CIE IGCSE Maths: Core

Topic Questions

IGCSEMaths: CoreCIETopic QuestionsGeometryBasic Angle Properties

Syllabus Edition

First teaching 2021

Last exams 2024

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Basic Angle Properties

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1
Sme Calculator2 marks

qp11-0580-13-paper-1-may-2020-cie-igcse-maths-1

Triangle A B C is isosceles.
Angle A B C = 32° and A B space equals space A C.

Find angle B A C.

Angle B A C = ................................................. 

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2
Sme Calculator2 marks

qp4-0580-12-paper-1-march-2020-cie-igcse-maths

Work out the value ofspace x.
Give a geometrical reason for your answer.

x = .................... because .......................................................................

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3
Sme Calculator1 mark

Write down the mathematical name of this type of angle.

qp1-0580-13-paper-1-oct-nov-2019-cie-igcse-maths

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4
Sme Calculator1 mark

A student measures the angles in a triangle as 55°, 85° and 50°.

Explain why the student is incorrect.

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5
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Write down the size of one angle in an equilateral triangle.

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6
Sme Calculator1 mark

The diagram shows a right-angled triangle.

qQDzktSG_q9a-058032-octnov2018-cie-igcse-maths-core

Find the value of x.

x equals........................ 

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7
Sme Calculator1 mark

q19a-058013-octnov2018-cie-igcse-maths-core

Find the value of x.

x space equals..........................

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1
Sme Calculator2 marks

qp2c-0580-32-paper-3-nov-2020-cie-igcse-maths

A B C spaceis a straight line and B C D is an isosceles triangle.
Find the value ofspace x.

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

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2
Sme Calculator3 marks

The diagram shows a trapezium.

qp14-0580-11-paper-1-may-2020-cie-igcse-maths

Work out the value of x.

x = .................................................. 

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3
Sme Calculator2 marks

Kim knows that one angle of an isosceles triangle is 48°.
He says that one of the other angles must be 66°.

Explain why Kim is wrong.

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4
Sme Calculator4 marks

qp5b-0580-32-paper-3-oct-nov-2019-cie-igcse-maths

The diagram shows triangle P R S and a straight line Q S.
Q is a point on P R.
Angle Q R S = 25°, angle R S Q = 32° and P S space equals space Q S.

i)
Find angle P Q S.
Angle P Q S = ................................................... [2]
ii)
Find angle P S R.
Angle P S R = ................................................... [2]

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5
Sme Calculator4 marks

The diagram shows a triangle.

q8e-058031-octnov2018-cie-igcse-maths-core

Use the diagram to write down an equation and solve it to find the value of x.

x = ..................................

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6
Sme Calculator2 marks

q5d-058032-octnov2018-cie-igcse-maths-core

The diagram shows an isosceles triangle, A B C.
B C D is a straight line.

Find the value of x.

x space equals ................................

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7
Sme Calculator2 marks

q19b-058013-octnov2018-cie-igcse-maths-core

A B C is an isosceles triangle and B C D is a straight line.

Find the value of y.

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

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8
Sme Calculator2 marks

q8a-058032-mayjune2018-cie-igcse-maths-core

In the diagram, A B space equals space A C.

Find

i)
angle B A C comma

Angle B A C = ................................ [1]

ii)
angle A B C.

Angle A B C = ............................... [1]

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9
Sme Calculator2 marks

The diagram shows an isosceles triangle and a straight line A B.

q2b--058033-mayjune2018-cie-igcse-maths-core

Find the value of x and the value of y.

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

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1
Sme Calculator2 marks

qp7a-0580-31-paper-3-nov-2020-cie-igcse-maths

The diagram shows an isosceles triangle and a straight line.
Work out the value of w.

w equals...............................

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2
Sme Calculator2 marks

qp7a-0580-32-paper-3-may-2020-cie-igcse-maths

The diagram shows an isosceles triangle.

Find the value of x.

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

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3
Sme Calculator3 marks

qp8b-0580-03-paper-3-specimen-2020-cie-igcse-maths

Work out the value of w.
Give reasons for your answer.

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

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4a
Sme Calculator2 marks

qp3a-0580-31-paper-3-oct-nov-2019-cie-igcse-maths

i)
Measure the size of angle x.
[1]

ii)
Write down the mathematical name of this type of angle.
[1]

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4b
Sme Calculator1 mark

A B C is a straight line.

qp3b-0580-31-paper-3-oct-nov-2019-cie-igcse-maths

Find the value of y.

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

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4c
Sme Calculator2 marks

Q R S spaceis an isosceles triangle and P Q R is a straight line.

qp3c-0580-31-paper-3-oct-nov-2019-cie-igcse-maths

Find the value of z.

z = ................................................... 

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5
Sme Calculator2 marks

q4a-058031-mayjune2019-cie-igcse-maths-core

A B C is an isosceles triangle.
B C D is a straight line.

Find the value of a.

a = ..............................................

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6
Sme Calculator1 mark

The diagram shows a quadrilateral.

q3-058011-mayjune2018-cie-igcse-maths-core

Find the value of x.

x space equals ...........................

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