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Construct-o-straws

Make a cube out of straws and have a go at this practical challenge.

Matchsticks

Reasoning about the number of matches needed to build squares that share their sides.

Little Boxes

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

Right or Left?

Age 7 to 11 Challenge Level:

You may know that opposite faces of a dice add up to $7$, but did you know that there are two different types of dice?
Here are two dice, a right-handed one and a left-handed one:

right-handed and left-handed dice

Decide whether the dice below are right-handed or left-handed:

die with 5 on top face, 1 on near face, 3 on right face. Die with 3 on top face, 2 on near face and 6 on fight face

 

Now try these - they are more difficult.

 

Die with 6 on top face, 5 on near face and 3 on right face. Die with five on top face, 6 on near face and 3 on right face

This problem is taken from the book "Mathematical Activities from Poland" published by ATM.