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 0.325 as a fraction in its simplest form.
(a)13/40
(b)3/8
(c)8/25
(d)13/4
2.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
(a)£12.75
(b)£8.25
(c)£7.25
(d)£7.75
3.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
(a)0.5, 0.55, 0.56, 0.6, 0.601
(b)0.5, 0.56, 0.55, 0.6, 0.601
(c)0.5, 0.6, 0.55, 0.56, 0.601
(d)0.601, 0.6, 0.56, 0.55, 0.5
4.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
(a)6 × 10¹
(b)6 × 10¹²
(c)5 × 10⁷
(d)6 × 10⁷
5.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
(a)4,000 nanometres
(b)4 nanometres
(c)400 nanometres
(d)0.004 nanometres
6.Work out 5/6 × 2/9, giving your answer in its simplest form.
(a)7/15
(b)5/27
(c)15/4
(d)5/3
7.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
(a)900 kg/m³
(b)0.0009 kg/m³
(c)0.09 kg/m³
(d)900 000 kg/m³
8.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
9.Work out 3π − π, giving your answer as a multiple of π.
(a)2
(b)2π
(c)4π
(d)3
10.Work out the highest common factor of 20 and 32.
(a)8
(b)4
(c)2
(d)160
11.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?
(a)the third mark after 0
(b)the second mark after 0
(c)the fourth mark after 0
(d)the first mark after 0
12.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.
(a)35
(b)105
(c)25
(d)70
13.Work out (−6) + (−4) × 3
(a)−30
(b)−18
(c)18
(d)6
14.Write down the reciprocal of 0.2
(a)−0.2
(b)0.8
(c)5
(d)0.5
15.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
(a)2, 3, 4, 5
(b)3, 4, 5
(c)1, 2, 3, 4, 5
(d)2, 3, 4, 5, 6

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