Visualising and representing

problem
What numbers can we make now?

Age

11 to 14

Challenge level

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
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problem
Isosceles seven

Age

14 to 16

Challenge level

Is it possible to find the angles in this rather special isosceles triangle?
problem
Pythagoras proofs

Age

11 to 16

Challenge level

Can you make sense of these three proofs of Pythagoras' Theorem?
problem
Three neighbours

Age

7 to 14

Challenge level

Take three consecutive numbers and add them together. What do you notice?
problem
Euler meets Schlegel

Age

16 to 18

Challenge level

Discover how networks can be used to prove Euler's Polyhedron formula.
problem
Always perfect

Age

14 to 18

Challenge level

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
problem
Quadratic matching

Age

14 to 16

Challenge level

Can you match each graph to one of the statements?
problem
Seesaw shenanigans

Age

3 to 7

Challenge level

A group of animals has made a seesaw in the woods. How can you make the seesaw balance?
problem
Sweetie box

Age

5 to 11

Challenge level

Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?