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6th Grade Math Final Exam Review

Total questions: 51

Worksheet time: 2hrs 41mins

Name
Class
Date
1.

Divide.

*****NO CALCULATOR.

a)
b)
c)
d)
2.

A square pyramid has a base with a side length of 3 feet and lateral faces with heights of 6 feet. What is the lateral area of the pyramid?

a)

9 square feet

b)

27 square feet

c)

36 square feet

d)

45 square feet

3.

A restaurant charges $4 extra for delivery. The total cost C is the price of the food ordered f plus $4 for delivery. Which equation represents the relationship between the variables?

a)

C = 4f

b)

C = f + 4

c)

C = f - 4

d)

C = f ÷ 4

4.

At a mini golf course, admission is $12 for each person, and a putter costs $3 to rent. Parking costs $2. The expression 12n + 3n + 2 gives the total cost for a family of n people to play mini golf. Which expression is equivalent?

a)

12n + 5

b)

14n + 3

c)

15n + 2

d)

17n

5.

Ellen is shopping online. For her to get free shipping, the order must be at least $50. Which inequality describes all total costs that would let her get free shipping?

a)

c > 50

b)

c > 50

c)

c < 50

d)

c < 50

6.

The linear equation y = 6x represents the cost yin dollars of x pounds of chicken wings. Which ordered pair lies on the graph of the equation?


(Hint: Substitute in the x-values shown in the choices below)

a)

(3, 18)

b)

(6, 3)

c)

(6, 6)

d)

(2, 24)

7.

Cameron swam 32 miles last month. He swam 4 more miles than Ian. The equation m + 4 = 32 can be used to find the number of miles m that Ian swam last month. Which is the solution of the equation?

a)

m = 8

b)

m = 28

c)

m = 30

d)

m = 36

8.

Eight chairs weigh 56 pounds. How much do 5 chairs weigh?


*****NO CALCULATOR

a)

40 pounds

b)

35 pounds

c)

11 pounds

d)

7 pounds

9.

The data set shows the distances JoAnn ran each week for the last 10 weeks.


What percent of the weeks did she run more than 5 miles?

a)

20%

b)

30%

c)

50%

d)

70%

10.

Four identical laptops weigh 24 pounds. How much do 3 of the laptops weigh?


****NO CALCULATOR

a)

72 pounds

b)

18 pounds

c)

8 pounds

d)

6 pounds

11.

Which equation represents the relationship shown in the table?

a)

y = x - 1

b)

y = x + 1

c)

y = x ÷ 1

d)

y = x

12.

A cedar chest is a rectangular prism with a width of 24 inches and a height of 18 inches. The volume of the chest is 5,184 cubic inches. What is the length of the chest?

a)

6 inches

b)

12 inches

c)

42 inches

d)

216 inches

13.

A cardboard box measures 4 inches by 5 inches by 6 inches. What is its surface area?

a)

74 square inches

b)

108 square inches

c)

120 square inches

d)

148 square inches

14.

Joey sold his old surfboard for $85. He saves 25% of the money to purchase a new surfboard. How much does Joey save for the new surfboard?

a)

$2.15

b)

$21.25

c)

$25.00

d)

$212.50

15.

The GCF of which two numbers is 6?


******NO CALCULATOR

a)

2 and 3

b)

6 and 1

c)

36 and 40

d)

24 and 42

16.

33 + 80 ÷ 24


*********NO CALCULATOR

a)

32

b)

19

c)

14

d)

11

17.

What is the area of the octagon?

a)

15.5 square inches

b)

31 square inches

c)

30 square inches

d)

124 square inches

18.

The graph shows the distance d a flock of geese traveled over a period of h hours

Which is the linear equation that gives

the distance d in miles that the flock of

geese flies in h hours?

a)

d = h + 50

b)

d = h + 51

c)
d)

d = 50h

19.

Sophie buys a pair of jeans for $45. The sales tax is 7.5%.

Which shows 7.5% written as a decimal?

a)

0.075

b)

0.75

c)

7.5

d)

75.0

20.

Hayden researched different prices of video games at four stores.

Gamer Discount: 3 games for $75.99

Star Gamers: 5 games for $165.80

Video Superstore: 2 games for $52.00

Video Warehouse: 4 games for $109.20

Which store charges the least amount per game?


********NO CALCULATOR

a)

Gamer Discount

b)

Star Gamers

c)

Video Superstore

d)

Video Warehouse

21.

On a coordinate map of the school cultural festival, the information booth is located at (4, 5). The ticket booth is located 4 units north of the information booth. What ordered pair represents the location of the ticket booth?

a)

(0, 5)

b)

(8, 5)

c)

(4, 9)

d)

(4, 1)

22.

Lila earns $15.50 each hour she babysits. She babysat for 5.5 hours over the weekend. How much did Lila make babysitting over the weekend?


*****NO CALCULATOR

a)

$21.00

b)

$82.50

c)

$85.25

d)

A) $852.50

23.

