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A Very Shiny Nose?
This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.
Why Dialogue Matters in Primary Proof
In this article for Primary teachers, Ems explores three essential features of proof, all of which can be developed in the context of primary mathematics through talk.
Odds and Evens Made Fair
In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
Plus Minus
Can you explain the surprising results Jo found when she calculated the difference between square numbers?
Pythagoras Perimeters
If you know the perimeter of a right angled triangle, what can you say about the area?
Shear Magic
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
Semi-Regular Tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Triangle Midpoints
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?