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.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
- 2.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.
- 3.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 4.A rectangular garden has a length of 12.4 m and a width of 7.5 m, each measured correct to 1 decimal place. Calculate the upper bound for the area of the garden.
- 5.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.
- 6.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
- 7.Which of these is written correctly in standard form?
- 8.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.
- 9.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.
- 10.Given that 2⁵ = 32, work out 2⁶.
- 11.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?
- 12.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.
- 13.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
- 14.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.
- 15.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
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