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Simple Train Journeys

How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?

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Train Routes

This train line has two tracks which cross at different points. Can you find all the routes that end at Cheston?

How Many Pieces?

Stage: 1 Challenge Level: Challenge Level:1

two knots

You can see how many loops of string were used to make these string patterns because the strings are different colours.

In the next pictures can you work out how many loops were used?

three more knots

How many pieces of string do you need to make this string pattern?

tangle of string

Can you explain how you decided?
Here is a pdf  of the string images which you could print off if you find it easier to work on paper.

If you enjoyed this problem, you might like to have a go at How Many Pieces This Time?