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 '3.2 million' as a number in figures.
(a)320,000
(b)3,002,000
(c)32,000,000
(d)3,200,000
2.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.
(a)4π cm²
(b)8π cm²
(c)16π cm²
(d)32π cm²
3.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
4.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.
(a)Yes — Priya's jump could have been up to 3.9 m
(b)No — their possible jump lengths do not overlap
(c)Yes — both jumps could have been 3.85 m
(d)No — a recorded jump is exactly the length jumped
5.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.
(a)17/12
(b)1/2
(c)8/9
(d)2
6.Work out √49
(a)9
(b)24.5
(c)7
(d)2401
7.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
(a)300
(b)307
(c)450
(d)3,000
8.Work out −(−3)⁴ + (−3)³
(a)−108
(b)54
(c)−54
(d)108
9.Write 45,000 in standard form.
(a)4.5 × 10⁴
(b)45 × 10³
(c)4.5 × 10⁵
(d)4.5 × 10³
10.Find the missing number: 17 × ▢ = 391
(a)23
(b)374
(c)17
(d)6647
11.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
(a)−3
(b)4
(c)3
(d)2
12.Work out 2/5 + 1/4, giving your answer in its simplest form.
(a)3/20
(b)13/40
(c)1/3
(d)13/20
13.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
14.Write 60 as a product of its prime factors, using index notation.
(a)2 × 3 × 5
(b)2² × 3 × 5
(c)2 × 3 × 5²
(d)2² × 3² × 5
15.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
(a)20
(b)19
(c)17
(d)200

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