Number worksheet — GCSE Foundation

1.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

2.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.

3.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

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

5.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

6.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

7.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

8.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

9.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.

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

11.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

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

13.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

14.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

15.Work out (5 + 2) × 3²