Number worksheet — GCSE Foundation

1.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.

2.Work out (−2)² − 3

3.Work out −7 − (−3).

4.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

5.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

6.Which of these decimals lies between 1/4 and 2/5?

7.2/3 of an amount of money is £30. Work out the amount.

8.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

9.After a price increase of 10%, a laptop costs £330. Work out the original price.

10.Which of these numbers is the largest: −9, −7, −4, −2?

11.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

12.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

13.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

14.Simplify (y³)⁴, giving your answer as a single power of y.

15.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.