JAMES MADISON MIDDLE SCHOOL

GRADE 6

MATHINTERVENTIONHOMEWORKPACKET

CCSS 6th Grade Math

Final Review #1

1. 21.05+0.2=

2. Write a statistical question to find out

students’ favorite flavor of gum.

3. If 3 drinks cost $9.00, how muchwill

5 drinks cost?

4. 4x+2=10

Whichvalueof x from the following

solution set makes this equation true?

{1, 2, 3, 4}

5. Find the volumeof the

rectangular prism.

4.5 cml]

2.5 cm 3 cm

Name

6. Plot the following points:

A (-2, 2) B (-4, -4) C (1, -4) D (3, 2)

Connect the points.

What is the name of the polygon?

How longis line segment AD?

What is the area of the shape?

7. Whatis the area of the white border?

9 cm

15 cm

8. 87.32x7.5=

OHall's Happenings

CCSS 6h Grade Math

Final Review #2

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Nie

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2. The points scored on a math quiz

Were:

19 25 21 22 20 26 26 17

Find the Mean

Median Mode

3. Write the unit rate for each of the

following:

Jamal earned $36for 4 hours of work.

We traveled 350 miles in 7 hours.

20 penscost $1.60

4. Evaluate the expression.

33+2x20-4*=

5. Find the

surface area of

the rectangular Sem

prism.

2cm 3 cm

Name

6. What would be the new coordinates

of point if it was reflected across the

y-axis?

7. The frequency table shows the students’

scores on a recent math test. What

percentage of the students scored at least 81

on the test?

41-50 1

51-60 2

61-70 8

71-80 12

81-90 20

91-100 7

8. Kenyonarrangedflowers in identical

bouquets. If he had 21 red flowers and 28

yellow flowers, what is the greatest

numberof bouquets he could make?

OHall's Happenings

CCSS 6* Grade Math

Final Review #3

1. 23.8 + 15.689 =

2. Write the following in order from least

to greatest:

71

100

40.7, 0.84, > 82%,

3. Samanthais riding a raft down a

stream that is moving at a rate of 65

feet per minute. How far downstream

doesshe travel in 5 minutes?

4. Evaluate the expressionsfor x = 6

3x+55

X3— 10 =

5. Find the area ofthe triangle.

15 ft

Name

6. What would be the other 2

coordinates of a square if one vertexis

located at (-3, -1) and a second vertexis

located at (3, -1)?

7. The Hall Family gardenis - of an acre. If

they divide their garden into A acre

sections, how many sections will they

have?

Frequency

8. How many families have at least 4 pets?

OHall's Happenings

CCSS 6th Grade Math

Final Review #4

1. 67.3x0.89 =

2. Write the ratio of circles to squaresin

simplest form.

3. Graph the inequality and then list 3

possible solutions.

xs-1

dé« Vv

Possible solutions:

4. Write an integer that represents each of

the following situations.

15 feet below sea level

A deposit of $30

The team lost 6 yards on the play

5. Find the area of the parallelogram.

Lo/9 ft

Name

6. Courtney bought a shirt for $24 with a *

couponfor 25% off. What was the

original price of the shirt before the

discount?

7. Marco is making beaded bracelets. Each

bracelet will have the exact same number

of red and blue beads. If red beads come in

packs of 8 and and blue beads comein

packs of 6, what is the least numberofbeads of each color Marco can buy to have

equalcolors of beads?

8. Solve each equation.

x+18=39 x=

r-87=146 r=

8h = 136 h=

9. During the schoolfundraiser, Isaac sold

tubs of cookie dough for $15 each. He

made $165. Write an equation that could

be used to find the numberof tubs that

Dominic sold.

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CCSS 6" Grade Math

Final Review #5

1. 512.3+0.25 =

2. Which two teams have equivalent

ratios of wins to losses?

Leopards 15 10

Pirates 12 8

Knights 14 7

‘Lions 18 10

3. Mr. Hill has 27 studentsin his class

and Mr. Changhas 24 studentsin his

class. Both classes will be divided into

equalsized teamswithin their own

classes. What is the greatest numberof

students that can be on team sothatall

the teams are an equal number?

4. Find the surface area of the square

pyramid.

A >

6 ft

Name

5. Write an algebraic expression for each

of the following:

s divided by 10

8 times b

7 more than h

8 less than the product of 3 and r

6. A family drives for 4 hours at an average

of 62 miles per hour. How far does the

family travel?

7. Mrs. Hall's sixth graders walk laps every

day on the schooltrack. The following are

the numberoflaps the class completed in

the last 12 weeks:

15, 18, 20, 20, 10, 22, 14, 7, 18, 19, 15, 23

Create a box plot of the data.

8. Fill in the missing valuesin the ratio table.

Feet 1

Inches 24 36

OHall's Happenings

CCSS 6h Grade Math

Final Review #6

1. 23.7-15.863 =

2. Write an inequality for each of the

following situations:

The temperature wasless than 7° F.

You must be at least 42 inchestall to ride

the rollercoaster.

The repairs to the car will be at least $125.

3. Combinelike terms and apply the

distributive property to create an

equivalent expression.

