Welcome to Mr Oslington's maths website! Here you will find original problems in trigonometry, probability, and number theory. Most of the two-dimensional geometry problems have Desmos graphs associated with them.
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Single-Sentence Challenges
Obviously, discard zeros and other trivial answers for these.
What number increases by one when squared?
What number doubles when cubed?
What number's cube root is half its square root?
Find two integers whose quotient is their sum.
Find two integers whose mean is the square of their difference.
Find two numbers whose difference is their harmonic mean.
Find two numbers whose product is their mean absolute value.
Source: 12_Semitones on Reddit.
Source: NoThroUAway on Reddit.
Trigonometry Challenge
The problems below require only right-angle trigonometry and circle geometry. Try to find answers in exact form!
#1. Two Gears
#2. A Rowling Stone
#3. Threaded Bolt
#5. Pac-Mountain
#6. Toothpicks
#7. An Ice Problem
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