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 · 15 questions

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1.Work out the reciprocal of (2 + 3)
(a)1/5
(b)5/6
(c)5
(d)−1/5
2.Work out the value of 5³.
(a)8
(b)53
(c)125
(d)15
3.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.
(a)240 ≤ m < 250
(b)245 ≤ m < 255
(c)245 < m ≤ 255
(d)240 ≤ m < 260
4.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.
(a)20
(b)200
(c)19
(d)2
5.Work out −6 × (−3).
(a)−18
(b)18
(c)−9
(d)9
6.Write 0.00072 in standard form.
(a)7.2 × 10⁻⁴
(b)7.2 × 10⁴
(c)0.72 × 10⁻³
(d)7.2 × 10⁻⁵
7.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.
(a)9 °C
(b)6 °C
(c)3 °C
(d)−9 °C
8.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
(a)4 × 10⁸
(b)4 × 10¹²
(c)4 × 10⁴
(d)6 × 10⁴
9.Work out the value of ∛8.
(a)24
(b)2
(c)4
(d)64
10.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
11.Work out √49
(a)9
(b)24.5
(c)7
(d)2401
12.Work out 3 + 4 × (−2).
(a)−8
(b)−5
(c)−14
(d)11
13.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
(a)54
(b)126
(c)150
(d)30
14.Round 4,685 to the nearest 100.
(a)5,000
(b)4,700
(c)4,600
(d)4,690
15.Round 0.006482 to 2 significant figures.
(a)0.01
(b)0.00648
(c)0.0065
(d)0.006

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