# To Boldly Go...

### To Boldly Go...

When students meet something for the first time, we want them to have a sense of awe and wonder, and be curious to explore more. In this feature, we present situations which we hope will be novel for your students, provoking them to embark on a journey of discovery.

The last date for submitting solutions is Friday 12 October.

### Triangle Transformation

##### Age 7 to 14 Challenge Level:
Start with a triangle. Can you cut it up to make a rectangle?

### Diminishing Returns

##### Age 11 to 14 Challenge Level:
How much of the square is coloured blue? How will the pattern continue?

### Mixing Paints

##### Age 11 to 14 Challenge Level:
Can you work out how to produce different shades of pink paint?

### Mixing More Paints

##### Age 14 to 16 Challenge Level:
Can you find an efficent way to mix paints in any ratio?

### Squaring the Rectangle

##### Age 14 to 18 Challenge Level:
Can you find a way to turn a rectangle into a square?

### Vanishing Point

##### Age 14 to 18 Challenge Level:
How can visual patterns be used to prove sums of series?