Maths — Foundation, Unit 1

Pythagoras & Trigonometry (Edexcel IGCSE Maths): Exam Questions

Exam code:4XMAF/4XMAH

5 questions · 19 marks · ≈ 19 min

Guided practice

13 marksmedium

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.

Your answer

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24 markshard

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.

$AB=14\mathrm{cm}AD=8\mathrm{cm}$

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

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

Your answer

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34 markshard

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.

Your answer

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44 marksmedium

The diagram shows triangle $ABC$ and 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.

$AB=10\mathrm{cm}AC=8\mathrm{cm}EB=5\mathrm{cm}CD=14\mathrm{cm}ED=w\mathrm{cm}$

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

Your answer

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54 markshard

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.

$AE=7.2\mathrm{cm}BE=5.4\mathrm{cm}BC=6\mathrm{cm} \mathrm{angle}AEB=90^{\circ}$

Work out the perimeter of the shaded shape

Your answer

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