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.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 2.Work out 10% of 30% of £200.
- 3.Write 12 as a product of its prime factors.
- 4.Write 0.36 as a fraction in its simplest form.
- 5.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 6.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 7.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 8.Work out the value of .
- 9.Write down the reciprocal of 0.2
- 10.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.
- 11.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 12.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 13.Estimate the value of √45, giving your answer to the nearest whole number.
- 14.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 15.Work out −4.5 + 2.8.
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