Category: Math Puzzles
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An Oxford MAT Question from 1997
This is honestly one of the best puzzles for students and anyone looking to test their understanding of calculus. It took me a while to be able to do it in my head, and I think there are two layers of understanding to the solution. So give this problem a go, and when you are…
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So What’s The Most Number of Hats You Can Make?
You are making clown hats from a circular piece of cardboard. The circumference of the base of each hat equals its slant height,which in turn is equal to the radius of the piece of cardboard. What is the maximum number of hats that you can make fromthe piece of cardboard? As usual, I encourage to…
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Which One Is The Smallest?
In school, we learn that a surd is an expression containing an irrational root, such as √11, √2, √5. They are used to irrational numbers exactly without rounding. And no irrational numbers are not unreasonable, they are simply numbers that can not be expressed as a ratio between two integers p and q in the…
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Can You Find The Total Length Of The Border Of The Cyan Design?
The shaded figure is formed by eight circular arcs of equal radius. Four arcs are centered at the vertices of a square, and the other four at the midpoints of its sides. The diagonals of the square have length 1. Find the total length of the boundary of the shaded figure. As usual, I encourage…