Question Board

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This week, we learned about the Pythagorean Theorem and applied it to a variety of interesting problems. We also tried our hands at the Colored Loops puzzle. The puzzle in the picture has three solutions. Can you try to find all of the solutions? (hint: try starting on one color and finding a comple

We can solve the 3x3 problem by stacking all of the cups in the middle. On the 5x5 problem, we can solve it similarly by focusing on the corners than the center lines. Can you find a way to apply this to the 7x7 and 9x9 problems? (Hint: on the 9x9 problem, solving the corners will leave leftovers. H

In class, we started with the classic Königsberg problem of drawing a shape with 1 continuous line. The shape is made up of nods and lines connected to them, you could go over the nods multiple times but only once for the lines. We practiced numerous questions before explaining how to identify wheth

In class, we talked about how the Tower of Hanoi is based on recursive relations. We also found the recursive relation for the Tower of Hanoi with three pegs. We then explored the Tower of Hanoi with two rings of each color, four pegs, and five pegs. We ended by exploring the Tower of Hanoi with col

This is the question board. Every week, we will post a thread here regarding the discussion problem of the week for you to discuss with your peers. You are also welcome to ask questions of any kind regarding math and we will answer them to the best of our abilities. We encourage you to try answering

In addition to some interesting AMC 8 problems, we solved some Domino Dissection puzzles. Puzzle 190 is a very hard 8x7 puzzle, see if you can solve it! Remember, you can only use each domino piece ONCE! https://www.jrmf.org/activities/domino-dissection

Last class we learned about the conditions we need to make all three colors of chameleons into one color, which was having the same amount of two colors of chameleons. Can you figure out the pattern needed to make this condition happen, and in turn, the conditions for being able to turn all fifteen

In class, we started with the classic river crossing problem of a wolf, a goat, and a cabbage. We then moved on to a variation in which we need to carry humans and zombies instead. Remember, if there are more zombies than humans on any side of the river, all of the humans on that side will die. How