Number worksheet — GCSE Higher

1.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

2.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

3.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

4.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

5.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

6.Work out 4368 ÷ 12.

7.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

8.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾

9.Work out 35% of 180.

10.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

11.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

12.Work out 5/6 × 2/9, giving your answer in its simplest form.

13.Simplify (x⁻²)³, giving your answer as a fraction.

14.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

15.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.