CAIE IGCSE Mathematics Core Graphs in Practical Situations

Practise reading and completing travel or cost graphs and using gradients, horizontal sections and intersections to explain real situations.

Syllabus
2028–2030
Topic
C2.9
Level
Core

Exam points

  • read times, distances, costs and stopping intervals directly from graph coordinates
  • draw horizontal stops and ruled constant-speed sections using the stated duration or speed
  • use the intersection of two cost graphs to justify which option is cheaper over a distance

Covered syllabus points

C2.9.1 Interpret practical graphsC2.9.2 Draw graphs from data

C2.9 Graphs in practical situations question 1

[Maximum number: 1]

Question (a)

(a)
Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 1 ]

Question (i)

(i)

The graph shows the cost, $ c, of travelling a distance, d kmd \mathrm{~km}, with Saanvi's Taxis.

[ 1 ]

Question (i)

(i)

Write down the cost of a 4 km journey.
$

[ 1 ]

Question (ii)

(ii)

Krishna's Taxis cost $ 5 to hire plus $ 2 for each kilometre travelled.

Question (i)

(i)

Mrs Singh wants to hire a taxi. She says that Saanvi's Taxis are always cheaper than Krishna's Taxis.

Is Mrs Singh correct?
Give a reason for your answer. Use your graph to help you. because

C2.9 Graphs in practical situations question 2

[Maximum number: 3]

Question (a)

(a)

A boat sails from A to B.
The travel graph shows this journey.

Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 3 ]

Question (i)

(i)

Write down the time that the boat leaves A.

[ 1 ]

Question (ii)

(ii)

The boat stays at B for 20 minutes.

The boat then sails to C at a constant speed of 8 km/h8 \mathrm{~km} / \mathrm{h}.
Complete the travel graph.

[ 2 ]
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