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
MathsUKwww.geekhero.co.uk
- 1.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
- 2.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 3.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.
- 4.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.
- 5.Simplify ⁴√(16a⁸b¹²)
- 6.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
- 7.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 8.Work out the value of 6² − 4³.
- 9.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
- 10.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
- 11.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 12.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
- 13.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 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.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.
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