Game Teachers' Notes Solution

# Factors and Multiples Game

At Montsaye Community College in Northamptonshire, Year 8 students have taken on the challenge of finding the longest sequence of numbers that can be crossed out.
Gabrielle and Lauren managed a sequence of 50 numbers:

Sophie and Tasmin managed to improve on that:

Gabrielle and Lauren managed to improve on their earlier effort:

And Sophie and Tasmin also managed to do better!

Abigail from Ridgewood School also managed a chain of 61 numbers:
Alfie, Manuel, Jack and Emilio from Newhall School in Chelmsford, Essex, worked as a team to also produce a chain of 61:
A.H. from Manorfield Primary School has improved on this by finding a chain of $63$ numbers:
90-9-99-33-66-11-44-22-88-8-80-40-10-100-20-60-30-15-75-25-50-5-35-7-70-14-56-28-
84-21-42-6-78-39-13-26-52-4-68-34-17-51-1-46-92-23-69-3-57-19-38-76-2-24-72-18-
36-12-48-16-24-32-96
James from Ridgewood School showed he could do even better:

Linda from Bohunt School also used 68 numbers:

A group of Year 9 students from The Perse School for Girls in Cambridge worked together and managed an even longer chain of numbers:

And Claire, of Blackheath High School in London, has managed to improve on that:

Well done to all of you. Do let us know if you can do better!