Number worksheet — GCSE Foundation

1.Write 0.875 as a fraction in its simplest form.

2.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

3.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.

4.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

5.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

6.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.

7.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

8.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

9.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

10.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

11.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

12.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

13.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

14.Work out (−6) + (−4) × 3

15.Round 6.283 to 1 significant figure.