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.Work out (−2)³ + (−3)² − (−4)
(a)5
(b)−13
(c)−3
(d)21
2.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
(a)270 cm²
(b)27 cm²
(c)2700 cm²
(d)27000 cm²
3.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
4.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.
(a)2/5
(b)3/5
(c)3/10
(d)1/5
5.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.
(a)£58.52
(b)£9.20
(c)£8.20
(d)£7.50
6.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
(a)30, which is not prime
(b)31, which is not prime because 31 = 1 × 31
(c)31, which is not prime because it is a multiple of 3
(d)31, which is prime
7.Round 4,685 to the nearest 100.
(a)5,000
(b)4,700
(c)4,600
(d)4,690
8.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?
(a)−4.5 °C
(b)−3.8 °C
(c)−4.05 °C
(d)2 °C
9.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
(a)4 × 10⁸
(b)4 × 10¹²
(c)4 × 10⁴
(d)6 × 10⁴
10.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.
(a)18
(b)4
(c)24
(d)36
11.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.
(a)25π cm
(b)5π cm
(c)20π cm
(d)10π cm
12.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
13.Is 120 divisible by 5? Give a reason for your answer.
(a)Yes, because 120 ends in 0
(b)No, because 1 + 2 + 0 = 3 is not a multiple of 5
(c)Yes, because 120 is even
(d)No, because 5 does not divide into 12
14.Work out ∛(−27) + ∛8
(a)5
(b)−5
(c)−1
(d)−6
15.Work out 5/6 × 2/9, giving your answer in its simplest form.
(a)7/15
(b)5/27
(c)15/4
(d)5/3

Build your own mix at the worksheet builder.