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Ratios and Rates Word Problems

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

The ratio of water to cement in a mixture is 2:1. If you have 60 kg of cement, how many kilograms of water do you need?

a)

30

b)

60

c)

90

d)

120

2.

A map scale shows that 1 cm on the map corresponds to 4 km in reality. If two cities are 8 cm apart on the map, how far are they in reality?

a)

28 km

b)

30 km

c)

32 km

d)

34 km

3.

Evan's favourite hobby is origami. He plans to make 100 paper cranes to hang from the ceiling of his bedroom. Yesterday, he made 28 paper cranes in 4 hours. Today, he made 21 paper cranes at the same rate.


How long did Evan spend making paper cranes today?

a)

3 hours

b)

4 hours

c)

1 hour

4.

If there are 2 cats and 5 dogs what is the ratio of cats to dogs?

a)

2:5

b)

5:2

c)

10:1

5.

What is the ratio of strawberries to the total if there are 20 strawberries and 35 grapes?

a)

20:35

b)

35:20

c)

20:55

6.

Unit rates are....

a)

ratios whereby the amount given is per 1 unit

b)

ratios whereby the amount given is per 2 units

c)

ratios whereby the amount given is per 10 units

7.

To find a unit rate you must

a)

add

b)

subtract

c)

multiply

d)

divide

8.

Find the unit rate for 10 apples that cost $2.00

a)

$20.00 per apple

b)

$0.20 per apple

c)

$0.50 per apple

9.

What would the proportion look like for the following example? 12 girls have brown eyes and 10 girls have blue eyes.If 72 girls have brown eyes, how many have blue eyes?

a)

10 12=b72\frac{10\ }{12}=\frac{b}{72}

b)

12 10=72b\frac{12\ }{10}=\frac{72}{b}

10.

Solve this proportion.

1260 = 3x\frac{12}{60}\ =\ \frac{3}{x}  

a)

5

b)

15

c)

4

11.

At Tim Horton's the number of cups of coffee sold to hot chocolate is 100 to 5. If there are 2,000 cups of coffee sold, how many cups of hot chocolate are sold?

a)

10

b)

100

c)

40,000

12.

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

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

13.

A machine can pack 70 boxes of spaghetti in 5 minutes. At this rate, how many boxes can they pack in 8 minutes.

a)

35 boxes

b)

14 boxes

c)

112 boxes

d)

560 boxes

14.

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

a)

$.50 per pound

b)

$1.25 per pound

c)

$3 per pound

d)

$2.50 per pound

15.

It cost me $46.80 to fill my 13-gallon gas tank. What was the price of gas per gallon?

a)

$3.60

b)

$3.55

c)

$3.40

d)

$3.50