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

Exam code: 4MA1

26 mins7 questions
1
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4 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.

2
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3 marks

Calculate the size of angle x.

Right-angled triangle with a side of 12 cm next to an angle labelled x and 15 as the hypotenuse.

Give your answer correct to 1 decimal place.

x=............°

3
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3 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.

4
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4 marks

The diagram shows right-angled triangle ABD

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

AB = 14 cm       AD = 8 cm

C is the point on BD such that angle BAC = 38°

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

5
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4 marks

The diagram shows triangle  ABCand triangle  ECD

Triangles ABC and CED, with ACD forming a straight line, point B lying on CE, and CE being perpendicular to AD. AB=10cm, AC=8 cm, BE=5cm, CD=14cm, and DE=w cm. Not to scale.

ACD and  EBC  are straight lines.

AB=10 cm   AC=8 cm   EB=5 cm   CD=14 cm   ED=w cm

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

6
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4 marks

The diagram shows a shaded shape AEBCD made by removing triangle AEB from rectangle ABCD.

Shaded quadrilateral ABCD with a diagonal AE. BC is 6 cm, AE is 7.2 cm, BE is 5.4 cm, with a right angle at E. Diagram not to scale.

AE = 7.2 cm   BE = 5.4 cm    BC = 6cm    angle AEB = 90°

Work out the perimeter of the shaded shape

7
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4 marks

The diagram shows an isosceles triangle.

Triangle with two sides measuring 11cm and the base 15cm, outlined in black on a white background.

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

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