Number worksheet — GCSE Foundation

1.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

2.A courier's van has a weight limit of 850 kg for its parcels. The driver's display shows the total mass of the parcels loaded as 850 kg, correct to the nearest 5 kg. Decide whether the parcels are definitely within the weight limit.

3.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.

4.Write 45,000 in standard form.

5.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.

6.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

7.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

8.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.

9.Write 260,000 in standard form.

10.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.

11.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.

12.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

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

14.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

15.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.