Multiple Representations

Multiple Representations

Mathematicians use many different representations when solving problems, such as tables, graphs, diagrams and algebra. These tasks encourage students to use a variety of different representations to gain valuable insights into mathematical situations.

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?