Number worksheet — GCSE Foundation

1.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

2.Write down a prime number between 30 and 40.

3.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

4.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

5.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

6.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

7.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

8.Round 0.006482 to 2 significant figures.

9.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

10.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

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

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

13.Work out ⁴√81

14.Work out 2/5 + 1/4, giving your answer in its simplest form.

15.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.