List

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!

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...
Two-faced conic sections
article

Two-faced conic sections

In this article from Plus, read about the links between different ways of representing conic sections.
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

Ways of Showing

Age
5 to 11
The problems in this feature give you chance to consider different ways of showing (or representing) your thinking.