CAIE IGCSE Mathematics Core C2.9 Graphs i…uations

Covered syllabus points

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

[Maximum number: 4]

(a)

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

Figure for Question (a) — CAIE IGCSE Mathematics Core

[ 4 ]

(i)

Write down the time that the boat leaves A.

[ 1 ]

(ii)

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

[ 1 ]

(iii)

The boat stays at B for 20 minutes.

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

[ 2 ]

Ruled lines from
(1100,6) to (1120,6)
and (1120,6) to (1250,18)

2

B1 for each line
If 0 scored, SC1 for
(their1120, 6) to
(their $1120+1 \frac{1}{2} h, 18$ )

[Maximum number: 3]

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

Figure for Question 2 — CAIE IGCSE Mathematics Core

(a)

Write down the time Tim leaves work.

[ 1 ]

(b)

Tim stops on the way home.

[ 2 ]

(i)

Find how far Tim travels before he stops. km

[ 1 ]

(ii)

Find how long Tim stops for. min [1]

[ 1 ]

[Maximum number: 5]

The scale drawing shows the positions of Kendra's house, K, and Latika's house, L, on a map.

Figure for Question 3 — CAIE IGCSE Mathematics Core

(a)

Kendra and Latika leave Latika's house at 1500 to go to the cinema.

(a)

They walk for 20 minutes at a constant speed of $4.5 \mathrm{~km}/\mathrm{h}$ .

Work out the distance they walk.
km

(b)

After walking for 20 minutes, they then run a distance of 6 km at a constant speed for 40 minutes.

Draw their journey to the cinema on the travel graph.

[ 3 ]

(a)
1.5

(b)
Ruled lines
(1500,0) to (1520,1.5)(1520,1.5) to (1600,7.5)

B1FT for (1500,0) to $(1520,\text{their }1.5)$
B1FT for $(1520,\text{their }1.5)$ to $(1600,\text{their }1.5+6)$

(b)

Kendra and Latika leave the cinema at 1805 .

They travel back to Latika's house in a taxi at a constant speed of $30 \mathrm{~km} / \mathrm{h}$ .
Complete the travel graph.

[ 2 ]

Ruled lines
(1600,7.5) to (1805,7.5)(1805,7.5) to (1820,0)

B1FT line from their point to $(1805,\text{their }7.5)$
B1FT line back to distance 0 with correct gradient

[Maximum number: 2]

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

Figure for Question 4 — CAIE IGCSE Mathematics Core

The boat stays at B for 20 minutes.

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

Ruled lines from
(1100,6) to (1120,6)
and (1120,6) to (1250,18)

2

B1 for each line
If 0 scored, SC1 for
(their1120, 6) to
(their $1120+1 \frac{1}{2} h, 18$ )

All question bank results loaded

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

Covered syllabus points

Question 1

Question (a)

Question (i)

Question (ii)

Question (iii)

Question 2

Question (a)

Question (b)

Question (i)

Question (ii)

Question 3

Question (a)

Question (b)

Question 4