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

3.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

4.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

5.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

6.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

7.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

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

9.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

10.Simplify x⁷ × x⁴, giving your answer as a single power of x.

11.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

12.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

13.Work out √49

14.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

15.Work out √144 − 2 × 3 + √25