Number worksheet — GCSE Foundation

1.Work out 5⁰ + 5¹ + 5²

2.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

3.Work out 3 + 4 × 2²

4.Work out −(−3)⁴ + (−3)³

5.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

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

7.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.

8.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

9.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

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

11.Is 120 divisible by 5? Give a reason for your answer.

12.Work out the highest common factor of 12 and 18.

13.Work out 3 + 4 × (−2).

14.Work out −4.5 + 2.8.

15.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.