Number worksheet — GCSE Higher

1.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.

2.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

3.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

4.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

5.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

6.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

7.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

8.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

9.Work out √3 × √12, giving your answer as an integer.

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

11.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

12.A country has an area of 25,000,000 hectares. Write this area in standard form.

13.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

14.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

15.Write ∛(x²) as a single power of x.