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.Work out 250 ÷ 1000.
(a)25
(b)0.025
(c)2.5
(d)0.25
2.Work out the value of 5³.
(a)8
(b)53
(c)125
(d)15
3.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.
(a)4:3
(b)1:1
(c)3:4
(d)3:7
4.Work out the highest common factor of 20 and 32.
(a)8
(b)4
(c)2
(d)160
5.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.
(a)11.5 ≤ L < 12.5
(b)11.5 < L < 12.5
(c)11 ≤ L < 13
(d)11.5 ≤ L ≤ 12.5
6.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.
(a)6,300,000
(b)8,000,000
(c)6,390,000
(d)6,000,000
7.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
(a)25
(b)−5
(c)1
(d)−35
8.Write down the symbol that makes this statement true: −9 ___ −4
(a)≥
(b)>
(c)<
(d)=
9.Write down the value of 3⁰
(a)3
(b)0
(c)1/3
(d)1
10.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
(a)to the nearest centimetre
(b)to 1 decimal place
(c)to the nearest 0.5 cm
(d)to the nearest 10 cm
11.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
(a)6 × 10¹
(b)6 × 10¹²
(c)5 × 10⁷
(d)6 × 10⁷
12.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
(a)20
(b)19
(c)17
(d)200
13.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².
(a)49
(b)14
(c)9
(d)77
14.Write 260,000 in standard form.
(a)2.6 × 10⁶
(b)26 × 10⁴
(c)2.6 × 10⁵
(d)0.26 × 10⁶
15.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
(a)600
(b)750,000,000
(c)7,500,000,000
(d)0.000000075

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