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### For younger learners

### Advanced mathematics

# Can You Think Flexibly?

### Shear Magic

### Countdown

### Countdown Fractions

### Triangle in a Trapezium

### The Square Under the Hypotenuse

### The Farmers' Field Boundary

## You may also like

### Patterns in Number Sequences

### Reasoning Geometrically

### Reasoning with Numbers

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Being able to think flexibly is a key ingredient of what it means to be a good mathematician. The problems in this feature challenge you to explore different ways of arriving at a solution.

Age 11 to 14

Challenge Level

Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

Age 7 to 14

Challenge Level

Here is a chance to play a version of the classic Countdown Game.

Age 11 to 16

Challenge Level

Here is a chance to play a fractions version of the classic Countdown Game.

Age 11 to 16

Challenge Level

Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?

Age 14 to 16

Challenge Level

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

Age 11 to 14

Challenge Level

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

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.