What is the smallest number with exactly 14 divisors?
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?
Do you know a quick way to check if a number is a multiple of two? How about three, four or six?
A tile is fixed to a wall and then painted with four different colours, one for each quarter. One way of doing this is
How many other ways can the tile be painted?
If you liked this problem, here is an NRICH problem which is based on similar mathematical ideas
This problem is taken from the UKMT Mathematical Challenges.