IGCSEMaths: CoreCIEExam QuestionsLengths, Areas & VolumesCongruence & Similarity

Syllabus Edition

First teaching 2023

First exams 2025

|

Congruence & Similarity (CIE IGCSE Maths: Core)

Exam Questions

34 mins17 questions
Easy
Medium
Hard
1
Sme Calculator1 mark

Pick the word that describes two polygons that are the same shape and size.

hexagon regular  perpendicular  congruent isosceles

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2
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qp2-0580-13-paper-1-may-2020-cie-igcse-maths

On the grid, draw a shape that is congruent to shape A.

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3
Sme Calculator3 marks

qp6b-0580-32-paper-3-march-2020-cie-igcse-maths

For the triangles shown on the grid, write down the letter of each triangle that is

i)
congruent to triangle X,
[1]
ii)
similar to triangle X.
[2]

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4
Sme Calculator1 mark

qp9-0580-03-paper-3-specimen-2020-cie-igcse-maths

The diagram shows four shapes space A comma space B comma space C spaceand D.

Which shapes, if any, are congruent to shape D?
Give a reason for your answer.

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5a
Sme Calculator1 mark

qp21-0580-12-paper-1-oct-nov-2019-cie-igcse-maths

Quadrilaterals ................. and ................. are congruent.

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5b
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Quadrilaterals ................. and ................. are similar.

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1
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Soraya designs two mathematically similar flags.

qp7d-0580-31-paper-3-oct-nov-2019-cie-igcse-maths

Calculate the height, h, of the larger flag.

h space= ............................................... m

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2
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The diagram shows two similar triangles, A B C and  D E F.

qp7d-0580-33-paper-3-oct-nov-2019-cie-igcse-maths

Calculate D F.

D F = ............................................. cm

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3a
Sme Calculator1 mark

q17-058011-mayjune2019-cie-igcse-maths-core

Explain why triangle A B C and triangle P Q R are similar.

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3b
Sme Calculator2 marks

Find A C.

A C = ............................. cm

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4
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q1a-058032-march2018-cie-igcse-maths-core

i)
Explain why these rectangles are mathematically similar.

[1]

ii)
How many times bigger is the area of the large rectangle than the area of the small rectangle?

[2]

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5
Sme Calculator2 marks

Triangle A B C and triangle D E F are similar.

q6-058012-octnov2018-cie-igcse-maths-core

Find D E.

D E = ............................... cm [2]

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1
Sme Calculator2 marks

qp23-0580-12-paper-1-nov-2020-cie-igcse-maths

The diagram shows two similar triangles T U V and X Y Z.

Calculate U T.

U T = ............................................ cm 

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2
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The diagram shows two mathematically similar plant pots.

qp4d-0580-33-paper-3-nov-2020-cie-igcse-maths

The smaller pot has height 21.6 cm and diameter 27 cm.
The larger pot has diameter 33 cm.

Find the height, h, of the larger pot.

h = ............................................ cm

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3
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qp23-0580-11-paper-1-may-2020-cie-igcse-maths

Explain why triangle A B C is similar to triangle P Q R.

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4
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Triangle A B C is similar to triangle P Q R.

qp22-0580-01-paper-1-specimen-2020-cie-igcse-maths

P Q = ......................................... cm

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5
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q18-058013-mayjune2019-cie-igcse-maths-core

Shape A B C D is similar to shape P Q R S.

Work out the value of a.

a space equals ................................

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