Many Ways to See

Many ways to see

When working mathematically, we use many different tools to help us to understand, like diagrams, tables of results, algebraic rules, graphs, and models. In these problems, we invite you to use a range of different tools and find out how switching between different ways of working can help you to crack tricky challenges!

Magic Crosses 

Age 7 to 14 Challenge Level:
Can you find examples of magic crosses? Can you find all the possibilities?

The Remainders Game 

Age 7 to 14 Challenge Level:
Play this game and see if you can figure out the computer's chosen number.


Age 7 to 14 Challenge Level:
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Always a Multiple? 

Age 11 to 14 Challenge Level:
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Which Is Cheaper? 

Age 14 to 16 Challenge Level:
When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Which Is Bigger? 

Age 14 to 16 Challenge Level:
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

Exploring Cubic Functions 

Age 14 to 18 Challenge Level:
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
In this article from Plus, read about the links between different ways of representing conic sections.