Mathematics for IGCSE & O level - Scale Drawings (Section 3)
1
A map uses the scale 2 cm to 5 km. How many km is represented by 6 cm on the map?
2
A map shows a distance of 7.5 cm between two locations. The map scale is 1 cm: 20 km. What is the actual distance?
3
To find the real-world distance using a scale drawing, what information is required?
4
If two points are 5 cm apart on a map with a scale of 1 cm = 10 km, what is the real-world distance?
5
What type of angle is used to represent a bearing?
6
What is the reverse bearing of 070°?
7
A rectangular field measures 6 cm by 8 cm on a map. If the map scale is 1 cm represents 10 m, what is the actual area of the field?
8
In the context of bearings, where do you start measuring?
9
What is the real length of an object if it measures 7 cm on a drawing with a scale of 1 cm to 4.5 m?
10
What does a three-figure bearing look like?
Answer(B)
It is written with three digits.
11
If point A is 075° from point B, what is the bearing of point B from point A?
12
What is measured clockwise from North when expressing a bearing?
13
On a scale drawing, what does a scale of 1:100 mean?
Answer(B)
1 unit on the drawing represents 100 units in reality.
14
What is the relationship between the shape of the scale drawing and the original object?
15
If the bearing of B from A is 310 degrees, what is the bearing of A from B?
16
What tool is essential, besides the scale, for accurately using a scale drawing?
17
In a sketch map, is the scale essential for determining real-world distances and angles?
Answer(A)
Yes, the scale is essential
18
If point A is on a bearing of 045° from point B, what can you say about point B's bearing from point A?
19
What is the main purpose of using a scale in drawing?
Answer(B)
To represent a real object accurately.
20
What do you need to use along with a ruler for the creation or use of scale drawings?
21
What are the minimum number of digits required when writing three-figure bearings?
22
If the bearing of A from B is 200°, what is the bearing of B from A?
23
If the scale is 1:20, this means:
Answer(A)
1 unit in the drawing is 20 units in reality.
24
Which angle is used to calculate a bearing?
25
If a distance on a map is 2.5 cm and the map scale is 1 cm to 4 km, what is the real distance?
26
What is the bearing of A from B, if the bearing of B from A is 250°?
27
A drawing of a house has a scale of 1 cm to 2 m. The living room on the drawing is 5 cm long. What is the real-life length of the living room?
28
In a scale drawing, the scale is 1:50. This means:
Answer(A)
1 unit on the drawing represents 50 units in reality.
29
What is the reverse bearing of 100 degrees?
30
Which of the following are essential elements for interpreting scale drawings correctly?
31
What is a key characteristic of a scale drawing?
Answer(C)
It is the same shape as the original.
32
A drawing uses a scale where 2 cm represents 5 km. If a distance measures 8 cm on the drawing, what is the actual distance?
33
On a map with a scale of 1 cm to 20 km, London and Brighton are 4 cm apart. What is the distance between the cities in real life?
34
On a drawing with a scale of 1 cm to 5 m, a room is 3.5 cm long. What is the real length of the room?
35
Which directions do we use when describing bearings?
36
What is a three-figure bearing?
Answer(C)
A bearing written with three digits (including leading zeros if necessary).
37
In a map, the distance between two places is 6 cm. If the scale is 1 cm = 15 km, then what is the actual distance?
38
On a map with a scale of 1 cm: 5 km, a river is represented by a line of 12 cm. What is the actual length of the river?
