Number worksheet — GCSE Foundation

1.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.

2.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

3.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

4.Write down the decimal that is equal to 3/5.

5.3.4 × 10⁵ is written as an ordinary number. Work out this number.

6.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

7.Work out 5⁰ + 5¹ + 5²

8.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

9.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

10.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

11.Work out 6² − 4².

12.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.

13.Work out 36 ÷ (2 × 3)

14.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

15.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.