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American Mathematics contest 10 (AMC 10) - Number Theory problems AMC 10A, 2021, Problem 10 Which of the following is equivalent to $$ (2+3)\left(2^{2}+3^{2}\right)\left(2^{4}+3^{4}\right)\left(2^{8}+3^{8}\right)\left(2^{16}+3^{16}\right)\left(2^{32}+3^{32}\right)\left(2^{64}+3^{64}\right) ? $$ (A) $3^{127}+2^{127}$ (B) $3^{127}+2^{127}+2 \cdot 3^{63}+3 \cdot 2^{63}$ (C) $3^{128}-2^{128}$ (D) $3^{128}+2^{128}$ (E) $5^{127}$ AMC 10A, 2021, Problem 11 For which of the following integers $b$ is the base- […]

Euclidean algorithm is used to find GCD (greatest common divisor). Use tutorial video and practise problems to master this tool.

American Mathematics contest 8 (AMC 8) - Geometry problems Try these AMC 8 Geometry Questions and check your knowledge! AMC 8, 2025, Problem 1 The eight-pointed star, shown in the figure below, is a popular quilting pattern. What percent of the entire \(4 \times 4\) grid is covered by the star? (A) 40(B) 50(C) 60(D) […]

Try this beautiful problem from AMC 8. It involves basic inequalities and properties of discriminant of the quadratic equation. We provide sequential hints so that you can try the problem.

Try this beautiful problem from  I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination 2016 It is based on simple manipulations and limit of a function. We provide sequential hints so that you can try the problem.

Try this beautiful problem from I.S.I B.Stat. Entrance 2017, UGA . It involves limit and differentiability of a function. We provide sequential hints so that you can try the problem.

Try this beautiful problem from ISI B.Stat. Entrance 2017, UGA It involves maximum and minimum property of a function. We provide sequential hints so that you can try the problem.

INMO 2020 (Indian National Math Olympiad) 2020 Problems and Solutions. We provide sequential hints so that you can try the problems on your own.

The following problems are collected from a variety of Math Olympiads and mathematics contests like I.S.I. and C.M.I. Entrances. They can be solved using elementary coordinate geometry and a bit of ingenuity.

How to combine algebra and geometry to solve a biquadratic? Try this beautiful problem from ISI Entrance 2005. We provide knowledge graph and video.

Try this beautiful problem from the Pre-RMO, 2018 based on Digits of number. You may use sequential hints to solve the problem.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Length and Triangle.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Algebra and Positive Integer.

Try this Integer Problem from Algebra from PRMO 2017, Question 1 You may use sequential hints to solve the problem.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Distance and Spheres.

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Arithmetic Mean. You may use sequential hints.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Distance Time. You may use sequential hints.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Algebra and Combination.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Algebraic Equation.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Arithmetic and geometric mean with Algebra.