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Mathematics for IGCSE & O level - Graphs In Practical Situations (Section 3)

1
What type of graph should be used to show a journey?
Answer
(B)
Travel graph
2
What do you call the rate of change of speed?
Answer
(B)
Acceleration
3
What is the speed of an object if it is at rest?
Answer
(B)
0 m/s
4
What do the units of area under a speed-time graph represent?
Answer
(C)
Distance
5
What does a curved line on a speed-time graph indicate?
Answer
(C)
Changing acceleration
6
What does the area under a speed-time graph represent?
Answer
(B)
Distance
7
Which of the following is an example of deceleration?
Answer
(C)
A car braking to a stop
8
What does the term "deceleration" mean?
Answer
(C)
Decreasing speed
9
What information does the slope (gradient) of a distance-time graph provide?
Answer
(B)
Speed
10
What is represented by the slope of a speed-time graph?
Answer
(C)
Acceleration
11
If the speed-time graph is a straight line, what does it suggest about the acceleration?
Answer
(B)
Acceleration is constant
12
What does a downward slope on a speed-time graph represent?
Answer
(B)
Deceleration
13
If a train is slowing down, which term best describes its motion?
Answer
(B)
Deceleration
14
What is shown on the horizontal axis of a distance-time graph?
Answer
(B)
Time
15
Which of the following is/are key points mentioned in the provided text?
Answer
A
B
C
D
16
Which of the following is true about a speed-time graph that curves upwards?
Answer
(C)
The object's acceleration is increasing.
17
If the speed of an object is increasing uniformly, what will the shape of its speed-time graph be?
Answer
(B)
A straight line with a positive slope.
18
What is the correct formula to calculate the gradient in a speed-time graph?
Answer
(B)
Gradient = change in speed / change in time
19
What is the unit of measurement for acceleration if speed is measured in meters per second (m/s) and time in seconds (s)?
Answer
(C)
m/s²
20
What is a key feature of a conversion graph used for calculating the value of different currencies?
Answer
(B)
A straight line indicating a constant exchange rate.
21
What is the main relationship shown by a speed-time graph?
Answer
(C)
Speed and time
22
What information is plotted on the axes of a travel graph?
Answer
(B)
Distance and time
23
Which of the following can be determined by examining a travel graph?
Answer
A
B
C
24
What type of relationship is illustrated by a straight line on a conversion graph?
Answer
(B)
Linear
25
What does a speed-time graph show?
Answer
(C)
Speed against time
26
If the distance traveled is 600 meters and the time taken is 20 seconds. Find the speed.
Answer
(A)
30 m/s
27
If the speed-time graph has a straight line with a positive slope, what is happening?
Answer
(B)
Constant acceleration
28
In a speed-time graph, what does the value on the y-axis represent?
Answer
(C)
Speed
29
If an object's motion results in a curved line on a distance-time graph, which statement best describes its motion?
Answer
(B)
The object is accelerating.
30
Which of the following can be determined from a speed-time graph?
Answer
A
B
C
31
If a conversion graph yields a curved line, what does this imply about the relationship between the units?
Answer
(C)
A non-linear relationship
32
On a travel graph, what does a horizontal line represent?
Answer
(B)
The object is stationary
33
Which units will we get if you multiply speed by time?
Answer
(C)
meters
34
In the context of a conversion graph, if the gradient is greater than 1, what does this indicate about the conversion rate?
Answer
(C)
The conversion rate is greater than 1.
35
Which of the following statements about speed-time graphs is/are correct?
Answer
A
B
C
36
How do you find the distance traveled during a period of constant speed on a speed-time graph?
Answer
(B)
Find the area of the rectangle formed
37
What is the main purpose of a travel graph?
Answer
(D)
All of the above
38
How is speed calculated from a distance-time graph?
Answer
(B)
Gradient of the graph
39
If the gradient of the distance-time graph increases, what does this mean?
Answer
(B)
The object is speeding up.
40
What is the method to estimate the acceleration of an object at a given time?
Answer
(B)
Determine the gradient of the tangent to the curve at that point.
41
If a speed-time graph is a horizontal line, what does this indicate about the object's acceleration?
Answer
(C)
Zero acceleration
42
What represents the rate of change in speed?
Answer
(C)
Acceleration
43
What does a horizontal line on a speed-time graph indicate about the object's motion?
Answer
(C)
Constant speed
44
If an object is accelerating, what will the line on a speed-time graph look like?
Answer
(B)
A straight line with a non-zero slope
45
Which of these aspects can be derived from a speed-time graph?
Answer
(D)
All of the above
46
Which type of graph is most helpful in understanding how quickly an object’s speed changes over time?
Answer
(B)
Speed-time graph
47
What information can you determine from a speed-time graph about an object's journey?
Answer
A
B
C
48
What can be represented on a travel graph?
Answer
A
B
C
D
49
What does the area under the speed-time graph represent?
Answer
(B)
Distance
50
If a car is travelling at 30 m/s and then decelerates, which of these elements will change?
Answer
(D)
The rate of acceleration.