Number worksheet — GCSE Higher

1.Round 592.5 to the nearest 10.

2.Write 5/6 as a decimal, showing clearly which digit recurs.

3.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

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

5.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.

6.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

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

8.Work out 5/6 × 2/9, giving your answer in its simplest form.

9.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

10.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

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

12.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

13.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

14.Write 0.35 as a fraction in its lowest terms.

15.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.