If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?...

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?...

This problem looks at how one example of your choice can show something about the general structure of multiplication....

Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?...

Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral....

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?...

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!...