Number worksheet — GCSE Foundation

1.Write 12 as a product of its prime factors.

2.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

3.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.

4.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

5.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.

6.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

7.Which one of these statements about negative numbers is true?

8.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

9.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.

10.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

11.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

12.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

13.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

14.Last year a company made a profit of £5,200,000. Write this amount in standard form.

15.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.