Number worksheet — GCSE Higher

1.4ˣ = 64. Work out the value of x.

2.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

3.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

4.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

5.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.

6.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

7.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.

8.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

9.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

10.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

11.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.

12.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.

13.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

14.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.

15.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.