Pythagoras & Trigonometry (Edexcel IGCSE Maths): Exam Questions

The diagram shows an isosceles triangle.

Work out the area of the triangle.

Calculate the size of angle $x$.

Give your answer correct to 1 decimal place.

$x=$............°

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

The diagram shows right-angled triangle $ABD$

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

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

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

The diagram shows triangle $ABC$and triangle $ECD$

$ACD$ 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.

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

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

Work out the perimeter of the shaded shape

The diagram shows an isosceles triangle.

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

........... cm²