Number worksheet — GCSE Foundation

1.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.

2.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.

3.Work out 35% of 180.

4.Work out the lowest common multiple of 9 and 15.

5.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

6.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

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

8.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

9.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

10.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

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

12.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

13.Work out −7 − (−3).

14.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

15.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.