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.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.
- 2.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 3.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.
- 4.Round 592.5 to the nearest 10.
- 5.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 6.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 7.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 8.Simplify ⁴√(16a⁸b¹²)
- 9.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.
- 10.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
- 11.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.
- 12.Work out (5 + 2) × 3²
- 13.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 14.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 15.Work out the value of 2⁻²
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