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!
game
Favourite
The Remainders Game
Play this game and see if you can figure out the computer's chosen number.
problem
Magic Crosses
Age
7 to 14
Challenge level
Can you find examples of magic crosses? Can you find all the possibilities?
problem
Favourite
Remainders
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?
problem
Favourite
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...
article
Two-faced conic sections
problem
Favourite
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?
problem
Favourite
Exploring cubic functions
Age
14 to 18
Challenge level
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
problem
Favourite
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?
list
Ways of Showing
The problems in this feature give you chance to consider different ways of showing (or representing) your thinking.