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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

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Sweets in a Box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

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Maze 100

Can you go through this maze so that the numbers you pass add to exactly 100?

Balance of Halves

Stage: 2 Challenge Level: Challenge Level:1
We've had one way of doing it using a weight on the $\frac{1}{2}$ peg. How could you balance 7 using $1\frac{1}{2}$? Can you carry on going along the balance like this trying the "half numbers" in turn?

How will you make a note of what you have done?

How will you know that you have got all the different ways?