Number worksheet — GCSE Foundation

1.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

2.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

3.Write the fraction 3/4 as a decimal.

4.Given that 2⁵ = 32, work out 2⁶.

5.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

6.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

7.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

8.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.

9.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

10.Work out 5/6 × 2/9, giving your answer in its simplest form.

11.Work out 20 − 8 ÷ 2 + 1

12.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

13.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.

14.Write down the reciprocal of 0.2

15.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.