Mathematics 4024 · O Level · Geometrical constructions
Geometrical constructions — practice question
Triangle $ABC$ is drawn with sides $AB=8\text{ cm}$, $AC=7\text{ cm}$ and $BC=12\text{ cm}$.
(a(i))[2]
Construct triangle $ABC$ using a ruler and compasses. The side $AB$ has already been drawn for you.
(a(ii))[1]
Measure $\angle BAC$.
(b)[2]
Find the interior angle of a regular 12-sided polygon.
(c(i))[1]
Find $p$.
(c(ii))[2]
Find $q$.
(d)[3]
With $BC=x\text{ cm}$ given, determine an expression for the area of $PQRS$ in terms of $x$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Triangle drawn correctly with the construction arcs displayed” …