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.

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Rounding, significant figures and error intervals worksheet — GCSE Higher

Maths · GCSE Higher · N15 · Rounding, significant figures and error intervals · 15 questions

MathsUKwww.geekhero.co.uk

1.Round 0.006482 to 2 significant figures.
(a)0.01
(b)0.00648
(c)0.0065
(d)0.006
2.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
(a)8.15 ≤ y < 8.25
(b)8.15 < y < 8.25
(c)8.1 ≤ y < 8.2
(d)8.2 ≤ y < 8.3
3.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.
(a)£819
(b)£840
(c)£60
(d)£800
4.Round 0.006852 to 2 significant figures.
(a)0.0069
(b)0.0068
(c)0.007
(d)0.00685
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.
(a)£13.47
(b)£13.48
(c)£13.50
(d)£13.40
6.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.
(a)12.25 ≤ t < 12.35
(b)12.3 < t ≤ 12.4
(c)12.3 ≤ t < 12.4
(d)12.3 ≤ t ≤ 12.4
7.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
(a)6.1 < x ≤ 6.2
(b)6.2 ≤ x < 6.3
(c)6.2 ≤ x ≤ 6.3
(d)6.15 ≤ x < 6.25
8.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
9.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
10.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
11.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?
(a)Sam should have written 0.070
(b)Sam should have written 0.0704
(c)Sam is correct
(d)Sam should have written 0.0702
12.Round 592.5 to the nearest 10.
(a)600
(b)500
(c)590
(d)595
13.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
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 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.
(a)1,500 ≤ m < 2,500
(b)1,000 ≤ m < 3,000
(c)1,950 ≤ m < 2,050
(d)1,500 < m ≤ 2,500

Build your own mix at the worksheet builder.