Shunting Puzzles

Transum Trams

Welcome to the Transum tram shunting yard where there is a proper place for each and every tram.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Level 10 More Puzzles

Transum's Tram Shunting Puzzles

These puzzles are Transum's versions of the shunting or switching puzzles made popular by train enthusiasts and puzzle solvers.

The objective is to move the trams, represented by coloured circles, onto their parking spots, represented by circles of the same colour but a dashed border. There are buttons to switch the points and make the tram move to the left, to the right, or to stop.

The green buttons control the green tram
Left           Stop           Right

There is a certain amount of tolerance at the parking spaces so the tram does not have to stop directly over the parking spot but it has to overlap most of the parking space.


Trams can go over parking spaces during the course of the action but you should be careful that two trams don't crash into each other. A crash will require the operation to start again from the beginning.

When all of the trams are parked in the correct places you will have the option of claiming a Transum virtual trophy. On the trophy will be recorded the time it took you to complete the shunting puzzle. You can try as often as you wish and look for time saving strategies so that you can improve on your personal best for each level.

If identifying the colours of the trams is difficult you can add colour names.

You might also like to look at our collection of Classic Shunting Puzzles.


There is are example solutions to these puzzles but they are only available to those who have a Transum Subscription.


Featured Activity

Hi-Low Predict

Hi-Low Predict

A version of the Play Your Cards Right TV programme. Calculate the probabilities of cards being higher or lower than the one shown. a fun way to practise applying probability and using fractions.


Recently Updated

Fraction Foundations

Fraction Foundations

Recognise simple fractions (halves, quarters and tenths) of whole numbers and shapes. So far this activity has been accessed 360 times and 44 Transum Trophies have been awarded for completing it.

Best Times

As the objective is to complete the puzzle in the shortest amount of time you might be interested to know what the current fastest times are. Those people who have claimed a Transum Trophy for completing a puzzle have their times entered into our database. You can see the current leaders on our Best Shunting Times page.


Friday, July 18, 2014

"Though this activity is not explicitly mathematical it does require abstract thought, logical deduction and the generation of a strategy. The real skill is to have more than one tram moving at the same time to minimise the time taken to complete the task. Currently the record for level 1 is 27 seconds! Can you beat that?"

Rob, Hull, England

Wednesday, February 22, 2017

"Could you put letters or numbers in the circles, being colour blind makes what could be an entertaining puzzle a nigh on impossible task beyond the simple solutions.

[Transum: Thanks for the prompt Rob. There is now the option to add colour names to the trams, destination circles and buttons. You will find the link just above these comments at the bottom of the left column of text.]"

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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