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1 ALPHA PLACEMENT PRE/POST TEST Alpha Placement Pre/Post Test Solve. 1. 10 3 2. 7 3 + 3. 8 4 4. 4 7 + 5. 9 6 6. 9 9 + 7. 12 7 8. 8 7 + 7 10 4 11 3 18 4 11 5 15 Answer Key

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Page 1: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

1ALPHA PLACEMENT PRE/POST TEST

Alpha Placement Pre/Post Test

Solve.

1. 1 0

3

2. 7

3+

3. 8

4−

4. 4

7+

5. 9

6−

6. 9

9+

7. 1 2

7

8. 8

7+

7 10

4 11

3 18

4 11

5 15

Answer Key

Page 2: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

ALPHA PLACEMENT PRE/POST TEST2

9. 1 5

9

10. 1 2

4

11. 5

3+

12. 1 3

6

13. 1 0

5

14. 7

6+

15. 3

6+

16. 1 1

8

6 8

8 7

5 13

9 3

Page 3: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

ALPHA PLACEMENT PRE/POST TEST 3

17. 8

5+

18. 4

9+

19. 1 7

9

20. 1 4

5

21. 3

8+

22. 1 3

9

23. 5

7+

24. 1 6

7

13 13

8 9

11 4

12 9

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4 ALPHA PLACEMENT PRE/POST TEST

25. 9

3+

26. 1 1

6

27. 1 5

8

28. 7

4+

29. 5

6+

30. 8

7+

12 5

7 11

11 15

Page 5: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

1BETA PLACEMENT PRE/POST TEST

Compare, and then fill in the oval with <, >, or =.

1. 7 + 7 15 – 8 2. 105 125

Round to the nearest tens place.

3. 43 → ______

4. 68 → ______

Round to the nearest hundreds place.

5. 204 → ______

6. 561 → ______

Round to the nearest thousands place.

7. 1,935 → ______

8. 4,187 → ______

Skip count and write the numbers.

9. _____, _____, 6, _____, _____, _____, _____, _____, _____, 20

10. _____, _____, _____, _____, 25, _____, _____, _____, _____, _____

11. _____, 20, _____, _____, _____, _____, _____, 80, _____, _____

Beta Placement Pre/Post Test

> <

40

70

200

2,000

Answer Key

600

30 35 40 4515 205 10

30 40 50 60 90 1007010

50

10 12 14 1682 4 18

4,000

Page 6: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

2 BETA PLACEMENT PRE/POST TEST

Add.

12 13.

14. 15.

16. 17.

Subtract.

18. 19.

20. 4 0 32 1 5−

21. 7 1 03 4 6−

2 44 6+

1 9 23 5 9+

9 0 71 6 8+ +

$8.9 2 2.4 9

6 4 7 47 6 1 03 6 8 5+

9 6 81 4 52 0 3

7 5+

2 31 7−

1 1 59 8−

7 0

1,0 7 5

1 7 7 6 91 3 9 1

$1 1.4 1

5 5 1

1 7

3 6 4

6

1 8 8

Page 7: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

3BETA PLACEMENT PRE/POST TEST

22. 5 8 3 41 0 5 7−

23. 8 1 3 2 74 5 1 8 9−

Write the number and say it.

24. two hundred seventy-six thousand, five hundred ninety-one =

_________________________

Give the time with hours and minutes.

25. 1

2

3

4

56

7

8

9

10

1112

4 7 7 7 3 6 1 3 8

7:23

276,591

Page 8: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

4 BETA PLACEMENT PRE/POST TEST

Read the gauge.

26.

27. Greg is four feet tall. How many inches tall is Greg?

_________________________

28. Wendy is making a square pillow that measures 14 inches on a side. How many inches of fringe will she need to go around the edges of the pillow?

_________________________

29 A rectangle has two sides that are six feet long and two sides that are eleven feet long. What is its perimeter?

_________________________

30. A triangle has sides of nine inches, eight inches, and six inches. What is the perimeter?

_________________________

200º

____º

400º

600º

48 inches

56 inches

34 feet

23 inches

100

Page 9: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

1GAMMA PLACEMENT PRE/POST TEST

Multiply.

