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Rates and Ratios

Rates and Ratios

Curriculum Ready

Copyright ? 2009 3P Learning. All rights reserved. First edition printed 2009 in Australia. A catalogue record for this book is available from 3P Learning Ltd.

ISBN

978-1-925202-68-7

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Rates and ratios are ways of comparing two or more quantities.

Rates and ratios are used all around us every day.

Recipes

Speed

Rate of Pay

The ratio of the different ingredients in a recipe.

The rate of distance travelled with respect to time in a car, km/h.

The amount a person earns per week can be expressed as a rate of dollars per hour. For

example, $18 per hour.

Can you list some other examples in everyday life where two or more quantities are compared?

Q Harry and Sally purchased a bag containing 36 cookies. They decide to share them based on how much each contributed to their purchase. If Harry paid 3 times as much money as Sally did for this purchase, how many cookies does he keep?

Work through the book for a great way to do this

Rates and Ratios

Mathletics Passport ? 3P Learning

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SERIES TOPIC

How does it work?

Rates and Ratios

Ratios

A ratio compares two quantities in a given order.

For example, if the number of oranges in a bag is twice that of the number of apples, this is a ratio of 2

to 1 and is written as:

2:1

Each number is called a term of the ratio

The order in a ratio is important. The ratio of oranges to apples is 2:1. The ratio of apples to oranges is 1:2.

The shapes below are divided into equal rectangular regions. For each region: (i) Write down the ratio of the shaded region to unshaded region. (ii) Write down the ratio of the shaded region to the whole shape.

a

(i) 1 part is shaded, while 4 parts are unshaded, so the ratio of shaded to unshaded parts is 1 to 4, or using ratio notation, 1:4.

(ii) There are 5 equal parts in total. ` The ratio of shaded to the whole is 1:5.

b

(i) 3 parts are shaded, while 2 parts are unshaded, so the ratio of shaded to unshaded parts is 3 to 2, or using ratio notation, 3:2.

(ii) There are 5 equal parts in total. ` The ratio of the shaded parts to the whole shape is 3:5.

c

(i) 4 parts are shaded, while 3 parts are unshaded. ` The ratio of shaded to unshaded parts is 4 to 3, or using ratio notation, 4:3.

(ii) There are 7 equal parts in total. ` The ratio of the shaded parts to the whole shape is 4:7.

2

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SERIES TOPIC

Rates and Ratios

Mathletics Passport ? 3P Learning

RATIOS *

* RATIOS *

How does it work?

Your Turn

Rates and Ratios

Ratios

RATIOS

RATIOS *

1 a If there are 17 girls and 12 boys in a classroom, then:

(i) The ratio of girls to boys is:

:

.

...../...../20....

(ii) The ratio of boys to girls is:

:

.

(iii) The ratio of all students in the classroom to the number of boys is:

:

.

(iv) The ratio of the number of girls in the classroom to the total number of students is:

:

.

b A school has 41 basketball players, 23 soccer players, 31 netballers, 29 swimmers, 61 Rugby players, 17 tennis players, 12 lawn bowlers, and 8 who do not play sport. Find:

(i) The ratio of basketball players to rugby players:

:

.

(ii) The ratio of soccer players to swimmers:

:

.

(iii) The ratio of rugby players to soccer players:

:

.

(iv) The ratio of tennis players to netballers:

:

.

(v) The ratio of sport players to non-players:

:

.

2 Complete shading in the parts until they match the ratio of shaded to non-shaded given underneath.

psst. It doesn't matter which ones you shade, as long as the proportion is correct.

Shaded to Non-shaded parts = 7:9.

Shaded to Non-shaded parts = 9:5.

Rates and Ratios

Mathletics Passport ? 3P Learning

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SERIES TOPIC

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