Number worksheet — GCSE Foundation

1.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

3.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.

4.Write 200 as a product of its prime factors, using index notation.

5.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

6.Is 120 divisible by 5? Give a reason for your answer.

7.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

8.Work out √(4 × 9)

9.Work out 8% of £250.

10.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.

11.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

12.4ˣ = 64. Work out the value of x.

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

14.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.

15.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?