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Sam displays cans in 3 triangular stacks. With the same number he could make one large triangular stack or stack them all in a square based pyramid. How many cans are there how were they arranged?

What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.

Can you draw a square in which the perimeter is numerically equal to the area?

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?

What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

Learn to write procedures and build them into Logo programs. Learn to use variables.

Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others.

$40$ can be written as $7^2 - 3^2.$ Which other numbers can be written as the difference of squares of odd numbers?