Number worksheet — GCSE Higher

2.Work out 3 + 4 × (−2).

3.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.

4.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

5.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

6.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

7.Simplify (3a²)² × (2a)³

8.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

9.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

10.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.

11.Last year a company made a profit of £5,200,000. Write this amount in standard form.

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

13.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

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

15.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.