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### Number and algebra

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### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Many Ways to See

### The Remainders Game

### Magic Crosses

### Remainders

### Always a Multiple?

### Which Is Cheaper?

### Which Is Bigger?

### Exploring Cubic Functions

### Two-faced Conic Sections

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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!

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

Can you find examples of magic crosses? Can you find all the possibilities?

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?

Age 11 to 14

Challenge Level

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

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?

Age 14 to 16

Challenge Level

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

Age 14 to 18

Challenge Level

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Age 14 to 18