Number worksheet — GCSE Foundation

1.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.

2.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

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

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

5.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

6.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

7.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

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

9.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

10.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

11.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

12.Work out 1/2 of 1/4 of 80.

13.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

14.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

15.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.