Number worksheet — GCSE Foundation

1.Work out 100 − 4 × 5²

2.Work out −(−3)⁴ + (−3)³

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.Work out √225 ÷ 3.

5.Work out 250 ÷ 1000.

6.Work out 2/5 of 45.

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

8.Work out the value of 5³.

9.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

10.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

11.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.

12.Write down the symbol that makes this statement true: −2/3 ___ −5/6

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

14.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

15.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.