Bridge Crossing

Here are the six islands of Transumberg connected by nine bridges.

Can you find a route, starting on any of the islands, that crosses each bridge once?

Transumberg

 

 

 

 

If you found that puzzle easy try this:

Bridge Crossing

Can you find a route crossing each bridge once (and only once)?

Which town is this?

 

 

A Mathematics Lesson Starter Of The Day


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Topics: Starter | Puzzles

  • James,
  •  
  • Is this puzzle impossible?
  • Mr Rosenberg,
  •  
  • Yes, this puzzle is mathematically impossible.
  • Transum,
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  • Yes, this impossible puzzle is the famous Seven Bridges of Konigsberg problem which is a well known part of the history of mathematics. Proving that it is impossible leads to graph theory and topology. Do you like puzzles that turn out to be impossible? Some people get very frustrated but miss the point that the positive outcome is the proof that there is no solution. Nowadays Konigsberg is called Kaliningrad and the layout of the town does not look as simple as our diagram above shows. Can you find it on Google Earth and see how many bridges are in place now?

    The first puzzle, the six islands of Transumberg, is most definitely possible!
  • Matthew, Year 5, Craigslea State School
  •  
  • A very interesting puzzle!

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Previous Day | This starter is for 6 August | Next Day

 

Answers

Can you make up your own bridge crossing puzzle with a different number of bridges and islands. How can you predict if the puzzle will be impossible?



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=August6

Here is the URL which will take them to a similar type of puzzle.

Transum.org/go/?to=Without

Student Activity

 


The Parson's Puzzle

The Parson's Puzzle

"Here, my worthy Pilgrims, is a strange riddle," quoth the Parson. "Behold how at the branching of the river is an island. Upon this island doth stand my own poor parsonage, and ye may all see the whereabouts of the village church. Mark ye, also, that there be eight bridges and no more over the river in my parish. On my way to church it is my wont to visit sundry of my flock, and in the doing thereof I do pass over every one of the eight bridges once and no more. Can any of ye find the path, after this manner, from the house to the church, without going out of the parish? Nay, nay, my friends, I do never cross the river in any boat, neither by swimming nor wading, nor do I go underground like unto the mole, nor fly in the air as doth the eagle; but only pass over by the[Pg 49] bridges." There is a way in which the Parson might have made this curious journey. Can the reader discover it? At first it seems impossible, but the conditions offer a loophole.

The Canterbury Puzzles, by Henry Ernest Dudeney

Apple

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