) t, s, r 9) 53 inches

10) 0 10) 4(h-4)

11) 4(pi)r/5 11) 13 cubic inches

12) opposite/adjacent 12) 4

13) 99° 13) (pi)r/2

14) 12 14) 0.013

15) 12.99757 15) -1

16) 1728 16) 8x - 2

17) 128 17) 9

18) -5 18) 1:12

19) 0 19) 875

20) t, s, r 20) 24 inches

Page 27 Page 28

1) 7 + h/7 1) 80

2) 50 cubic cm 2) 1/1294

3) 19 3/4 3) 2

4) 2(pi)r/3 4) 98

5) cotangent 5) 11

6) -1 6) 20/59

7) adjacent side 7) b² - 4ac

8) -5.027 8) Opposite

9) 111 9) 20

10) 192 10) (y+47)³ + 30

11) 15 11) 6

12) 32 12) 527.52

13) 72 13) 1/216

14) 3 14) (0,-1)

15) 5/36 15) False

16) 0 16) True

17) 5 17) 25/59

18) plane 18) r = √(x² + y²)

19) 19 19) x = (n +/- sqrt(n^2 + 4mp))/2m

20) 5 20) hypotenuse

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Math Assessment Level 45 Version C

Page 29 Page 30

1) (b+w)² 1) 8x^2 + 30x + 18

2) True 2) 6x - 4

3) bisector 3) angle measures

4) 1/216 4) The functions are identical, other than g(x) being undefined where x=-3.

5) (0,3) 5) -44.4

6) True 6) -1/2

7) 324 miles 7) 40x + 240

8) 35.48% 8) (v + 3)^2 = 3v

9) x = r cos(theta) 9) f(x) = 3x + 5

10) -9xy + 11x + 10xyz +6xz 10) 4 + 2pi

11) rXYZ 11) 412

12) p/2 12) parallelogram

13) True 13) 1

14) True 14) circle

15) 1/36 15) The functions are identical, other than g(x) being undefined where x=4.

16) 16p + 120 16) pico

17) (s + 4)^3 = 4s 17) -3

18) Line segment UV 18) -1/6

19) -20 19) False

20) 1/1 20) True

Page 31 Page 32

1) 10(q + r) 1) -119

2) .059 2) (0,11)

3) centroid 3) Y = -7X/6 - 7

4) 1/36 4) concentric

5) Zero (0) 5) elevation

6) 17.00001 6) right

7) acre 7) parallel

8) -1 8) 20.008

9) 672 square units 9) 11

10) -90 10) 221.4

11) 1/6 11) 1x^4y^2(2x^2y^3 - 1)

12) 5 and -6 12) 57

13) -15 13) 242

14) North 14) $6.70

15) sides 15) altitude

16) (x-a)^2 + (y-b)^2 = r^2 16) cosecant

17) -20.98976 17) 9°

18) 10000 18) x < -8 or x > 8

19) 230.4 19) -6.657

20) 8x^2y^3 20) 1000

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Page 33 Page 34

1) 1216 1) -16.00032

2) 5 2) 1

3) -1 or 1 3) 80

4) r, q, p 4) 64 inches

5) 24X + 27Y 5) 4(f-4)

6) 4(pi)r/5 6) 57 cubic cm

7) sine 7) 98

8) sine 8) (pi)r/2

9) intersect (meet) 9) 0.185

10) 21.99999 10) congruent

11) 27 11) tangent

12) 1875 12) 4.488

13) -7 13) 500:9

14) 1 14) 224

15) t, s, r 15) 12 inches

16) 4 16) 6 + c/6

17) 2(pi)r/5 17) 157 cubic mm

18) opposite/hypotenuse 18) 3

19) triangle 19) 2(pi)r/3

20) axis 20) cosecant

Page 35 Page 36

1) 9pi 1) 20/51

2) 8^11 2) 2

3) -11.008 3) zero

4) 15:1 4) F

5) 56 5) 76

6) 22 6) 18

7) 32 7) 452.16

8) 36 8) 1/216

9) 17 9) (0,-47)

10) 3/31 10) False

11) 0 11) 14

12) circle 12) 9/14

13) opposite 13) a circle

14) 1200 + 0.76q 14) 6.5

15) 13 15) angles

16) 896 16) (p+62)²

17) 1/1296 17) 4

18) 4 18) True

19) 135 19) 100%

20) 0 20) (0,-8)

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Math Assessment Level 45 Version C

Page 37 Page 38

1) True 1) 1/36

2) False 2) 16p + 105

3) 64.91% 3) (t + 10)^2 = 10t

4) y = r sin(theta) 4) Line segment OP

5) hypotenuse 5) 4 + (4/5)pi

6) triangle 6) 224

7) dz 7) -0.75

8) True 8) -1 and 1

9) False 9) sphere

10) 1/6 10) The functions are identical, other than g(x) being undefined where x=6.

