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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: www.educreations.com/lesson/view/maze-100/23060451/?s=ci6Rqd&ref=link.

Then Douglas and Ben sent in their video which you can listen to and view at www.educreations.com/lesson/view/maze-100/23192746/?s=vJF5ur&ref=link.You 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 www.educreations.com/lesson/view/mez-one-hoondrood/23257076/?s=1IHcxK&ref=link.

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 www.educreations.com/lesson/view/maze-100/23257143/?s=NXNLIp&ref=link

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

Well done all of you!