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.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
2.A laptop is bought for £600. Its value decreases by 20% after 1 year. Work out the value of the laptop after 1 year.
(a)£120.00
(b)£580.00
(c)£480.00
(d)£720.00
3.Two quantities x and y are inversely proportional. When x = 2, the value of y is 15. Work out the value of y when x = 5.
(a)6
(b)12
(c)30
(d)37.5
4.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
5.Write 3 hours 45 minutes as a decimal number of hours.
(a)3.67
(b)4.15
(c)3.45
(d)3.75
6.In a school choir the ratio of boys to girls is 3:4. When 6 more boys join the choir, the ratio of boys to girls becomes 1:1. Work out how many girls are in the choir.
(a)18
(b)24
(c)42
(d)30
7.Work out 50% of 60.
(a)6
(b)3000
(c)120
(d)30
8.y is always the same multiple of x. When x = 6, y = 15. Work out the value of y when x = 10.
(a)4
(b)15
(c)25
(d)19
9.Write the ratio 27 : 45 in its simplest form.
(a)27 : 45
(b)3 : 5
(c)5 : 3
(d)9 : 15
10.Write the ratio 4 : 9 in the form 1 : n.
(a)1 : 5
(b)1 : 2.25
(c)2.25 : 1
(d)1 : 36
11.8 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
12.Sam has £24. Tom has £16. Write the amount of money Sam has as a fraction of the amount of money Tom has, giving your answer in its simplest form.
(a)3/2
(b)2/3
(c)3/5
(d)1/2
13.A shop's number of online orders is proportional to its number of in-store orders. Last month there were 45 in-store orders and 180 online orders. Write the ratio of online orders to in-store orders, in its simplest form.
(a)3:1
(b)1:4
(c)4:5
(d)4:1
14.A straight-line graph passes through the origin and the point (4, 10). The line represents y = kx. Write down the ratio x : y in its simplest form.
(a)2 : 10
(b)4 : 5
(c)2 : 5
(d)5 : 2
15.A machine fills bottles at a constant rate. It fills 18 bottles in 3 minutes. Working at the same rate, work out how many bottles the machine fills in 8 minutes.
(a)144
(b)18
(c)23
(d)48

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