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Maze 100

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2
We had a good number of solutions sent in for this challenge and here are a sample of them.

Aslem and Jake at Fenstanton Primary School wrote:

On my first two tries I got 99 and then 101 so I knew I was close. I realised that the numbers such as 6/5 were really useful so decided to try a different route and found 100 as my total.
The numbers are (right) 1,5,7,4; (down) 2, 6; (right) 5; (up) 2; (right) 3; (down) 4,1; (left) 6,7; (down) 5; (left) 3,5,1; (down) 4; (right) 6,2,7,1; (up) 6; (right) 4 and finally (down) 3

Maria from Maryvale Elementary School in the USA sent this in:

I tried many strategies before I could figure it out.  First, I started adding parts of the maze, and then added the parts together, but I didn't get 100.  Then, I used subtraction starting at the end, subtracting from 100 (100 - 3 - 4 ...), trying to get to zero by the beginning.  That also didn't work.  I then tried another path starting from the beginning, and subtracting from 100.  I found a possibility!  I verified it with addition, and it was correct!
1 + 5 + 7 + 4; + 2; + 6 + 5; + 2 + 3; + 4; + 1 + 6 + 7; + 5 + 3 + 5 + 1; + 4 + 6 + 2 + 7 + 1; + 6 + 4
+ 3 = 100

Thank you Maria for also sharing the ideas that did not work well.
A few pupils from Carey Baptist Grammar School in Australia send in their ideas.

First of all James and Jordan sent in a video via a website and this was their solution:

They also discovered a shortest route of 37 and a longest route of 101. You can listen and view their work here:

Then Douglas and Ben sent in their video which you can listen to and view at can see their result here too:

Martin gave a good account of how he added up finding 10's . He sent in his video which you can listen to and view at

Finally, Sonja also sent in hers in a video in which she explains very thoroughly her working. Below, you can see her results. The video can be viewed at

Thank you Carey Baptist School for those.

Lyneham Primary Maths Challenge Groups sent in a thorough report of their solutions which can be read here: Lyneham.doc . or Lyneham.pdf

After two years we had another solution sent in as a video from Arshi & Seva with help from Sumair and Aiden who are from the American Embassy School in New Deldi.