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'Train Routes' printed from http://nrich.maths.org/
We had a well presented solution from
Sarah. She showed it as follows:
Two routes to Cheston:
Appleby - Zogborough - Barkton - Xanly - Cheston
Appleby - Yanbridge - Barkton - Worsby - Cheston
Two routes to Dorby:
Appleby - Zogborough - Barkton - Xanly - Cheston - Vilham - Dorby
Appleby - Yanbridge - Barkton - Worsby - Cheston - Underton - Dorby
This next solution came from Year 5 Maths
Group in Parklands Primary School. They wrote:
We worked out the first answer as being 4 routes to Cheston by
following the tracks which means that there is one crossover at
The routes are
The different routes to Dorby: We already knew that there were 4
routes to Cheston and because there are two single tracks VD and UD
we added these routes to the 4 existing routes to Cheston, making
THEREFORE EVERY 2 SINGLE LINE STATIONS DOUBLES THE AMOUNT OF
EXISTING ROUTES. EVERY CROSSOVER STATION MULTIPLIES THE AMOUNT OF
ROUTES BY 4.
Andrew, Jason, James, Ibrahim, Verity and Rianna.
What fantastic reasoning! Thank you.
There were also solutions from Thomas,
Leahye and Rowan, and a team solution sent in by pupils from
Patcham Junior School. Well done to you all.