Free Printable 7th Grade Benchmark 2024 Review

1.

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

2.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$1.25 per pound

b)

$1 per pound

c)

$2 per pound

d)

$1.50 per pound

3.

Solve the proportion.

a)

k=5

b)

k=45

c)

k=60

d)

k=90

4.

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

a)

75 Pieces

b)

27-ounces

c)

27 pieces

d)

75-ounces

5.

Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?

a)

$12

b)

$1.50

c)

$3

d)

$1

6.

The ratio of boys to girls is 12:17. If there are 200 students, how many girls would you expect there to be? Round to nearest person.

a)

117 girls

b)

83 girls

c)

141 girls

7.

At Emily's summer camp, there were 80 girls and 12 counselors. At this rate, how many counselors should they have for 100 girls?

a)

10

b)

14

c)

15

d)

16

8.

$\frac{x}{4}$ is really....

a)

x added to 4

b)

x subtracted from 4

c)

x multiplied by 4

d)

x divided by 4

9.

How many total outfit options are represented?

10.

You pick a marble from this bag.

What is the probability you will choose either a black or white marble?

a)

$\frac{3}{5}$

b)

$\frac{9}{100}$

c)

$\frac{1}{10}$

d)

$\frac{2}{5}$

11.

A bag has 3 red, 5 blue, and 2 yellow pieces of candy. What is the probability of drawing a blue piece of candy?

a)

¹/₂

b)

¹/₁₀

c)

³/₁₀

d)

¹/₃

12.

Sophie surveyed students about their favorite music. He results are shown.

Based on the data in the table, what is the probability that a randomly selected student prefer hip hop music?

HInt: $\frac{hiphop}{total}$

a)

7/30

b)

1/3

c)

2/3

d)

23/30

13.

The spinner shown is divided into congruent sections labeled 1 through 8.

What is the probability that the arrow will land on a number greater than 4?

a)

$\frac{1}{8}$

b)

$\frac{4}{5}$

c)

$\frac{3}{8}$

d)

$\frac{1}{2}$

14.

P(not A) =
*Remember to simplify.*

a)

6/8

b)

3/4

c)

2/8

d)

1/4

15.

What is the probability of rolling a cube and having land as an odd number?

a)

3/4

b)

1/3

c)

1/2

d)

2/5

16.

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll?

a)

2/3

b)

5/36

c)

1/9

d)

1/36

17.

What is the probability of flipping a coin twice and landing on Tails both times?

a)

$\frac{1}{2}$

b)

$\frac{2}{2}$

c)

$\frac{4}{1}$

d)

$\frac{1}{4}$

18.

Bill reaches into a bag filled with colored tiles and chooses 1 tile. The bag has 5 blue tiles, 4 green tiles, 3 yellow tiles, and 8 red tiles. What is the probability that Bill will choose a tile that is NOT green?

a)

1/5

b)

1/4

c)

3/4

d)

4/5

19.

Joan counted the number of eggs in some chickens' nests. Using her data, what is the probability that the next nest will have 4 eggs?

a)

1/8

b)

1/4

c)

1/2

d)

3/4

20.

a)

A

b)

B

c)

C

d)

D

21.

The cards shown above are picked up, shuffled, and placed facedown in a stack. What is the probability that the top card in the stack does NOT have an odd number on it?

a)

1/3

b)

1/2

c)

4/9

d)

$\frac{5}{9}\ because\ the\$

22.

Max surveyed a group of people to find out their favorite

color. The results of the survey are shown in the table below.

One person in this group will be

picked at random. Based on the

given information, which statement

is true?

a)

The person’s favorite color is

twice as likely to be red as it is

to be yellow.

b)

The person’s favorite color is

four times as likely to be blue

as it is to be pink.

c)

The person’s favorite color is

four times as likely to be blue

as it is to be pink.

d)

The person’s favorite color is equally likely to be either pink

or yellow.

23.

Peyton rolls a 6-sided die

42 times. How many times

should she expect to roll

a 5 or 6?

24.

What is the solution to: $5x+3=33$

a)

$x=-6$

b)

$x=\frac{36}{5}$

c)

$x=30$

d)

$x=6$

25.

Solve $3\left(x+3\right)=18$

a)

$x=-3$

b)

$x=3$

c)

$x=5$

d)

$x=9$

26.

