Here are this month’s Math Puzzles. They are all somewhat related to one another. In some cases there are many possible answers. We've added some interesting results received from your fellow math students.

Why "Square" Numbers?

The square of a number is the number times itself. For example, 3 squared is 3 times three, which equals 9; 4 squared is 4 times 4, which equals 16. The common notation for this is

3² = 9
4² = 16

Why are these called square numbers?

Think about this, then check our explanation.

Here’s another puzzle: A number times itself times itself is called a cube number. For example 2 x 2 x 2 = 8. We say that "2 cubed equals 8" This can also be written as 2³ = 8, 3³ = 27, 4³ = 64, and so forth. Why are these called cube numbers?

You have 100 m (328 ft) of fencing with which to enclose a field for some animals to run around in. Because of the way in which the fence pieces are constructed, your enclosure must be in the shape of a rectangle. You want to give your pets as much room as possible. What are the dimensions of your enclosure? What is its area?

What if you used a different kind of fencing material that could be built in any shape? To get the maximum area for your animals, what would your field look like? What area does the fence enclose?

After you’ve tried this for yourself, check our solutions.