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

MathsUKwww.geekhero.co.uk

1.Which of these numbers lies between −8 and −5 on a number line?
(a)−9
(b)6
(c)−4
(d)−6
2.Work out (−2)³ + (−3)² − (−4)
(a)5
(b)−13
(c)−3
(d)21
3.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
(a)to the nearest centimetre
(b)to 1 decimal place
(c)to the nearest 0.5 cm
(d)to the nearest 10 cm
4.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.
(a)1 hour 24 minutes
(b)2 hours 24 minutes
(c)2 hours 36 minutes
(d)1 hour 36 minutes
5.Which one of these statements about negative numbers is true?
(a)−3 > 0
(b)0 > −1
(c)0 < −1
(d)−5 > −3
6.2/3 of an amount of money is £30. Work out the amount.
(a)£15
(b)£45
(c)£20
(d)£90
7.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.
(a)5
(b)20/9
(c)5/3
(d)2
8.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
(a)600
(b)750,000,000
(c)7,500,000,000
(d)0.000000075
9.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
(a)3⁷
(b)3³
(c)3⁻³
(d)3¹⁰
10.Write 0.36 as a fraction in its simplest form.
(a)36/10
(b)9/25
(c)9/50
(d)3/10
11.Work out 6² − 4².
(a)2
(b)52
(c)20
(d)4
12.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.
(a)6
(b)5
(c)9
(d)3
13.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
14.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
15.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
(a)2/3
(b)4/9
(c)2/5
(d)1/3

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