Author: Michael Farlam

Rates and Ratios Name:________________

Fully simplify these ratios by
dividing both numbers by the
largest number possible (LCM).

Find the value of the □ by working out what number times the first pair of numbers gives you the second pair of numbers.

Find the total cost for buying:

25

4 kg carrots at $1.95/kg

1

15 : 20

Divide both by 5

14

2 : 3 = 4 :

2

12 : 4

× 2

3

3 : 6

Divide both by 4

15

3 : 7 = 9 :

× 3

26

56.2 L diesel at $1.46/L

4

20 : 10

16

5 : 4 = 20 :

5

5 : 35

6

20 : 35

17

3 : 12 = 18 :

Find the cost per kilogram, when:

7

0.2 : 2.68

18

10 : 8 = 5 :

27

3 kg mince costs $14.94

8

20 : 100

19

12 : 28 =

: 7

9

40 : 12

20

4 : 7 =

: 35

28

4.15 kg carrots costs $8.22

10

50 : 15

11

A two stroke mower fuel can has 200mL of oil and
3 800 mL of petrol.
Simplify this ratio.

21

22

3 : 1 : 5 =

9 : 1 : 3 =

9 :

:

: 8 :

Simplify these rates

12

A butcher makes sausages from a batch of 18 kg of topside mince and 24 kg of extender. Simplify the ratio

23

A plumber fits 5 taps while his apprentice fits 2 taps. How many taps does the apprentice fit when the plumber fits 15?

29

30

95 trees in 5 hours

28 metres in 7 seconds

13

A concrete mix has 200 kg of sand, 450 kg aggregate and 50 kg of cement.
Simplify this ratio.

24

When Jason takes 8 steps his younger brother Doug walks 10. How many steps would Doug take when
Jason takes 36 steps.

31

350 litres in 56 hours

All questions worth 1 mark each

All questions worth 1 mark each

All questions worth 1 mark each

Page 2

Divide the following quantities by the ratios given.

Complete the Distance - Time - Speed Triangle

32

Ford are painting their logo in the middle of a football field. The sign requires blue and white paint in the ratio of 7 (blue) : 2 (white). How many litres of blue and white paint are needed if it is estimated that a total of 7.2 litres of paint will be required for the job.

35

Find the average speed, given a car travels:

36

686 km in 7 hours.

33

John is an experienced electrician while Fred is his apprentice. John finds that when he fits 5 power points, Fred fits 2. If there are 126 power points to be fitted in a block of units, how many of the power points would each man fit?

37

76.5 km in 45 mins.

Find the distance travelled, when

38

A car travels at 78 km/h for 7 hours.

34

Steven and Tracey are landscape gardeners. They are hired to construct a pergola in a backyard which has taken 13 hours to build. If
Steven worked 8 of those hours, while Tracey worked the rest. How much should each be fairly paid if the job is worth $4 628?

Find the time taken to travel

39

450 km travelling at 90 km/h

40

602 km travelling at 860 km/h

All questions worth 2 marks each

All questions worth 2 marks each