This article invites you to get familiar with a strategic game called "sprouts". The game is simple enough for younger children to understand, and has also provided experienced mathematicians with significant food for thought.
A paradox is a statement that seems to be both untrue and true at the same time. This article looks at a few examples and challenges you to investigate them for yourself.
Weekly problem 48 - 2006
Choose any two odd numbers and one even number, such as 3, 5 and 2.
How would you like to represent these numbers?
Try adding them together and draw/make the representation of their sum.
What do you notice about the answer?
Look closely at your model.
Would it work in exactly the same way if you used different numbers but still two odds and one even?
Can you use your example to prove what will happen every time you add two odd numbers and one even number?
See if you can explain this to someone else. Are they convinced by your argument?
Once you can convince someone else, see if you can find a way to show the argument on paper. You might draw something or take a photo of things you have used to prove that your result is always true from your example.
Tell us about it by submitting your solution.