Printable · GCSE Higher · ages 14-16

Number worksheet — GCSE Higher

Fifteen questions across the number statements at Higher 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 Higher

Maths · GCSE Higher · Number · Non-calculator · 15 questions

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1.Which statement about the number 91 is correct?
(a)91 is not prime, because 91 = 7 × 13.
(b)91 is prime, because it is not divisible by 2, 3 or 5.
(c)91 is not prime, because it is divisible by 3.
(d)91 is prime, because it is an odd number ending in 1.
2.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.
(a)18
(b)23
(c)22
(d)24
3.√700 lies between which two consecutive integers?
(a)35 and 36
(b)7 and 8
(c)25 and 26
(d)26 and 27
4.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
(a)90
(b)20
(c)45
(d)55
5.Work out √225 ÷ 3.
(a)8.7
(b)5
(c)75
(d)45
6.Work out 5⁰ + 5¹ + 5²
(a)125
(b)30
(c)31
(d)35
7.Work out 6² − 4².
(a)2
(b)52
(c)20
(d)4
8.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.
(a)£65
(b)£67.50
(c)£60
(d)£70
9.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
(a)12.25 ≤ t < 12.35
(b)12.3 < t ≤ 12.4
(c)12.3 ≤ t < 12.4
(d)12.3 ≤ t ≤ 12.4
10.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
(a)20
(b)19
(c)17
(d)200
11.Work out the value of √(16 + 9)
(a)5
(b)12
(c)7
(d)−5
12.Write 0.875 as a fraction in its simplest form.
(a)7/8
(b)7/80
(c)9/10
(d)8/7
13.Write 7/12 as a decimal, showing clearly which digit is recurring.
(a)0.588888...
(b)0.58333...
(c)0.585858...
(d)0.58
14.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.
(a)24
(b)12
(c)48
(d)96
15.Work out (−36) ÷ (−6) × 2
(a)3
(b)6
(c)12
(d)−12

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