Number worksheet — GCSE Higher

1.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

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

3.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

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

5.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

7.Work out ∛(−27) + ∛8

8.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

9.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.

10.Work out the value of 2⁻²

11.Work out ∛64.

12.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

13.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

14.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

15.Work out 6² − 4².