IGCSEMaths: CoreCIEExam QuestionsPythagoras & TrigonometryPythagoras

Syllabus Edition

First teaching 2023

First exams 2025

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Pythagoras (CIE IGCSE Maths: Core)

Exam Questions

47 mins15 questions
Easy
Medium
Hard
1
Sme Calculator2 marks

q21b-0580-0980-w20-oct-nov-2020-cie-igcse-maths

Calculate the value of k.

k equals...............................

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2
Sme Calculator2 marks

qp7e-0580-31-paper-3-oct-nov-2019-cie-igcse-maths

The diagram shows a flagpole in a garden.
The flagpole has height 25 m.
A rope from the top of the flagpole is tied to the ground 8m from its base.

Calculate the length of this rope.

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

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3
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The diagram shows a right-angled triangle.

qp14-0580-13-paper-1-oct-nov-2019-cie-igcse-maths

Show that the value of x is 41.8, correct to 3 significant figures.

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4
Sme Calculator2 marks

q4e-058031-mayjune2019-cie-igcse-maths-core

Calculate P R.

P R = ......................................... cm 

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5
Sme Calculator2 marks

q23-058012-march2018-cie-igcse-maths-core

Calculate A C.

A C space equals........................... m

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1
Sme Calculator3 marks

qp22-0580-13-paper-1-nov-2020-cie-igcse-maths

Calculate P Q.

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

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2
Sme Calculator3 marks

qp7c-0580-32-paper-3-may-2020-cie-igcse-maths

The diagram shows a rectangle 14cm by w spacecm.
The diagonal is 23 cm.

Calculate the value of w.

w space equals space................................................. space

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3
Sme Calculator3 marks


qp19-0580-12-paper-1-oct-nov-2019-cie-igcse-maths-1

The diagram shows a right-angled triangle.

Calculate the value of x.

x space= ...................................................

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4
Sme Calculator2 marks

q7d-058032-mayjune2019-cie-igcse-maths-core

The diagram shows a right-angled triangle A B C.
Calculate the length of A B.

A B = ................................................m 

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5
Sme Calculator3 marks

q18-058012-mayjune2018-cie-igcse-maths-core

The diagram shows a rectangular playground A B C D.
A B space equals space 23.4m and A C space equals space 35.1m.

Calculate B C.

B C space equals ............................ m [3]

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1
Sme Calculator3 marks

The length of one side of a rectangle is 12cm.
The length of the diagonal of the rectangle is 13cm.

Calculate the area of the rectangle.

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

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2
Sme Calculator3 marks

q26-058012-march2019-cie-igcse-maths-core

Triangles A B C and B C D are both right-angled triangles.

Calculate the value of y.

y space equals space................................ 

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3
Sme Calculator6 marks

q9-058031-octnov2018-cie-igcse-maths-core

The diagram shows a field in the shape of a trapezium.
A B space equals space 150 space straight m comma space B C space equals space 90 space straight m and C D space equals space 120 space straight m.
Angle A B C = angle B C D = 90 degree.

i)
Show that A D space equals space 95 m, correct to the nearest metre.
[3]
ii)
A fence is built around the perimeter of the field.
It costs $ 48 to build each 5-metre section of the fence.
Calculate the cost of building this fence.

$ .................................... [3]

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4
Sme Calculator4 marks

Sam has a rectangular pond, A B C D.

q8a-058033-octnov2018-cie-igcse-maths-core

i)
Calculate B C.

B C = ...............................m [3]

ii)
He puts a fence around the edge of the pond.
Calculate the length of the fence.
................................m [1]

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5
Sme Calculator3 marks

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

Calculate the perimeter.


............................................ cm [3]

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