The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad
The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad
American Mathematics contest 10 (AMC 10) - Statistics problems AMC 10A 2019 Problem 20 The numbers $1,2,\dots,9$ are randomly placed into the $9$ squares of a $3 \times 3$ grid. Each square gets one number, and each of the numbers is used once. What is the probability that the sum of the numbers in each […]
American Mathematics contest 10 (AMC 10) - Combinatorics problems Try these AMC 10 Combinatorics Questions and check your knowledge AMC 10A, 2020, Problem 9 A single bench section at a school event can hold either $7$ adults or $11$ children. When $N$ bench sections are connected end to end, an equal number of adults and […]
Get rolling on your preparation for AMC 10 with Cheenta. This post has all the AMC 10 Algebra previous year Questions, year-wise. Try out these problems: AMC 10A, 2021, Problem 1 What is the value of $\left(2^{2}-2\right)-\left(3^{2}-3\right)+\left(4^{2}-4\right)$ (A) 1 (B) 2 (C) 5 (D) 8 (E) 12 AMC 10A, 2021, Problem 2 Portia's high […]
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 number 2 from the American Invitational Mathematics Examination I, AIME I, 2012 based on Arithmetic Sequence Problem.
Try this beautiful Problem on Graph Coordinates from co-ordinate geometry from AMC 10A, 2015. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2018 based on the Smallest value. You may use sequential hints to solve the problem.
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 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 Algebra and Positive Integer.
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.