Solve $-2x-7=17$

a)

$x=-12$

b)

$x=-5$

c)

$x=5$

d)

$x=12$

27.

–1.3g + 1.9 = –11.1

a)

10

b)

-7.08

c)

-10

d)

7.08

28.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

29.

7p+ 9 = 40.5

a)

7.5

b)

3.5

c)

8.5

d)

4.5

30.

Write the equation for the model.

a)

7=2x-3

b)

7=2x+3

c)

-7=2x-3

d)

7=-2x-3

31.

Write the equation for the model.

a)

3x+6=-9

b)

-3x-6=9

c)

3x+6=9

d)

3x-6=-9

32.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

33.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

34.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

35.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

a)

11x + 6 = 39

b)

11x - 6 = 39

c)

11 + 6x = 39

d)

66x = 39

36.

Which equation matches the tape diagram?

a)

$28-x=16$

b)

$x+16=28$

c)

$3\left(x+16\right)=28$

d)

$3x+16=28$

37.

Which equation represents this tape diagram?

a)

3x + 60 = 24

b)

24 + x = 60

c)

24x + 60 = 24

d)

24 + 4x = 60

38.

Which equation matches the tape diagram?

a)

$6\left(8+x\right)=35$

b)

$8+6x=35$

c)

$35-x=8$

d)

$35=6+8x$

39.

The Mississippi river measures $29$ inches in length on a United States map. The map scale indicates $\frac{1}{4}$ inch equal $20$ miles. Based on the map scale, what is the actual length of the Mississippi River in miles?

40.

The blueprint of Terri's new house used the scale 1 centimeter = 0.5 meters.

If the width of the square kitchen on the blueprint measures 9 centimeters, what is the actual width of Terri's kitchen in meters?

41.

A 17-foot tree casts a 36 foot shadow at the same time that a house casts a shadow of 84 feet. Determine the height of the house to the nearest foot.

a)

178 feet

b)

40 feet

c)

54 feet

d)

136 feet

42.

The two trapezoids shown below are similar. Find the missing side length, x.

a)

$4\frac{1}{3}$ feet

b)

3 feet

c)

$2\frac{1}{3}$ feet

d)

$2\frac{1}{2}$ feet

43.

What is the value of d in millimeters?

a)

27 mm

b)

12 mm

c)

9 mm

d)

13 mm

44.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

45.

What percent of Sherri's total monthly budget is put into savings?

a)

15%

b)

8%

c)

12.5%

d)

25%

46.

What percent of Sherri's total budget is put into cable and cell phone?

a)

5%

b)

9%

c)

13%

d)

17%

47.

What percent of Sherri's total budget is spent on utilities and groceries?

a)

18%

b)

8.5%

c)

53%

d)

26.5%

48.

Which statement IS supported by the information in the table?

a)

More than 1/2 of Sherri's monthly income is spent on rent.

b)

Sherri puts 15% of her monthly income into savings.

c)

More than 1/4 of Sherri's monthly income is spent on utilities , cable and groceries.

d)

Sherri spends 14% of her monthly income on her cell phone and other expenses.

49.

The graph represents the linear relationship between the number of books Layla has read and the number of months she has been a member of a book club. (7.4A)

a)

Layla has read 2 books in the first 3 months she was a member of the book club.

b)

Layla has read 3 books in the first 2 months she was a member of the book club.

c)

Layla has read 3 books in the first 4 months she was a member of the book club.

d)

Layla has read 4 books in the first 3 months she was a member of the book club.

50.

A dolphin travels through the water of a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate? (7.4A)

a)

b)

c)

d)

51.

Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?

a)

x = 4.25 + y

b)

x = 4.25y

c)

y = 4.25 + x

d)

y = 4.25x

52.

Frank and his family drove 6 hours every day during a road trip. Which graph best represents y, the total number of hours driver in x days?

a)

b)

c)

d)

53.

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x -3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of this fish, given this equation? (7.7A)

a)

From a starting position of 7 meters below sea level, the fish is descending 3 meters per second

b)

From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second

c)

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second

d)

From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second

54.

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table? (7.7A)

a)

b)

c)

d)

55.

Which equation best represents the relationship between x and y in the graph? (7.7A)

a)

y = 2x + 4

b)

y = 2x - 2

c)

y = 1/2x + 4

d)

y = 1/2x - 4

56.

Which table contains only values that satisfy the equation

y = 0.5x + 14?

a)

b)

c)

d)

57.

