Number worksheet — GCSE Foundation

1.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

2.Given that 2⁵ = 32, work out 2⁶.

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

4.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.

5.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.

6.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

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

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

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

10.Which one of these statements is true?

11.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

12.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

13.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

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

15.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.