Number worksheet — GCSE Foundation

1.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.

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

3.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.

4.Work out ⁴√81

5.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

6.Write 200 as a product of its prime factors, using index notation.

7.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

8.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

9.3.4 × 10⁵ is written as an ordinary number. Work out this number.

10.Work out the value of 2⁻²

11.Work out 15% of £40, using 10% and 5%.

12.Write down the symbol that makes this statement true: 6/11 ___ 4/11

13.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

14.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

15.Which of these numbers lies between −8 and −5 on a number line?