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

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1.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
2.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.
(a)9 hours 35 minutes
(b)7 hours 35 minutes
(c)8 hours 35 minutes
(d)15 hours 25 minutes
3.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.
(a)£40
(b)£192
(c)£200
(d)£120
4.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.
(a)7
(b)3
(c)1
(d)6
5.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.
(a)24.7
(b)24.685
(c)24.68
(d)24.69
6.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.
(a)22.5 kg
(b)23 kg
(c)22 kg
(d)23.5 kg
7.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.
(a)7 × 10⁻⁴
(b)7 × 10⁻⁶
(c)7 × 10⁻⁸
(d)7 × 10⁻⁵
8.Work out 35% of 180.
(a)45
(b)63
(c)145
(d)126
9.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
(a)the nearest whole number
(b)it cannot be given to any degree of accuracy
(c)the nearest 0.1
(d)the nearest 10
10.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.
(a)6
(b)5
(c)9
(d)3
11.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
(a)1500 km/h
(b)90 km/h
(c)90000 km/h
(d)6.9 km/h
12.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
13.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.
(a)£48.00
(b)£52.00
(c)£47.00
(d)£40.00
14.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
15.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.
(a)5.8
(b)6
(c)5
(d)343

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