9.2.1 Scale Drawings, PT3 Focus Practice

Question 1:
Diagram below shows polygon P drawn on a grid of equal squares with sides of 1 unit.

On the grid in the answer space, redraw polygon P using the scale $1:\frac{1}{2}.$
The grid has equal squares with sides of 1 unit.

Answer:

Question 2:
Diagram below shows polygon W drawn on a grid of equal squares with sides of 1 unit.

On the grid in the answer space, redraw polygon W using the scale 1 : 2.
The grid has equal squares with sides of 1 unit.

Answer:

Question 3:
Diagram below shows a polygon PQRSTU.



(a) If the polygon is redrawn using the scale 1 : 400, calculate the length of PQ.
(b) In the answer space, redraw the polygon using the scale 1 : 400. The grid has equal squares with sides of 1 cm.

Answer:
(a)

$\begin{array}{l}\text{Length of }PQ=\frac{4800\text{ cm}}{400}\\ =12\text{ cm}\end{array}$

(b)

Question 4:
Diagram below shows a polygon.



On the grid in the answer space, redraw the polygon using the scale 1 : 500. The grid has equal squares with sides of 1 cm.

Answer:

Actual length	Drawing
45 m = 4500 cm	4500 ÷ 500 = 9 cm
20 m = 2000 cm	2000 ÷ 500 = 4 cm
35 m = 3500 cm	3500 ÷ 500 = 7 cm
10 m = 1000 cm	1000 ÷ 500 = 2 cm

Question 5:
Diagram below shows a polygon.


(a) If the polygon is redrawn using the scale 1 : 300, calculate the length, in cm, the drawing for the side 24 m.
(b) In the answer space, redraw the polygon using the scale 1 : 300. The grid has equal squares with sides of 1 cm.

Answer:
(a)
$\begin{array}{l}\text{Length of side of the drawing}\\ =\frac{2400\text{ cm}}{300}\\ =8\text{ cm}\end{array}$

(b)