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August 12, 2019
Missing digits of 34!
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August 12, 2019
An inequality involving unknown polynomials
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August 12, 2019
Hidden triangular inequality (PRMO Problem 23, 2019)

Problem Let ABCD be a convex cyclic quadrilateral . Suppose P is a point in the plane of the quadrilateral such that the sum of its distances from the vertices of ABCD is the least .If {PA,PB,PC,PD} = {3,4,6,8}.What is the maximum possible area of ABCD? Topic Geometry Contest Pre Regional Math Olympiad2019 ReadingMathematical circle […]

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August 11, 2019
PRMO - 2019 - Questions, Discussions, Hints, Solutions

This is a work in progress. Please post your answers in the comment. We will update them here. Point out any error that you see here. Thank you. 1. 4 2. 13 3. 13 4. 72 5. 10 6. 29 7. 51 8. 49 9. 14 10. 55 11. 6 12. 18 13. 10 14. […]

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August 11, 2019
Bangladesh MO 2019 Problem 1 - Number Theory

A basic and beautiful application of Numebr Theory and Modular Arithmetic to the Bangladesh MO 2019 Problem 1.

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August 9, 2019
Functional equation dependent on a constant
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August 8, 2019
Pigeonhole principle exercise
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August 7, 2019
An interesting arithmetic function on Number Theory using the Prime Numbers
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August 6, 2019
Belarus MO 2018 Problem 10.5 - Number Theory

This problem is a cute and simple application of the technique of reducing the sample space of solutions by the modulo operation.

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July 1, 2019
Lottery tickets
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June 19, 2020
Television Problem | AMC 10A, 2008 | Problem 14

Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem.

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June 19, 2020
Area of Triangle | AMC 10A, 2006 | Problem 21

Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem.

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June 18, 2020
Circle Problem | AMC 10A, 2006 | Problem 23

Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem.

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June 18, 2020
Centroid Problem: Ratio of the areas of two Triangles

Try this beautiful problem from Geometry based on Centroid. You may use sequential hints to solve the problem

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June 17, 2020
Triangle Problem | AMC 10B, 2013 | Problem 16

Try this beautiful problem from Geometry - AMC-10 B (2013), Problem-16 based triangle. You may use sequential hints to solve the problem.

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June 16, 2020
Number system | AMC-10A, 2007 | Problem 22

Try this beautiful problem from Number system, based on digits problem from AMC-10A, 2007. You may use sequential hints to solve the problem

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June 16, 2020
Sum of reciprocals Problem | AMC-10A, 2003 | Problem 18

Try this beautiful problem from algebra, based on Sum of reciprocals in quadratic equation from AMC-10A, 2003. You may use sequential hints.

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June 16, 2020
Non-Parallel lines | PRMO 2017 | Question 22

Try this beautiful problem from the Pre-RMO, 2017 based on Non-Parallel lines. You may use sequential hints to solve the problem.

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June 16, 2020
Area of a part of circle | PRMO 2017 | Question 26

Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.

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June 15, 2020
Problem on Equation | AMC-10A, 2007 | Problem 20

Try this beautiful problem from algebra, based on equation from AMC-10A, 2007. Problem-20,You may use sequential hints to solve the problem

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