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.Given that 2⁵ = 32, work out 2⁶.
- 2.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 3.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
- 4.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.
- 5.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.
- 6.Work out √144 − 2 × 3 + √25
- 7.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
- 8.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 9.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 10.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.
- 11.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
- 12.Write 90 as a product of its prime factors.
- 13.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 14.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 15.Write 0.325 as a fraction in its simplest form.
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