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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Freedom and Constraints

At first glance, these contexts might appear quite constrained, and you might think that there is not much to explore. Take the time to look deeper, and by pushing the boundaries you may discover some mathematically interesting results.

### Combining Lengths

### Climbing the Stairs

### Going to the Cinema

### You Can't Make an Omelette...

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At first glance, these contexts might appear quite constrained, and you might think that there is not much to explore. Take the time to look deeper, and by pushing the boundaries you may discover some mathematically interesting results.

Age 11 to 16

Challenge Level

How many different lengths is it possible to measure with a set of three rods?

Age 11 to 16

In how many ways can I get upstairs?

Age 11 to 16

A cinema has 100 seats. Is it possible to fill every seat and take exactly Â£100?

Age 11 to 16

Can you devise the most efficient strategy for finding the highest floor from which you can drop an egg safely?