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
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- 1.Write 12 as a product of its prime factors.
- 2.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.
- 3.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.
- 4.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 5.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
- 6.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.
- 7.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 8.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.
- 9.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
- 10.Work out 3 + 4 × (−2).
- 11.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 12.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 13.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 14.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.
- 15.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
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