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 · Non-calculator · 15 questions

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1.Work out √144
(a)72
(b)36
(c)12
(d)14
2.Work out (−36) ÷ (−6) × 2
(a)3
(b)6
(c)12
(d)−12
3.Work out the value of 6² − 4³.
(a)100
(b)28
(c)−28
(d)0
4.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
(a)12
(b)6
(c)16
(d)8
5.Work out −(−3)⁴ + (−3)³
(a)−108
(b)54
(c)−54
(d)108
6.Work out the lowest common multiple of 4 and 6.
(a)12
(b)2
(c)6
(d)24
7.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
8.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
9.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.
(a)5 : 3
(b)3 : 8
(c)3 : 5
(d)8 : 3
10.4ˣ = 64. Work out the value of x.
(a)16
(b)3
(c)4
(d)6
11.Work out 3/8 of 96.
(a)72
(b)12
(c)32
(d)36
12.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.
(a)2/5
(b)3/5
(c)3/10
(d)1/5
13.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.
(a)2
(b)3
(c)4
(d)6
14.Work out 6² − 4².
(a)2
(b)52
(c)20
(d)4
15.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?
(a)−15 °C
(b)−1 °C
(c)−7 °C
(d)0 °C

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