Number worksheet — GCSE Foundation

1.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

2.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?

3.Write 260,000 in standard form.

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

5.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

6.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

7.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

8.Work out 10% of 30% of £200.

9.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

10.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

11.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

12.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

13.A recipe states that a cake needs 200 g of flour, correct to the nearest 25 g. Work out the smallest possible mass of flour, in grams, that could actually be used.

14.Round 0.006482 to 2 significant figures.

15.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.