Number worksheet — GCSE Higher

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

2.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

3.Work out (−6) + (−4) × 3

4.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

5.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

6.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

7.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.

8.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.

9.Work out the value of √49 + ∛27

10.Work out how many factors 100 has.

11.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

12.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

13.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

14.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

15.Work out the reciprocal of (2 + 3)