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Grade 9

2.03 Rates

Worksheet
Unit rates
1

Write the following as a unit rate:

a

1040 books per 13 libraries

b

91 people per 7 buses

c

234 kilometres per 4.5 hours

d

9 cakes per 72 guests

2

A plane burns 406 litres of fuel every 14 kilometres while in the air. Express the fuel consumption as a unit rate.

3

A toy manufacturer makes 165 toys in 5 hours. At what rate are the toys made per hour?

4

A tap fills up a 259 litre tub in 7 hours. Find the rate of water flow of the tap in litres per hour.

5

Luke earns \$328 in 8 hours. Find Luke's hourly rate.

6

Skye is taking part in a hotdog eating competition. What compound units could be used to measure how quickly she can eat hotdogs?

7

A tap fills up a 240 litre tub in 4 hours.

a

What compound unit should be used for the rate of water flow.

b

What is the rate of water flow of the tap in litres per hour?

8

A toy manufacturer makes 720 toys in 9 hours.

a

Write down the compound unit for the rate of toy manufacturing.

b

At what rate are the toys being made per hour?

9

Justin earns \$420 in 6 hours. Write down Justin's hourly rate.

10

Tricia reads 20 pages of her book in 2 hours. Write down the unit rate of pages per hour.

11

Tina burns 640 calories by jogging 8 kilometres. Write down the rate at which Tina burns calories per kilometre?

12

A tap fills up a 98 Litre tub in 2 hours. What is the rate of water flow of the tap?

13

A car travels 253 kilometres on 11 litres of biofuel. Express the fuel consumption as a unit rate.

14

Write the following as a unit rate: Travel 429 kilometres in 6.5 hours

15

A film maker is stitching together frames for a movie. They put together 6 frames for every 0.2 seconds. What's the frame rate of the movie in frames per second?

16

A pulse was recorded beating at 17 times per 15 seconds. How many beats per minute is this?

17

In an ice cream eating contest, the winner ate 2.22 litres of ice cream in 2 minutes.

What was the winner's rate of consumption of ice-cream in mL/s?

Rate conversions
18

Consider the rate 192 metres per 240 seconds.

a

Express this is as a unit rate in terms of metres and seconds.

b

Express this is as a unit rate in terms of metres and minutes.

19

Vanessa is trying to save money and deposits \$5.60 into her bank account for every 8 coffees she purchases. Find her deposit rate in cents per coffee.

20

The admission for a concert starts at 6 pm and closes at 7 pm. If there are 900 people attending and they arrive at a constant rate, find the flow of people per minute.

21

A worm takes 20 seconds to travel 25\text{ cm}. How long does it take the worm to travel a metre?

22

A bike travels 83 \text{ m} per 12 seconds. Find the speed of the bike in m/min.

23

Convert the following rates:

a
6 \text{ L/h} to \text{ mL/h}
b
80 \text{ words/min} to \text{ words/h}
c
-680 \text{ km/h} to \text{ m/h}
d
75 \text{ beats/min} to \text{ beats/h}
e
-5.2 \text{ L/h} to \text{ mL/min}
f
25 \text{ m/min} to \text{ cm/sec}
g
500 \text{ mL/g} to \text{ L/kg}
h
800 \text{ cm/min} to \text{ m/h}
24

Convert:

a

600 km/hr to km/min

b

300 mL/hr to mL/min

c

36 dollars/hr to dollars/min

d

96 L/day to L/h

25

A crabeater seal can filter 0.9 litres of water in each dive while looking for food. They can stay under water for 30 minutes each dive.

a

What is the rate of water filtered in L/min?

b

What is the rate of water filtered mL/min?

c

What is the rate of water filtered mL/s?

26

A runner approximates the distance between two street lights to be 33 metres. It takes them 10 seconds to run from one street light to the other.

a

What is the runner's speed in m/min?

b

What is the runner's speed in m/h?

c

What is the runner's speed in km/h?

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Outcomes

9.B3.3

Apply an understanding of integers to explain the effects that positive and negative signs have on the values of ratios, rates, fractions, and decimals, in various contexts.

9.B3.5

Pose and solve problems involving rates, percentages, and proportions in various contexts, including contexts connected to real-life applications of data, measurement, geometry, linear relations, and financial literacy.

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