Printable · GCSE Foundation · ages 14-16

Number worksheet — GCSE Foundation

Fifteen questions across the number 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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Number worksheet — GCSE Foundation

Maths · GCSE Foundation · Number · Non-calculator · 15 questions

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1.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.
(a)2/9
(b)4/9
(c)2/5
(d)4/7
2.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
(a)121 litres
(b)57 litres
(c)87 litres
(d)72 litres
3.Work out 3 × (−2)² − 5
(a)7
(b)−3
(c)31
(d)−17
4.Work out (−36) ÷ (−6) × 2
(a)3
(b)6
(c)12
(d)−12
5.Work out ∛64.
(a)21.3
(b)4
(c)192
(d)8
6.Work out 15% of £40, using 10% and 5%.
(a)£6
(b)£4
(c)£600
(d)£2
7.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
(a)An over-estimate, by 19
(b)Neither — the estimate is exactly right
(c)An under-estimate, by 8
(d)An over-estimate, by 8
8.Work out 4π + 2π, giving your answer as a multiple of π.
(a)6
(b)8π
(c)6π²
(d)6π
9.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
(a)30, which is not prime
(b)31, which is not prime because 31 = 1 × 31
(c)31, which is not prime because it is a multiple of 3
(d)31, which is prime
10.Work out (−6) + (−4) × 3
(a)−30
(b)−18
(c)18
(d)6
11.Write down the symbol that makes this statement true: −9 ___ −4
(a)≥
(b)>
(c)<
(d)=
12.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
(a)0.5, 0.55, 0.56, 0.6, 0.601
(b)0.5, 0.56, 0.55, 0.6, 0.601
(c)0.5, 0.6, 0.55, 0.56, 0.601
(d)0.601, 0.6, 0.56, 0.55, 0.5
13.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
(a)56
(b)21
(c)35
(d)28
14.Work out the value of 5³.
(a)8
(b)53
(c)125
(d)15
15.Round 3.947 to 2 decimal places.
(a)4.0
(b)3.94
(c)3.95
(d)3.9

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