Mathematics 0580 · IGCSE · Scale drawings

Scale drawings — practice question

The scale drawing of a farmer’s field shows quadrilateral $ABCD$. Side $AD$ is parallel to side $BC$. Angle $DAB$ and angle $ABC$ are right angles.
(a)[1]

State the mathematical name of the quadrilateral.

(b(i))[2]

Complete the statement. On the diagram, 1 centimetre represents ......................... metres.

(b(ii))[3]

Calculate the actual area of the field in m$^2$.

(c)[4]

Using only a straight edge and compasses, draw the two fences on the diagram. Show every construction arc.

(d(i))[3]

Using a ruler and compasses only, construct and shade the part planted with wheat.

(d(ii))[2]

Calculate the actual area of the region planted with wheat.

Worked solution & mark scheme

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