Distance-Time Graphs (Year 11)
Free printable UK Year 11 (GCSE Foundation) maths worksheet on distance-time graphs: find average speed for each stage of a journey, spot stationary sections, and compare total distance with displacement.
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Grade 10 · Math worksheet
Name
Date
Math
Distance-Time Graphs
Use each distance-time graph, described stage by stage, to find average speeds, identify stationary sections, and find total distance travelled versus overall displacement.
- 1.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 18 km at 60 minutes, still 18 km at 74 minutes, and back to 0 km at 146 minutes. Find the average speed for the FIRST stage of the journey (0 to 60 minutes), in km/h.
- 2.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 18 km at 60 minutes, still 18 km at 74 minutes, and back to 0 km at 146 minutes. What is happening between 60 and 74 minutes, and what is the speed during this stage?
- 3.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 18 km at 60 minutes, still 18 km at 74 minutes, and back to 0 km at 146 minutes. Find the average speed for the RETURN stage of the journey (74 to 146 minutes), in km/h.
- 4.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 18 km at 60 minutes, still 18 km at 74 minutes, and back to 0 km at 146 minutes. Find (a) the TOTAL DISTANCE travelled during the whole journey, and (b) the final DISPLACEMENT from home (how far from home the cyclist ends up).
- 5.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 24 km at 96 minutes, still 24 km at 106 minutes, and back to 0 km at 196 minutes. Find the average speed for the FIRST stage of the journey (0 to 96 minutes), in km/h.
- 6.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 24 km at 96 minutes, still 24 km at 106 minutes, and back to 0 km at 196 minutes. What is happening between 96 and 106 minutes, and what is the speed during this stage?
- 7.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 24 km at 96 minutes, still 24 km at 106 minutes, and back to 0 km at 196 minutes. Find the average speed for the RETURN stage of the journey (106 to 196 minutes), in km/h.
- 8.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 24 km at 96 minutes, still 24 km at 106 minutes, and back to 0 km at 196 minutes. Find (a) the TOTAL DISTANCE travelled during the whole journey, and (b) the final DISPLACEMENT from home (how far from home the cyclist ends up).
- 9.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 20 km at 80 minutes, still 20 km at 102 minutes, and back to 0 km at 150 minutes. Find the average speed for the FIRST stage of the journey (0 to 80 minutes), in km/h.
- 10.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 20 km at 80 minutes, still 20 km at 102 minutes, and back to 0 km at 150 minutes. What is happening between 80 and 102 minutes, and what is the speed during this stage?
- 11.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 20 km at 80 minutes, still 20 km at 102 minutes, and back to 0 km at 150 minutes. Find the average speed for the RETURN stage of the journey (102 to 150 minutes), in km/h.
- 12.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 20 km at 80 minutes, still 20 km at 102 minutes, and back to 0 km at 150 minutes. Find (a) the TOTAL DISTANCE travelled during the whole journey, and (b) the final DISPLACEMENT from home (how far from home the cyclist ends up).
- 13.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 12 km at 60 minutes, still 12 km at 66 minutes, and back to 0 km at 186 minutes. Find the average speed for the FIRST stage of the journey (0 to 60 minutes), in km/h.
- 14.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 12 km at 60 minutes, still 12 km at 66 minutes, and back to 0 km at 186 minutes. What is happening between 60 and 66 minutes, and what is the speed during this stage?
- 15.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 12 km at 60 minutes, still 12 km at 66 minutes, and back to 0 km at 186 minutes. Find the average speed for the RETURN stage of the journey (66 to 186 minutes), in km/h.
- 16.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 12 km at 60 minutes, still 12 km at 66 minutes, and back to 0 km at 186 minutes. Find (a) the TOTAL DISTANCE travelled during the whole journey, and (b) the final DISPLACEMENT from home (how far from home the cyclist ends up).
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