1. 8 52 6×

2. 4 2 17 3×

3. 5 0 96 3 6×

4. 7, 5 4 6

5. 3, 4 8 2

5 9× 6. 6, 1 8 7

4 6 7×

Find the area and perimeter.

7. area = ______

8. perimeter = ______

72 ft

72 ft

31 ft31 ft

Gamma Placement Pre/Post Test

5 1 0+ 1 7 0

2,2 1 0

Answer Key

1 2 6 3+ 2 9 4 7

3 0 7 3 3

6 0,3 6 83 0 5 41 5 2 7

+ 3 0 5 4 3 2 3, 7 2 4

3 1 3 3 8+ 1 7 4 1 0

2 0 5, 4 3 8

4 3 3 1 93 7 1 2 2

+ 2 4 7 4 8 2,8 8 9, 3 2 9

2,232 square feet

206 feet

Page 10: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

2 GAMMA PLACEMENT PRE/POST TEST

Solve for the unknown.

9. 8B = 64 10. 9Q = 63

11. 10X = 100

Find all the possible pairs of factors, and tell whether the number is prime or composite.

12. 16 _____ × _____

_____ × _____

_____ × _____

_____________

13. 7 _____ × _____

_____________

14. 9 _____ × _____

_____ × _____

_____________

Write <, >, or = in the oval.

15. 6 × 2 3 × 4 16. 9 × 8 5 × 12

17. 7 × 6 9 × 5

B = 8

X = 10

Q = 7

prime

1 7

composite

4 4

composite

3 3

1 9

2 8

1 16

<

= >

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3GAMMA PLACEMENT PRE/POST TEST

Add.

18. 9 22 14 81 7+

19. 1 6 35 4+

20. 8 1 54 8 2+

21. 3 6 03 7−

22. 5 2 91 6 8−

23. 4 0 22 9 3−

Fill in the blanks.

24. 6 qt = ______ pt 25. 8 dimes = ______ cents

26. 9 yd = ______ ft 27. 5 Tbsp = ______ tsp

28. 10 nickels = ______ cents 29. 7 gal = ______ qt

1 7 8

2 1 7

1,2 9 7

2850

12 80

27 15

1 0 93 6 1

3 2 3

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4 GAMMA PLACEMENT PRE/POST TEST

30. $2 = ______ quarters 31. 4 gal = ______ pt

32. 3 lb = ______ oz 33. 6 quarters = ______ cents

34. 2 miles = ______ feet 35. 1 ton = ______ lb

36. A room measures 21 feet by 38 feet. Round the dimensions to the nearest ten and estimate the area of the room.

________

37. Chuck drove 452 miles a day for three days. Round to the nearest hundred and estimate how far he drove in all.

________

38. What is 3,495 rounded to the nearest thousand? _________

39. Write in standard decimal notation: one million, two hundred seventy-one thousand, twenty-eight.

________________________________

40. Write in place-value notation: 5,681,900

___________________________________________________________

___________________________________________________________

5,000,000 + 600,000 + 80,000 + 1,000 + 900

1,271,028

3,000

1,500 mi

800 sq ft

2,00010,560

15048

328

Page 13: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

Divide. Write your remainders if the number does not divide evenly.

1. 4 80 2. 7 53

3. 8 648 4. 5 396

Divide. Include a fraction in your answer if the number does not divide evenly. Check your answers.

5. 25 631 6. check for #5

7. 16 349 8. check for #7

9. 6 3 0 4 5 8 10. check for #9

Delta Placement Pre/Post Test

1DELTA PLACEMENT PRE/POST TEST

Answer Key

Page 14: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

11. 84 5 7 6 4 7 12. check for #11

Find the area of each figure.

5 ft

3 ft

7 ft

4 ft

9 ft

13. A = ______ 14. A = ______

10 in

25 in

15 ft

33 ft

15. A = ______ 16. A = ______

Find the volume of the rectangular solid.

