Category: Mathematics Q&A

L’Hopital’s Limit From A Phone Game

One of my recently graduated students was playing a phone riddle game that required an answer to this level: Turns out the solution to the game was just simply the word “answer” as the instruction was to simply enter that in. However, the integral and the limit shown there...
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No, You Don’t Need Quadratic Formula

On the MANSW Facebook page, a fellow teacher from another school threw this question to the brain’s trust. All the answers provided to the problem by others used the Quadratic Formula, but the Algebra from those solutions was not exactly clean. Personally, I don’t think getting the answer in...
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Trigonometric Tricks in Geometry

I was digging through some old notes of questions I had done in the past and came across this one. I don’t remember who gave me this question but it was a fascinating one that combined both geometrical reasoning and the sine rule. Question In the triangle \(ABC\), \(AB...
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Geometry Induction

My boss at work gave me this interesting question to work out. It’s unusual as most induction questions are algebraic but this one was related to geometry and counting techniques. Not many of these around. I thought it was pretty cool. Question Prove that an \(n\)-sided convex polygon has...
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The Perfect View

I don’t remember where I got this question from (probably a textbook somewhere) but I remember it specifically for the different kind of way I went about solving it. Most people like to make a single variable the subject before differentiating, and this is usually the only way they...
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