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Simple Train Journeys

Stage: 1 and 2 Challenge Level: Challenge Level:1
How will you record the different journeys?
Have you got a way of making sure you have got them all?
Perhaps there is a way you could use the three-station journeys to help you find all the four-station journeys?
When you're looking for a pattern in the numbers, it might help to go even simpler as well - how many journeys would there be for just two stations?
Can you see any way that the numbers of different journeys are connected to each other? It might help to write them in a list or table.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.