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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.Work out 6² − 4².
- 2.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.
- 3.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
- 4.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 5.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 6.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 7.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.
- 8.Write down the reciprocal of 0.2
- 9.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 10.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.
- 11.Write 5,000,000 in standard form.
- 12.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.
- 13.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 14.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
- 15.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.
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