Number worksheet — GCSE Foundation

1.Write 260,000 in standard form.

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

3.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

4.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

5.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

6.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

7.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.

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

10.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

11.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

12.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

13.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

14.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

15.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.