Number worksheet — GCSE Higher

1.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

2.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

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

4.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

5.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

6.The density of a metal is calculated using density = mass ÷ volume. A sample has a mass of 156 g, correct to the nearest gram, and a volume of 12 cm³, correct to the nearest cm³. Work out the minimum possible density, in g/cm³.

7.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.

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

9.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

11.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

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

13.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

14.2/3 of an amount of money is £30. Work out the amount.

15.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2