You may also like

problem icon

Summing Consecutive Numbers

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?

problem icon

Nine Colours

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

problem icon

Two and Two

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Kept Apart

Stage: 3 Short Challenge Level: Challenge Level:1
It is clear that there is a unique way to complete the top three rows, as shown (start in the second square of the third row). Thereafter it is possible to complete the fourth row with R and S alternating and the fifth row QPQPQ.

This problem is taken from the UKMT Mathematical Challenges.