CIE IGCSE Maths: Extended

Topic Questions

IGCSEMaths: ExtendedCIETopic Questions3. Geometry3.9 Right-Angled Triangles - Pythagoras & Trigonometry

Syllabus Edition

First teaching 2021

Last exams 2024

|

3.9 Right-Angled Triangles - Pythagoras & Trigonometry

DownloadView
Medium
Hard
Very Hard
Medium
Hard
Very Hard
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

How did you do?

Did this page help you?

2
Sme Calculator4 marks

Calculate the area of this trapezium.

cie-igcse-q17-area-trapezium

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

How did you do?

Did this page help you?

3
Sme Calculator3 marks

cie-igcse-2018-may-jun-2-p2-q16
The diagram shows a circle, centre O.
AB is a chord of length 12 cm.
M is the mid-point of AB and OM = 4.5 cm.

Calculate the radius of the circle.

.......................................... cm

How did you do?

Did this page help you?

4a
Sme Calculator2 marks

A B C spaceis a right-angled triangle.

q7a-medium-4-10-right-angled-triangle-edexcel-gcse-maths

Work out the size of angle A B C.
Give your answer correct to 1 decimal place.

How did you do?

4b
Sme Calculator1 mark

The length of the side space A B spaceis reduced by 1 cm.

The length of the side space B C spaceis still 7 cm.
Angle space A C B spaceis still 90°

Will the value of cosspace A B C spaceincrease or decrease?
You must give a reason for your answer.

How did you do?

Did this page help you?

5
Sme Calculator4 marks

A B C spaceis an isosceles triangle.

q9-medium-4-10-right-angled-triangle-edexcel-gcse-maths

Work out the area of the triangle.
Give your answer correct to 3 significant figures.

How did you do?

Did this page help you?

6
Sme Calculator3 marks

q11-medium-4-10-right-angled-triangle-edexcel-gcse-maths

Calculate the length of P R.
Give your answer correct to 3 significant figures.

How did you do?

Did this page help you?

1
Sme Calculator3 marks

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

Calculate the perimeter.


............................................ cm

How did you do?

Did this page help you?

2
Sme Calculator2 marks

cie-igcse-2019-may-june-1-q7

The diagram shows a right-angled triangle.

Calculate the value of x.
 

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

How did you do?

Did this page help you?

3
Sme Calculator2 marks

UsCFLVj9_cie-icse-2018-may-jun-1-7

Calculate the length of AC.


AC = ........................................ cm

How did you do?

Did this page help you?

4
Sme Calculator2 marks

cie-igcse-2018-march-p2-16

Calculate AC.


AC = .................................... m

How did you do?

Did this page help you?

5
Sme Calculator3 marks

Here is a right-angled triangle.

q2-easy-4-10-right-angled-triangle-edexcel-gcse-maths

Work out the length of A C.
Give your answer correct to 1 decimal place.

How did you do?

Did this page help you?

6
Sme Calculator3 marks

q3-easy-4-10-right-angled-triangle-edexcel-gcse-maths

L M N spaceis a right-angled triangle.
M N space= 9.6 cm.
L M= 6.4 cm.

Calculate the size of the angle marked x degree.
Give your answer correct to 1 decimal place.

How did you do?

Did this page help you?

7
Sme Calculator3 marks

q4-easy-4-10-right-angled-triangle-edexcel-gcse-maths

Calculate the value of x.
Give your answer correct to 3 significant figures.

How did you do?

Did this page help you?

8
Sme Calculator3 marks

q5-easy-4-10-right-angled-triangle-edexcel-gcse-maths

P Q R spaceis a right-angled triangle.
P R = 17 cm
P Q space= 25 cm

Work out the size of angle R P Q.
Give your answer correct to 1 decimal place.

How did you do?

Did this page help you?

9
Sme Calculator2 marks

A B C spaceis a right-angled triangle.

q6-easy-4-10-right-angled-triangle-edexcel-gcse-maths

Calculate the length of A B.
Give your answer correct to 3 significant figures.

How did you do?

Did this page help you?

10
Sme Calculator2 marks

P Q R spaceis a right-angled triangle.

q7-easy-4-10-right-angled-triangle-edexcel-gcse-maths

Work out the size of the angle marked x.
Give your answer correct to 1 decimal place.

How did you do?

Did this page help you?

1
Sme Calculator5 marks

cie-igcse-2020-may-june-p2-tz1-q13

C lies on a circle with diameter A D.
B lies on A C and E lies on A D such that B E is parallel to C D.
A B = 21 cm, C D = 18 cm and B E = 13.5 cm.

Work out the radius of the circle.


............................................ cm

How did you do?

Did this page help you?

2
Sme Calculator3 marks

Point A has co-ordinates (1, 0) and point B has co-ordinates (2, 5).

Calculate the angle between the line AB and the x-axis.

How did you do?

Did this page help you?

3
Sme Calculator4 marks

q2-veryhard-4-10-right-angled-triangle-edexcel-gcse-maths

A B C D is a rectangle.
C D E is a straight line.

A B = 12 cm
Angle A C B= 60°
Angle E A C = 90°

Calculate the length of C E.
You must show all your working.

How did you do?

Did this page help you?

4
Sme Calculator4 marks

A square, with sides of length x cm, is inside a circle.
Each vertex of the square is on the circumference of the circle.

The area of the circle is 49 cm2.

Work out the value of x.
Give your answer correct to 3 significant figures.

How did you do?

Did this page help you?

5
Sme Calculator5 marks

Here is triangle A B D.

q10-paper1h-jan2019-edexcel-igcse-maths

The point C lies on B D.

A D space equals space 13 cm space space space space space space B C space equals space 8 cm space space space space space space space angle space A D B space equals space 90 degree space space space space space space angle space C A D space equals space 20 degree

Calculate the size of angle B A C.
Give your answer correct to 1 decimal place.

How did you do?

Did this page help you?