One of the reasons I’m fascinated by using Snakes and Ladders is because the board offers so many interesting comparisons with the conventional Hundred Square.
We’re all familiar with the standard 1-100 Hundred Square, and to make life easier I’m going to orient it with 1 at the bottom left and 10 at the bottom right – just like a Snakes and Ladders board in fact.
There are lots of properties of the standard Hundred Square and we probably take many of them for granted:
The numbers show a regular and predictable pattern.
The number 1 is in the bottom left-hand corner and the number 100 is in the top right-hand corner.
Each of the numbers from 1 to 100 occurs exactly once in the square.
You can locate any number (e.g. 42, 76) on a blank square without having to work out the positions of all the other numbers in the square.
The numbers in each row increase as you move from left to right.
A typical row goes from 21 to 29, and ends on 30 – the first number ends in 1 and the last number ends in 0.
As you move up a column the numbers increase by 10 each time.
The numbers in a column are either all odd, or all even.
The diagonal from bottom left to top right shows the multiples of 11.
Multiples of 2 show a regular pattern. Similar patterns are shown by all the other multiples.
It’s well worth discussing each one of these. Some are preserved in a Snakes and Ladders square, but others are modified.