Area & Perimeter (Cambridge International IGCSE Mathematics): Exam Questions

Calculate the area of the trapezium.

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

The diagram shows a right-angled triangle.

Calculate the area.

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

Calculate the area of this triangle.

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

Tom is tiling a floor.

The floor is a rectangle with length 600 cm and width 240 cm Each tile is a square with side 40 cm

Tom uses this method to work out the number of tiles he needs.

Give a reason why Tom’s method is wrong.

A rectangle measures 8.5 cm by 10.7 cm, both correct to 1 decimal place.

Calculate the upper bound of the perimeter of the rectangle.

............................................ cm

The diagram shows a right-angled triangle.

Calculate the perimeter.

............................................ cm

The sides of a square are 15.1 cm, correct to 1 decimal place.

Find the upper bound of the area of the square.

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

The area of a square is 42.5 cm², correct to the nearest 0.5 cm².

Calculate the lower bound of the length of the side of the square.

.......................................... cm

*ABDF *is a parallelogram and *BCDE *is a straight line. AF = 12cm, *AB *= 9 cm, angle *CFD *= 40° and angle FDE = 80°.

i) Calculate the height, $h$, of the parallelogram.

$h=$ ........................................... cm [2]

ii) Calculate the area of the trapezium ABCF*.

.......................................... cm² [3]

The sides of an isosceles triangle are measured correct to the nearest millimetre. One side has a length of 8.2 cm and another has a length of 9.4 cm.

Find the largest possible value of the perimeter of this triangle.

............................................ cm

Find the area of a regular hexagon with side length 7.4 cm.

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

The diagram shows a shaded region $T$ formed by removing an equilateral triangle$PQR$from a regular hexagon $ABCDEF$.

The points $P$ and $Q$ lie on $AB$ such that $AB=1.5\times PQ$.

Given that the area of region $T$ is $72\sqrt{3}\mathrm{cm}^{2}$ work out the length of $PQ$.

......................................................$\mathrm{cm}$