Number worksheet — GCSE Foundation

1.Work out 3 + 4 × (−2).

2.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

3.Work out √25 + 4² − 12 ÷ 3

4.Write 60 as a product of its prime factors, using index notation.

5.Work out ∛(−27) + ∛8

6.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

7.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.

8.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

9.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

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

11.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

12.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

13.Write 0.06 as a fraction in its simplest form.

14.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

15.Work out how many factors 36 has.