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.Estimate the value of √45, giving your answer to the nearest whole number.
- 2.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 3.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 4.Which of these is written correctly in standard form?
- 5.Work out (−3) × 4 + 2 × (−5)
- 6.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
- 7.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
- 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 student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.
- 10.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 11.4ˣ = 64. Work out the value of x.
- 12.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 13.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 14.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
- 15.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
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