When we meet something for the first time, we are curious to know more. These activities offer novel mathematical situations which we hope will provoke learners' sense of awe and wonder.

### One Big Triangle

##### Age 5 to 7 Challenge Level:
Make one big triangle so the numbers that touch on the small triangles add to 10.

### Overlaps

##### Age 5 to 7 Challenge Level:
What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

### Little Man

##### Age 5 to 7 Challenge Level:
The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

### If the World Were a Village

##### Age 5 to 11 Challenge Level:
This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

### Possible Pieces

##### Age 5 to 11 Challenge Level:
Can you create jigsaw pieces which are based on a square shape, with at least one peg and one hole?

### Circular Area

##### Age 7 to 11 Challenge Level:
How could you find out the area of a circle? Take a look at these ways.

### Bundles of Cubes

##### Age 7 to 11 Challenge Level:
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

### Triangle Transformation

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