Number worksheet — GCSE Higher

1.Work out 35% of 180.

2.Work out −4.5 + 2.8.

3.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

4.Write down the exact decimal value of the fraction 1/6.

5.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.

6.Which of these is written correctly in standard form?

7.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

8.Work out −(−3)⁴ + (−3)³

9.Work out the value of √49 + ∛27

10.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.

11.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

12.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

13.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

14.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

15.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.