Number worksheet — GCSE Foundation

1.Work out 15% of £40, using 10% and 5%.

2.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.

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

4.Given that 2⁵ = 32, work out 2⁶.

5.Work out 1/2 of 1/4 of 80.

6.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.

7.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

8.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

9.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

10.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

11.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

12.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

13.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.

14.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.

15.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.