Number worksheet — GCSE Higher

1.Work out 3 + 4 × (−2).

2.A country has an area of 25,000,000 hectares. Write this area in standard form.

3.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

4.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.

5.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.

6.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.

7.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

8.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

9.Which statement about the number 91 is correct?

10.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

11.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

12.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

13.Round 592.5 to the nearest 10.

14.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

15.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.