iGCSE Mathematics (0580) : C4.3 Read and make scale drawings. iGCSE Style Questions Paper 1

Question



(a) Construct the locus of points, inside the triangle, that are 5cm from B.
(b) Construct the locus of points, inside the triangle, that are equidistant from AB and BC.
(c) Shade the region, inside the triangle, containing points that are
• more than 5cm from B
and
• nearer to AB than to BC.

Answer/Explanation

Ans:

(a) Accurate arc, centre B, radius 5cm meeting both BA and BC
(b) Accurate bisector through angle B with 2 pairs of correct arcs and reaching to at least AC
(c) Correct region identified

Question

The diagram shows a rectangle ABCD.

(a) In this part, use a straight edge and compasses only and show your construction arcs.
Construct
(i) the bisector of angle DCB,
(ii) the perpendicular bisector of DC.
(b) Shade the region containing the points inside the rectangle that are
• nearer to D than to C
and
• nearer to BC than to DC.

Answer/Explanation

Ans:

(a) (i) Correct ruled bisector
with two pairs of correct arcs
(ii) Correct ruled perpendicular bisector
with two pairs of correct arcs

(b) Correct region shaded

Question



Choose the mathematical word from the list to complete this statement.
Pentagon A is …………………………………………………… to pentagon B.

Answer/Explanation

Ans:

Congruent

Question

Shape A is shown on the grid.


On the grid, enlarge shape A by scale factor 3.

Answer/Explanation

Correct ruled enlargement

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