Scale Drawings (Copy)

Q1 (Non-Calculator)
On a scale drawing, 1 cm represents 2 m.
What real distance is represented by a line 4.5 cm long?

Solution:
Real distance = 4.5 × 2 = 9 m

Answer:
9 meters

Q2 (Non-Calculator)
A wall in real life is 6 m long.
Using a scale of 1 cm : 2 m, how long should you draw the wall?

Solution:
Drawing length = 6 ÷ 2 = 3 cm

Answer:
3 centimeters

Q3 (Non-Calculator)
On a map, the scale is 1 cm : 5 km.
If two towns are 15 km apart, how far apart are they on the map?

Solution:
Distance on map = 15 ÷ 5 = 3 cm

Answer:
3 centimeters

Q4 (Non-Calculator)
Measure the bearing from point A to point B if B is directly East of A.

Solution:
East bearing = 090°

Answer:
090 degrees

Q5 (Non-Calculator)
Point D is due South of point C.
What is the bearing of D from C?

Solution:
South bearing = 180°

Answer:
180 degrees

Q6 (Calculator)
The bearing of B from A is 065°.
What is the bearing of A from B?

Solution:
Bearing from B to A = 065° + 180° = 245°

Answer:
245 degrees

Q7 (Calculator)
The bearing of X from Y is 210°.
Find the bearing of Y from X.

Solution:
210° – 180° = 30°
Bearing of Y from X = 030°

Answer:
030 degrees

Q8 (Calculator)
Draw a bearing of 135° from a point P.

Solution:

• Draw a North line from P.
• Measure 135° clockwise from North using a protractor.
• Draw the line.

Answer:
Line at a 135° angle clockwise from North.

Q9 (Calculator)
On a scale drawing where 1 cm represents 5 km, draw a road 20 km long.

Solution:
Road length on drawing = 20 ÷ 5 = 4 cm

Answer:
Draw a line 4 centimeters long.

Q10 (Calculator)
Two cities are 60 km apart in real life.
On a map, the distance between them is 3 cm.
What is the scale of the map?

Solution:
Scale = Real distance ÷ Map distance
Scale = 60 ÷ 3 = 20
Scale is 1 cm : 20 km

Answer:
1 cm represents 20 kilometers