Printable · GCSE Foundation · ages 14-16

Ratio, proportion and rates of change worksheet — GCSE Foundation

Fifteen questions across the ratio, proportion and rates of change statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.

Non-calculator

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Ratio, proportion and rates of change worksheet — GCSE Foundation

Maths · GCSE Foundation · Ratio, proportion and rates of change · Non-calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.A table shows three pairs of values: when x = 2, y = 6; when x = 5, y = 15; when x = 8, y = 24. In every pair the ratio y : x is the same. Write down a formula for y in terms of x.
(a)y = x/3
(b)y = x + 16
(c)y = 3x
(d)y = x + 4
2.A toy manufacturer makes a model aircraft that is mathematically similar to the real aircraft, at a scale of 1 : 48. The wingspan of the model is 15 cm. Work out the wingspan of the real aircraft, giving your answer in metres.
(a)72 m
(b)7.2 m
(c)0.72 m
(d)0.31 m
3.A prize fund of £240 is shared between two winners in the ratio 3 : 5. Write the smaller winner's share as a fraction of the whole prize fund.
(a)3/8
(b)3/5
(c)5/8
(d)5/3
4.Write the ratio 2/3 : 1/2 as a ratio of whole numbers, in its simplest form.
(a)4:3
(b)2:3
(c)3:4
(d)1:2
5.A class has 28 pupils. 16 of the pupils are girls and the rest are boys. Write the ratio of girls to boys in its simplest form.
(a)4:7
(b)3:4
(c)8:6
(d)4:3
6.A section of a kitchen wall has an area of 45,000 cm². Work out the area of this section in m².
(a)0.45 m²
(b)450.00 m²
(c)4500000.00 m²
(d)4.50 m²
7.The ratio of the amount of money Harry has to the amount of money Isla has is 5:3. Harry has £35. Work out how much money Isla has.
(a)£7
(b)£28
(c)£21
(d)£33
8.x × y is used to test whether two quantities are in inverse proportion. For the pairs x = 4, y = 15 and x = 6, y = 10, which statement is correct?
(a)They are not in inverse proportion, because y ÷ x is different for each pair (3.75 and 1.67).
(b)They are in inverse proportion, because x × y = 60 for both pairs.
(c)They are in inverse proportion, because x × y = 40 for both pairs.
(d)They are not in inverse proportion, because x + y is different for each pair (19 and 16).
9.A rectangle has its height and its width in the ratio 3:2. The height of the rectangle is 18 cm. Work out the width of the rectangle.
(a)17 cm
(b)12 cm
(c)27 cm
(d)6 cm
10.Two numbers are in the ratio 5 : 8. The larger number is 40. Work out the smaller number.
(a)64
(b)45
(c)25
(d)35
11.A bag contains red counters and blue counters in the ratio 5:3. There are 56 counters in the bag altogether. Work out how many counters are blue.
(a)35
(b)7
(c)28
(d)21
12.A room is drawn on a plan with a scale of 1 : 200. On the plan the room has an area of 12 cm². Work out the real area of the room, in square metres.
(a)4800 m²
(b)48 m²
(c)24 m²
(d)2400 m²
13.The number of members of a running club increases from 45 to 54. Work out the percentage increase.
(a)9%
(b)120%
(c)20%
(d)16.7%
14.1 litre = 100 centilitres. Work out how many centilitres there are in 6 litres.
(a)6000 centilitres
(b)60 centilitres
(c)600 centilitres
(d)106 centilitres
15.A jug holds 2 litres. Given that 1 litre = 1000 cm³, work out the capacity of the jug in cm³.
(a)20 cm³
(b)2000 cm³
(c)200 cm³
(d)20000 cm³

Build your own mix at the worksheet builder.