Number worksheet — GCSE Higher

1.Round 592.5 to the nearest 10.

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

3.Simplify (3a²)² × (2a)³

4.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

5.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.

6.Work out 35% of 180.

7.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

8.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.

9.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

10.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

11.Write 0.06 as a fraction in its simplest form.

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

13.Write 0.875 as a fraction in its simplest form.

14.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

15.Simplify √8 + √18, giving your answer in the form k√2.