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 the value of (1/3)⁻²
- 2.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 3.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 4.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 5.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.
- 6.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 7.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.
- 8.Work out the value of .
- 9.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 10.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 11.Estimate the value of √45, giving your answer to the nearest whole number.
- 12.Work out (−6) + (−4) × 3
- 13.Work out 3³ + 2⁴.
- 14.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 15.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.
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