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Mathematics for IGCSE & O level - Scale Drawings (Section 1)

1
If a building is 10 meters tall and drawn with a scale of 1 cm to 5 m, how tall will the building be in the drawing?
Answer
(C)
2 cm
2
When using bearings, why are three figures used?
Answer
(C)
To be consistent
3
If two cities are 40 km apart in reality and a map has a scale of 1 cm to 10 km, what distance will separate the two cities on the map?
Answer
(B)
4 cm
4
What are bearings measured from?
Answer
(C)
North
5
What is the key thing to ensure when measuring bearings with a protractor?
Answer
A
C
6
A map uses a scale of 1cm:10km. If two points are 3cm apart on the map, what is the actual distance?
Answer
(C)
30 km
7
In a scale drawing with a scale of 1:50, a line measuring 2 cm on the drawing represents what real-world distance?
Answer
(A)
1 m
8
A truck on a scale drawing is 4 cm long. The scale is 1 cm to 2 m. What is the real length of the truck?
Answer
(C)
8 m
9
What does a scale of 1:100 signify when creating a scale drawing?
Answer
(A)
Every 1 unit on the drawing equals 100 units in reality.
10
What is the correct procedure for finding the reverse bearing of a bearing?
Answer
(C)
Add 180°
11
What is a characteristic of a scale drawing regarding its shape compared to the original object?
Answer
A
C
D
12
What is the relationship between the drawing and the actual object in a scale drawing?
Answer
(C)
Same shape, different size
13
A scale drawing of a house has a scale of 1cm: 2m. If a wall in the drawing is 3cm long, how long is the actual wall in real life?
Answer
(C)
6 m
14
What are the units generally used in a scale drawing?
Answer
A
B
C
D
15
What is the purpose of a scale on a drawing?
Answer
(B)
To represent real-world distances and sizes.
16
A map has a scale of 2cm to 5km. Two towns are 4cm apart on the map. What is the real distance between them?
Answer
(D)
20 km
17
In the context of scale drawings, what does the scale 2 cm = 5 m indicate?
Answer
(B)
2 cm on the drawing represents 5 m in reality.
18
What should you do if the angle is less than 100° in bearing measurements?
Answer
(B)
Put a zero in front of the figures
19
What does a bearing describe?
Answer
(B)
Direction
20
If the bearing of point A from B is 070°. What is the bearing of B from A?
Answer
(B)
250°
21
What do you need to measure and represent bearings?
Answer
(C)
Ruler and protractor
22
Which instruments are essential for drawing and interpreting scale drawings?
Answer
(C)
Ruler and protractor
23
How many figures are used to represent bearings?
Answer
(C)
Three
24
When the bearing is less than 100°, how is it represented?
Answer
(B)
By preceding the number with a zero
25
A scale drawing has the scale 1cm : 4m. What is the actual length represented by 2.5 cm on the drawing?
Answer
(C)
10 m
26
In the context of scale drawings, what does a scale of 1 cm to 2 m mean?
Answer
(B)
1 cm on the drawing represents 2 m in real life.
27
On a scale drawing, what is important to include?
Answer
A
D
28
What statements are correct regarding bearings?
Answer
A
B
C
D
29
What is the core principle behind scale drawings?
Answer
(C)
To maintain proportion
30
What is the purpose of a scale in a drawing?
Answer
(C)
To represent the relationship between the drawing and the real object
31
What is the reverse bearing if a bearing is 200°?
Answer
(B)
70°
32
What is the main difference between a scale drawing and the original object?
Answer
(B)
They are the same shape but a different size.
33
If a bearing is greater than 180°, how is the reverse bearing found?
Answer
(B)
Subtract 180°
34
Which of the following is NOT a correct statement regarding scale drawings?
Answer
(C)
Scale drawings have the same measurements as the original object.
35
What information does the scale of a drawing provide?
Answer
B
C
36
What is a key difference between a scale drawing and a real-life object?
Answer
(B)
They are the same shape, but different size
37
If a boat leaves port and sails 10 km on a bearing of 285°, what would you sketch showing the direction?
Answer
(C)
A line at 105 degrees from North
38
If a bearing is 220°, what calculation should you use to find the reverse bearing?
Answer
(B)
Subtract 180°
39
What does it mean for a bearing to have three figures?
Answer
B
C
40
If a scale drawing uses the scale 1 cm to 2 m, and an object's length is 5 cm on the drawing, what is the actual length of the object?
Answer
(C)
10 m
41
What is the three-figure bearing 7° expressed as?
Answer
(B)
007°
42
In a scale drawing, what aspect of the original object is maintained?
Answer
(B)
The shape
43
What is crucial in creating an accurate scale drawing?
Answer
A
B
D
44
Which of the following is a key element in a scale drawing?
Answer
(B)
Maintaining correct proportions.
45
Which tools are most essential for creating a scale drawing?
Answer
(C)
Ruler and protractor
46
What is the key property of scale drawings compared to the original object?
Answer
(C)
Same shape, different size
47
What do three-figure bearings refer to?
Answer
(B)
Bearing measurements with three figures, such as 045°.
48
In a scale drawing, if 1 cm represents 5 meters, what does 4 cm represent?
Answer
(C)
20 m
49
In a scale drawing, the real-world length of an object and its representation on the drawing are:
Answer
(B)
Proportional
50
What is the purpose of a protractor when working with scale drawings and bearings?
Answer
(B)
To measure angles