Mathematics for IGCSE & O level - Scale Drawings (Section 2)
1
On a map, the distance between two cities is 6 cm. The scale is 1 cm = 10 km. What is the actual distance?
Answer
(D)
60 km
2
If a scale of a map is 1 cm to 20 km. How many cm would represent 90 km?
Answer
(A)
4.5
3
What does the term 'bearing' describe?
Answer
(B)
Direction
4
If a bearing is 190°, how is the reverse bearing calculated?
Answer
(B)
Subtracting 180°
5
If the bearing of point X from point Y is 030°, what is the approximate bearing of Y from X?
Answer
(D)
330°
6
Which items are essential for creating an accurate scale drawing?
Answer
A
C
7
What is the bearing measurement direction on a compass?
Answer
(C)
Clockwise from North
8
If the scale is 1 cm: 10 km and the distance on a map is 2.5 cm, what is the actual distance?
Answer
(C)
25 km
9
Which instrument is essential for measuring and constructing angles to calculate bearings?
Answer
(C)
Protractor
10
Which of the following are used to describe direction?
Answer
(B)
Bearings
11
Which of the following is a key feature of scale drawings?
Answer
(C)
They have the same shape as the object they represent.
12
A scale drawing of a truck has a scale of 1 cm to 2 m. If the truck on the drawing is 4 cm long, what is the actual length of the truck?
Answer
(D)
8 m
13
The scale on a map is 1 cm to 2.5 km. Two points are 6 cm apart on the map. What is the actual distance between the two points?
Answer
(D)
15 km
14
In the context of scale drawings, what does the scale of the drawing allow you to do?
Answer
(B)
To determine the actual size.
15
A plan of a building has a scale of 1 cm to 2 m. A wall is 3.5 cm long on the plan. How long is the wall in real life?
Answer
(C)
10.5 m
16
What do we call the angle we use to describe directions?
Answer
(C)
Bearing
17
What is a scale used for in a drawing?
Answer
(B)
To find the true size of the original object.
18
On a plan of a house, a room is 5 cm by 4 cm. If the scale is 1 cm to 2.5 m, what is the real area of the room?
Answer
(C)
50 m²
19
If a room measures 4 cm by 6 cm on a scale drawing where 1 cm represents 3 m, what is the real-life area of the room?
Answer
(B)
72 m²
20
What is the scale if 1 cm on the drawing represents 10 km in real life?
Answer
(D)
1 cm to 10 km
21
If the bearing of X from Y is 120 degrees, what is the bearing of Y from X?
Answer
(C)
240 degrees
22
If the bearing is greater than 180°, how do you calculate the reverse bearing?
Answer
(B)
Subtract 180°
23
If the bearing of point A from point B is 060°, what is the bearing of point B from point A?
Answer
(D)
300°
24
What are bearings used to describe?
Answer
(D)
Direction
25
What is the reverse bearing if a bearing is 300°?
Answer
(B)
120°
26
What is the main purpose of bearings in navigation?
Answer
(D)
To determine direction
27
In a scale drawing, what represents the size of the drawing compared to the actual size?
Answer
(B)
The scale
28
A map uses a scale of 1 cm to 50 km. Two points are 3.5 cm apart on the map. What is the actual distance between the two points?
Answer
(B)
175 km
29
A rectangle has dimensions 2 cm by 3 cm on a scale drawing. If the scale is 1 cm = 4 m, what is the actual area?
Answer
(B)
48 m²
30
If the scale of a drawing is 1:50, what does 2 units on the drawing represent in reality?
Answer
(D)
100 units
31
What is the angle measurement for the direction 'East' in terms of bearing?
Answer
(B)
090°
32
The real-life width of a room is 6m. On a scale drawing with a scale of 1 cm to 3 m, what will the width of the room be?
Answer
(B)
2 cm
33
A drawing of a garden uses a scale of 1 cm to 3 m. The garden path is 4.5 cm long on the drawing. What is the real-life length of the path?
Answer
(C)
13.5 m
34
What do bearings use as a reference point?
Answer
(D)
North
35
What is the real distance if a distance on a map is 4.2 cm and the scale is 1 cm to 7 km?
Answer
(D)
29.4 km
36
If a boat leaves port on a bearing of 285°, in which direction is the boat sailing?
Answer
(C)
North-West
37
What does the 'scale' of a drawing define?
Answer
(C)
The ratio of drawing size to actual size
38
On a map, the distance between two cities is 10 cm. If the map scale is 1 cm:25 km, what is the actual distance in kilometers?
Answer
(C)
250 km
39
What is the correct way to measure a bearing?
Answer
(C)
Clockwise from North
40
Which elements are most important in scale drawings?
Answer
A
B
C
41
What tool is necessary to accurately measure bearings?
Answer
(C)
A protractor
42
A park's dimensions are 10 cm by 15 cm on a map with a scale of 1 cm to 100 m. What is the park's real area in square kilometers?
Answer
(A)
1.5 km²
43
What is the bearing if an object is directly West?
Answer
(D)
270°
44
In a scale drawing, is the shape always the same as the object?
Answer
(A)
Yes
45
What is the term for a drawing where the shape is preserved, but size differs?
Answer
(B)
Scale drawing
46
If you know the bearing of a point from a location, and need to find the bearing of the location from the point, what mathematical operation will you likely use?
Answer
(C)
Addition or subtraction of 180 degrees.
47
What tool would be most appropriate for measuring the length of lines in a scale drawing?
Answer
(B)
Ruler
48
A real-life distance is 40 km. On a map with a scale of 1 cm to 8 km, what will the distance be on the map?
Answer
(C)
5 cm
49
What is the bearing of South?
Answer
(C)
180°
50
What is the main advantage of a scale drawing?
Answer
(B)
It accurately represents the size of the real object.
