Shunting Problem

Shunting Problem

Two trains are travelling along the same stretch of single line track towards each other. Each train consists of a locomotive and two carriages. There is however a siding that can take one locomotive and one carriage. How is it possible for the two trains to pass each other by using this siding?

A Mathematics Lesson Starter Of The Day


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Topics: Starter | Creativity | Fun | Logic | Multiple Intelligences | Problem Solving

  • Transum,
  •  
  • This make a change! Quite a different Starter Of The Day requiring logic, sequencing and lateral thinking (not necessarily in that order!). We envisage pupils working on this puzzle at their desks using items from their pencil cases to represent the locomotives and carriages. They will need to devise a system of recording their solution so that they don’t forget it and can explain it to others.

    If one objective of the Starter Of The Day is to engage pupils right from the very beginning of the lesson we hope this puzzle will fit the bill. It is one or many shunting problems that have proved popular with problem solvers for many years. These challenges are also known as railway shunting puzzles or railroad switching puzzles.

    Don’t forget to show the Flash animation of our solution further down the page.
  • Jason, Louisville
  •  
  • Where do I find the solution?

    [Transum: The answers are below but you need to be signed in to your Transum account to see them. You can sign up for an account here.]
  • Mrs Roberts, Sydney, Australia
  •  
  • This looks awesome.

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This starter has scored a mean of 3.2 out of 5 based on 270 votes.


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Toy Trains Shunting Problem

Teacher: If you have young children of your own borrow their toy trains and use these printable train tracks for a real hands-on experience (small plastic trees not included).



Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

Online Maths Shop

Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=January9

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=shunting

Student Activity

 



Classic Shunting Puzzles

Classic Shunting Puzzles

If you have scrolled this far down the page you may well be interested in our collection of Classic Shunting Puzzles which are fascinating, enjoyable and adictive!

Apple

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