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.

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Number worksheet — GCSE Foundation

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

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1.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
(a)1/16
(b)1/8
(c)15/16
(d)3/16
2.Work out the value of √49 + ∛27
(a)10
(b)34
(c)16
(d)21
3.Work out 100 − 4 × 5²
(a)0
(b)2400
(c)60
(d)−300
4.Work out 2⁵.
(a)10
(b)16
(c)32
(d)25
5.Work out ⁴√16
(a)4
(b)8
(c)64
(d)2
6.Round 0.0759 to 2 decimal places.
(a)0.08
(b)0.07
(c)0.076
(d)0.1
7.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
(a)6
(b)12
(c)36
(d)21
8.Write the fraction 3/4 as a decimal.
(a)0.7
(b)0.34
(c)0.75
(d)0.25
9.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
(a)1725 ml
(b)50 ml
(c)2550 ml
(d)1050 ml
10.Work out the value of √64.
(a)16
(b)4
(c)32
(d)8
11.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.
(a)10 °C
(b)3 °C
(c)8 °C
(d)7 °C
12.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.
(a)(60 + 3π) cm²
(b)(60 + 4.5π) cm²
(c)(60 + 9π) cm²
(d)(60 + 18π) cm²
13.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
(a)42.5 ≤ t < 47.5
(b)40 ≤ t < 50
(c)42.5 ≤ t ≤ 47.5
(d)44.5 ≤ t < 45.5
14.Work out the value of √(16 + 9)
(a)5
(b)12
(c)7
(d)−5
15.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.
(a)3200
(b)2400
(c)120
(d)3108

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