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 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
2.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
(a)0.0485
(b)0.052
(c)0.0479
(d)0.04
3.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.
(a)£45
(b)£37
(c)£25
(d)£22
4.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
5.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
6.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.
(a)6 × 10³
(b)5 × 10⁷
(c)6 × 10¹⁰
(d)6 × 10⁷
7.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.
(a)6 × 10² metres
(b)6 × 10¹⁴ metres
(c)6 × 10⁻⁴⁸ metres
(d)5 × 10² metres
8.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
9.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
10.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
(a)300 N/m²
(b)3000 N/m²
(c)192 N/m²
(d)30 N/m²
11.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
(a)1.2 × 10⁶
(b)3 × 10⁷
(c)3 × 10⁶
(d)1.03 × 10⁴
12.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
13.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
(a)1 × 10³
(b)2.5 × 10⁻⁶
(c)2.5 × 10⁶
(d)2.5 × 10²
14.Which of these is written correctly in standard form?
(a)7.5 × 10⁴
(b)12 × 10³
(c)6.2 × 4⁵
(d)0.5 × 10⁴
15.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

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