problem Six Ten Total Age 7 to 11 Challenge level This challenge combines addition, multiplication, perseverance and even proof.
article Reasoning: The Journey from Novice to Expert ( Article ) This article for primary teachers suggests ways in which we can help learners move from being novice reasoners to expert reasoners.
problem Multiplication arithmagons Age 14 to 16 Challenge level Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
problem Reversals Age 11 to 14 Challenge level Where should you start, if you want to finish back where you started?
problem Pythagoras Perimeters Age 14 to 16 Challenge level If you know the perimeter of a right angled triangle, what can you say about the area?
problem Difference of Two Squares Age 14 to 16 Challenge level What is special about the difference between squares of numbers adjacent to multiples of three?
problem Impossibilities Age 11 to 14 Challenge level Just because a problem is impossible doesn't mean it's difficult...
problem Overlaps Age 11 to 14 Challenge level Can you find ways to put numbers in the overlaps so the rings have equal totals?
article Reasoning: Identifying Opportunities ( Article ) In this article for primary teachers we consider in depth when we might reason which helps us understand what reasoning 'looks like'.