Mathematics for IGCSE & O level - Graphs In Practical Situations (Section 1)
1
Which of the following statements is/are TRUE regarding the slope of a speed-time graph?
2
A straight, upward-sloping line on a conversion graph indicates:
Răspuns(A)
A direct relationship between the two units.
3
In the travel graph, what is happening in the segment labeled E to F?
Răspuns(C)
The truck is decelerating.
4
Which calculation will give us the speed when speed is not constant?
Răspuns(C)
Finding the gradient of the curve
5
What does the term 'gradient' represent in the context of a conversion graph?
Răspuns(A)
The rate of change between the two units.
6
What does the gradient of a distance-time graph represent?
7
The gradient of a speed-time graph gives:
8
On a speed-time graph, what kind of movement is indicated by a line with a positive gradient?
9
What would a downward sloping line on a speed-time graph represent?
10
In a speed-time graph, a line that slopes downward indicates that the object is:
11
What is indicated by a horizontal line on a speed-time graph?
12
On a distance-time graph, a line sloping downwards shows:
Răspuns(C)
Movement towards the starting point.
13
What type of motion does a line with a constant gradient on a speed-time graph represent?
14
What is the unit for acceleration if speed is measured in m/s and time is measured in seconds?
15
In a travel graph, what does the slope of the line represent?
16
What do we get from a conversion graph?
Răspuns(B)
Estimates of conversion values
17
If a conversion graph shows a line with a negative gradient, what does this suggest about the relationship between the two units?
Răspuns(B)
The units are inversely proportional.
18
What do you determine by calculating the gradient (slope) of a distance-time graph?
19
In a distance-time graph, what does the slope of the line indicate?
20
What would the area under the graph on a speed-time graph represent?
21
If a speed-time graph shows a horizontal line, what does this indicate about the object's motion?
Răspuns(C)
The object is moving at a constant speed.
22
In a speed-time graph, what does a horizontal line represent?
23
How can you find the speed of an object moving along a distance-time graph?
Răspuns(C)
By calculating the gradient of the graph.
24
In the context of travel graphs, a non-horizontal line indicates that:
Răspuns(C)
The object is changing its speed.
25
What does the gradient of a straight line on a speed-time graph represent?
26
How can you determine the speed of an object at a specific point in time from a speed-time graph?
Răspuns(C)
Read the value on the y-axis at that time
27
What does a negative gradient on a speed-time graph indicate about the car's motion?
28
What does the rate of change on a speed-time graph represent?
29
Which term describes the process of an object increasing its speed?
30
What can be used to estimate the rate of change at a point on a speed-time graph if the line is not straight?
31
A line that curves downwards on a distance-time graph implies:
Răspuns(B)
Deceleration or decreasing speed.
32
Which of the following correctly describes the meaning of the gradient on a speed-time graph?
33
In a speed-time graph, what represents the state of zero acceleration?
34
On a travel graph, what does a horizontal line segment indicate about the object's movement?
35
What does the area under a speed-time graph represent?
36
How do you calculate the acceleration of an object from a speed-time graph?
Răspuns(B)
By finding the gradient of the graph.
37
If two units are directly proportional, what will their conversion graph look like?
Răspuns(D)
A straight line through the origin
38
If a conversion graph results in a straight line, this means:
Răspuns(C)
There is a direct, proportional relationship between the units.
39
Which quantity is represented by the area under a speed-time graph?
40
What would a horizontal line on a speed-time graph represent?
41
What does a zero gradient represent on a distance-time graph?
42
The area under a speed-time graph provides which of the following information?
43
Which of the following can you determine from a speed-time graph?
44
What is the primary purpose of a conversion graph?
Răspuns(B)
To convert units from one to another.
45
What is happening if a travel graph has a slope that is getting steeper?
46
What information is provided by the 'Note' in the given text?
Răspuns(A)
Definition of deceleration
47
Which of the following statements are true regarding the slope of a distance-time graph?
48
In a distance-time graph, what would a horizontal line represent?
49
In a conversion graph, how is the relationship between the two units represented?
Răspuns(B)
By the gradient of the line.
50
What does the area under a speed-time graph represent?
