Number worksheet — GCSE Foundation

1.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

2.Write 0.325 as a fraction in its simplest form.

3.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

4.Work out √144

5.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

6.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

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

8.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

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

10.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

11.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

12.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

13.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

14.Work out (2/3)² + (1/2)². Give your answer as a fraction.

15.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.