IGCSEMaths: ExtendedCIEExam QuestionsNumberRounding, Estimation and Bounds

Syllabus Edition

First teaching 2023

First exams 2025

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Rounding, Estimation and Bounds (CIE IGCSE Maths: Extended)

Exam Questions

2 hours47 questions

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Rounding, Estimation and Bounds

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Rounding, Estimation and Bounds

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1
Sme Calculator2 marks

The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.

Complete this statement about the value of m.

 ..................... less-than or slanted equal to space m space less than .....................

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2
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Write 0.047883 correct to 2 significant figures.

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3
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Write 1.8972 correct to 2 decimal places.

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4
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Write the number 10 100 correct to 2 significant figures.

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5
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Write 209 802 correct to the nearest thousand.

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6
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Write 4123 correct to 3 significant figures.

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7
Sme Calculator2 marks

The mass of a cat is 4.3 kg correct to 2 significant figures.

i)

Write down the upper bound of the weight of the cat.
 

........................... kg [1]

ii)

Write down the lower bound of the weight of the cat.
 

........................... kg [1]

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8
Sme Calculator2 marks

The length of a book is 33.8 cm, correct to one decimal place.

i)
Write down the lower bound of the length of the book.

.............................................. cm [1]

ii)
Write down the upper bound of the length of the book.

.............................................. cm [1]

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9
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The length of a table is 110 cm to the nearest cm

Complete the error interval.

.................cm ⩽ length < .................cm

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1
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Write 57.3997 correct to 4 significant figures.

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2
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T space equals space fraction numerator 49.2 space minus space 9.50 over denominator 4.085 space cross times space 2.35 end fraction

By writing each number correct to 1 significant figure, work out an estimate for T.
You must show all your working.

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3
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The length, l cm, of a line is 18.3 cm, correct to the nearest millimetre.
 
Complete this statement about the value of l.
 

  ....................less or equal than l less than ....................

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4
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Ella’s height is 175 cm, correct to the nearest 5 cm.
 
Write down the upper bound of Ella’s height.
 

............................................ cm

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5
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An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre.
Calculate the upper bound of the perimeter of this triangle.
 

....................................... cm

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6
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The length of the side of a square is 12 cm, correct to the nearest centimetre.

Calculate the upper bound for the perimeter of the square.

........................................... cm

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7
Sme Calculator1 mark

Jo measures the length of a rope and records her measurement correct to the nearest ten centimetres.
The upper bound for her measurement is 12.35 m.

Write down the measurement she records.

.............................................m

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8
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i)
29 parcels each have a value of $68.
 
By writing each of these numbers correct to 1 significant figure, find an estimate for the total value of these 29 parcels.
 
$ .................................................. [1]
ii)
Without doing any calculation, complete this statement.
 
The actual total value of these 29 parcels is less than the answer to part (i) because ...................... [1]

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9
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Each side of a regular octagon has a length of 18 mm, correct to the nearest 0.5 mm

q4-4ma1-2h-qp-jan22-paper2-igcse-maths

i)
Write down the lower bound of the length of each side of the octagon.
[1]

ii)
Write down the upper bound of the length of each side of the octagon.
[1]

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10
Sme Calculator2 marks

To the nearest 1000, there are 18 000 people at a festival.

i)

Write down the minimum possible number of people at the festival.

[1]

ii)

Write down the maximum possible number of people at the festival.

[1]

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1
Sme Calculator2 marks

P equals 2 open parentheses w plus h close parentheses

w equals 12 correct to the nearest whole number.
h equals 4 correct to the nearest whole number.

Work out the upper bound for the value of P.

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2
Sme Calculator3 marks

A equals fraction numerator b cross times h over denominator 2 end fraction


A equals 10, correct to the nearest whole number.
h equals 4, correct to the nearest whole number.

Work out the upper bound for the value of b.

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3
Sme Calculator2 marks

The space allowed for each tent is a rectangle measuring 8 m by 6 m, each correct to the nearest metre.
 
Calculate the upper bound for the area of the space allowed for each tent.
 

 ............................................ m2

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4
Sme Calculator3 marks

The length of a roll of ribbon is 30 metres, correct to the nearest half-metre.

A piece of length 5.8 metres, correct to the nearest 10 centimetres, is cut from the roll.

Work out the maximum possible length of ribbon left on the roll.

...................metres

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