List

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.
The Remainders Game
game
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The remainders game

Play this game and see if you can figure out the computer's chosen number.

Magic Crosses
problem

Magic crosses

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

Remainders
problem
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Remainders

Age
7 to 14
Challenge level
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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?
problem
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Always a multiple?

Age
11 to 14
Challenge level
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Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Which is cheaper?
problem
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Which is cheaper?

Age
14 to 16
Challenge level
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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?
Exploring cubic functions
problem
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Exploring cubic functions

Age
14 to 18
Challenge level
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Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Which is bigger?
problem
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Which is bigger?

Age
14 to 16
Challenge level
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Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
Placeholder: several colourful numbers
list

Many ways to see

Age
11 to 18
Challenge level
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These problems can be represented in many different ways!
Multiple Representations
list

Multiple representations

Age
5 to 11
This feature for primary teachers focuses on representing mathematical thinking in different ways.