Number worksheet — GCSE Foundation

1.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

2.Write 60 as a product of its prime factors, using index notation.

3.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.

4.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.

5.Work out 18 − 4 × 2

6.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

7.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

8.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.

9.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

10.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

11.Work out 6² − 4².

12.Write down the symbol that makes this statement true: −9 ___ −4

13.Find the missing number: ▢ ÷ 15 = 24

14.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

15.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.