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In Math, ratios are a way of comparing quantities. For example, if there are 25 girls and 20 boys in a class, the ratio is 25 : 20. Because the numbers 25 and 20 have a common factor of 5, this can be canceled down to 5 : 4, known as the simplest form.

1.

What is £8 : 420p in its simplest form?

13 : 25

17 : 28

19 : 33

40 : 21

The quantities in the ratio MUST be in the same units: in this case change the £8 to 800p

2.

What is 150 cm : 4 m in its simplest form?

2 : 7

3 : 8

4 : 9

5 : 9

The common factor is 50 cm. There are 3 x 50 cm in 150 cm and there are 8 x 50 cm in 4 m

3.

Divide 240 liters in the ratio 3 : 5.

50 : 150

80 : 140

90 : 150

90 : 170

4.

Dean buys 75 shares for £262.50. How much would 325 shares cost Dean?

£1,037.10

£1,137.50

£1,317.50

£1,731.40

5.

Divide £85 in the ratio 1 : 4.

£17 : £68

£23 : £62

£40 : £45

£60 : £25

Remember the two numbers must total £85

6.

15 pints of milk cost £7.80. What is the cost of 22 pints of milk?

£10.80

£11.44

£14.44

£15.03

7.

A road map is drawn to a scale of 1 cm = 8 km. A distance of 6.5 cm on the map represents how many kilometers of the road?

52 km

56 km

65 km

81 km

8.

The ratio of two bags of flour is 3 : 4. If the smaller bag holds 900 g of flour, how much does the larger bag hold?

1,000 g

1,100 g

1,200 g

1,300 g

A ratio such as 3:4 means 3/7 of one thing and 4/7 of another thing. The 7 comes from adding 3 and 4. The ratio 3:4 can also be written as a fraction 3/4 for calculations. In this case 900/x = 3/4 where x is the big bag of flour: so x = (4 x 900)/3. Use this method when dealing with ratios

9.

A drink is made from orange juice and lemonade in the ratio 3 : 7. How much lemonade is needed if 60 ml of orange juice is used?

110 ml

120 ml

130 ml

140 ml

60 ml / 3 = 20 ml and 7 x 20 ml = 140 ml

10.

What is 12 kg : 4,800 g in its simplest form?

5 : 2

6 : 3

7 : 4

8 : 5