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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- 1.4ˣ = 64. Work out the value of x.
- 2.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 3.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 4.Find the missing number: ▢ ÷ 15 = 24
- 5.Write 0.06 as a fraction in its simplest form.
- 6.Write 0.35 as a fraction in its lowest terms.
- 7.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
- 8.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
- 9.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.
- 10.Work out the reciprocal of (2 + 3)
- 11.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 12.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.
- 13.Write 200 as a product of its prime factors, using index notation.
- 14.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.
- 15.Simplify (x⁻²)³, giving your answer as a fraction.
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