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.

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 Foundation

Maths · GCSE Foundation · Number · 15 questions

MathsUKwww.geekhero.co.uk

1.Write 90 as a product of its prime factors.
(a)2 × 3² × 5
(b)2 × 45
(c)2 × 3 × 15
(d)3 × 3 × 10
2.Work out 100 − 4 × 5²
(a)0
(b)2400
(c)60
(d)−300
3.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.
(a)651.35 kg
(b)0.70 kg
(c)2.00 kg
(d)7.85 kg
4.Work out the highest common factor of 12 and 18.
(a)2
(b)6
(c)36
(d)3
5.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.
(a)5/9
(b)3/5
(c)1/3
(d)4/15
6.4ˣ = 64. Work out the value of x.
(a)16
(b)3
(c)4
(d)6
7.Work out ∛64.
(a)21.3
(b)4
(c)192
(d)8
8.Work out 0.6 × 0.04.
(a)2.4
(b)0.24
(c)0.024
(d)0.0024
9.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?
(a)Sam should have written 0.070
(b)Sam should have written 0.0704
(c)Sam is correct
(d)Sam should have written 0.0702
10.Write 200 as a product of its prime factors, using index notation.
(a)2 × 5³
(b)2³ × 5
(c)2² × 5³
(d)2³ × 5²
11.Work out the value of 2⁻²
(a)4
(b)−4
(c)1/4
(d)−1/4
12.Work out √225 ÷ 3.
(a)8.7
(b)5
(c)75
(d)45
13.Work out √25 + 4² − 12 ÷ 3
(a)9
(b)17
(c)3
(d)37
14.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
(a)40
(b)11
(c)10
(d)20
15.Work out 6² − 4².
(a)2
(b)52
(c)20
(d)4

Build your own mix at the worksheet builder.