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Worksheets

Ratios and Rates

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

The original length of a copper rod is 18 feet. The rod is split in the ratio 3 : 2. Find the length of the longer rod.

a)

10.8 feet

b)

10.6 feet

c)

10.4 feet

d)

11 feet

2.

A room is 14 feet long. Find the width of the room, if the ratio of the length to the width of the room is 7 : 5.

a)

10

b)

12

c)

14

d)

16

3.

Lara and Mae are collecting seashells. For every 9 seashells that Lara picked, Mae gathered 7 seashells. If Lara collected 63 seashells, how many fewer seashells did Mae gather?

a)

16

b)

14

c)

15

d)

13

4.

Lara completed 105 sit-ups in 3 minutes. How many sit-ups did she accomplish per minute?

a)

35 sit-ups/minute

b)

25 sit-ups/minute

c)

15 sit-ups/minute

d)

45 sit-ups/minute

5.

Two quantities are in the ratio 7:3. If the sum of the quantities is 100, what is the larger quantity?

a)

70

b)

75

c)

30

d)

25

6.

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to make a half batch, how many cups of flour do you need?

a)

1

b)

1.5

c)

2

d)

3

7.

Use ratio language to describe the relationship where for every 5 red marbles, there are 7 blue marbles.

a)

There are 5 red marbles for every 7 blue marbles.

b)

The ratio of red marbles to blue marbles is 5 to 7.

c)

Both A and B

d)

None of the above

8.

In a survey, the ratio of people who prefer tea to those who prefer coffee is 4:5. If 180 people were surveyed, how many prefer tea?

a)

80

b)

72

c)

90

d)

100

9.

A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him? (no label)

(a)  

10.

The ratio of lemon juice to water in Ella's Delicious Lemonade is 3 cups : 5 cups. Audrey wants to make a triple batch. What ratio of lemon juice and water should she use AND how many cups of lemonade will it make?

a)

9 cups juice : 15 cups water makes 24 cups of lemonade

b)

6 cups juice : 10 cups water makes 16 cups of lemonade

c)

9 cups juice : 15 cups water makes 8 cups of lemonade

d)

9 cups juice : 5 cups water makes 24 cups of lemonade

11.

If the ratio of cats to dogs in a pet store is 3:4, and there are 12 cats, how many dogs are there?

a)

16

b)

15

c)

14

d)

13

12.

In Houston, Texas 6 birds ate 30 grams of worms in one night. At this rate, how many grams of worms could 98 birds eat in one night?

a)

490

b)

19.6

c)

134

d)

580

13.

At a bus station, busses depart at a rate of 3 every 10 minutes. At this rate, how many busses would depart in one hour?

a)

3 busses

b)

10 busses

c)

13 busses

d)

18 busses

14.

If a car travels 60 miles in 1.5 hours, what is the ratio of miles to hours?

a)

40:1

b)

60:1.5

c)

40:3

d)

20:0.5

15.

A school's student to teacher ratio is 20:1. If there are 400 students, how many teachers are there?

a)

20

b)

25

c)

15

d)

10

16.

At a bus station, busses depart at a rate of 3 every 10 minutes. At this rate, how many busses would depart in one hour?

a)

3 busses

b)

10 busses

c)

13 busses

d)

18 busses

17.

What is a Ratio?

a)

Is a comparison of two quantities 

b)

A rate with a denominator of one

c)

It is when the only factor the numerator and denominator share is a one 

d)

Two decimals that can be multiplied

18.

Rebeca and Leila each added the same amount of water to their aquariums. Rebeca mixed 3 mL of chemical solution for every gallon of water for her aquarium. Leila mixed 8mL of chemical solution for every 2 gallons of water for her aquarium.

Which of these statements is true?

a)

Rebeca used more solution per gallon of water than Leila, because 3:1 is greater than 8:2.

b)

Leila used more solution per gallon of water than Rebeca, because 8mL is greater than 3 mL.

c)

Rebeca used more solution per gallon of water than Leila, because 3 mL is greater than 2 mL.

d)

Leila used more solution per gallon of water than Rebeca, because 8:2 is greater than 3:1.

19.

At Jayden's school, the ratio of those who love dogs to cats is 17 to 20. At Jordan's school, the ratio of those who love dogs to cats is 36 to 40. If both schools have the same total number of students, which statement about the number of people who love dogs at Jayden's and Jordan's school is true?

a)

There are more people who love dogs at Jordan's school than at Jayden's school because the ratio 17 to 20 is greater than the ratio 36 to 40.

b)

There are more people who love dogs at Jordan's school than at Jayden's school because the ratio 36 to 40 is greater than the ratio 17 to 20.

c)

There are more people who love dogs at Jayden's school than at Jordan's school because the ratio 36 to 40 is greater than the ratio 17 to 20.

d)

There are more people who love dogs at Jayden's school than at Jordan's school because the ratio 17 to 20 is greater than the ratio 36 to 40.

20.

Juan works at Best Buy. He earns $73.60 for 8 hours of work. Jasmine works at Game Stop and earns $38.00 for 4 hours of work. How does the amount Juan earns per hour compared to the amount Jasmine earns per hour?

a)

Juan's hourly rate is more than Jasmine’s hourly rate.

b)

Juan's hourly rate is the same as Jasmine’s hourly rate.

c)

Juan's hourly rate is less than Jasmine’s hourly rate.

d)

Juan's hourly rate double Jasmine’s hourly rate.