IGCSEMaths: CoreCIEExam QuestionsPythagoras & TrigonometryTrigonometry

Syllabus Edition

First teaching 2021

Last exams 2024

|

Trigonometry (CIE IGCSE Maths: Core)

Exam Questions

1 hour18 questions
Easy
Medium
Hard
1
Sme Calculator2 marks

q12-058011-mayjune2019-cie-igcse-maths-core

The diagram shows a right-angled triangle.

Calculate the value of x.

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

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2
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qp17-0580-12-paper-1-march-2020-cie-igcse-maths

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

A B space equals..........................m 

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3
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The diagram shows a right-angled triangle.

q7-058012-octnov2018-cie-igcse-maths-core

Use trigonometry to calculate the value of x.

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

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4
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q16-058013-mayjune2018-cie-igcse-maths-core

The diagram shows a right-angled triangle.

Calculate the value of x.

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

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5
Sme Calculator2 marks

q21a-0580-0980-w20-oct-nov-2020-cie-igcse-maths

Calculate the value of x.

x equals............................

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1
Sme Calculator3 marks

qp22-0580-12-paper-1-nov-2020-cie-igcse-maths

Show that the value of x is 27.2, correct to 3 significant figures.

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2
Sme Calculator3 marks

qp8c-0580-33-paper-3-nov-2020-cie-igcse-maths

Calculate the value of x.

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

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3
Sme Calculator2 marks

qp8c-0580-03-paper-3-specimen-2020-cie-igcse-maths

Use trigonometry to calculate the value ofspace p.

p = .............................................. 

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4
Sme Calculator3 marks

qp21-0580-11-paper-1-oct-nov-2019-cie-igcse-maths

Use trigonometry to calculate the value of x.

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

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5
Sme Calculator2 marks

q13-058012-mayjune2019-cie-igcse-maths-core

The diagram shows a right-angled triangle.

Calculate the value of x.

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

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6
Sme Calculator2 marks

q16-058012-mayjune2018-cie-igcse-maths-core

Use trigonometry to calculate the value of x.

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

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7
Sme Calculator2 marks

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

Calculate the size of angle B A C.

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

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1
Sme Calculator7 marks

qp6-0580-31-paper-3-may-2020-cie-igcse-maths

The diagram shows a circle, centre O, radius 11 cm.
C comma space F comma space G and H are points on the circumference of the circle.
The line A D touches the circle at C and is parallel to the line E G.
B is a point on A D and angle A B O = 140°.

[1]

i)
Give a reason why angle B C O is 90°.

[1]

ii)
Show thatspace B C space = 13.11 cm, correct to 2 decimal places.

[3]

iii)
Calculate B H.
B H = ......................... cm [3]

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2
Sme Calculator6 marks

qp9b-0580-33-paper-3-may-2020-cie-igcse-maths

A speedboat starts at X and travels to Y, then to Z and then back to X.
Z is due south of X and Y is due west of Z.
X Y = 39km and X Z = 21 km.

i)
Calculate Y Z.

Y Z equals.............................km [3]

ii)
Calculate angle Y X Z.
Angle Y X Z = ......................[2]
iii)
Find the bearing ofspace Y spacefrom X.
[1]

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3a
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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3b
Sme Calculator2 marks

Calculate the value of x.

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

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4
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q9-058033-octnov2018-cie-igcse-maths-core

A comma space B and C are points on the circumference of the circle, centre O.
The straight line D E touches the circle at B.

A B space equals space 9 space cm.

i)
Calculate the area of the circle.
Give the units of your answer.
[3]
ii)
Calculate B C.
B C space equals ............................. cm [2]

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5
Sme Calculator9 marks

q9-058031-mayjune2018-cie-igcse-maths-core

A comma space B and C are points on the circumference of a circle, centre O.

A B space equals space 20 space cm space and space A C space equals space 52 cm.

i)
Use trigonometry to calculate angle B A C.

Angle B A C = ............................. [2]

ii)
Show that B C = 48cm.

[2]

iii)
Work out the area of triangle A B C.
........................... cm2 [2]
iv)
Work out the total shaded area.

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

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6a
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q24-058013-mayjune2019-cie-igcse-maths-core

A vertical flagpole, B D, stands on horizontal ground and is held by two ropes, A D and C D.
A D space equals space 15 straight m comma space B C space equals space 10.7 straight m and angle D A B space equals space 38 degree.

Using trigonometry, calculate B D.

B D = ...............................m 

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6b
Sme Calculator2 marks

Calculate C D.

C D space equals space.......................... m 

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