Number worksheet — GCSE Foundation

1.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

2.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

3.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

4.Which of these numbers is the largest: −9, −7, −4, −2?

5.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

6.Work out 2⁵.

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

8.Work out the value of 5³.

9.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

10.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.

11.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

12.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

13.Work out ⁴√16

14.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.

15.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.