Number worksheet — GCSE Foundation

1.Work out (−3) × 4 + 2 × (−5)

2.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

3.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

4.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

5.Work out −4.5 + 2.8.

6.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

7.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.

8.Work out the value of √64.

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.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

11.Write 45,000 in standard form.

12.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

13.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

14.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

15.Work out the value of ∛125.