Number worksheet — GCSE Foundation

1.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

2.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

3.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

4.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

5.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

6.2/3 of an amount of money is £30. Work out the amount.

7.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.

8.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

9.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

10.Round 0.006482 to 2 significant figures.

11.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

12.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

13.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

14.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

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