12 ft

29 ft45 ft

17. V = ______

2 DELTA PLACEMENT PRE/POST TEST

18 sq ft

495 sq ft

25 sq ft

250 sq in

15,660 cu ft

6 8 6× 8 4

2 7 4 45 4 8 8 57, 6 2 4

+ 2 357, 6 4 7

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Fill in the blanks.

18. 27 ft = ____________ yd 19. 40 pt = ____________ qt

20. 20 qt = ____________ gal 21. 5 dollars = ______ quarters

22. 4 lb = ____________ oz 23. 1 mi = ____________ ft

24. 5 tons = ____________ lb 25. 36 in = ____________ ft

26. 40 ft = ____________ in

27. 49 to the nearest ten is ______ .

28. 4,009 to the nearest thousand is ______ .

29. 459 to the nearest hundred is ______ .

3DELTA PLACEMENT PRE/POST TEST

9

5

64

480

3

5,280

20

50

4,000

500

20

10,000

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Solve.

30. 13

of 12 = 31. 37

of 21 =

32. 58

of 32 =

Find the denominators and numerators of fractions represented by the rectangles.

33. numeratordeno atormin

=

34. numeratordeno atormin

=

35. Write in standard notation:

2 × 1,000,000,000 + 5 × 100,000,000 + 4 × 10,000,000 + 3 × 1,000,000 + 9 × 100,000

__________________________________________________________________

36. Find the average of the numbers: 5, 12, 13, 21, 24 ______

37. What number is represented by the Roman numeral MMCLVIII? ______

38. Write the given date with Roman numerals: 1975 ______

4 DELTA PLACEMENT PRE/POST TEST

4

20

9

2

3

3

5

15

2,158

MCMLXXV

2,543,900,000

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1EPSILON PLACEMENT PRE/POST TEST

Solve.

1. 12

of 24 = _____ 2. 23

of 18 = _____

3. 78

of 64 = _____

Fill in the missing numbers in the numerators or denominators to make equivalent fractions.

4. 34

= _____ = _____ = 16

5. 910

= _____ = _____ = 36

Compare the fractions and write the correct symbol in the oval.

6. 57

35

7. 48

36

8. 48

23

Epsilon Placement Pre/Post Test

Answer Key

12

68

912

1820

2730 40

<

> =

12

56

12

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2 EPSILON PLACEMENT PRE/POST TEST

Solve.

9. 39

+ 59

= 10. 12

+ 14

+ 78

=

11. 45

– 13

= 12. 13

÷ 15

=

13. 3 13

÷ 518

= 14. 3 45

÷ 2 725

=

Solve.

15. 7 14

5 34

16. 923

6 59

+

17. 5 15

2 56

Page 19: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

3EPSILON PLACEMENT PRE/POST TEST

Write the length of the line.

18. in

0" 1" 2" 3" 4" 5"

Solve for the unknown and check your work.

19. 7X + 9 = 44 20. Check for #19

21. 38

A – 8 = 13 22. Check for #21

23. 56

G + 16

= 512

24. Check for #23

Solve.

25. 58

× 13

× 35

= ________ 26. 45

× 2 34

× 3 13

= ________

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4 EPSILON PLACEMENT PRE/POST TEST

Write each fraction in hundredths. Then write it as a decimal and as a percent.

27. 45

= 100

= ______ = ______% 28. 14

= 100

= ______ = ______%

29. What is the GCF of 15 and 45?

30. What are the prime factors of 56?

31. Change 72⁄3 to an improper fraction.

32. Is 498 divisible by 9?

33. What is the approximate area of a circle with a radius of 21 feet?

34. What is the approximate circumference of a circle with a radius of 21 feet?

80 800.80 25 250.25

no

2 × 2 × 2 × 7

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1ZETA PLACEMENT PRE/POST TEST

Rewrite each number without an exponent.

1. 16 = ________ 2. 82 = ________

3. 103 = ________

Write in decimal notation.

