Fractions, decimals and percentages – Year 10 GCSE maths test to download as PDF

Non-calculator. Give answers as fractions in their simplest form.

1. Work out \(\dfrac58+\dfrac{7}{12}\). (2 marks)
2. Work out \(3\dfrac13\div1\dfrac23\). (2 marks)

Calculator allowed.

1. Increase £85 by 12%. (2 marks)
2. A school roll falls from 840 to 777. Work out the percentage decrease. (2 marks)

A new motorbike costs £6500. Its value falls by 18% in the first year and by 12% in the second year.

1. Work out the value after two years. (2 marks)
2. Find the overall percentage decrease, to 1 d.p. (2 marks)

Calculator allowed.

1. A television costs £456 including VAT at 20%. Work out the price before VAT. (2 marks)
2. In a sale the price of a jacket is reduced by 30%. The sale price is £59.50. Work out the original price. (2 marks)

Higher tier.

1. Prove that \(0.\dot3\dot6=\dfrac4{11}\). (2 marks)
2. A population of 25 000 grows by 4% each year. Work out the population after 6 years to the nearest 100. (1 mark)
3. How many years until it is first above 40 000? (1 mark)