Working systematically

What could be the scores from five throws of this dice?

Lauren and Thomas tell their ages in terms of sums of squares. Can you work out how old they really are?

An introduction to bond angle geometry.

Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?

The digits 1-9 have been written in the squares so that each row and column sums to 13. What is the value of n?

If all the arrangements of the letters in the word ANGLE are written down in alphabetical order, what position does the word ANGLE occupy?

Can you choose one number from each row and column in this grid to form the largest possibe product?

In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?

Weekly Problem 16 - 2016
How many three digit numbers have the property that the middle digit is the mean of the other two digits?

Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.