Gossip often has a negative connotation, but imagine you are part of a group deciding on a job candidate to hire or a local political candidate to back. Candidates who get a good reputation by helping others may be more likely to receive help in the form of a job offer or endorsement, a feedback...

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?...

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice....

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?...

Which way of flipping over and/or turning this grid will give you the highest total? You'll need to imagine where the numbers will go in this tricky task!...

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?...

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?...

By selecting digits for an addition grid, what targets can you make?...

Will a certain tritium atom decay by a certain time? According to our current science, this question concerning physical phenomena should be answered by sampling from a probability distribution, a process not unlike spinning a roulette wheel or rolling dice. However, a paper in Foundations of...

Try out this number trick. What happens with different starting numbers? What do you notice?...