A conversion graph between miles and kilometres shows that 5 miles is equivalent to 8 kilometres. Using the same conversion, how many kilometres are equivalent to 25 miles?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
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These Graphs in practical situations Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Algebra and graphs (E2.9) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Use and interpret graphs in practical contexts (travel graphs, conversion graphs, kinematics at Extended); calculate distance from a speed-time graph and apply gradient as a rate of change.
A conversion graph between miles and kilometres shows that 5 miles is equivalent to 8 kilometres. Using the same conversion, how many kilometres are equivalent to 25 miles?
On a speed-time graph for a car, the speed is constant at 60 km/h from t = 0 to t = 2 hours. Find the distance travelled by the car in this time.
[1 mark]A car accelerates uniformly from rest (0 m/s) to 20 m/s over 8 seconds. Find the distance travelled during this acceleration.
[2 marks]A distance-time graph for a journey shows a straight line from (0, 0) to (3, 150), where t is measured in hours and d in kilometres. Find the speed during this journey.
[2 marks]On a speed-time graph, what does a horizontal line at v = 30 m/s represent?
A cyclist's journey is described as follows: from t = 0 to t = 30 min she cycles at 20 km/h; from t = 30 min to t = 45 min she stops; from t = 45 min to t = 75 min she cycles at 16 km/h.
Find the total distance travelled by the cyclist.
[2 marks]Find the average speed for the entire journey. Give your answer correct to 1 decimal place.
[1 mark]A speed-time graph shows a car's speed increasing uniformly from 5 m/s to 35 m/s over 12 seconds. Find the acceleration of the car.
[2 marks]A train accelerates uniformly from rest to 30 m/s in 20 s, then travels at a constant 30 m/s for 60 s, then decelerates uniformly to rest in 40 s. Find the total distance travelled by the train.
[2 marks]