Number worksheet — GCSE Foundation

1.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.

2.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

3.Work out 3.7 × 24.

4.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

5.Which of these units would be most appropriate to use when stating the mass of a small car?

6.Work out the highest common factor of 12 and 18.

7.Write 0.0038 in standard form.

8.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.

9.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

10.Write down the value of 7⁰

11.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

12.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

13.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

14.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.

15.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.