
Visualising and representing
-
-
problemFavourite
What numbers can we make now?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
-
-
problemFavourite
Isosceles seven
Is it possible to find the angles in this rather special isosceles triangle?
-
problem
To swim or to run?
The famous film star Birkhoff Maclane wants to reach her refreshing drink. Should she run around the pool or swim across?
-
problemFavourite
Pythagoras proofs
Can you make sense of these three proofs of Pythagoras' Theorem?
-
problemFavourite
Three neighbours
Take three consecutive numbers and add them together. What do you notice?
-
-
problemFavourite
Always perfect
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
-