IGCSEMaths: ExtendedCIEExam Questions3. Geometry3.10 Sine, Cosine Rule & Area of Triangles

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First teaching 2021

Last exams 2024

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Sine, Cosine Rule & Area of Triangles (CIE IGCSE Maths: Extended)

Exam Questions

5 hours44 questions

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3.10 Sine, Cosine Rule & Area of Triangles

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3.10 Sine, Cosine Rule & Area of Triangles

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1
Sme Calculator2 marks

cie-igcse-2019-oct-nov-p2-tz1-q13

Calculate the area of the triangle.

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

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2
Sme Calculator3 marks

cie-igcse-2018-may-jun-1-13
Use the sine rule to find angle ABC.

Angle ABC = ..............................................

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3
Sme Calculator4 marks

cie-igcse-2018-may-jun-3-p2-q23

Calculate the value of x.

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

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4
Sme Calculator4 marks

cie-igcse-2018-may-jun-1-p2-q20
Calculate angle LMN.

Angle LMN = ..............................................

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5a
Sme Calculator2 marks

A B C is a triangle.

q1-medium-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

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

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5b
Sme Calculator3 marks

Work out the length of the side A B.
Give your answer correct to 3 significant figures.

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6
Sme Calculator3 marks

q2-medium-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

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

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1a
Sme Calculator3 marks

cie-igcse-2020-oct-nov-p2-tz2-q19a

Calculate the value of x.

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

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1b
Sme Calculator3 marks

Calculate the area of the triangle.

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

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2
Sme Calculator3 marks

cie-igcse-2019-oct-nov-p2-tz1-q16

Calculate the obtuse angle x in this triangle.

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

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3a
Sme Calculator3 marks

cie-igcse-2019-march-p2-q24

Calculate SR.
 

SR = ............................................... cm

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3b
Sme Calculator4 marks

Calculate RQ.
 

RQ = ............................................... cm

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4
Sme Calculator5 marks

q1-hard-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

Work out the length of  A D.
Give your answer correct to 3 significant figures.

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5
Sme Calculator5 marks

q2-hard-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

A B C spaceis a triangle.

A B space equals space 8.7 space cm. space Angle space A B C space equals space 49 degree. space Angle space A C B space equals space 64 degree.

Calculate the area of triangle A B C.
Give your answer correct to 3 significant figures.

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6
Sme Calculator5 marks

The diagram shows triangle L M N.

q3-hard-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

Calculate the length of L N.
Give your answer correct to 3 significant figures.

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7
Sme Calculator5 marks

q4-hard-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

A B C spaceis a triangle.
D is a point on A C.
Angle space B A D space= 45°
Angle space A D B space= 80°
A B = 7.4cm
D C = 5.8 cm

Work out the length of B C.
Give your answer correct to 3 significant figures.

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8
Sme Calculator5 marks

A B C spaceis a triangle.

q5-hard-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

A C space= 8.4m
Angle space A C B space= 40°

The area of the triangle = 100 m2.

Work out the length of A B.
Give your answer correct to 3 significant figures.
You must show all your working.

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1
Sme Calculator3 marks

Find the area of a regular hexagon with side length 7.4 cm.


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

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2
Sme Calculator6 marks

cie-igcse-2020-mary-jun-p2-tz2-q27

The diagram shows a cuboid.
AB = 8 cm, AD = 6 cm and DH = 6 cm.
 
Calculate angle HAF.
 

Angle HAF = .................................................

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3
Sme Calculator4 marks

cie-igcse-2018-oct-nov-p2-tz2-q21

The diagram shows an equilateral triangle ABC with sides of length 10 cm.
AMN is a sector of a circle, centre A.
M is the mid-point of AC.

Work out the area of the shaded region.
 

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

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4
Sme Calculator5 marks

q1-vhard-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

The area of triangle space A B C space is 6 square root of 2 spacem2.

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

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5
Sme Calculator5 marks

A B C spaceand space A D C spaceare triangles.

q2-vhard-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

The area of triangle space A D C spaceis 56 m2

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

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6
Sme Calculator5 marks

A B C D spaceis a parallelogram.

q3-vhard-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

A C = 9 cm
D C space = 11 cm
Angle D A C = 100°

Calculate the area of the parallelogram.
Give your answer correct to 3 significant figures.

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7
Sme Calculator6 marks

q4-vhard-4-11-sine-cosine-rule-and-area-of-triangge-edexcel-gcse-maths

A B C spaceis an acute-angled triangle.
space B A space= 7cm
B C  = 8cm

The area of triangle space A B C space is 18 cm2.

Work out the size of angle B A C.
Give your answer correct to 3 significant figures.
You must show all your working.

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