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.

Non-calculator

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Number worksheet — GCSE Higher

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

MathsUKwww.geekhero.co.uk

1.Write 12 as a product of its prime factors.
(a)2² × 3
(b)2 × 3²
(c)2 × 3
(d)2 × 6
2.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
(a)12
(b)7
(c)20
(d)5
3.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
(a)40
(b)60
(c)72
(d)120
4.Find the missing number: 17 × ▢ = 391
(a)23
(b)374
(c)17
(d)6647
5.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
(a)6
(b)72
(c)60
(d)12
6.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
7.Work out the reciprocal of (2 + 3)
(a)1/5
(b)5/6
(c)5
(d)−1/5
8.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
(a)−11
(b)−1
(c)−5
(d)11
9.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
(a)2 : 3
(b)1 : 2
(c)4 : 5
(d)2 : 1
10.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
(a)55
(b)54
(c)59
(d)54.7
11.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
(a)3/7
(b)7/3
(c)7/10
(d)3/10
12.Find the missing number: ▢ ÷ 15 = 24
(a)360
(b)39
(c)9
(d)1.6
13.Round 592.5 to the nearest 10.
(a)600
(b)500
(c)590
(d)595
14.Write 0.325 as a fraction in its simplest form.
(a)13/40
(b)3/8
(c)8/25
(d)13/4
15.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.
(a)180
(b)22
(c)360
(d)405

Build your own mix at the worksheet builder.