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 · Calculator · 15 questions

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1.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.
(a)£177.60
(b)£444.00
(c)£88.80
(d)£266.40
2.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
(a)54
(b)126
(c)150
(d)30
3.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?
(a)−4.5 °C
(b)−3.8 °C
(c)−4.05 °C
(d)2 °C
4.Which of these is written correctly in standard form?
(a)7.5 × 10⁴
(b)12 × 10³
(c)6.2 × 4⁵
(d)0.5 × 10⁴
5.Round 6.283 to 1 significant figure.
(a)10
(b)6.3
(c)6
(d)0.6
6.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
(a)27/20
(b)17/50
(c)27/5
(d)27/80
7.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.
(a)31/50
(b)25/4
(c)5/8
(d)8/5
8.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
(a)1/4
(b)1/3
(c)3/4
(d)1/5
9.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
10.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
(a)£18
(b)£8
(c)£138
(d)£12
11.2/3 of an amount of money is £30. Work out the amount.
(a)£15
(b)£45
(c)£20
(d)£90
12.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.
(a)£13.47
(b)£13.48
(c)£13.50
(d)£13.40
13.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.
(a)8.35 ≤ L < 8.45
(b)8.4 ≤ L < 8.5
(c)8.3 ≤ L < 8.5
(d)8.35 < L ≤ 8.45
14.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
(a)1/2, 3/5, 2/3, 5/6
(b)5/6, 2/3, 3/5, 1/2
(c)1/2, 3/5, 5/6, 2/3
(d)1/2, 2/3, 3/5, 5/6
15.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
(a)28.3 cm²
(b)28.26 cm²
(c)9π cm²
(d)27 cm²

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