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.

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Ratio, proportion and rates of change worksheet — GCSE Foundation

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

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1.Which of these ratios is equivalent to 5 : 4?
(a)15 : 12
(b)4 : 5
(c)15 : 16
(d)9 : 8
2.A parcel has a mass of 2400 g. Given that 1 kg = 1000 g, work out the mass of the parcel in kilograms.
(a)2.4 kg
(b)24 kg
(c)240 kg
(d)0.24 kg
3.Two mathematically similar flags are made in different sizes. The length scale factor from the smaller flag to the larger flag is 5. Work out the area scale factor from the smaller flag to the larger flag.
(a)25
(b)125
(c)10
(d)5
4.An oven is preheating. Its temperature, T °C, is plotted against time, t minutes, on a straight-line graph. The line passes through the points (2, 60) and (6, 140). Work out the gradient of the line.
(a)−20
(b)30
(c)40
(d)20
5.Write the ratio 5 : 8 in the form 1 : n.
(a)1:0.6
(b)1:1.6
(c)1:1.5
(d)0.6:1
6.The ratio of the number of red beads to blue beads in a bracelet is 3 : 7. There are 21 blue beads. Work out the number of red beads.
(a)14
(b)9
(c)49
(d)24
7.Isla says that the ratio 4:6 is equivalent to the ratio 6:9. Is she correct? Give a reason for your answer.
(a)Yes, because the number 6 appears in both ratios
(b)No, because 9 − 6 is not equal to 6 − 4
(c)No, because 4 × 6 is not equal to 6 × 9
(d)Yes, because 4 × 9 = 6 × 6
8.Write the ratio 0.75 : 2 as a ratio of whole numbers in its simplest form.
(a)0.75 : 2
(b)75 : 200
(c)3 : 2
(d)3 : 8
9.In a class, 50% of the students study French, 30% study Spanish and the rest study German. Write down the ratio of French : Spanish : German students, in its simplest form.
(a)5:3:1
(b)3:5:2
(c)50:30:20
(d)5:3:2
10.After a 20% discount, a jacket costs £48. Work out the original price of the jacket.
(a)£40
(b)£60
(c)£57.60
(d)£38.40
11.A film lasts 105 minutes. A documentary lasts 45 minutes. Write the length of the film as a fraction of the length of the documentary. Give your answer in its simplest form.
(a)3/7
(b)4/3
(c)7/10
(d)7/3
12.A graph shows two quantities, x and y, in direct proportion. Write down which statement about the graph must be true.
(a)The line is straight but does not pass through the origin.
(b)The line curves upward through the origin.
(c)The line is straight, passes through the origin, and slopes downward.
(d)The line is straight and passes through the origin.
13.Two quantities y and z are each in direct proportion to x, and are given by y = 3x and z = 7x. Work out the difference between the value of y and the value of z when x = 4.
y = 3x
(a)40
(b)16
(c)28
(d)4
14.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).
15.Write 3/4 as a percentage.
(a)133%
(b)34%
(c)0.75%
(d)75%

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