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.A country has an area of 25,000,000 hectares. Write this area in standard form.
(a)2.5 × 10⁷
(b)2.5 × 10⁸
(c)25 × 10⁶
(d)2.5 × 10⁻⁷
2.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
(a)28.8 km/h
(b)0.48 km/h
(c)2.22 km/h
(d)28 800 km/h
3.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
(a)1500 km/h
(b)90 km/h
(c)90000 km/h
(d)6.9 km/h
4.In the number 3.472, work out the value of the digit 7.
(a)0.007
(b)0.7
(c)0.07
(d)7
5.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
6.Write down the value of 3⁰
(a)3
(b)0
(c)1/3
(d)1
7.Work out −4.5 + 2.8.
(a)1.7
(b)−7.3
(c)−2.3
(d)−1.7
8.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
(a)3.2 × 10⁴, 4.1 × 10³, 2.9 × 10⁵
(b)2.9 × 10⁵, 3.2 × 10⁴, 4.1 × 10³
(c)4.1 × 10³, 3.2 × 10⁴, 2.9 × 10⁵
(d)4.1 × 10³, 2.9 × 10⁵, 3.2 × 10⁴
9.Write the fraction 47/50 as a decimal.
(a)0.094
(b)4.7
(c)0.94
(d)0.47
10.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.
(a)235 ≤ n ≤ 245
(b)235 ≤ n < 245
(c)230 ≤ n < 250
(d)239.5 ≤ n < 240.5
11.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
12.Simplify x⁶ ÷ x²
(a)x¹²
(b)x³
(c)x⁸
(d)x⁴
13.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
14.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.
(a)5/4
(b)3/4
(c)3/2
(d)3/8
15.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?
(a)£4.55
(b)£4.50
(c)£4.65
(d)£4.80

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