Number worksheet — GCSE Higher

1.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

2.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

3.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.

4.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.

5.Work out √(4 × 9)

6.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

7.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

8.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.

9.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

10.Write down the symbol that makes this statement true: −2/3 ___ −5/6

11.Work out ∛64.

12.Simplify √45.

13.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.

14.Work out the value of (1/3)⁻²

15.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.