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.

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Rounding, significant figures and error intervals worksheet — GCSE Foundation

Maths · GCSE Foundation · N15 · Rounding, significant figures and error intervals · Non-calculator · 15 questions

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1.Round 0.006482 to 2 significant figures.
(a)0.01
(b)0.00648
(c)0.0065
(d)0.006
2.Round 0.006852 to 2 significant figures.
(a)0.0069
(b)0.0068
(c)0.007
(d)0.00685
3.Round 0.0759 to 2 decimal places.
(a)0.08
(b)0.07
(c)0.076
(d)0.1
4.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
(a)4 miles
(b)830 miles
(c)41.5 miles
(d)40 miles
5.Round 4,685 to the nearest 100.
(a)5,000
(b)4,700
(c)4,600
(d)4,690
6.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.
(a)8.35 ≤ L < 8.45
(b)8.4 ≤ L < 8.5
(c)8.3 ≤ L < 8.5
(d)8.35 < L ≤ 8.45
7.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
(a)0.0485
(b)0.052
(c)0.0479
(d)0.04
8.Round 6.283 to 1 significant figure.
(a)10
(b)6.3
(c)6
(d)0.6
9.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.
(a)to the nearest centimetre
(b)to 1 decimal place
(c)to the nearest 0.5 cm
(d)to the nearest 10 cm
10.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
(a)0.02 cm
(b)0.023 cm
(c)0.0238 cm
(d)0.024 cm
11.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.
(a)5.0 kg
(b)5.6 kg
(c)5.7 kg
(d)6.0 kg
12.Round 592.5 to the nearest 10.
(a)600
(b)500
(c)590
(d)595
13.Round 24,681 to the nearest 1,000.
(a)24,700
(b)24,000
(c)20,000
(d)25,000
14.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.
(a)330 ml
(b)320 ml
(c)335 ml
(d)350 ml
15.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.
(a)240 ≤ m < 250
(b)245 ≤ m < 255
(c)245 < m ≤ 255
(d)240 ≤ m < 260

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