Number worksheet — GCSE Foundation

1.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

2.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

3.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

4.Work out 0.6 × 0.04.

5.Given that 2⁵ = 32, work out 2⁶.

6.Which of these is equal to 5³?

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

8.Work out the value of √49 + ∛27

9.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

10.Write 0.25 as a fraction in its simplest form.

11.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

12.Work out 3π − π, giving your answer as a multiple of π.

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

14.Work out the value of ∛8.

15.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.