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 weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.
(a)13 °C
(b)5 °C
(c)−1 °C
(d)8 °C
2.Work out −6 × (−3).
(a)−18
(b)18
(c)−9
(d)9
3.4ˣ = 64. Work out the value of x.
(a)16
(b)3
(c)4
(d)6
4.Estimate the value of √45, giving your answer to the nearest whole number.
(a)2,025
(b)7
(c)6
(d)22.5
5.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
(a)40
(b)11
(c)10
(d)20
6.Work out 5 + 3 × (9 − 6)
(a)14
(b)24
(c)9
(d)26
7.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
(a)0.11 g/cm³
(b)9 g/cm³
(c)480 g/cm³
(d)32400 g/cm³
8.Work out the highest common factor of 12 and 18.
(a)2
(b)6
(c)36
(d)3
9.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.
(a)5.25 litres
(b)401.25 litres
(c)0.85 litres
(d)1.65 litres
10.Which of these numbers lies between −8 and −5 on a number line?
(a)−9
(b)6
(c)−4
(d)−6
11.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².
(a)14
(b)25
(c)49
(d)12
12.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.
(a)2:9
(b)7:2
(c)2:7
(d)7:9
13.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
(a)An over-estimate, by 19
(b)Neither — the estimate is exactly right
(c)An under-estimate, by 8
(d)An over-estimate, by 8
14.Write 12 as a product of its prime factors.
(a)2² × 3
(b)2 × 3²
(c)2 × 3
(d)2 × 6
15.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.
(a)7/9
(b)2/7
(c)7/2
(d)2/9

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