Number worksheet — GCSE Foundation

1.Work out the value of ∛125.

2.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

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

5.Work out 2/5 of 45.

6.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

7.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

8.Work out the lowest common multiple of 9 and 15.

9.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.

10.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

11.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

12.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

13.Work out 20 − 8 ÷ 2 + 1

14.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

15.Work out (5 + 2) × 3²