********NO CALCULATOR

a)
b)
c)
d)
24.

********NO CALCULATOR

a)
b)
c)
d)
25.

Ms. Jenkins bought a new rug for her classroom. The rectangular rug is 14 feet long and 22 feet wide. What is the area of Ms. Jenkins’ new rug?

a)

36 square feet

b)

72 square feet

c)

308 square feet

d)

380 square feet

26.

Alex’s grandma made him a rectangular quilt that has an area of 36 square feet. If the length of the quilt is 3 yards, what is the width of the quilt in feet?

a)

12 feet

b)

9 feet

c)

4 feet

d)

3 feet

27.

Jorge uses 1.5 liters of water to make limeade. How many milliliters of water does he use to make limeade?

a)

0.15 milliliter

b)

15.0 milliliters

c)

150 milliliters

d)

1,500 milliliters

28.

Evaluate 42.

a)

6

b)

8

c)

16

d)

44

29.

The inequality p < 358 represents the possible number of passengers p on an airplane. Which is a solution of the inequality?

a)

p = 268

b)

p = 358

c)

p = 360

d)

p = 457

30.

The low temperature last month was – 11°F. What is the absolute value of – 11?

a)

– 11

b)

0

c)

11

d)

22

31.

Rosie spent $25 on a new DVD. What integer represents Rosie’s situation?

a)

– 50

b)

– 25

c)

0

d)

25

32.

A tabletop is in the shape of a trapezoid. The area is 420 square inches. The bases are 22 inches and 38 inches. What is the height?

a)

7 inches

b)

14 inches

c)

30 inches

d)

60 inches

33.

Lilly plants 2 red rose bushes, 8 pink rose bushes, and 6 yellow rose bushes. What is the ratio of yellow rose bushes to pink rose bushes?

a)

2:8

b)

8:6

c)

8:2

d)

6:8

34.

John bought 7.5 liters of peanut oil. What is this amount as a mixed number?

a)
b)
c)
d)
35.

The temperature in Seattle, Washington, was -11.5˚F one day last winter. Between which two integers does the temperature lie?

a)

1 and 5

b)

11 and 12

c)

-11 and -5

d)

-12 and -11

36.

Which expression shows 9 less than 3 times a number n?

a)

9 – 3n

b)

3n – 9

c)

9n – 3

d)

3 – 9n

37.

The graph shows the possible number of CDs c that can be checked out from the library at one time. Which inequality represents this graph?

a)

c < 8

b)

c > 8

c)

c < 8

d)

c > 8

38.

Ms. Pienkos rides her bike 15 miles in 2 hours at a constant speed. What is her unit rate?


*********NO CALCULATOR

a)

5 miles per hour

b)

7.5 miles per hour

c)

15 miles per hour

d)

30 miles per hour

39.

Find the area of a triangle with a base of 24 in and a height of 14 in.

a)

38 square inches

b)

168 square inches

c)

336 square inches

d)

532 square inches

40.

Which expression is equivalent to 3(12 – x)?

a)

15 – 3x

b)

36x – 3

c)

36 – 3x

d)

36 – x

41.

The expression 6c shows the number of tokens given to each guest who brings in c coupons. How many tokens would be given to a guest who brings 16 coupons?

a)

6

b)

22

c)

90

d)

96

42.

Find the quotient.


19.25 ÷ 3.5


*******NO CALCULATOR

a)

1.75

b)

3.50

c)

4.75

d)

5.50

43.

Select the net that will create a pyramid.

a)
b)
c)
d)
44.

The low temperatures in Harrisburg over 4 days were -1˚C, -2˚C, 4˚C, and 0˚C. Which list shows these temperatures written in order from least to greatest?

a)

-2˚C, -1˚C, 0˚C, 4˚C

b)

-2˚C, 0˚C, -1˚C, 4˚C

c)

-1˚C, -2˚C, 0˚C, 4˚C

d)

4˚C, 0˚C, -1˚C, -2˚C

45.

Ms. Kamp can drive at a constant rate of 55 miles per hour. At that rate, how far can she travel in 3 hours?

a)

55 miles

b)

110 miles

c)

165 miles

d)

220 miles

46.

What is the measurement of the angle shown in degrees?

a)

115

b)

85

c)

75

d)

105

47.

Which of the following is NOT an acceptable way to name the angle shown?

a)

<ABC

b)

<BCA

c)

<CBA

d)

<B

48.

If <N has a measure of 26 degrees, what is the measurement of an angle that is complementary to <N?

a)

154 degrees

b)

64 degrees

c)

164 degrees

d)

74 degrees

49.

Which equation represents the measure of angle x?

a)

x + 130 = 180

b)

x + 130 = 90

c)

130 - x = 180

d)

130 - x = 90

50.

What is the value of x in the diagram shown?

a)

40°

b)

130°

c)

50°

d)

45°

51.

What is the third angle of a triangle if the other two angles are 60° and 10°?

a)

20°

b)

110°

c)

70°

d)

90°