Number worksheet — GCSE Foundation

1.Work out the value of 6² − 4³.

2.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

3.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

4.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

5.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

6.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

7.Work out (−2)³ + (−3)² − (−4)

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

9.Work out 3/8 of 96.

10.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

11.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

12.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.

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

14.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

15.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.