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### Number and algebra

### Geometry and measure

### Probability and statistics

### 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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### Patterns in Number Sequences

### Reasoning Geometrically

### Reasoning with Numbers

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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?

These resources are designed to get you thinking about number sequences and patterns.

These resources are designed to get you thinking about geometrical reasoning.

These resources are designed to get you thinking about reasoning with numbers.