Mathematics 4024 · O Level · Geometrical constructions
Geometrical constructions — practice question
The scale sketch shows field $ABCDE$. Inside the field is a stage, which is a sector of a circle with centre $C$. The scale used is $1\text{ cm}$ to $2.5\text{ m}$.
(a)[2]
Determine the actual radius of the stage.
(b(i))[2]
With compasses and a straight edge only, construct the boundary between zone $1$ and zone $2$.
(b(ii))[1]
Shade the area that shows zone $1$.
(c)[1]
The field is being used for a concert. Tickets for the concert cost $\$30.75$ each. Calculate the cost of $8$ tickets.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “roughly $7$ to $8$” …