Number worksheet — GCSE Higher

1.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

2.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

3.A courier's van has a weight limit of 850 kg for its parcels. The driver's display shows the total mass of the parcels loaded as 850 kg, correct to the nearest 5 kg. Decide whether the parcels are definitely within the weight limit.

4.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

5.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

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

7.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

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

9.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

10.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

11.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

12.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

13.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

14.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.

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