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.

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 Foundation

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

MathsUKwww.geekhero.co.uk

1.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
2.Work out 6² − 4².
(a)2
(b)52
(c)20
(d)4
3.Work out √25 + 4² − 12 ÷ 3
(a)9
(b)17
(c)3
(d)37
4.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
(a)(12 + 12π) cm
(b)3π cm
(c)(12 + 3π) cm
(d)(6 + 3π) cm
5.Work out √225 ÷ 3.
(a)8.7
(b)5
(c)75
(d)45
6.Work out ⁴√16
(a)4
(b)8
(c)64
(d)2
7.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.
8.Work out the value of √64.
(a)16
(b)4
(c)32
(d)8
9.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.
(a)11
(b)10
(c)6
(d)36
10.Round 0.006852 to 2 significant figures.
(a)0.0069
(b)0.0068
(c)0.007
(d)0.00685
11.Which of these numbers lies between −4 and −1 on a number line?
(a)−5
(b)2
(c)0
(d)−2
12.Work out (−2)² − 3
(a)−7
(b)1
(c)25
(d)−1
13.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?
(a)2/7
(b)7/5
(c)5/2
(d)5/7
14.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
15.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?
(a)3/4
(b)3/7
(c)7/3
(d)4/7

Build your own mix at the worksheet builder.