Number worksheet — GCSE Foundation

1.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.

2.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

3.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.

4.Write 12 as a product of its prime factors.

5.Work out 3 + 4 × (−2).

6.Write down the symbol that makes this statement true: −9 ___ −4

7.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

8.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

9.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.

10.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

11.Write down the reciprocal of 5/8

12.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

13.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

14.Write down the symbol that makes this statement true: 6/11 ___ 4/11

15.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?