Year 8 - Rates and Ratios Name:________________

Fully simplify these ratios
by dividing both numbers by
the biggest number possible.

1

15 : 20

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

Divide the following in
the ratios given

36

750 mL in ratio 2 : 3

2

12 : 4

21

2 : 3 = 4 :

3

3 : 6

22

3 : 7 = 9 :

4

20 : 10

23

5 : 4 = 20 :

5

5 : 35

24

3 : 12 = 9 :

37

600 kg in ratio 5 : 3

6

20 : 35

25

10 : 8 = 40 :

7

16 : 24

26

9 : 11 =

: 33

8

20 : 100

27

4 : 7 =

: 35

38

$12.10 in ratio 4 : 7

9

40 : 12

28

8 : 3 =

: 15

10

50 : 15

29

25 : 6 =

: 24

:

11

18 : 27

30

13 : 4 =

: 12

12

13

14

64 : 80

75 : 90

2 : 6 : 4

Use the same method as
above, but find the value for
both the □ and the

39

95 L in ratio 4 : 1

15

5 : 15 : 30

31

5 : 4 : 2 = 10 :

:

16

12 : 6 : 24

32

2 : 4 : 1 = 8 :

:

40

$75 in ratio 5 : 7 : 3

17

8 : 12 : 4

33

7 : 12 : 6 = 21 :

:

18

6 : 12 : 15

34

3 : 7 : 4 =

: 35 :

19

18 : 6 : 30

20

7 : 42 : 56

35

8 : 2 : 9 =

: 12 :

Marks =

20

Marks =

20

Marks =

10

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Page 2

Simplify these rates

Find the amount paid for these items

59

3.6 kg bananas at $3.60/kg

41

12 truckloads in 3 hours

51

1.8 kg tomatoes at $5.90/kg

60

15 bottles milk at $3.22/btle

42

85 cm in 5 seconds

52

72 L petrol at $1.03/L

43

285 shells in 19 m2

END OF TEST

44

630 L in 70 secs

53

1.2 kg of steak at $4.80/kg

Final Mark =

70

45

350 bucket loads in 7 mins

54

2.7 T fire wood at $125/T

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Find the cost per item

55

35 L chlorine at $5.60/L

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46

18 apples cost $10.26

56

80 bells at $0.85 per bell

47

12 cans salmon cost $19.56

48

38 L petrol cost $41.04

57

14 budgies at $3.35/budgie

49

1 dozen eggs cost $3.24

58

3.4 kg chops at $12.90/kg

50

6 calamari rings cost $3.30

Marks =

10

Marks =

10

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Year 8 - Rates and Ratios Name:________________

Fully simplify these ratios
by dividing both numbers by
the biggest number possible.

1

8 : 2

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

Divide the following in
the ratios given

36

900 mL in ratio 2 : 3

2

10 : 15

21

2 : 3 = 4 :

3

9 : 12

22

3 : 7 = 9 :

4

4 : 2

23

5 : 4 = 20 :

5

8 : 20

24

3 : 12 = 9 :

37

480 kg in ratio 5 : 3

6

45 : 50

25

10 : 8 = 40 :

7

16 : 24

26

9 : 11 =

: 33

8

30 : 12

27

4 : 7 =

: 35

38

$1.32 in ratio 4 : 7

9

12 : 28

28

8 : 3 =

: 15

10

50 : 35

29

25 : 6 =

: 24

:

11

9 : 15

30

13 : 4 =

: 12

12

13

14

28 : 32

40 : 24

2 : 6 : 4

Use the same method as
above, but find the value for
both the □ and the

39

140 L in ratio 4 : 1

15

5 : 15 : 30

31

5 : 4 : 2 = 10 :

:

16

12 : 6 : 24

32

2 : 4 : 1 = 8 :

:

40

$1 800 in ratio 5 : 7 : 3

17

8 : 12 : 4

33

7 : 12 : 6 = 21 :

:

18

6 : 12 : 15

34

3 : 7 : 4 =

: 35 :

19

18 : 6 : 30

20

7 : 42 : 56

35

8 : 2 : 9 =

: 12 :

Marks =

20

Marks =

20

Marks =

10

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Page 2

Simplify these rates

Find the amount paid for these items

41

18 truckloads in 3 hours

51

2.3 kg tomatoes at $5.90/kg

42

135 cm in 5 seconds

Find the average speed in km/h

52

85 L petrol at $1.03/L

59

510 km in 8 hours

43

361 shells in 19 m2

44

455 L in 70 secs

53

1.9 kg of steak at $4.80/kg

60

414 km in 9 hours

45

189 bucket loads in 7 mins

54

3.5 T fire wood at $125/T

Find the time taken in hours

61

744 km at 93 km/h

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Find the cost per item

55

17 L chlorine at $5.60/L

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46

18 apples cost $7.74

62

216 km at 72 km/h

56

16 bells at $0.85 per bell

47

12 cans salmon cost $40.20

Find the distance travelled in km

48

38 L petrol cost $52.82

57

8 budgies at $3.35/budgie

63

73 km/h for 9 hours

49

1 dozen eggs cost $4.32

58

2.6 kg chops at $12.90/kg

64

694 km/h for 23 hours

50

6 calamari rings cost $4.50

Marks =

10

Marks =

8

Marks =

6

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