Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

In triangle $PQR$, the lengths are $PR = 7.5$ cm and $QR = 6$ cm.
(a(i))[2]

Construct triangle $PQR$ with ruler and compasses only. The line $PQ$ has already been drawn for you.

(a(ii))[2]

Use measurements taken from your triangle to calculate the area of triangle $PQR$.

(b(i))[3]

The diagram contains two triangles. $AB = 9.7$ cm, $BC = 6.4$ cm, $CD = 3.8$ cm and $AC = 5.3$ cm. $\angle ADC = 63^\circ$. Calculate $\angle DAC$.

(b(ii))[3]

Calculate $\angle ABC$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The intersecting arcs are correct

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI