Number worksheet — GCSE Foundation

1.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.

2.Work out (2/3)² + (1/2)². Give your answer as a fraction.

3.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

4.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?

5.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.

6.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

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

8.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

9.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

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

11.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

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

13.Work out (−3) × 4 + 2 × (−5)

14.Write down the symbol that makes this statement true: 6/11 ___ 4/11

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