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.

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 · 15 questions

MathsUKwww.geekhero.co.uk

1.4ˣ = 64. Work out the value of x.
(a)16
(b)3
(c)4
(d)6
2.Simplify √45.
(a)9√5
(b)6√5
(c)15
(d)3√5
3.Work out the value of 2⁻²
(a)4
(b)−4
(c)1/4
(d)−1/4
4.Work out √25 + 4² − 12 ÷ 3
(a)9
(b)17
(c)3
(d)37
5.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.
(a)9 × 10¹³
(b)9 × 10⁶
(c)6.3 × 10⁷
(d)9 × 10⁷
6.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
(a)3/13
(b)4/39
(c)1/3
(d)9/13
7.Work out 3 × (−2)² − 5
(a)7
(b)−3
(c)31
(d)−17
8.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.
(a)200 m
(b)1050 m
(c)150 m
(d)50 m
9.Work out 10% of 30% of £200.
(a)£60
(b)£80
(c)£20
(d)£6
10.Find the missing number: 17 × ▢ = 391
(a)23
(b)374
(c)17
(d)6647
11.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.
(a)30
(b)1000
(c)120
(d)720
12.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22
13.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.
(a)8.35 ≤ L < 8.45
(b)8.4 ≤ L < 8.5
(c)8.3 ≤ L < 8.5
(d)8.35 < L ≤ 8.45
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 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

Build your own mix at the worksheet builder.