Number worksheet — GCSE Foundation

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

2.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.

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

4.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

5.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

6.Work out ⁴√16

7.Round 0.006482 to 2 significant figures.

8.Which of these is written correctly in standard form?

9.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

10.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

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

12.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

13.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

14.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

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.