Free Printable 7th Grade Unit 5 - Ratios and Proportions

1.

Write the ratio in simplest form. 80 girls : 55 boys

a)

$\left(A\right)\ \frac{18\ girls}{11\ boys}$

b)

$\left(B\right)\ \frac{11\ boys}{16\ girls}$

c)

$\left(C\right)\ \frac{16\ girls}{11\ boys}$

d)

$\left(D\right)\ \frac{14\ girls}{9\ boys}$

2.

Find the Unit Rate: 45 cars in 9 days

a)

A) 9 cars per day

b)

B) 5 cars per day

c)

C) 7 cars per day

d)

D) 6 cars per day

3.

Determine if the ratios are proportional: $\frac{33}{44},\ \frac{12}{16}$

a)

A) yes

b)

B) no

4.

Solve the proportion: $\frac{12}{n}=\frac{90}{300}$

a)

A) n=15

b)

B) n=60

c)

C) n=45

d)

D) n=40

5.

Solve the proportion: $\frac{n}{14}=\frac{55}{70}$

a)

A) n=11

b)

B) n=14

c)

C) n=12.5

d)

D) n=13

6.

Given a scale factor is 1:3, find the missing height. $\frac{model\ height:\ ?cm}{acutal\ height:\ \ 15ft}$

a)

A) 45 ft

b)

B) 45 cm

c)

C) 5 cm

d)

D) 5 ft

7.

A map has a scale of 1 inch=25 miles. The map shows two cities 9 inches apart. How many miles are the cities apart?

a)

A) 275 miles

b)

B) 190 miles

c)

C) 325 miles

d)

D) 225 miles

8.

Which of the following is not a Proportional Relationship (Direct Variation)?

a)

$\left(A\right)\ \ \ \ \frac{y}{x}=9$

b)

$\left(B\right)\ \ \ \frac{x}{y}=6$

c)

$\left(C\right)\ \ \ y=5x$

d)

$\left(D\right)\ \ \ y=\frac{3}{4}x$

9.

Which graph is a proportional relationship.

a)

b)

c)

d)

10.

What is the "rate of change" (slope) between the two points?

a)

A) $\frac{-3}{7}$

b)

B) $\frac{7}{3}$

c)

C) $\frac{3}{7}$

d)

D) $\frac{-7}{3}$

11.

Mr. Baker used 8 eggs to bake 192 cookies. How many eggs would he need to bake 240 cookies?

a)

A) 14

b)

B) 11

c)

C) 16

d)

D) 10

12.

Which is a "direct variation" (proportional relation) between x and y?

a)

A) y + 8 = x

b)

B) y - x = 6

c)

C) y = 4x

d)

D) xy = 2

13.

Fourteen friends went to the zoo and it cost $175. How much would it cost for ten people to go to the zoo?

a)

A) $98

b)

B) $135

c)

C) $125

d)

D) $137

14.

Solve the proportion: $\frac{5}{3}=\frac{n}{63}$

a)

A) n=77

b)

B) n=95

c)

C) n=105

d)

D) n=115

15.

Determine if the ratios are proportional: $\frac{3}{12},\ \frac{8}{48}$

a)

A) yes

b)

B) no

16.

a)

3

b)

5.3

c)

1.08

d)

27

17.

a)

10.8

b)

7.5

18.

Simplify the ratio of
35 : 14

a)

5 : 2

b)

2 : 5

c)

3 : 1

d)

35: 14

19.

It takes Emma 18 minutes to type and spell check 14 pages of manuscript. How long will it take her to type and spell check 77 pages?

a)

18 minutes

b)

99 minutes

c)

60 minutes

d)

1,386 minutes

20.

If a car travels 280 miles in 7 hours, how far will it travel in 12 hours?

a)

480 miles

b)

1,960 miles

c)

84 miles

d)

25 miles

7th Grade Unit 5 - Ratios and Proportions

Total questions: 20

Worksheet time: 26mins

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