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.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

3.Which of these is equal to 5³?

4.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

5.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

6.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.

7.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

8.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

9.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.

10.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

11.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

12.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

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

14.Work out 18 − 4 × 2

15.Work out (−6) + (−4) × 3