IGCSEMathsCambridge (CIE)ExtendedExam QuestionsPythagoras & TrigonometryRight-Angled Triangles (Pythagoras & Trigonometry)

Right-Angled Triangles (Pythagoras & Trigonometry) (Cambridge (CIE) IGCSE Maths: Extended)

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Right-Angled Triangles (Pythagoras & Trigonometry)

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Right-Angled Triangles (Pythagoras & Trigonometry)

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1
Sme Calculator5 marks

Here is a rectangle.

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

The 8-sided shape below is made from 4 of these rectangles and 4 congruent right-angled triangles.

q2-2-medium-4-10-right-angled-triangle-edexcel-gcse-maths

Work out the perimeter of the 8-sided shape.

You must show all your working.

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2
Sme Calculator4 marks

Trianglespace A B C spacehas perimeter 20 cm.

A B space= 7 cm.

B C space= 4 cm.

By calculation, deduce whether triangle space A B C spaceis a right-angled triangle.

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3
Sme Calculator3 marks
q4-easy-4-10-right-angled-triangle-edexcel-gcse-maths

Calculate the value of x.

Give your answer as an exact value.

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1
Sme Calculator4 marks
q22-paper2-spec2025-cie-igcse-further-maths

Find the exact value of x.

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

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2
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

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3
Sme Calculator4 marks

Calculate the area of this trapezium.

cie-igcse-q17-area-trapezium

Give your answer as an exact value.

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

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1
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.

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2
Sme Calculator4 marks

The table shows some values of x and y that satisfy the equation y space equals space a space cos space x degree space plus space b

x

0

30

60

90

120

150

180

y

3

1 plus square root of 3

2

1

0

1 minus square root of 3

negative 1

Find the value of y when x = 45

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3
Sme Calculator4 marks

Simplify   fraction numerator 2 space sin space 45 degree minus tan space 45 degree over denominator 4 space tan space 60 degree end fraction

Give your answer in the form  fraction numerator square root of a minus square root of b over denominator c end fraction where a comma space b and c are integers.

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4
Sme Calculator6 marks

ADB and BCD are right-angled triangles.

BC = CD.

AD equals 10 square root of 6 space mm

Angle BAD = 30°.

tan space 30 degree equals fraction numerator 1 over denominator square root of 3 end fraction

q19b-paper5-nov2019-ocr-gcse-maths

Work out the length of BC.

...........................mm

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