Maths Week England Puzzle Solution: How many people are in Ada’s class?

Ada’s class were told to get into equal teams to take part in a Maths Week competition. Trouble is, when they got into pairs, she was the only one without a partner. They tried teams of 3 people, but again she was the only one not in a team. They tried to get into teams of 4 people and this time Ada was still the odd one out! Finally, they got into teams of 5 and all was well – Ada was part of a team! How many people are there in Ada’s class?

And here’s a bonus solution – it’s a little more advanced using lowest common multiples and prime factors to give an infinite number of possible solutions!

Recorded for Maths Week England 2019 – more info here.