We attempted the maze 100 challenge and here our results.
First we worked systematically to find all the possible routes through the maze and there were 15.
31= Smallest possible answer.
108= largest possible answer
13th possibility =100 answer
1) 1,4,6,3,2,6,1,5,2,7,3,7,1,4,6,2,7,1,6,4,3,=108
2) 1,4,6,3,2,6,1,5,2,7,3,7,1,5,3,5,7,6,1,4,3=76
3) 1,4,6,3,2,6,5,2,3,4,1,4,3=31
4) 1,4,6,3,2,4,3,2,3,4,1,4,3=67
5) 1,4,6,3,2,4,3,2,3,2,5,6,1,5,2,7,3,7,1,4,6,2,7,1,6,4,3=99
6) 1,4,6,3,2,4,3,2,3,2,5,6,1,5,2,7,3,7,1,5,3,5,7,1,4,3=101
7) 1,4,6,3,2,6,5,2,3,4,1,6,7,5,3,5,1,4,6,2,7,1,6,4,3=97
8) 1,5,7,4,3,2,3,4,1,4,3=73
9) 1,5,7,4,3,2,3,2,5,6,1,5,2,7,3,7,1,4,6,2,7,1,6,4,3=97
10) 1,5,7,4,3,2,3,2,5,6,1,5,2,7,3,7,1,5,3,5,7,6,1,4,3=98
11) 1,5,7,4,3,2,3,4,1,6,7,5,3,5,1,4,6,2,7,1,6,4,3=90
12) 1,5,7,4,2,6,5,2,3,4,1,4,3=47
13) 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
14) 1,5,7,4,2,6,1,5,2,7,3,7,1,4,6,2,7,1,6,4,3=84
15) 1,5,7,4,2,6,1,5,2,7,3,7,1,5,3,5,7,6,1,4,3=85
We then tried to find out why the number sequence worked how it did. What we discovered was that there was 15 odd numbers and 10 even numbers and when you add them together you get 25 (10+15=25). We then realised 25 is a ¼ of 100 – it fits into 100 four times and 100 was what the number sequence added up to. We took the numbers 15 and 10 to discover that the digits that were between 1-9 (1, 5, 1) were in the number sequence 4 times, the same as 25 fitting into 100 four times.