2(5a + 3b)+5a+2b=

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

8r+3r24+6r2+2r+r=

4. Find the area ofthe trapezoid.

4ft

12 ft15 ft

10 ft

Name

5. Raul has - pound of modeling clay. He

needs to divide the clay into bags that

hold = pound each. How manybagswill

he fill?

6. If 2 bags of nuts cost $5.50, how much

will 7 bags cost?

7. Mrs. Allred’s band members practiced the

following numbers of hours last week:

2, 8, 5, 6, 8, 6, 6, 5, 2, 6, 6, 7

Create a dot plot of the data.

v

Label the gap andclusterin the data set.

What is the most common numbers of hours

that the band members practiced?

Whatis the total number of hours the band

members practiced last week?

8. 13% of 189 =

OHall's Happenings

CCSS 6'h Grade Math

Final Review #7

2. The ratio of dogs to cats at the pet

store is 1:3. If there are are 6 more cats

than dogs, how manydogsareat the pet

store?

3. Apply the distributive propertyin

reverse to create an equivalent expression.

16a+ 8b=

25g+15=

24f + 16b =

>

4. Identify the points on the numberline.

arene-2 -1 0

vE1 #2

A B Cc

5. Find the area of the complex shape.

12 in

3 in

7in

4in

8in

Name

6. Melanie is taking flute lessons. Her

flute teacher charges $32.50 per hour. If

Melanie has 2.5 hours of lessons each

week, what is the weekly charge for her

lessons?

7. Seth rides the bus to work each day. He

spends $2.25 on busfare. Write an equation

to represent the total amount he spent on

busfare for d numberofdays.

Whatis the independentvariable?

Whatis the dependentvariable?

Create a table of values for the equation.

8. Minutes spent running each day:

39, 41, 56, 15, 25, 42, 55, 23, 15, 25, 18, 22,

29, 31, 35, 45, 45, 19, 53, 40, 35, 28, 32, 48,

59, 22, 29, 52, 25, 35, 45, 15, 18, 55, 23, 28

Create a frequencychart of the data:

Minutes Frequency

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CCSS 6“ Grade Math

Final Review #8

1. Solve each equation.

x+37=103 x=

r-52=207 r=

7d = 161 d=

m

— =12 m=8

2. The 120 sixth graders are going on a

field trip to the museum. The museum

requests a ratio of students to adult

chaperonesof 8:1. How many adult

chaperoneswill be needed?

3. Write an inequality for each of the

following situations:

You needtosell at least 25 tickets.

You can't be more than 40 poundsto ride

the ponies.

There were less than 12 people in the

class.

4. Find the volumeofthe prism.

Name

5. Petra has 5 = yard of ribbon to make

necklaces. She wants to make 4

necklaces that are the same length. How

long will each necklace be?

6. Place the integers in order from least to

greatest.

- 10, -6, 8, 1, 9, -3,0

7. Hannah wants to rent a bike. Bike rentals

cost $15 per hourplus a one-timefee of $8.

Write an equation to represent the

relationship between the numberof hours h

Hannahrents the bike and thetotal costc.

8. Ona map of a campground, the swimming

poolis located at (2, -3), the campstoreat(2,

8,) and the tentat (-7, 8). If each unit

represents 5 feet, how manyfeetwill it be to

walk from the tent to the store and then to

the pool?

OHall's Happenings

CCSS 6th Grade Math

Final Review #9

2. Which is the better buy?

5 books for $12.00

OR

4 books for $10.00

3. Math Test Quiz Scores:

16, 20, 22, 25, 25, 20, 15, 18, 19, 20, 23, 17

Find the Mode

Median Mean

4. Find the measuresofvariability for the

math test scores from problem 3.

Range

Mean Absolute Deviation

5. Find the surface area of the prism.

7cm

4 cm

2cm

Name

6. Find the primefactorization of each of

the following:

36:

60:

75:

7. Maurisa gets $8 per week for an

allowance. She saves 25% of her allowance

each week. Howlongwill it take Maurisa to

save $16?

8. Devin is driving from Salt Lake City, Utah,

to Denver, Colorado. So far he has driven

80% of the distance, or 400 miles. How faris

the distance from Salt Lake City to Denver?

9.

[-6)=_ |7| =

}47J=_ |-3| =

JOJ=_ |-15| =

The opposite of -6 =

The opposite of 8 =

The opposite of the opposite of -10 =

OHall's Happenings

CCSS 6th Grade Math Name

Final Review #10

1. 34.84+6879= 6. Create a table of values then graph the

following equation:g eq x y

x+2=y

2. The ratio of boys to girls in the school

choir is 3:4. If there are 12 girls in the —_++—

choir, how manyboysarein the choir?

3. 18% of 87 =

45% of 175 =

7% of 98 =

7. §8?-(5%+1)=4. Identify the points on the numberline.

B Cc 22 LA. 15-3*+15+3=

8. Ages of students in a danceclass:

6, 7, 8, 8, 5, 9, 10, 8, 8, 9, 7,5, 11, 5, 11, 9

5. Find the area of the

shadedregion. Make a boxplot for the data.

< > Whatis the interquartile range?

9in

@©Hall’s Happenings