Number worksheet — GCSE Foundation

1.Work out √(4 × 9)

2.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

3.Simplify x⁶ ÷ x²

4.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

5.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

6.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

7.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

8.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

9.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.

10.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.

11.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

12.Work out the lowest common multiple of 9 and 15.

13.Round 0.0759 to 2 decimal places.

14.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

15.Work out the lowest common multiple of 4 and 6.