Number worksheet — GCSE Foundation

1.Work out √144 − 2 × 3 + √25

2.Work out √49

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

4.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

5.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

6.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

7.Work out (−3) × 4 + 10

8.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

9.Work out √25 + 4² − 12 ÷ 3

10.2/3 of an amount of money is £30. Work out the amount.

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

12.Work out 3π − π, giving your answer as a multiple of π.

13.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

14.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

15.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.