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.Which statement about the number 91 is correct?
(a)91 is not prime, because 91 = 7 × 13.
(b)91 is prime, because it is not divisible by 2, 3 or 5.
(c)91 is not prime, because it is divisible by 3.
(d)91 is prime, because it is an odd number ending in 1.
2.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
(a)7/20, 32%, 0.3
(b)0.3, 32%, 7/20
(c)0.3, 7/20, 32%
(d)32%, 0.3, 7/20
3.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
4.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.
(a)1,029
(b)1,500
(c)800
(d)1,000
5.Write 0.45 as a fraction in its simplest form.
(a)9/20
(b)9/2
(c)9/100
(d)9/200
6.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.
(a)(60 + 3π) cm²
(b)(60 + 4.5π) cm²
(c)(60 + 9π) cm²
(d)(60 + 18π) cm²
7.Work out 3π − π, giving your answer as a multiple of π.
(a)2
(b)2π
(c)4π
(d)3
8.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
(a)1/2
(b)43/30
(c)18/25
(d)25/36
9.Work out (−36) ÷ (−6) × 2
(a)3
(b)6
(c)12
(d)−12
10.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?
(a)1.4 ≤ m < 1.6
(b)1.45 ≤ m < 1.55
(c)1.45 < m ≤ 1.55
(d)1.45 ≤ m ≤ 1.55
11.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
12.Work out (5 + 2) × 3²
(a)147
(b)63
(c)23
(d)441
13.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?
(a)4/9
(b)5/7
(c)3/4
(d)5/9
14.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.
(a)1 3/4
(b)2 5/12
(c)8
(d)1 7/12
15.Round 0.006852 to 2 significant figures.
(a)0.0069
(b)0.0068
(c)0.007
(d)0.00685

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