Number worksheet — GCSE Foundation

1.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

2.Which of these numbers lies between −4 and −1 on a number line?

3.Write 45,000 in standard form.

4.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.

5.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

6.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

7.Round 3.947 to 2 decimal places.

8.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

9.Given that 2⁵ = 32, work out 2⁶.

10.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

11.A country has an area of 25,000,000 hectares. Write this area in standard form.

12.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

13.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

14.Write the fraction 3/4 as a decimal.

15.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?