Rational and irrational numbers
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problemImpossible Triangles?
Age16 to 18Challenge level
Which of these triangular jigsaws are impossible to finish? -
problemThe Clue Is in the Question
Age16 to 18Challenge level
Starting with one of the mini-challenges, how many of the other mini-challenges will you invent for yourself? -
problemIrrational Arithmagons
Age16 to 18Challenge level
Can you work out the irrational numbers that belong in the circles to make the multiplication arithmagon correct?
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problemRational Round
Age16 to 18Challenge level
Show that there are infinitely many rational points on the unit circle and no rational points on the circle x^2+y^2=3. -
problemRoad Maker 2
Age16 to 18Challenge level
Can you work out where the blue-and-red brick roads end? -
articleAll Is Number
Read all about Pythagoras' mathematical discoveries in this article written for students.
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articleAn Introduction to Proof by Contradiction
An introduction to proof by contradiction, a powerful method of mathematical proof. -
articleWhat Are Numbers?
Ranging from kindergarten mathematics to the fringe of research this informal article paints the big picture of number in a non technical way suitable for primary teachers and older students. -
interactivityProof Sorter - The Square Root of 2 Is Irrational
Age16 to 18Challenge level
Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order.