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 · 15 questions

MathsUKwww.geekhero.co.uk

1.A necklace is made using gold beads and silver beads in the ratio 7:3. There are 40 more gold beads than silver beads. Work out the total number of beads in the necklace.
(a)100
(b)40
(c)70
(d)30
2.A kettle uses 2.1 kWh of energy. A toaster uses 0.9 kWh of energy. Write the energy used by the kettle as a fraction of the energy used by the toaster, giving your answer in its simplest form.
(a)7/10
(b)4/3
(c)3/7
(d)7/3
3.A train travels at a constant speed of 90 km/h. Work out the speed in m/s.
(a)1.5 m/s
(b)25 m/s
(c)324 m/s
(d)90000 m/s
4.A scale drawing states '1 cm represents 25 m'. Which of these is the correct way to write this scale in the form 1 : n?
(a)1 : 25
(b)1 : 2.5
(c)1 : 250
(d)1 : 2500
5.A printer's ink cartridge level, I millilitres, is plotted against the number of pages printed, p, and the points lie on a straight line. The line passes through (0, 24) and (300, 9). The printer has now printed 300 pages. Work out how many more pages it can print before the cartridge is empty.
(a)480 pages
(b)0.45 pages
(c)180 pages
(d)9 pages
6.A company's turnover was £128 000 in 2023 and £176 000 in 2024. Work out the multiplier that changes the 2023 turnover into the 2024 turnover.
(a)1.375
(b)0.375
(c)0.727
(d)137.5
7.Two taxi firms show their charges on straight-line graphs, with the cost in pounds on the vertical axis and the distance in miles on the horizontal axis. Firm A's line passes through (0, 4) and (5, 14). Firm B's line passes through (0, 6) and (5, 21). Work out which firm charges more per mile.
(a)Firm A — £3 per mile against Firm B's £2 per mile
(b)Firm A — £0.50 per mile against Firm B's £0.33 per mile
(c)Firm B — £3 per mile against Firm A's £2 per mile
(d)Neither — both lines start with a positive fixed charge
8.A film runs for 2.25 hours. Work out the length of the film in minutes.
(a)135 minutes
(b)150 minutes
(c)225 minutes
(d)145 minutes
9.8 identical pens cost £6.40 in total. Work out the cost of 5 of the same pens.
(a)£2.40
(b)£0.80
(c)£4.00
(d)£10.24
10.A tin of beans has a mass of 400 g. A tin of soup has a mass of 500 g. Write the mass of the tin of beans as a fraction of the mass of the tin of soup, giving your answer in its simplest form.
(a)1/5
(b)4/5
(c)5/9
(d)5/4
11.Three business partners share a profit of £48,000 in the ratio 3:5:4. Work out how much the partner with 5 parts receives.
(a)£20,000
(b)£12,000
(c)£4,000
(d)£16,000
12.A force of 20 N acts on an area of 4 m². Using pressure = force ÷ area, work out the pressure, in pascals.
(a)5
(b)24
(c)80
(d)16
13.A map has a scale of 1 : 1000. A road is 300 m long in real life. Work out the length of the road on the map, in centimetres.
(a)3 cm
(b)300000 cm
(c)0.3 cm
(d)30 cm
14.A train journey takes 2 hours 15 minutes. A bus journey to the same place takes 3 hours 45 minutes. Write the time for the train journey as a fraction of the time for the bus journey, giving your answer in its simplest form.
(a)2/5
(b)5/3
(c)3/8
(d)3/5
15.y is directly proportional to x. When x = 8, y = 20. Work out the value of y when x = 12.
(a)14.5
(b)4.8
(c)30
(d)24

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