Number worksheet — GCSE Foundation

1.Work out the value of ∛125.

2.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

3.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

4.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

5.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

6.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

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.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

9.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

10.Write down the reciprocal of 0.2

11.Work out 100 − 4 × 5²

12.Which of these is written correctly in standard form?

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.Work out the value of 6² − 4³.

15.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.