Math Puzzles
I was part of a maths competition today. There were some freaky questions in it that I want to know the answer to and you guys are the only ones I can think that could solve them. I didn't understand half of the questions and ended up guessing half of the ones I knew how to do. We weren't allowed calculators, yet some questions still relied on trigonometry. One of my answers to a multiple choice question was tan60, but I didn't realise that was √3 until I checked on my calculator afterwards. I think I shaded in the √3 option, but I can't quite remember.
This was the last question, worth 10 marks out of 137.
"If sinX cosX + sinY cosY + sinX sin y + cosX cosY = 1 and cos(x - y) is the smallest possible, what is the value of 2x - y, expressed in degrees, that is closest to 360?"
I don't even understand that. I have never seen anything like it before and it just freaked me out.
That question seems much less tedious and interesting than this one, however:
"28 points are equally spaced around the circumference of a circle. What is the total number of triangles whose three vertices are from those 28 points and the size of one of the angles is twice the size of another?"
Go!
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