A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars? (7.4A)

a)

y = 12x + 55

b)

y = 12x + 165

c)

y = 55x + 12

d)

y = 165x + 12

58.

What two formulas can you use to find the circumference?

a)

C = π·d

b)

C = π·r²

c)

C = 2·π·r

d)

C = d²

59.

What is the formula for finding the area of a circle?

a)

A = π·d

b)

C = 2·π·r

c)

A = π·r²

d)

C = π·d

60.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

61.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

62.

What is the diameter?

a)

5 in

b)

10 in

c)

3.14 in

d)

15.84 in

63.

What is the radius?

a)

18

b)

72

c)

38

d)

14

64.

A cruise ship has a large, circular window. It has a diameter of 8 meters. What is the window's area?

a)

31.25 m²

b)

29.55 m²

c)

30.36 m²

d)

50.27 m²

65.

Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the distance around the cookie?

a)

10 in

b)

2.5 in

c)

15.7 in

d)

31.4 in

66.

Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?

a)

49.2 cm²

b)

45.6 cm²

c)

50.24 cm²

d)

55.9 cm²

67.

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?

a)

3 m

b)

9.42 m

c)

12 m

d)

18.84 m

68.

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.

a)

c=15

b)

c=18

c)

c=21

d)

c=16

69.

Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?

a)

$12

b)

$1.50

c)

$3

d)

$1

70.

a)

F

b)

G

c)

H

d)

J

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

(a)

74.

a)

F

b)

G

c)

H

d)

J

75.

What is the value of the expression -9 * 2.2?

(a)

76.

a)

A

b)

B

c)

C

d)

D

77.

a)

A

b)

B

c)

C

d)

D

78.

a)

A

b)

B

c)

C

d)

D

79.

(a)

80.

a)

F

b)

G

c)

H

d)

J

81.

a)

A

b)

B

c)

C

d)

D

82.

a)

A

b)

B

c)

C

d)

D

83.

a)

A

b)

B

c)

C

d)

D

84.

a)

A

b)

B

c)

C

d)

D

85.

a)

F

b)

G

c)

H

d)

J

86.

a)

A

b)

B

c)

C

d)

D

87.

a)

F

b)

G

c)

H

d)

J

88.

a)

A

b)

B

c)

C

d)

D

89.

What percentage of the customers put chocolate creamer in their coffee?

a)

30%

b)

14%

c)

70%

d)

75%

90.

The owner of a bookstore buys used books from customers for $1.50 each. The owner then resells the used books for 400% of the amount he paid for them. What is the price of a used book in this bookstore?

4 lines

91.

A recipe for fruit salad includes 1/3 cup of grapes for 4 servings. Using the ratio, match the amount of grapes to the number of servings below.

a)

10 cups of grapes

1.

120 servings

b)

40 cups of grapes

2.

480 servings

c)

$2\frac{1}{2}$ cups of grapes

3.

30 servings

d)

$7\frac{1}{2}$ cups of grapes

4.

90 servings

92.

The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced?

a)

8%

b)

80%

c)

60%

d)

40%

93.

The ratio of boys to girls in Ms. Cunningham's class is 2 to 3. There are 18 girls in the class. What is the total number of students in Ms. Cunningham's class?

a)

12

b)

30

c)

45

d)

27

94.

Russell has a collection of 1200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell's collection are dated after 2000?

a)

480

b)

720

c)

40

d)

60

95.

Perry traveled at an average speed of 55 miles per hour for 3.5 hours and then traveled at an average speed of 60 miles per hour for 2.5 hours. The total distance in miles that Perry traveled during this time was:

(a)

96.

Kyle chose a new backpack at Walmart for $16. If the sales tax is 8.5%, how much will he end up spending on this backpack?

a)

$1.36

b)

$17.36

c)

$14.64

d)

$20

97.

In Julie's class there are 18 girls and 6 boys. What percent of the class are boys?

(a)

98.

Of the 430 students enrolled in 8th grade math this year, 90% are passing. How many students are NOT passing math?

a)

387

b)

43

99.

a)

$798in^2$

b)

$552in^2$

c)

$333in^2$

d)

$898in^2$

100.

a)

209in²

b)

145in²

c)

300in²

101.

a)

95ft²

b)

15ft²

c)

40ft²

d)

35ft²

102.

