Challenge Level

Lining up in rows of 3:

Lining up in rows of each number:

What comes next in each pattern?

Next number is a multiple of 3, 4, 5, 6

Lowest common multiples of 3, 4, 5, 6: 60, 120, 180, etc.

Fewer than 100 students $\therefore$ there are 59 students.

This problem is taken from the UKMT Mathematical Challenges.

You can find more short problems, arranged by curriculum topic, in our short problems collection.