IGCSEMathsEdexcelMaths AFoundationExam Questions4. Geometry & TrigonometryPythagoras & Trigonometry

Pythagoras & Trigonometry (Edexcel IGCSE Maths A: Foundation): Exam Questions

Exam code: 4MA1

19 mins6 questions
1
Sme Calculator4 marks

The diagram shows an isosceles triangle.

Isosceles triangle with equal sides of 14.5 cm and base 20 cm, labelled as "Diagram NOT accurately drawn" on the right.

Work out the area of the triangle.

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2
Sme Calculator3 marks
Right-angled triangle with sides 8 cm and 12 cm, angle x, note stating "Diagram NOT accurately drawn."

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

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3
Sme Calculator3 marks

Solve the simultaneous equations

2 x plus 9 y equals 14.5 space 7 x plus 3 y equals 8

Show clear algebraic working.

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4
Sme Calculator4 marks

The diagram shows right-angled triangle A B D

Triangle ABCD with angle A 38°, line AB 14cm, AD 8cm, and right angle at D. Diagram labelled as not accurately drawn.

A B space equals space 14 space cm space space space space space space space A D space equals space 8 space cm

C is the point on B D such that angle B A C = 38°

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

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5
Sme Calculator1 mark

Writespace 5.87 space cross times 10 to the power of 4 as an ordinary number.

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6
Sme Calculator4 marks

The diagram shows triangle space A B Cand triangle space E C D

Triangle ADE with height BE perpendicular to AD. AC is 8 cm, CD is 14 cm, and BE is 5 cm, not to scale.

A C D and space E B C space are straight lines.

A B equals 10 space cm space space space A C equals 8 space cm space space space E B equals 5 space cm space space space C D equals 14 space cm space space space E D equals w space cm

Work out the value of space w
Give your answer correct to one decimal place.

How did you do?