This question is asking you to find (a)

The amount of cardboard needed is (b)

Choose from the below words

TSA

400 sq inches

LSA

Volume

217 sq inches

448 sq inches

103.

a)

93in²

b)

84in²

c)

76in²

d)

85in²

104.

The LSA of this rectangular pyramid is _ ?

(a)

105.

a)

612in²

b)

558in²

c)

672in²

106.

a)

272in²

b)

389in²

c)

241in²

d)

240in²

107.

a)

90.8ft²

b)

80.8ft²

c)

70.8ft²

d)

60.8ft²

108.

a)

200m²

b)

180m²

c)

160m²

d)

220m²

109.

a)

190cm²

b)

142.7cm²

c)

28cm²

d)

163.8cm²

110.

A prism has _______ base(s).

a)

1

b)

2

111.

A pyramid has _______ base(s).

a)

1

b)

2

112.

All of the faces on a pyramid that are NOT the base must be

a)

rectangles

b)

triangles

c)

squares

113.

All of the faces on a prism that are NOT the base must be

a)

pentagons

b)

triangles

c)

rectangles

114.

The base of a triangular prism is a

a)

square

b)

triangle

c)

rectangle

115.

The base of a square pyramid is a

a)

square

b)

triangle

c)

hexagon

116.

Both prisms and pyramids are named for their

a)

vertices

b)

edges

c)

base(s)

d)

faces

117.

Check ALL that are examples of pyramids.

a)

b)

c)

d)

118.

Which is a real-life example of a triangular prism?

a)

b)

c)

d)

119.

Name this figure.

a)

Square Pyramid

b)

Triangular Prisim

c)

Square Prisim

d)

Triangular Pyramid

120.

When is 1/2 used when calculating volume?

a)

When the 3D shape is a pyramid

b)

When the 3D shape has triangular sides

c)

When the base (or bases) is (or are) triangles

121.

Match the following

a)

Volume of a triangular pyramid

1.

V = 1/3(1/2bh)h

b)

Volume of a rectangular pyramid

2.

V = 1/3(lw)h

c)

Volume of a triangular prism

3.

V = (1/2bh)h

d)

Volume of a rectangular prism

4.

V = lwh

e)

Volume of a cube

5.

V = lwh

122.

Match the following

a)

1.

Triangular Prism

b)

2.

Triangular Pyramid

c)

3.

Rectangular Prism

d)

4.

Rectangular Pyramid

123.

Match the following

a)

1.

V = 1/3(lw)h

b)

2.

V = lwh

c)

3.

V = (1/2bh)h

d)

4.

V = 1/3(1/2bh)h

124.

A cereal box is in the shape of a rectangular prism. It has a height of 12 cm. The area of the base is 7 cm². What is the volume?

a)

28 $cm^3$

b)

84 $cm^3$

c)

19 $cm^3$

d)

42 $cm^3$

125.

Find the volume of the figure. Round to the nearest whole number.

a)

1,944 cm³

b)

108 cm³

c)

972 cm³

d)

216 cm³

126.

Find the volume of this rectangular prism.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

127.

An ice cube is in the shape of a rectangular prism. Each side of this ice cube measures 2 inches. The volume of this ice cube is (a)

Choose from the below words

8 cubic inches

6 cubic inches

12 cubic inches

4 square inches

128.

The figure is a triangular prism. What is the volume of this triangular prism?

a)

560 ft 3

b)

1120 ft ³

c)

600 ft ³

d)

64 ft ³

129.

When calculating volume of a pyramid, your last step is to always...

a)

divide by 3

b)

add the lengths of all the sides

c)

divide by 2

d)

multiply by 2

130.

Calculate the volume of the rectangular pyramid in the picture. Round to the nearest whole number if necessary.

a)

216 yd³

b)

108 yd³

c)

72 yd³

d)

36 yd³

131.

Calculate the volume of the rectangular pyramid in the picture. Round to the nearest whole number if necessary.

a)

160 in³

b)

960 in³

c)

480 in³

d)

320 in³

132.

Find the volume of this triangular pyramid.

a)

22 $cm^3$

b)

132 $cm^3$

c)

66 $cm^3$

d)

60 $cm^3$

133.

Find the volume of the triangualr pyramid.

a)

231 cm³

b)

346.5 cm³

c)

693 cm³

d)

308 cm³

7th Grade Benchmark 2024 Review

Total questions: 133

Worksheet time: 6hrs 32mins

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