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
MathsUKwww.geekhero.co.uk
- 1.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 2.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.
- 3.Write 0.36 as a fraction in its simplest form.
- 4.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.
- 5.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
- 6.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.
- 7.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.
- 8.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 9.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
- 10.Simplify (x⁻²)³, giving your answer as a fraction.
- 11.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.
- 12.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
- 13.√700 lies between which two consecutive integers?
- 14.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
- 15.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.
Build your own mix at the worksheet builder.