Number worksheet — GCSE Foundation

1.Work out 5/6 × 2/9, giving your answer in its simplest form.

2.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

3.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

4.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

5.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

6.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

7.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

8.Work out −6 × (−3).

9.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

10.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

11.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.

12.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

13.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

14.Work out (−2)² − 3

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