Distance-Time Graphs (Year 10)
Free printable UK Year 10 (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 9 · 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, 36 km at 80 minutes, still 36 km at 91 minutes, and back to 0 km at 199 minutes. Find the average speed for the FIRST stage of the journey (0 to 80 minutes), in km/h.
- 2.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 36 km at 80 minutes, still 36 km at 91 minutes, and back to 0 km at 199 minutes. What is happening between 80 and 91 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, 36 km at 80 minutes, still 36 km at 91 minutes, and back to 0 km at 199 minutes. Find the average speed for the RETURN stage of the journey (91 to 199 minutes), in km/h.
- 4.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 36 km at 80 minutes, still 36 km at 91 minutes, and back to 0 km at 199 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, 15 km at 45 minutes, still 15 km at 64 minutes, and back to 0 km at 124 minutes. Find the average speed for the FIRST stage of the journey (0 to 45 minutes), in km/h.
- 6.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 15 km at 45 minutes, still 15 km at 64 minutes, and back to 0 km at 124 minutes. What is happening between 45 and 64 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, 15 km at 45 minutes, still 15 km at 64 minutes, and back to 0 km at 124 minutes. Find the average speed for the RETURN stage of the journey (64 to 124 minutes), in km/h.
- 8.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 15 km at 45 minutes, still 15 km at 64 minutes, and back to 0 km at 124 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, 24 km at 96 minutes, still 24 km at 121 minutes, and back to 0 km at 181 minutes. Find the average speed for the FIRST stage of the journey (0 to 96 minutes), in km/h.
- 10.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 121 minutes, and back to 0 km at 181 minutes. What is happening between 96 and 121 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, 24 km at 96 minutes, still 24 km at 121 minutes, and back to 0 km at 181 minutes. Find the average speed for the RETURN stage of the journey (121 to 181 minutes), in km/h.
- 12.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 121 minutes, and back to 0 km at 181 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, 30 km at 72 minutes, still 30 km at 96 minutes, and back to 0 km at 186 minutes. Find the average speed for the FIRST stage of the journey (0 to 72 minutes), in km/h.
- 14.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 30 km at 72 minutes, still 30 km at 96 minutes, and back to 0 km at 186 minutes. What is happening between 72 and 96 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, 30 km at 72 minutes, still 30 km at 96 minutes, and back to 0 km at 186 minutes. Find the average speed for the RETURN stage of the journey (96 to 186 minutes), in km/h.
- 16.A cyclist's distance-time graph is plotted from home: distance is 0 km at 0 minutes, 30 km at 72 minutes, still 30 km at 96 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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