# From Exploration to Explanation

### From exploration to explanation

We have chosen these problems to inspire your students to be playful, become engaged, and then think deeply about the mathematical contexts that underpin the activities.  Whether it's the start of your academic year or the beginning of a vacation, we hope there is something for everyone.

The last date for sending in solutions is Monday 7 October.

### First Connect Three

##### Age 7 to 14 Challenge Level:
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

### Treasure Hunt

##### Age 7 to 14 Challenge Level:
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

### Nicola's Jigsaw

##### Age 11 to 14 Challenge Level:
Nicola has lost a piece of her 3D jigsaw. Can you work out the shape of the missing piece?

### Connect Three

##### Age 11 to 16 Challenge Level:
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

### Iffy Logic

##### Age 14 to 18 Challenge Level:
Can you rearrange the cards to make a series of correct mathematical statements?

### 3D Treasure Hunt

##### Age 14 to 18 Challenge Level:
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?