Pythagoras (Cambridge (CIE) IGCSE International Maths: Core): Exam Questions

Calculate $PQ$.

$PQ$ = ........................................... cm

The diagram shows a rectangle 14cm by $w$cm.
The diagonal is 23 cm.

Calculate the value of $w$.

$w=.................................................$

The diagram shows a right-angled triangle.

Calculate the value of $x$.

$x$= ...................................................

The diagram shows a right-angled triangle $ABC$.
Calculate the length of $AB$.

$AB$ = ................................................m 

The diagram shows a rectangular playground $ABCD$. $AB=23.4$m and $AC=35.1$m.

Calculate $BC$.

$BC=$ ............................ m [3]

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 

Triangles $ABC$ and $BCD$ are both right-angled triangles.

Calculate the value of $y$.

$y=$................................ 

The diagram shows a field in the shape of a trapezium. $AB=150\mathrm{m},BC=90\mathrm{m}$ and $CD=120\mathrm{m}$.
Angle $ABC$ = angle $BCD$ = $90°$.

i) Show that $AD=95m$, correct to the nearest metre.

[3]

ii)A fence is built around the perimeter of the field.

It costs $\$48$ to build each 5-metre section of the fence. Calculate the cost of building this fence.

$\$$ .................................... [3]

Sam has a rectangular pond, $ABCD$.

i) Calculate $BC$.

$BC$ = ...............................m [3]

ii) He puts a fence around the edge of the pond.
Calculate the length of the fence.

................................m [1]

The diagram shows a right-angled triangle.

Calculate the perimeter.

............................................ cm [3]

The length of the diagonal of the rectangle is 10 cm.

The width of the rectangle is 6 cm.

Work out the area of the rectangle.