1
1 mark
1 mark| hexagon | perpendicular | isosceles | ||
| regular | congruent |
Put a ring around the word that describes two polygons that are the same shape and size
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Syllabus Edition
First teaching 2021
Last exams 2024
|
Congruence & Similarity (CIE IGCSE Maths: Core)
Exam Questions
34 mins17 questions
21 mark
1 mark
On the grid, draw a shape that is congruent to shape 
.
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3a1 mark
1 mark
The diagram shows some quadrilaterals.
Complete the statements.
Quadrilaterals ................. and ................. are congruent.
3b1 mark
1 markQuadrilaterals ................. and ................. are similar.
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43 marks
3 marks
For the triangles shown on the grid, write down the letter of each triangle that is
i)
congruent to triangle 
,
,[1]
ii)
similar to triangle .
.[2]
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51 mark
1 mark
Which shapes, if any, are congruent to shape 
?
Give a reason for your answer.
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12 marks
2 marksThe diagram shows two similar triangles, 
and 
.
Calculate 
.
= ............................................. cm
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2a1 mark
1 mark
Explain why triangle and triangle 
are similar.
2b2 marks
2 marksFind 
.
= ............................. cm
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32 marks
2 marks
Triangle is similar to triangle .
Find the value of 
.
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........................
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43 marks
3 marks
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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52 marks
2 marksTriangle and triangle are similar.
Find 
.
= ............................... cm
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62 marks
2 marksSoraya makes mathematically similar flags.
Calculate the height, 
, of the new flag.
= ............................................... m
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12 marks
2 marks
Explain why triangle is similar to triangle .
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22 marks
2 marks
The diagram shows two similar triangles 
and 
.
Calculate 
.
= ............................................ cm
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32 marks
2 marksThe diagram shows two mathematically similar plant pots.
The smaller pot has height 21.6 cm and diameter 27 cm.
The larger pot has diameter 33 cm.
Find the height, , of the larger pot.
= ............................................ cm
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42 marks
2 marks
Triangle is similar to triangle .
Find the value of .
= ...................................
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52 marks
2 marks
Shape 
is similar to shape 
.
Work out the value of 
.
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................................
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62 marks
2 marksTriangle is similar to triangle .
= ......................................... cm
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