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.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
(a)12
(b)6
(c)16
(d)8
2.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
(a)183.75 mph
(b)52.5 mph
(c)72.4 mph
(d)60 mph
3.Write down the reciprocal of 0.2
(a)−0.2
(b)0.8
(c)5
(d)0.5
4.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
(a)−11
(b)−1
(c)−5
(d)11
5.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
(a)6.1 < x ≤ 6.2
(b)6.2 ≤ x < 6.3
(c)6.2 ≤ x ≤ 6.3
(d)6.15 ≤ x < 6.25
6.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
(a)0.0485
(b)0.052
(c)0.0479
(d)0.04
7.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.
(a)£27.00
(b)£15.00
(c)£9.00
(d)£33.00
8.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
(a)2 : 3
(b)1 : 2
(c)4 : 5
(d)2 : 1
9.Work out the value of √49 + ∛27
(a)10
(b)34
(c)16
(d)21
10.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.
(a)6 × 10² metres
(b)6 × 10¹⁴ metres
(c)6 × 10⁻⁴⁸ metres
(d)5 × 10² metres
11.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.
(a)6200
(b)5928
(c)6000
(d)600
12.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.
(a)3
(b)5
(c)6
(d)2
13.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
(a)720
(b)800,000,000
(c)8,000,000,000
(d)0.000000008
14.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.
(a)5
(b)20/9
(c)5/3
(d)2
15.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

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