Number worksheet — GCSE Foundation

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

2.Round 0.006482 to 2 significant figures.

3.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

4.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

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

6.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

7.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

8.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.

9.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

10.Write 0.0038 in standard form.

11.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.

12.2/3 of an amount of money is £30. Work out the amount.

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

14.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.

15.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.