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 · 15 questions

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1.Round 24,681 to the nearest 1,000.
(a)24,700
(b)24,000
(c)20,000
(d)25,000
2.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.
(a)11.5 ≤ L < 12.5
(b)11.5 < L < 12.5
(c)11 ≤ L < 13
(d)11.5 ≤ L ≤ 12.5
3.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.
(a)24.7
(b)24.685
(c)24.68
(d)24.69
4.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.
(a)£6.66
(b)£8
(c)£7.60
(d)£7.40
5.Round 3.947 to 2 decimal places.
(a)4.0
(b)3.94
(c)3.95
(d)3.9
6.Round 592.5 to the nearest 10.
(a)600
(b)500
(c)590
(d)595
7.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
8.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.
(a)3.6 ≤ n < 3.8
(b)3.65 ≤ n < 3.75
(c)3.65 < n < 3.75
(d)3.65 ≤ n ≤ 3.75
9.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
10.Round 0.006852 to 2 significant figures.
(a)0.0069
(b)0.0068
(c)0.007
(d)0.00685
11.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
12.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
13.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.
(a)8,350
(b)8,450
(c)8,390
(d)8,300
14.Round 0.0759 to 2 decimal places.
(a)0.08
(b)0.07
(c)0.076
(d)0.1
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.
(a)29.4 kg
(b)24 kg
(c)29.1 kg
(d)30 kg

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