Number worksheet — GCSE Foundation

1.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

2.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

3.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

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

5.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.

6.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

7.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.

8.Given that 2⁵ = 32, work out 2⁶.

9.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

10.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

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

12.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

13.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

14.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

15.Work out 35% of 180.