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.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.
- 2.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
- 3.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 4.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 5.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 6.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 7.Work out the value of (1/3)⁻²
- 8.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 9.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.
- 10.Write 12 as a product of its prime factors.
- 11.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.
- 12.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.
- 13.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.
- 14.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
- 15.Work out √3 × √12, giving your answer as an integer.
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