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 36 ÷ (2 × 3)
(a)216
(b)54
(c)6
(d)18
2.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
3.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.
(a)3200
(b)2400
(c)120
(d)3108
4.Work out −(−3)⁴ + (−3)³
(a)−108
(b)54
(c)−54
(d)108
5.Which of these decimals lies between 1/4 and 2/5?
(a)0.45
(b)0.2
(c)0.5
(d)0.3
6.Work out the value of √49 + ∛27
(a)10
(b)34
(c)16
(d)21
7.Work out the value of 2⁻⁴
(a)16
(b)−16
(c)1/8
(d)1/16
8.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.
(a)£6.66
(b)£8
(c)£7.60
(d)£7.40
9.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
(a)12
(b)6
(c)16
(d)8
10.Work out (3 × 5)²
(a)225
(b)30
(c)75
(d)34
11.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
12.Find the missing number: 17 × ▢ = 391
(a)23
(b)374
(c)17
(d)6647
13.Which of these numbers is a common factor of 18 and 24?
(a)6
(b)8
(c)12
(d)9
14.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
(a)720
(b)800,000,000
(c)8,000,000,000
(d)0.000000008
15.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

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