11) 35 square inches 11) milli

12) (r + 2)^3 = 2r 12) 1/1

13) 184 miles 13) 40x + 170

14) -32 14) True

15) 1/10,000 15) f(x) = 9x - 2

16) 1 16) 5(u + v)

17) T 17) 21

18) surface area 18) medians

19) The functions are identical, other than g(x) being undefined where x=-6.19) diagonal

20) 222.8 20) domain

Page 39 Page 40

1) 14.00243 1) opposite side

2) square mile 2) 4^4

3) 8 3) 13.125

4) 54 square units 4) hectare

5) 96 5) 637.5

6) True 6) 1x^4y^4(3x^2y^2 - 1)

7) 6 and -7 7) -517

8) -94 8) (0,-2)

9) 360° 9) Y = 1X/4 - 1

10) equal 10) a prime number

11) An integer 11) secant

12) -18.99999 12) clockwise

13) a square meter 13) (x-4)^2 + (y-8)^2 = 4

14) 800 14) -12.271

15) 8x^3y^3 15) 1000000

16) 0 16) 486

17) 1/28 17) 5

18) 15 18) -10 or 10

19) arc 19) 181

20) depression 20) $4.75

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Math Assessment Level 45 Version C

Page 41 Page 42

1) 4(pi)r/5 1) s, r, q

2) cosine 2) 52

3) longer 3) (pi)r/2

4) 8x^14y^13 4) 0.34

5) 17.99757 5) x = (-b +/- sqrt(b^2 - 4ac))/2a

6) 1278 6) adjacent side

7) 351 7) 19.488

8) -5 8) 100:1

9) Identity 9) 56.7

10) r, q, p 10) 22 inches

11) 35 11) 9(b-9)

12) 2(pi)r/5 12) 57 cubic cm

13) adjacent/hypotenuse 13) 3

14) 4 14) 2(pi)r/3

15) 48x^10y^14 15) secant

16) -14.00032 16) -7

17) 1000 17) i

18) 684.8 18) -3.064

19) 66 inches 19) 5:6

20) Identity 20) 1152

Page 43 Page 44

1) Commutative 1) 4

2) 8 + e/8 2) 953.775

3) 462 cubic feet 3) 1/1296

4) 7 1/3 4) 2

5) 8/47 5) 39

6) 2 6) 22

7) 180° 7) 7/16

8) tangent 8) a line

9) 825 + 0.46q 9) 17

10) 61 10) (13.5,15)

11) 459 11) (y+27)³ - 100

12) True 12) 6

13) 16 13) vertical angles

14) 72 14) 1/216

15) 5 15) (0,27)

16) 27/76 16) False

17) 1 17) True

18) T 18) 25.93%

19) same 19) theta = arctan(y/x)

20) 32 20) 3sqrt(3)

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Math Assessment Level 45 Version C

Page 45 Page 46

1) 4i 1) 1/4

2) dz 2) 900

3) False 3) y = 5x + (any constant but 10)

4) bisect 4) angle measures

5) 1/216 5) The functions are identical, other than g(x) being undefined where x=-5.

6) (0,6) 6) 77

7) True 7) -1

8) 192 miles 8) 40x + 180

9) -32 9) (x + 8)^2 = 8x

10) 1/10,000,000 10) f(x) = 11x + 5

11) 1/25 11) 10(s + t)

12) T 12) 30

13) volume 13) diagonals

14) False 14) cosine

15) -61.1 15) locus

16) 1/36 16) The functions are identical, other than g(x) being undefined where x=4.

17) 16p + 90 17) 1000000000

18) (y + 5)^3 = 5y 18) 1/3

19) Line segment LM 19) 980 square units

20) 4 + (4/9)pi 20) 132

Page 47 Page 48

1) False 1) 2x^4y^3(7x^3y^3 - 1)

2) 120 degrees 2) -264

3) -27 3) (0,26)

4) median 4) Y = -7X/3 - 7

5) 6 5) annulus

6) Any non-zero number 6) cotangent

7) 8.00032 7) 73

8) 640 8) intercept

9) 1 9) 17.125

10) 1x^2y^2 10) 30

11) -534 11) 312.5

12) 1/45 12) $31.50

13) 7 and -8 13) 63

14) -16 14) 114

15) bearing 15) $8.60

16) -9 < x < 9 16) faces

17) slope 17) tangent

18) -11.99968 18) larger

19) hectare 19) 30

20) 64 20) -3.488

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Math Assessment Level 45 Version C

