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Knight's Swap

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?

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Beads and Bags

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

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How Do You See It?

Here are some short problems for you to try. Talk to your friends about how you work them out.

Dice in a Corner

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
Don't forget that the face which are touching must be the same.
How will you make sure your arrangements are all different?
How will you know you have found all the different ways?