Number worksheet — GCSE Higher

1.Work out the reciprocal of (2 + 3)

2.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

3.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

4.Write 0.35 as a fraction in its lowest terms.

5.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

6.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

7.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.

8.Estimate the value of √45, giving your answer to the nearest whole number.

9.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

10.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

11.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

12.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

13.Write down the symbol that makes this statement true: −2/3 ___ −5/6

14.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

15.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.