Graphs in Practical Situations — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[3](a)A car travels 100 km in 2 hours at constant speed on a distance-time graph. Calculate the gradient of the graph, and state what it represents.

Question 2

[2](a)A speed-time graph shows a car accelerating uniformly from 0 to 20 m/s in 5 s. Calculate the gradient, and state what it represents.

Question 3

[2](a)A distance-time graph shows a straight line from (0,0) to (4,100), where distance is in km and time in hours. Calculate the speed represented.

Question 4

[2](a)A speed-time graph shows speed decreasing steadily from 40 m/s to 10 m/s over 10 s. Calculate the gradient, and state what it represents.

Question 5

[1](a)A distance-time graph is horizontal for part of a journey. State what this represents about the object's motion.

Question 6

[1](a)A speed-time graph consists of a straight line. State how you would find the distance travelled from this graph.

Question 7

[1](a)State the gradient of a horizontal line on a distance-time graph, and what it represents.

Question 8

[2](a)A point on the line y = 3x − 2 has x = −1. Find the corresponding y-value.

Question 9

[2](a)An object moves at a constant speed of 20 m/s for 5 s. Calculate the area under its speed-time graph, and state what this area represents.

Question 10

[1](a)State what a negative gradient on a distance-time graph would mean (in practical terms).

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