Interpreting Real-Life Graphs
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Interpreting Real-Life Graphs — Free MYP4 Mathematics (Extended) Practice Questions

1QuestionConnecting Graphs to Real SituationsConcept Practice
2 marks~3 minCriterion D
A delivery driver completes a 60 km urban route. A distance–time graph of the journey shows three distinct sections: a steep rise, a horizontal segment, and a gentler rise.
a
Interpret what each section of the graph reveals about the driver's speed during the journey. [1]
b
The driver's average speed for the entire journey is calculated as total distancetotal time\dfrac{\text{total distance}}{\text{total time}}. Advise the logistics manager whether this value is sufficient to plan reliable delivery schedules for similar future routes. [1]
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Solutions

2QuestionConnecting Graphs to Real SituationsAssessment Practice
4 marks~6 minCriterion C
A cyclist rides a hilly route. Her distance from the start is recorded every hour:

Time (h): 0, 1, 2, 3, 40,\ 1,\ 2,\ 3,\ 4
Distance (km): 0, 12, 20, 24, 300,\ 12,\ 20,\ 24,\ 30

A second cyclist rides a flat road at constant speed:

Time (h): 0, 1, 2, 3, 40,\ 1,\ 2,\ 3,\ 4
Distance (km): 0, 15, 30, 45, 600,\ 15,\ 30,\ 45,\ 60
a
Construct a distance–time graph showing both cyclists on the same axes. [1]
b
Explain why one graph is a straight line and the other is a curve, referring to each cyclist's speed. [2]
c
The hilly-route cyclist claims she maintained an "acceptable average speed" of at least 88 km/h throughout every individual hour of her journey. Justify whether this claim is valid. [1]
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Solutions

3QuestionConnecting Graphs to Real SituationsConcept Practice
4 marks~6 minCriterion A
A car journey is shown on the distance–time graph.

- Segment A: (0,0)(0, 0) to (2,120)(2, 120)
- Segment B: (2,120)(2, 120) to (5,120)(5, 120)
- Segment C: (5,120)(5, 120) to (7,0)(7, 0)

Time is in hours; distance is in kilometres.
a
Calculate the speed of the car during Segment A. [1]
b
Calculate the total distance travelled during the entire journey. [1]
c
The legal speed limit on this road is 55 km/h. Advise the driver whether they broke the speed limit at any point during the journey, justifying your answer with the speeds from all three segments. [2]
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Solutions

4QuestionEstimating Values and Trends from GraphsAssessment Practice
4 marks~6 minCriterion D
A car travels away from a city. At t=0t = 0, the car is 20 km from the city. The graph shows the car's distance from the city over 6 hours. The relationship is linear.
a
Use the graph to estimate the distance of the car from the city at t=2.5t = 2.5 hours. [1]
b
Use the graph to estimate the time at which the car is 120 km from the city. [1]
c
The speed limit on this road is 30 km/h. Using the formula

average speed=distance travelledtime taken\text{average speed} = \frac{\text{distance travelled}}{\text{time taken}}

calculate the average speed of the car between t=1t = 1 h and t=5t = 5 h, then advise a traffic officer whether the car should be flagged for exceeding the speed limit during this interval. [2]
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Solutions

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