Free Printable Ratios, Rates, and Proportions

Worksheets

Ratios, Rates, and Proportions

Total questions: 40

Worksheet time: 2hrs 37mins

Name

Class

Date

What is a ratio?

A number over another number

Multiplying two fractions

Two decimals that are multiplied

A comparison of two numbers

How many different ways can you write a ratio

What is the ratio to the picture shown, triangles to squares?

2:6

5:6

3:4

4:3

Write the ratio as a fraction in simplest form.
21 wins to 14 losses

21/14

2/3

3/2

14/21

Express the following ratio in simplest form:

20:45

10:22.5

4:9

40:90

5:9

If you have 3 pennies, 4 nickels, and 5 dimes which represents the following ratio: nickels to total number of coins (in simplest form)?

4:5

3:12

1:3

4:12

Are these ratios equivalent?

\frac{2}{3}

and

\frac{8}{9}

yes

Which is NOT equivalent to 3:5?

15:25

9:15

21:28

30:50

A rate is a ratio that compares

A part to a part

A part to a whole

Quantities with different units

Quantities with the same units

10.

A unit rate is a ratio in fraction form that has a _____________________________ of 1.

numerator

bottom number

fraction

denominator

11.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

$8 per pound

$35 per pound

$5 per pound

$0.125 per pound

12.

Ms. Cagle is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.

13.

You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was the unit rate per pizza?

$4.95 per pizza

$5.75 per pizza

$7.25 per pizza

$6.50 per pizza

14.

Determine whether each pair of ratios forms a proportion

Proportion

Not a Proportion

15.

Determine whether each pair of ratios forms a proportion

Proportion

Not a Proportion

16.

For a single batch of cookies, a recipe calls for 2 eggs and 3 cups of flour. How much flour and how many eggs are needed to make 3 batches?

6 eggs and 9 cups of flour

6 cups of flour and 9 eggs

8 eggs and 12 cups of flour

12 eggs and 8 cups of flour

17.

Write the ratio $\frac{9}{30}$ in simplest form.

$\frac{1}{2}$

$\frac{3}{10}$

$\frac{1}{4}$

18.

Are the ratios 7:21 and 21:63 equivalent?

yes

19.

What is the unit rate for 282 passengers in 47 cars?

$\frac{47}{282}$

8 passengers per car

6 passengers per car

20.

What is the unit rate for 600 calories in 8 servings?

75 calories per serving

12 calories per serving

21.

Determine whether the ratios form a proportion.

$\frac{3}{8}\ \ and\ \frac{6}{16}$

yes

22.

Determine whether the ratios form a proportion.

$\frac{4}{5}\ \ and\ \frac{10}{3}$

yes

23.

Express the ratio as a fraction in simplest form:
18 ounces to 3 cups

6 to 1

1/6

18/3

3/18

24.

88 students for 4 classes
How many students per class?

22 students per class

22 classes per student

25 students per class

25 classes per student

25.

Which is NOT equivalent to 3:5?

15:25

9:15

21:28

30:50

26.

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

$50 per hour

$12 per hour

$192 per hour

$25 per hour

27.

Do the ratios form a proportion?

Yes, they form a proportion.

No, they do not form a proportion.

28.

Do the ratios form a proportion?

Yes, they form a proportion.

No, they do not form a proportion.

29.

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

5:4

5:11

2:5

6:5

30.

Select ALL the ratios that are equivalent to 16 : 6

3 to 8

32 : 12

4 to 2

8 to 3

31.

There are 4 birds and 6 snakes. What is the ratio of birds to total animals?

4/10

4/6

6/4

10/4

32.

You travel 150 miles on 5 gallons. How far did you travel per gallon?

15 miles

30 miles

3 miles

25 miles

33.

There are 60 cookies and 10 cupcakes leftover at a bake sale. What is the ratio of cupcakes to cookies? Your answer It must be in simplest form.

6 to 1

1:6

30:5

14:56

34.

What is the ratio of red apples to green apples?

7 to 3

4 to 7

4 to 3

3 to 4

35.

A ratio can be written in 3 ways. Which of the following is NOT how a ratio is written?

3=4

3 : 4

3 / 4

3 to 4

36.

What is the ratio of orange circles to blue circles?

2 : 3

3 : 5

3 : 2

2 : 5

37.

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

3:5

1:3

3:11

3:10

38.

There are 6 red dots, 3 green dots, and 5 orange dots. What is the ratio of green dots to orange dots?

5:3

3:5

6:3

5:6

39.

Tommy has a bag of LEGOS. There are 6 yellow, 3 red, and 8 blue LEGOS. What is the ratio in simplest form of red to yellow LEGOS?

1/2

6/3

2/1

3/6

40.

Mary lost 3 out of 5 games. What is the ratio of games Mary lost to the games she won?

3/5

2/5

3/2

5/2

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Ratios, Rates, and Proportions

Total questions: 40

Worksheet time: 2hrs 37mins

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