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.
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Number worksheet — GCSE Higher
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- 1.Work out (−2)² − 3
- 2.Work out the exact value of √(2² + 3²)
- 3.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.
- 4.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 5.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.
- 6.Work out √144 − 2 × 3 + √25
- 7.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 8.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 9.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.
- 10.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 11.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 12.Work out ∛64.
- 13.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 14.Write down the symbol that makes this statement true: −2/3 ___ −5/6
- 15.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
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