Number worksheet — GCSE Higher

1.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

2.Work out 4368 ÷ 12.

3.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

4.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.

5.Work out 10% of 30% of £200.

6.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

7.Work out 35% of 180.

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

9.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.

10.Write 5/6 as a decimal, showing clearly which digit recurs.

11.Write down the symbol that makes this statement true: −2/3 ___ −5/6

12.Write down the reciprocal of 0.2

13.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

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

15.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.