Printable · GCSE Higher · ages 14-16

Number worksheet — GCSE Higher

Fifteen questions across the number statements at Higher 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 Higher

Maths · GCSE Higher · Number · Calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
(a)25
(b)120
(c)60
(d)720
2.A car travels 100 km, correct to the nearest km, in a time of 2 hours, correct to the nearest 0.1 hour. Work out the average speed, in km/h, to the greatest degree of accuracy the bounds can guarantee.
(a)49 km/h
(b)48.54 km/h
(c)52 km/h
(d)50 km/h
3.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.
(a)180
(b)22
(c)360
(d)405
4.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
(a)27/20
(b)17/50
(c)27/5
(d)27/80
5.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
(a)£7.20
(b)£10.05
(c)£0.45
(d)£1.45
6.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
(a)3.84 × 10⁵
(b)3.84 × 10⁶
(c)3.84 × 10⁻⁵
(d)38.4 × 10⁴
7.The radius of a circular pond is given as 3.2 m, correct to 1 decimal place. Calculate the upper bound for the area of the pond, giving your answer correct to 3 significant figures.
(a)33.2
(b)31.2
(c)32.2
(d)10.2
8.Work out the value of $2^{3} + 3^{2}$ .
(a)17
(b)72
(c)12
(d)−1
9.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
(a)28.8 km/h
(b)0.48 km/h
(c)2.22 km/h
(d)28 800 km/h
10.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
(a)3.2 × 10⁴, 4.1 × 10³, 2.9 × 10⁵
(b)2.9 × 10⁵, 3.2 × 10⁴, 4.1 × 10³
(c)4.1 × 10³, 3.2 × 10⁴, 2.9 × 10⁵
(d)4.1 × 10³, 2.9 × 10⁵, 3.2 × 10⁴
11.After a price increase of 10%, a laptop costs £330. Work out the original price.
(a)£3,300
(b)£300
(c)£363
(d)£297
12.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
(a)28.3 cm²
(b)28.26 cm²
(c)9π cm²
(d)27 cm²
13.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
14.Which of these is written correctly in standard form?
(a)7.5 × 10⁴
(b)12 × 10³
(c)6.2 × 4⁵
(d)0.5 × 10⁴
15.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.
(a)8 litres per minute
(b)0.125 litres per minute
(c)8.7 litres per minute
(d)10 litres per minute

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