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.A rectangular garden has a length of 12.4 m and a width of 7.5 m, each measured correct to 1 decimal place. Calculate the upper bound for the area of the garden.
- 2.Work out ⁴√81
- 3.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 4.Work out the reciprocal of (2 + 3)
- 5.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.
- 6.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 7.Work out √(4 × 9)
- 8.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
- 9.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.
- 10.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 11.Work out −(−3)⁴ + (−3)³
- 12.Work out −4.5 + 2.8.
- 13.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
- 14.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 15.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
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