Number worksheet — GCSE Foundation

1.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

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

3.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

4.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

5.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.

6.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

7.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

8.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

9.Write 45,000 in standard form.

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

11.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

12.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.

13.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

14.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.

15.Given that 2⁵ = 32, work out 2⁶.