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.
Number worksheet — GCSE Higher
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- 1.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.
- 2.Simplify √45.
- 3.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.
- 4.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.
- 5.Write 0.325 as a fraction in its simplest form.
- 6.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 7.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 8.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.
- 9.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.
- 10.Work out the value of .
- 11.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.
- 12.Write 0.36 as a fraction in its simplest form.
- 13.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?
- 14.Work out 6² − 4².
- 15.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
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