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.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
(a)1 × 10³
(b)2.5 × 10⁻⁶
(c)2.5 × 10⁶
(d)2.5 × 10²
2.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.
(a)18
(b)23
(c)22
(d)24
3.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.
(a)33.5 mph
(b)33 mph
(c)34.5 mph
(d)34 mph
4.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?
(a)1,850
(b)1,799
(c)1,760
(d)1,750
5.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
6.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
(a)8.15 ≤ y < 8.25
(b)8.15 < y < 8.25
(c)8.1 ≤ y < 8.2
(d)8.2 ≤ y < 8.3
7.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.
(a)£600
(b)£400
(c)£561
(d)£570
8.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
9.Which of these is written correctly in standard form?
(a)7.5 × 10⁴
(b)12 × 10³
(c)6.2 × 4⁵
(d)0.5 × 10⁴
10.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
(a)4 × 10⁸
(b)4 × 10¹²
(c)4 × 10⁴
(d)6 × 10⁴
11.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
12.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
(a)0.55, 58%, 3/5
(b)58%, 0.55, 3/5
(c)3/5, 0.55, 58%
(d)3/5, 58%, 0.55
13.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.
(a)£819
(b)£840
(c)£60
(d)£800
14.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
15.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

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