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.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.
- 2.Write 5,000,000 in standard form.
- 3.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.
- 4.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 5.Write 0.005 in standard form.
- 6.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 7.Work out 35% of 180.
- 8.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.
- 9.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
- 10.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20
- 11.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 12.Work out the value of 2⁻⁴
- 13.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.
- 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.Work out 3 × (−2)² − 5
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