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.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
- 2.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.
- 3.Work out 5⁰ + 5¹ + 5²
- 4.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 5.Write 60 as a product of its prime factors, using index notation.
- 6.Work out the reciprocal of (2 + 3)
- 7.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.
- 8.Work out the value of .
- 9.Work out 35% of 180.
- 10.4ˣ = 64. Work out the value of x.
- 11.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.
- 12.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 13.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 14.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
- 15.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
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