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.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 2.Work out 3³ + 2⁴.
- 3.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
- 4.Work out ⁴√81
- 5.Write ∛(x²) as a single power of x.
- 6.Write down the symbol that makes this statement true: −2/3 ___ −5/6
- 7.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 8.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.
- 9.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.
- 10.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.
- 11.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 12.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?
- 13.Estimate the value of √45, giving your answer to the nearest whole number.
- 14.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.
- 15.Work out how many factors 100 has.
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