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Maze 100

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2
The following totals came from Year 5 /6  at Cefnllys - Llandrindod County Primary School in Wales

Owain and Iestin:  37 & 96; Mac & Rian : 35 & 192; Taylor and Gim :  101; Lias + Haydi 37 & 100; Pip & Phelics  100.

Harrison School pupils including Hugo and Josh, Finn and Ben sent in solutions. Here is Catrin and Abi's;

Jess and Suja also from Harrisons School 

To solve the maze 100 problem we used a systematic approach. We started off by drawing all of the possible routes from the start to the end of the maze and colour coded them to make them clear. Then we added up the numbers along those route separately so we could find which one added up to 100. There was nine possible ways to get through the maze the 7th route we followed and added up equalled 100. From finding all of the routes and adding them up it was easy to find out the highest and lowest as we had all of the information ready.

Hollie from  Gresham Primary School sent in the following;

I have 3 strategies I used.
1) You can start by drawing a random line then add up mentally or write it down. However, if you're trying to get 100 don't go straight round the outline because it will be too small.
2) Add the numbers up as you go and make a note of totals when you get to corners. then if you need to make the final answer bigger or smaller you can just go back to the last corner to change the route.
3) The main thing is even if you don't get it straight away is be creative, resilient and persevere. Don't forget to check your adding!!

Bonner Primary School sent in this commentary

Thoughts before we started:
Aarfin: I think you have to use a lot of numbers to make 100.
Aadil: I am going to add all the numbers to check it comes to more than 100.

Thoughts as we began:
Tahir: I think this will be easy, I made 98 I just need 2 more.
Sakinah: I will do my best and never give up. I say this to myself so I don't feel discouraged.

Thoughts after 20 minutes
Tahir: I thought it was easy but it's hard. I think I need to find the bigger numbers.
Sakinah: I went the long way round to find the answer.
Sophia and Abu: We decided to add up all the numbers then see which ones we needed to  take away to make 100. This was hard!
Aadil and Azreen solved the maze first.  They went on to the challenge and found that the largest number they could make was 143.

Isabelle and Takumi from Monarch Global Academy, USA; Lea and Ayla from Torriano Primary School; Mariah from  Stimpson Avenue Academy; Frida, Steven, Harsh,Yuha, Matthew and Zoe from Nord Anglia International School Hong Kong; Kaitlyn from  St.Helen's Primary School; Liam and Olivia from Millfields Primary School; Year 4 from Britannia Primary School;  Bryon and Grace Kaiapoi North School in New Zealand; Jamie and James from Sheuchan Primary School in Scotland; Max from Dussindale Primary School; Leila, Amaya, Aoife, Saachi from North London Collegiate School; Advika from Wimbledon Chase Primary School  and James from St Williams Primary School- all sent in good solutions.

Also we had solutions from Hempland Primary School we had solutions from Thomas, Cayden, Rudi, Emilia, Matthew and others who unfortunately did not leave their names. Well done to everyone, so many solutions sent in I did not have space to show them all. Maybe you can see the reasons for my choice?