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.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
2.Work out 10% of 30% of £200.
(a)£60
(b)£80
(c)£20
(d)£6
3.A courier's van has a weight limit of 850 kg for its parcels. The driver's display shows the total mass of the parcels loaded as 850 kg, correct to the nearest 5 kg. Decide whether the parcels are definitely within the weight limit.
(a)Yes, the true mass is at least 847.5 kg and at most 850 kg
(b)No, the true mass could be as high as 852.5 kg
(c)Yes, the display reads 850 kg, which is not above the limit
(d)No, 850 kg on the display rounds up to 855 kg
4.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.
(a)10
(b)8
(c)11
(d)12
5.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
6.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
(a)£18
(b)£8
(c)£138
(d)£12
7.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.
(a)27
(b)12
(c)9
(d)24
8.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.
(a)2
(b)3
(c)4
(d)6
9.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
10.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
11.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
(a)40
(b)60
(c)72
(d)120
12.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
13.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.
(a)8.35 ≤ L < 8.45
(b)8.4 ≤ L < 8.5
(c)8.3 ≤ L < 8.5
(d)8.35 < L ≤ 8.45
14.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
15.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.
(a)6 × 10³
(b)5 × 10⁷
(c)6 × 10¹⁰
(d)6 × 10⁷

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