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
MathsUKwww.geekhero.co.uk
- 1.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
- 2.4ˣ = 64. Work out the value of x.
- 3.Which of these is written correctly in standard form?
- 4.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.
- 5.Find the missing number: 17 × ▢ = 391
- 6.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
- 7.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 8.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 9.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 10.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
- 11.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 12.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 13.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
- 14.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 15.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.
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