Number worksheet — GCSE Foundation

1.A fruit bowl contains apples, pears and plums in the ratio 3 : 4 : 5. What fraction of the fruit are not plums?

2.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

3.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

4.Work out the value of ∛125.

5.Round 24,681 to the nearest 1,000.

6.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

7.Write 0.45 as a fraction in its simplest form.

8.Work out 100 − 4 × 5²

9.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

10.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

11.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

12.Work out the reciprocal of (2 + 3)

13.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

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

15.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.