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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?
Answer
A
C
2
A straight, upward-sloping line on a conversion graph indicates:
Answer
(A)
A direct relationship between the two units.
3
In the travel graph, what is happening in the segment labeled E to F?
Answer
(C)
The truck is decelerating.
4
Which calculation will give us the speed when speed is not constant?
Answer
(C)
Finding the gradient of the curve
5
What does the term 'gradient' represent in the context of a conversion graph?
Answer
(A)
The rate of change between the two units.
6
What does the gradient of a distance-time graph represent?
Answer
(B)
Speed
7
The gradient of a speed-time graph gives:
Answer
(C)
Acceleration
8
On a speed-time graph, what kind of movement is indicated by a line with a positive gradient?
Answer
(C)
Constant Acceleration
9
What would a downward sloping line on a speed-time graph represent?
Answer
(B)
Deceleration
10
In a speed-time graph, a line that slopes downward indicates that the object is:
Answer
(B)
Decelerating
11
What is indicated by a horizontal line on a speed-time graph?
Answer
(A)
Constant Speed
12
On a distance-time graph, a line sloping downwards shows:
Answer
(C)
Movement towards the starting point.
13
What type of motion does a line with a constant gradient on a speed-time graph represent?
Answer
(B)
Constant acceleration
14
What is the unit for acceleration if speed is measured in m/s and time is measured in seconds?
Answer
(B)
m/s²
15
In a travel graph, what does the slope of the line represent?
Answer
(C)
Speed
16
What do we get from a conversion graph?
Answer
(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?
Answer
(B)
The units are inversely proportional.
18
What do you determine by calculating the gradient (slope) of a distance-time graph?
Answer
(B)
Speed
19
In a distance-time graph, what does the slope of the line indicate?
Answer
(B)
Speed
20
What would the area under the graph on a speed-time graph represent?
Answer
(B)
Distance traveled
21
If a speed-time graph shows a horizontal line, what does this indicate about the object's motion?
Answer
(C)
The object is moving at a constant speed.
22
In a speed-time graph, what does a horizontal line represent?
Answer
(B)
Constant speed
23
How can you find the speed of an object moving along a distance-time graph?
Answer
(C)
By calculating the gradient of the graph.
24
In the context of travel graphs, a non-horizontal line indicates that:
Answer
(C)
The object is changing its speed.
25
What does the gradient of a straight line on a speed-time graph represent?
Answer
(C)
Acceleration
26
How can you determine the speed of an object at a specific point in time from a speed-time graph?
Answer
(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?
Answer
(C)
Decelerating
28
What does the rate of change on a speed-time graph represent?
Answer
(C)
Acceleration
29
Which term describes the process of an object increasing its speed?
Answer
(C)
Acceleration
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?
Answer
(C)
Drawing a tangent
31
A line that curves downwards on a distance-time graph implies:
Answer
(B)
Deceleration or decreasing speed.
32
Which of the following correctly describes the meaning of the gradient on a speed-time graph?
Answer
(C)
Acceleration
33
In a speed-time graph, what represents the state of zero acceleration?
Answer
(A)
A horizontal line.
34
On a travel graph, what does a horizontal line segment indicate about the object's movement?
Answer
(C)
The object is stationary
35
What does the area under a speed-time graph represent?
Answer
(C)
Distance
36
How do you calculate the acceleration of an object from a speed-time graph?
Answer
(B)
By finding the gradient of the graph.
37
If two units are directly proportional, what will their conversion graph look like?
Answer
(D)
A straight line through the origin
38
If a conversion graph results in a straight line, this means:
Answer
(C)
There is a direct, proportional relationship between the units.
39
Which quantity is represented by the area under a speed-time graph?
Answer
(B)
Distance
40
What would a horizontal line on a speed-time graph represent?
Answer
(B)
Constant speed
41
What does a zero gradient represent on a distance-time graph?
Answer
(C)
The object is stationary
42
The area under a speed-time graph provides which of the following information?
Answer
(B)
Distance traveled.
43
Which of the following can you determine from a speed-time graph?
Answer
A
B
C
44
What is the primary purpose of a conversion graph?
Answer
(B)
To convert units from one to another.
45
What is happening if a travel graph has a slope that is getting steeper?
Answer
(B)
Acceleration
46
What information is provided by the 'Note' in the given text?
Answer
(A)
Definition of deceleration
47
Which of the following statements are true regarding the slope of a distance-time graph?
Answer
A
B
C
48
In a distance-time graph, what would a horizontal line represent?
Answer
(B)
The object stopped.
49
In a conversion graph, how is the relationship between the two units represented?
Answer
(B)
By the gradient of the line.
50
What does the area under a speed-time graph represent?
Answer
(B)
Distance