Page 49 Page 50

1) 46656 1) 180

2) 104 2) -4.01024

3) 11 3) 220:1

4) -10 or 10 4) 211.2

5) t, s, r 5) 53 inches

6) 0 6) 4(h-4)

7) 4(pi)r/5 7) 13 cubic inches

8) opposite/adjacent 8) 4

9) 99° 9) (pi)r/2

10) 12 10) 0.013

11) 12.99757 11) -1

12) 1728 12) 8x - 2

13) 128 13) 9

14) -5 14) 1:12

15) 0 15) 875

16) t, s, r 16) 24 inches

17) 44 17) 7 + h/7

18) 2(pi)r/5 18) 50 cubic cm

19) 0.504 19) 19 3/4

20) 6 20) 2(pi)r/3

Page 51 Page 52

1) cotangent 1) 11

2) -1 2) 20/59

3) adjacent side 3) b² - 4ac

4) -5.027 4) Opposite

5) 111 5) 20

6) 192 6) (y+47)³ + 30

7) 15 7) 6

8) 32 8) 527.52

9) 72 9) 1/216

10) 3 10) (0,-1)

11) 5/36 11) False

12) 0 12) True

13) 5 13) 25/59

14) plane 14) r = √(x² + y²)

15) 19 15) x = (n +/- sqrt(n^2 + 4mp))/2m

16) 5 16) hypotenuse

17) 80 17) (b+w)²

18) 1/1294 18) True

19) 2 19) bisector

20) 98 20) 1/216

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Math Assessment Level 45 Version C

Page 53 Page 54

1) (0,3) 1) -44.4

2) True 2) -1/2

3) 324 miles 3) 40x + 240

4) 35.48% 4) (v + 3)^2 = 3v

5) x = r cos(theta) 5) f(x) = 3x + 5

6) -9xy + 11x + 10xyz +6xz 6) 4 + 2pi

7) rXYZ 7) 412

8) p/2 8) parallelogram

9) True 9) 1

10) True 10) circle

11) 1/36 11) The functions are identical, other than g(x) being undefined where x=4.

12) 16p + 120 12) pico

13) (s + 4)^3 = 4s 13) -3

14) Line segment UV 14) -1/6

15) -20 15) False

16) 1/1 16) True

17) 8x^2 + 30x + 18 17) 10(q + r)

18) 6x - 4 18) .059

19) angle measures 19) centroid

20) The functions are identical, other than g(x) being undefined where x=-3.20) 1/36

Page 55 Page 56

1) Zero (0) 1) elevation

2) 17.00001 2) right

3) acre 3) parallel

4) -1 4) 20.008

5) 672 square units 5) 11

6) -90 6) 221.4

7) 1/6 7) 1x^4y^2(2x^2y^3 - 1)

8) 5 and -6 8) 57

9) -15 9) 242

10) North 10) $6.70

11) sides 11) altitude

12) (x-a)^2 + (y-b)^2 = r^2 12) cosecant

13) -20.98976 13) 9°

14) 10000 14) x < -8 or x > 8

15) 230.4 15) -6.657

16) 8x^2y^3 16) 1000

17) -119 17) 1216

18) (0,11) 18) 5

19) Y = -7X/6 - 7 19) -1 or 1

20) concentric 20) r, q, p

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Math Assessment Level 45 Version C

Page 57 Page 58

1) 24X + 27Y 1) 4(f-4)

2) 4(pi)r/5 2) 57 cubic cm

3) sine 3) 98

4) sine 4) (pi)r/2

5) intersect (meet) 5) 0.185

6) 21.99999 6) congruent

7) 27 7) tangent

8) 1875 8) 4.488

9) -7 9) 500:9

10) 1 10) 224

11) t, s, r 11) 12 inches

12) 4 12) 6 + c/6

13) 2(pi)r/5 13) 157 cubic mm

14) opposite/hypotenuse 14) 3

15) triangle 15) 2(pi)r/3

16) axis 16) cosecant

17) -16.00032 17) 9pi

18) 1 18) 8^11

19) 80 19) -11.008

20) 64 inches 20) 15:1

Page 59 Page 60

1) 56 1) 76

2) 22 2) 18

3) 32 3) 452.16

4) 36 4) 1/216

5) 17 5) (0,-47)

6) 3/31 6) False

7) 0 7) 14

8) circle 8) 9/14

9) opposite 9) a circle

10) 1200 + 0.76q 10) 6.5

11) 13 11) angles

12) 896 12) (p+62)²

13) 1/1296 13) 4

14) 4 14) True

15) 135 15) 100%

16) 0 16) (0,-8)

17) 20/51 17) True

18) 2 18) False

19) zero 19) 64.91%

20) F 20) y = r sin(theta)

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