IGCSEMathsCambridge (CIE)CoreExam QuestionsPythagoras & TrigonometryTrigonometry

Trigonometry (Cambridge (CIE) IGCSE Maths: Core): Exam Questions

Exam code: 0580 & 0980

1 hour18 questions
Easy
Medium
Hard
1
Sme Calculator2 marks
q21a-0580-0980-w20-oct-nov-2020-cie-igcse-maths

Calculate the value of x.

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

How did you do?

2
Sme Calculator2 marks
qp17-0580-12-paper-1-march-2020-cie-igcse-maths

The diagram shows a right-angled triangle
Calculate AB.

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

How did you do?

3
Sme Calculator2 marks
q12-058011-mayjune2019-cie-igcse-maths-core

The diagram shows a right-angled triangle.

Calculate the value of x.

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

How did you do?

4
Sme Calculator2 marks

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 .............................. [2]

How did you do?

5
Sme Calculator2 marks
q16-058013-mayjune2018-cie-igcse-maths-core

The diagram shows a right-angled triangle.

Calculate the value of x.

x space equals............................ [2]

How did you do?

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.

How did you do?

2
Sme Calculator3 marks
qp8c-0580-33-paper-3-nov-2020-cie-igcse-maths

Calculate the value of x.

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

How did you do?

3
Sme Calculator2 marks
qp8c-0580-03-paper-3-specimen-2020-cie-igcse-maths

Use trigonometry to calculate the value ofspace p.

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

How did you do?

4
Sme Calculator3 marks
qp21-0580-11-paper-1-oct-nov-2019-cie-igcse-maths

Use trigonometry to calculate the value of x.

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

How did you do?

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 .............................................. 

How did you do?

6
Sme Calculator2 marks
q23-058012-march2018-cie-igcse-maths-core

Calculate the size of angle B A C.

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

How did you do?

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°.

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]

How did you do?

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]

How did you do?

3a
Sme Calculator2 marks
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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3b
Sme Calculator2 marks

Calculate C D.

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

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4a
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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4b
Sme Calculator2 marks

Calculate the value of x.

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

How did you do?

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.

[1]

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]

How did you do?

6a
Sme Calculator2 marks
Circle inscribed in rectangle ABCD, with points F, E, and G marked. Diagonal lines from A to C and B to G intersect at the circle.

The points B, C, and D lie on the circumference of the circle, centre O.

The line A B is a tangent to the circle at B.

Find the value of x and the value of y.

How did you do?

6b
Sme Calculator3 marks

B C is 4cm.

Hence, find the radius of the circle.

Round your answer to 3 significant figures.

How did you do?

6c
Sme Calculator2 marks

Calculate the area of the circle.

Round your answer to 3 significant figures.

How did you do?

7a
Sme Calculator2 marks
Right-angled triangle xyz; side xy is 21 cm, hypotenuse xz is 29 cm, and yz is unknown. Angle at y is 90 degrees.

Calculate the value of the length Y Z.

How did you do?

7b
Sme Calculator2 marks

Find the interior angle at X.

How did you do?