iGCSE Mathematics (0580) :C2.10 Interpret and use graphs in practical situations including travel graphs and conversion graphs. iGCSE Style Questions Paper 1

Question

The travel graph shows Lola’s journey from her house to Sarah’s house.
(a) Lola stopped at a shop on the way to Sarah’s house.
For how many minutes did she stop?

Answer/Explanation

Ans: 10

(b) Write down the time she arrived at Sarah’s house.

Answer/Explanation

Ans: 15 10 

(c) Calculate Lola’s average speed from leaving the shop to arriving at Sarah’s house.
Give your answer in kilometres per hour.

Answer/Explanation

Ans: 9 [km/h] 

(d) Lola stayed at Sarah’s house for 1 hour 20minutes.
She then cycled home without stopping.
Her journey took 50minutes.
Complete the travel graph.

Answer/Explanation

Ans: horizontal line from (15 10, 12) to (16 30, 12)
          line from (16 30, 12) to (17 20, 0) 

Question

The graph can be used to convert between miles and kilometres.

A train travels 24 miles in 20 minutes.
Find its average speed in kilometres per hour.

Answer/Explanation

Ans: 114 to 117 

Question

(a) Maria travels by bus to the shopping mall.
She leaves home at 11 50 and arrives at the shopping mall at 1217.
How many minutes does it take Maria to travel from home to the shopping mall?

Answer/Explanation

Ans: 27 min

(b) 

Maria walks home from the shopping mall.
The travel graph shows part of her journey.
(i) Maria stops at her friend’s house on the way home.
How far from the shopping mall does her friend live?

Answer/Explanation

Ans: 2 km

(ii) Maria leaves her friend’s house at 1455.
She walks the rest of the way home at a constant speed of 4km/h.
Complete the travel graph.

Answer/Explanation

Ans: Ruled line from 14 55 to 15 40

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