Number worksheet — GCSE Foundation

1.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

2.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

3.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

4.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

5.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

6.Work out 0.6 × 0.04.

7.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

8.Given that 2⁵ = 32, work out 2⁶.

9.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.

10.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

11.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

12.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

13.Work out 5 + 3 × (9 − 6)

14.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

15.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.