Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
Can you describe this route to infinity? Where will the arrows take you next?
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Can you make sense of the three methods to work out what fraction of the total area is shaded?
Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.
Find the frequency distribution for ordinary English, and use it to help you crack the code.
This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
