CIE IGCSE Maths: Extended

Topic Questions

IGCSEMaths: ExtendedCIETopic Questions1. Number1.13 Rounding, Estimation and Bounds

Syllabus Edition

First teaching 2021

Last exams 2024

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1.13 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 0.076499 correct to 2 significant figures.

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5
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Write the number 10 100 correct to 2 significant figures.

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6
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Write 209 802 correct to the nearest thousand.

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7
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Write 4123 correct to 3 significant figures.

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8
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Write 0.046875 correct to 2 significant figures.

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9a
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Calculate square root of 2.38 plus 6.4 squared end root, writing down your full calculator display.

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9b
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Write your answer to part (a) correct to 4 decimal places.

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1
Sme Calculator3 marks

The sides of an isosceles triangle are measured correct to the nearest millimetre.
One side has a length of 8.2 cm and another has a length of 9.4 cm.

Find the largest possible value of the perimeter of this triangle.

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

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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

Anna walks 31 km at a speed of 5 km/h.
Both values are correct to the nearest whole number.

Work out the upper bound of the time taken for Anna’s walk.

...................................... hours

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4
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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5
Sme Calculator2 marks

Saafia has a barrel containing 6000 millilitres of oil, correct to the nearest 100ml.
She uses the oil to fill bottles which each hold exactly 50ml.
 
Calculate the upper bound for the number of bottles she can fill.

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1
Sme Calculator2 marks

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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2
Sme Calculator2 marks

Calculate.

fraction numerator 16.379 minus 0.879 over denominator 4.2 end fraction cross times 1.241


Give your answer correct to 2 significant figures.

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3
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The sides of a square are 15.1 cm, correct to 1 decimal place.

Find the upper bound of the area of the square.

............................................. cm2

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4
Sme Calculator1 mark

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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5
Sme Calculator2 marks

An equilateral triangle has side length 12 cm, correct to the nearest centimetre.

Find the lower bound and the upper bound of the perimeter of the triangle.
 

Lower bound = ......................................... cm
Upper bound = ......................................... cm

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6
Sme Calculator2 marks

The area of a square is 42.5 cm2, correct to the nearest 0.5 cm2.
 
Calculate the lower bound of the length of the side of the square.
 

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

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7
Sme Calculator2 marks

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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8
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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9
Sme Calculator2 marks

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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10
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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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