Printable · GCSE Foundation · ages 14-16
Rounding, significant figures and error intervals worksheet — GCSE Foundation
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 Foundation
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- 1.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.
- 2.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.
- 3.Round 3.947 to 2 decimal places.
- 4.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
- 5.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.
- 6.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.
- 7.Round 24,681 to the nearest 1,000.
- 8.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.
- 9.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.
- 10.Round 6.283 to 1 significant figure.
- 11.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.
- 12.Round 592.5 to the nearest 10.
- 13.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.
- 14.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 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.
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