Printable · GCSE Higher · ages 14-16
Rounding, significant figures and error intervals worksheet — GCSE Higher
Fifteen questions on "rounding, significant figures and error intervals" — DfE statement N15. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Rounding, significant figures and error intervals worksheet — GCSE Higher
MathsUKwww.geekhero.co.uk
- 1.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
- 2.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.
- 3.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.
- 4.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.
- 5.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
- 6.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.
- 7.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 8.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.
- 9.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
- 10.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.
- 11.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 12.Round 592.5 to the nearest 10.
- 13.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?
- 14.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 15.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.
Build your own mix at the worksheet builder.