IGCSE · Mathematics 0580 · Number

Limits of accuracy: IGCSE Mathematics questions with answers

Free Limits of accuracy questions for IGCSE Mathematics (0580), part of Number. Each question has the answer and the marking points an examiner would look for.

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Limits of accuracy practice questions

Question 1Structured · 4 marksA* challenge
(a)

A runner runs 240 m, correct to the nearest 10 metres. The time taken is 29.7 s, correct to the nearest 0.1 second.
Calculate the upper bound of the runner’s average speed.

[3]
(b)

Calculate the lower bound of the average speed.

[1]
Show answers and mark scheme
PartAnswer and marking pointsMarks
(a)8.263 m/s
245 or 29.65 seen B1
245 ÷ 29.65 M1
8.263 A1
3
(b)7.899 m/s
235 ÷ 29.75 = 7.899 B1
1
Question 2Structured · 3 marksA* challenge

A car travels 200 km, correct to the nearest 10 km, in 2.4 hours, correct to the nearest 0.1 hour.

Calculate the lower bound of the average speed.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
79.59 km/h
195 or 2.45 seen B1
195 ÷ 2.45 M1
79.59 A1
3
Question 3Structured · 3 marks
(a)

The length of a rectangle is 20 cm, correct to the nearest centimetre. Write down the lower bound of the length.

[1]
(b)

The width is 7 cm, correct to the nearest centimetre. Calculate the upper bound of the area.

[2]
Show answers and mark scheme
PartAnswer and marking pointsMarks
(a)19.5 cm
19.5 B1
1
(b)153.75 cm²
20.5 × 7.5 M1
153.75 A1
2
Question 4Structured · 4 marksA* challenge
(a)

A runner runs 110 m, correct to the nearest 10 metres. The time taken is 16.2 s, correct to the nearest 0.1 second.
Calculate the upper bound of the runner’s average speed.

[3]
(b)

Calculate the lower bound of the average speed.

[1]
Show answers and mark scheme
PartAnswer and marking pointsMarks
(a)7.121 m/s
115 or 16.15 seen B1
115 ÷ 16.15 M1
7.121 A1
3
(b)6.462 m/s
105 ÷ 16.25 = 6.462 B1
1
Question 5Structured · 3 marksA* challenge

A car travels 200 km, correct to the nearest 10 km, in 2.5 hours, correct to the nearest 0.1 hour.

Calculate the lower bound of the average speed.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
76.47 km/h
195 or 2.55 seen B1
195 ÷ 2.55 M1
76.47 A1
3
Question 6Structured · 3 marks
(a)

The length of a rectangle is 9 cm, correct to the nearest centimetre. Write down the lower bound of the length.

[1]
(b)

The width is 3 cm, correct to the nearest centimetre. Calculate the upper bound of the area.

[2]
Show answers and mark scheme
PartAnswer and marking pointsMarks
(a)8.5 cm
8.5 B1
1
(b)33.25 cm²
9.5 × 3.5 M1
33.25 A1
2

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Original Cambridge-style practice questions written for mentorriyaz.in. These are not Cambridge past paper questions, and this site is not affiliated with or endorsed by Cambridge University Press & Assessment. Updated 2026-11-04. Paper generator · mentorriyaz.in