CAIE IGCSE Mathematics Core C2.9 Graphs in Practical Situations Topic Practice

Question 1

[Maximum number: 2]

Question (a)

(a)
Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 2 ]

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.

[ 1 ]

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

[ 1 ]

Question 2

[Maximum number: 4]

Question (a)

(a)

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

Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 4 ]

Question (i)

(i)

Write down the time that the boat leaves A.

[ 1 ]

Question (ii)

(ii)

Work out how long, in minutes, it takes the boat to sail from A to B.
min [1]

[ 1 ]

Question (iii)

(iii)

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 ]

Question 3

[Maximum number: 3]

Tim drives home from work.
The travel graph shows his journey.

Figure for Question 3 — CAIE IGCSE Mathematics Core

Question (a)

(a)

Write down the time Tim leaves work.

[ 1 ]

Question (b)

(b)

Tim stops on the way home.

[ 2 ]

Question (i)

(i)

Find how far Tim travels before he stops. km

[ 1 ]

Question (ii)

(ii)

Find how long Tim stops for. min [1]

[ 1 ]
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