Solution

35456

First name
Year 9 Puzzle Club
School
Huddersfield Grammar School
Country
Age
14

We wrote down which lights lit up for numbers 1-40, then wrote down the sequences for each colour.
Yellow: 1, 11, 21, 31, 41...etc
Nth term = 10N+1

Blue: 11, 22, 33, 44...etc
Nth term = 11N

Green: 10, 21, 32, 43...etc
Nth term = 11N+1

Red: 4, 10, 16, 22, 28
Nth term = 6N-2

Year 9 HGS =D