Monthly Archives: January 2026

General solution of semi circular plate of pie problem

This is generalization of Graham’s problem in ingenious mathematical solutions.

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IB HL AA Paper 3 2025 on Probability and Curvature

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Truck in the desert problem

I have thought of this problem for a long time. Now that i have solved it. I realize that the correct way to think about this problem is thinking in terms of multiples of 180 gallons and where can one reach. Continue reading

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Book Review: Beautiful Geometry by Eli Maor

Thales of Miletus (624-546 BC): Born in modern Turkey. Traveled to Egypt. Calculated height of Pyramid. Angle in a semicircle is 90 or any point on the circumference subtends 90 degree to the diameter. Two base angles of Isosceles triangle … Continue reading

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How to think of Partial fractions?

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Fermat Contest 2019 Question 17 on Equilateral triangle inscribed in Regular Pentagon

The five sides of a regular pentagon are all equal in length. Also, all interior angles of a regular pentagon have the same measure and is equilateral. The measure of obtuse is

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Fermat Contest 2016 Question 20 on folding paper

It’s a great question on how coloring can make the folded angles obvious Continue reading

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IB HL Complex numbers and estimating value of cot^2(3pi/8)

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IB HL complex numbers, conjugate and identity

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IB HL Complex number Division, Euler form, argument and cube roots

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