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?
پاسخ دهید
(D)
60 km
2
If a scale of a map is 1 cm to 20 km. How many cm would represent 90 km?
پاسخ دهید
(A)
4.5
3
What does the term 'bearing' describe?
پاسخ دهید
(B)
Direction
4
If a bearing is 190°, how is the reverse bearing calculated?
پاسخ دهید
(B)
Subtracting 180°
5
If the bearing of point X from point Y is 030°, what is the approximate bearing of Y from X?
پاسخ دهید
(D)
330°
6
Which items are essential for creating an accurate scale drawing?
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A
C
7
What is the bearing measurement direction on a compass?
پاسخ دهید
(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?
پاسخ دهید
(C)
25 km
9
Which instrument is essential for measuring and constructing angles to calculate bearings?
پاسخ دهید
(C)
Protractor
10
Which of the following are used to describe direction?
پاسخ دهید
(B)
Bearings
11
Which of the following is a key feature of scale drawings?
پاسخ دهید
(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?
پاسخ دهید
(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?
پاسخ دهید
(D)
15 km
14
In the context of scale drawings, what does the scale of the drawing allow you to do?
پاسخ دهید
(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?
پاسخ دهید
(C)
10.5 m
16
What do we call the angle we use to describe directions?
پاسخ دهید
(C)
Bearing
17
What is a scale used for in a drawing?
پاسخ دهید
(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?
پاسخ دهید
(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?
پاسخ دهید
(B)
72 m²
20
What is the scale if 1 cm on the drawing represents 10 km in real life?
پاسخ دهید
(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?
پاسخ دهید
(C)
240 degrees
22
If the bearing is greater than 180°, how do you calculate the reverse bearing?
پاسخ دهید
(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?
پاسخ دهید
(D)
300°
24
What are bearings used to describe?
پاسخ دهید
(D)
Direction
25
What is the reverse bearing if a bearing is 300°?
پاسخ دهید
(B)
120°
26
What is the main purpose of bearings in navigation?
پاسخ دهید
(D)
To determine direction
27
In a scale drawing, what represents the size of the drawing compared to the actual size?
پاسخ دهید
(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?
پاسخ دهید
(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?
پاسخ دهید
(B)
48 m²
30
If the scale of a drawing is 1:50, what does 2 units on the drawing represent in reality?
پاسخ دهید
(D)
100 units
31
What is the angle measurement for the direction 'East' in terms of bearing?
پاسخ دهید
(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?
پاسخ دهید
(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?
پاسخ دهید
(C)
13.5 m
34
What do bearings use as a reference point?
پاسخ دهید
(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?
پاسخ دهید
(D)
29.4 km
36
If a boat leaves port on a bearing of 285°, in which direction is the boat sailing?
پاسخ دهید
(C)
North-West
37
What does the 'scale' of a drawing define?
پاسخ دهید
(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?
پاسخ دهید
(C)
250 km
39
What is the correct way to measure a bearing?
پاسخ دهید
(C)
Clockwise from North
40
Which elements are most important in scale drawings?
پاسخ دهید
A
B
C
41
What tool is necessary to accurately measure bearings?
پاسخ دهید
(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?
پاسخ دهید
(A)
1.5 km²
43
What is the bearing if an object is directly West?
پاسخ دهید
(D)
270°
44
In a scale drawing, is the shape always the same as the object?
پاسخ دهید
(A)
Yes
45
What is the term for a drawing where the shape is preserved, but size differs?
پاسخ دهید
(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?
پاسخ دهید
(C)
Addition or subtraction of 180 degrees.
47
What tool would be most appropriate for measuring the length of lines in a scale drawing?
پاسخ دهید
(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?
پاسخ دهید
(C)
5 cm
49
What is the bearing of South?
پاسخ دهید
(C)
180°
50
What is the main advantage of a scale drawing?
پاسخ دهید
(B)
It accurately represents the size of the real object.
