Number worksheet — GCSE Foundation

1.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

2.Simplify (y³)⁴, giving your answer as a single power of y.

3.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

4.Work out the highest common factor of 20 and 32.

5.Write 0.325 as a fraction in its simplest form.

6.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

7.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

8.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

9.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

10.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

11.Round 6.283 to 1 significant figure.

12.Work out (3 × 5)²

13.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.

14.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

15.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².