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.Write 90 as a product of its prime factors.
(a)2 × 3² × 5
(b)2 × 45
(c)2 × 3 × 15
(d)3 × 3 × 10
2.Work out (2/3)² + (1/2)². Give your answer as a fraction.
(a)7/3
(b)49/36
(c)25/36
(d)5/13
3.Write down the symbol that makes this statement true: −2/3 ___ −5/6
(a)<
(b)≤
(c)>
(d)=
4.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
(a)6
(b)12
(c)36
(d)21
5.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.
(a)2/6
(b)2/9
(c)2/3
(d)1/9
6.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.
(a)10 °C
(b)3 °C
(c)8 °C
(d)7 °C
7.Work out 6² − 4².
(a)2
(b)52
(c)20
(d)4
8.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35
(a)0.35, 3/8, 0.4
(b)3/8, 0.35, 0.4
(c)0.4, 3/8, 0.35
(d)0.35, 0.4, 3/8
9.Write the fraction 3/4 as a decimal.
(a)0.7
(b)0.34
(c)0.75
(d)0.25
10.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
(a)707
(b)700
(c)693
(d)699
11.Work out (−36) ÷ (−6) × 2
(a)3
(b)6
(c)12
(d)−12
12.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.
(a)7
(b)0.07
(c)70
(d)0.7
13.Write 260,000 in standard form.
(a)2.6 × 10⁶
(b)26 × 10⁴
(c)2.6 × 10⁵
(d)0.26 × 10⁶
14.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
(a)2/3
(b)4/9
(c)2/5
(d)1/3
15.Work out (−2)² − 3
(a)−7
(b)1
(c)25
(d)−1

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