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