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 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
2.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
(a)4 × 10⁸
(b)4 × 10¹²
(c)4 × 10⁴
(d)6 × 10⁴
3.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.
(a)54 hours
(b)78 hours
(c)66 hours
(d)96 hours
4.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.
(a)11
(b)8
(c)12
(d)9
5.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.
(a)200 g
(b)128 g
(c)240 g
(d)40 g
6.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
(a)1725 ml
(b)50 ml
(c)2550 ml
(d)1050 ml
7.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.
(a)651.35 kg
(b)0.70 kg
(c)2.00 kg
(d)7.85 kg
8.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.
(a)£600
(b)£400
(c)£561
(d)£570
9.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
(a)3
(b)30
(c)25
(d)24
10.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.
(a)6,300,000
(b)8,000,000
(c)6,390,000
(d)6,000,000
11.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.
(a)25
(b)9
(c)20
(d)10
12.Write 0.0038 in standard form.
(a)3.8 × 10⁻³
(b)38 × 10⁻⁴
(c)3.8 × 10⁻⁴
(d)3.8 × 10³
13.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.
(a)£48.00
(b)£52.00
(c)£47.00
(d)£40.00
14.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.
(a)7 × 10⁻⁴
(b)7 × 10⁻⁶
(c)7 × 10⁻⁸
(d)7 × 10⁻⁵
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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