Number worksheet — GCSE Foundation

1.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

2.Work out the value of ∛125.

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 these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

5.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

6.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.

7.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

8.Write the fraction 9/25 as a decimal.

9.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

10.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

11.Write 0.005 in standard form.

12.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.

13.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

14.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

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