Number worksheet — GCSE Foundation

1.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

2.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

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

4.Work out the highest common factor of 15 and 25.

5.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

6.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.

7.Work out 250 ÷ 1000.

8.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

9.In the number 3.472, work out the value of the digit 7.

10.Which of these numbers is the largest: −9, −7, −4, −2?

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

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.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

14.Write 5,000,000 in standard form.

15.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.