Number worksheet — GCSE Foundation

1.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

2.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.

3.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

4.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

5.Which of these numbers is the largest: −9, −7, −4, −2?

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

7.In the number 3.472, work out the value of the digit 7.

8.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?

9.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.

10.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.

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

12.Work out 2 × (−3 + 7)

13.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.

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

15.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.