Explaining, convincing and proving

problem

Dalmatians

Age

14 to 18

Challenge level

Investigate the sequences obtained by starting with any positive 2 digit number (10a+b) and repeatedly using the rule 10a+b maps to 10b-a to get the next number in the sequence.
problem

Road Maker

Age

14 to 18

Challenge level

Which of these roads will satisfy a Munchkin builder?
problem
Favourite

Iffy Logic

Age

14 to 18

Challenge level

Can you rearrange the cards to make a series of correct mathematical statements?
problem
Favourite

Which Spinners?

Age

14 to 18

Challenge level

Can you work out which spinners were used to generate the frequency charts?
problem
Favourite

Summing Geometric Progressions

Age

14 to 18

Challenge level

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
problem
Favourite

Perception Versus Reality

Age

14 to 18

Challenge level

Infographics are a powerful way of communicating statistical information. Can you come up with your own?
problem

IFFY Triangles

Age

14 to 18

Challenge level

Can you prove these triangle theorems both ways?
problem

Common Divisor

Age

14 to 18

Challenge level

Can you find out what numbers divide these expressions? Can you prove that they are always divisors?
problem

Network Trees

Age

14 to 18

Challenge level

Explore some of the different types of network, and prove a result about network trees.
problem

A Powerful Matrix

Age

14 to 18

Challenge level

What happens when you find the powers of this matrix?