4. 5 × 103 + 2 × 102 + 7 × 101 + 1 × 100 + 3 × 1

101 + 4 × 1

102 + 9 × 1

103 =

________________

Add or subtract the decimal numbers.

5. 7.5 21.8 5−

6. 6.0 5.2 8+

7. 3 2.0 4 1 .5 9 6−

Multiply the decimal numbers.

8. 2.4 9 0.6×

9. 1.7 3 ×

10. 0.0 0 4 0.0 5×

Convert using whatever method you prefer.

11. 13 km = ___________ cm 12. ___________ g = 250 mg

Zeta Placement Pre/Post Test

Answer Key

1 64

1,000

5,271.349

0.251,300,000

0.0 0 0 2 0

1 1.2 8

5.1

3 1.4 4 5

5.6 7

1.4 9 4

Page 22: Answer Keys for School Placement Pre/Post Tests (Alpha to ... · PDF fileZeta Placement Pre/Post Test Answer Key 1 64 1,000 5,271.349 1,300,000 0.25 0.0 0 0 2 0 1 1.2 8 5.1 3 1.4 4

2 ZETA PLACEMENT PRE/POST TEST

Write each percentage as a decimal.

13. 5% = ___________ 14. 65% = ___________

Write each percentage as a reduced fraction.

15. 25% = ______ = ______ 16. 32% = ______ = ______

Change each fraction to a decimal and then to a percentage. Include a fraction in one hundredths place if needed and do not round.

17. 810

= ______ = ______% 18. 56

= ______ = ______%

Write the mixed number as a percentage and as a decimal.

19. 4 35

= 100

+ 100

= 100

= ______ = ______

Change each decimal to a reduced fraction.

20. 0.78 = ______ = ______ 21. 0.03 = ______ = ______

Divide to the thousandths place and round to the nearest hundredth.

22. 4 1 3.3 23. 7 4.5 8

Divide until you see a pattern and write the answer with a line over the repeat.

24. 0.6 3 9.4 25. 0.0 3 0.0 2 2

3100

78100

3950

460 4.6060 460%400

0.8 80

25100

14

32100

825

0.650.05

0.8313

13

83

0

0

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3ZETA PLACEMENT PRE/POST TEST

Divide to the hundredths place. Include a fraction in your answer if there is still a remainder.

26. 11 9. 27. 9 5

Solve for the unknown. Check your answer by using it in the original problem.

28. 3.2X + 0.07 = 4.55 29. Check for #28

Fill in the blanks.

30. A ______________ has infinite length and width and is said to be two-dimensional.

31. A _______________ has two endpoints.

32. A _______________ has no length or width.

33. A line has _______________ but no _______________ .

34. A _______________ has one endpoint.

35. An angle with a measure less than 180º but greater than 90º is a(n) _______________ angle.

36. An angle with a measure less than 90º but greater than 0º is a(n) _______________ angle.

37. Two figures that are the same shape but different sizes are said to be ________.

38. There are _______________ degrees in a circle.

39. The measure of a right angle is _______________.

40. An angle with a measure of 180º is a(n) _______________ angle.

41. Two shapes that are exactly the same are said to be ______________.congruent

straight

90º

360

similar

acute

obtuse

ray

length width

point

line segment

plane

00

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4 ZETA PLACEMENT PRE/POST TEST

42. Find the approximate area and circumference of a circle that has a radius of three feet.

43. Judith received the following amounts of money for doing chores:$5, $7, $3.50, $5, and $8. Give the mean, median, and mode for her earnings.

44. Melanie ordered books from a catalog. The prices of the books added up to $45.60. She had to pay a 6% tax and 8% for shipping. What was the total cost of her order?

45. Brandon entered a contest for free math materials. 758 people each put in one entry, and there will be only one winner. What is the probability of Brandon winning the contest?

$3.50 + $5 + $5 + $7 + $8 = $28.50mean = $28.50 ÷ 5 = $5.70, median = $5, mode = $5

$45.60 × 1.14 ≈ $51.98