CIE IGCSE Maths: Extended

Topic Questions

IGCSEMaths: ExtendedCIETopic Questions3. Geometry3.5 Area & Perimeter

Syllabus Edition

First teaching 2021

Last exams 2024

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3.5 Area & Perimeter

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1
Sme Calculator2 marks

cie-igcse-2020-oct-nov-p2-tz2-q7

The area of triangle A B C is 27 space cm squared and A B space equals space 6 cm.
Calculate the value of h.


h space equals space................................................

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2
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cie-igcse-2020-march-p2-tz2-q7a
The diagram shows a right-angled triangle.

Calculate the perimeter.


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

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3
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A rectangle measures 8.5 cm by 10.7 cm, both correct to 1 decimal place.

Calculate the upper bound of the perimeter of the rectangle.


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

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4
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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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5
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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6
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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7
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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8
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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1
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Rectangle A measures 3 cm by 8 cm.

cie-igcse-2020-may-june-p2-tz1-q1_1

Five rectangles congruent to A are joined to make a shape.

cie-igcse-2020-may-june-p2-tz1-q1_2

Work out the perimeter of this shape.

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

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2
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cie-igcse-2020-mary-jun-p2-tz2-q6

Calculate the area of the trapezium.
 

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

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3
Sme Calculator2 marks

cie-igcse-2020-march-p2-tz2-q7a
The diagram shows a right-angled triangle.

Calculate the area.


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

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4
Sme Calculator2 marks

cie-igcse-2019-may-jun-p2-tz2-q7

Calculate the area of this triangle. 
 

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

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5
Sme Calculator3 marks

cie-igcse-2018-march-p2-16

Find the area of triangle ABC.


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

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1
Sme Calculator5 marks

cie-igcse-2020-oct-nov-p4-tz1-q4b

ABDF is a parallelogram and BCDE  is a straight line.
AF = 12cm, AB = 9 cm, angle CFD = 40° and angle FDE = 80°.

i)
Calculate the height, h, of the parallelogram.

h space equals ........................................... cm [2]
ii)
Calculate the area of the trapezium ABCF.


 .......................................... cm2 [3]

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2
Sme Calculator3 marks

Find the area of a regular hexagon with side length 7.4 cm.


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

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3
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cie-igcse-2018-march-p4-q2

The vertices of a square ABCD lie on the circumference of a circle, radius 8 cm.
 
Calculate the area of the square.
 

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

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4
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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5
Sme Calculator4 marks

q20-4ma1-2h-qp-jan21-paper2-igcse-maths

The diagram shows a shaded region bold T formed by removing an equilateral trianglespace P Q R spacefrom a regular hexagon A B C D E F.

The points P and Q lie on A B such that A B space equals space 1.5 cross times P Q.

Given that the area of region bold T is 72 square root of 3 space cm squared work out the length of P Q.

......................................................space cm space

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