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The Staircase of Mount Meru. Yang Hui’s Triangle. The Khayyam Triangle. These are all other civilizations’ words for what the western world calls:
Where was Pascal’s Triangle first discovered?
Hint: these characters were written by those ancient people using their invention of the number system.

What is the rule for Pascal’s triangle:
One use of Pascal’s triangle is:
Pascal’s triangle can help you figure out the _____ of having 2 boys out of 5 children. It turns out that this is a 31.25% chance.Fill in the blank
What happens if you run along the diagonal of the triangle, on the second diagonal?
Hint: the first diagonal is just all ones.
You can bend Pascal’s triangle to the left, like the ancient Indians did. Then, adding up the diagonals gives a special sequence…

What number appears in the 4th row, 2nd from the left?
Leonardo de Pisa’s daughter, Filanacci, has been given two big Fibonacci numbers that are next to each other in the sequence. She wonders what will happen when she divides them. Do you know the decimal that she will get?
Have you ever seen a human pyramid? For example in the picture below. Notice how 6 people make a perfect pyramid. What other numbers of people can make perfect pyramids? 
Hint: Look at the third diagonal on Pascal’s triangle
What is 11×11? What row of the triangle does this remind you of?

Hint: Count rows from the top. So, the first row is 1, the second row is 1, 1, and so on
Fill in the blank
Stump your parents: Ask them what 11 x 11 x 11 x 11 is.
They will not know that you can look at the 5th row of Pascal’s triangle for the answer:

