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 supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.
(a)£6.66
(b)£8
(c)£7.60
(d)£7.40
2.Write down the reciprocal of 5/8
(a)−8/5
(b)8/5
(c)5/8
(d)3/8
3.Which of these statements about −0.7 and −0.25 is true?
(a)−0.7 = −0.25
(b)−0.7 < −0.25
(c)−0.7 ≥ −0.25
(d)−0.7 > −0.25
4.Work out 6² − 4².
(a)2
(b)52
(c)20
(d)4
5.Which of these decimals lies between 1/4 and 2/5?
(a)0.45
(b)0.2
(c)0.5
(d)0.3
6.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
(a)3⁷
(b)3³
(c)3⁻³
(d)3¹⁰
7.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.
(a)1 × 10³
(b)0.1 × 10⁻²
(c)1 × 10⁻⁴
(d)1 × 10⁻³
8.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.
(a)28
(b)240
(c)280
(d)350
9.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
(a)18
(b)25
(c)24
(d)28
10.Work out 35% of 180.
(a)45
(b)63
(c)145
(d)126
11.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
(a)−0.6, −0.15, −0.09, 0.45, 0.5
(b)0.5, 0.45, −0.6, −0.15, −0.09
(c)0.5, 0.45, −0.09, −0.15, −0.6
(d)0.5, 0.45, −0.15, −0.09, −0.6
12.Write down the symbol that makes this statement true: 6/11 ___ 4/11
(a)≤
(b)<
(c)>
(d)=
13.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.
(a)1/2
(b)1/6
(c)5/6
(d)1
14.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.
(a)3
(b)12
(c)7
(d)4
15.Round 0.006482 to 2 significant figures.
(a)0.01
(b)0.00648
(c)0.0065
(d)0.006

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