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
Try this beautiful problem from AMC 10. It involves geometry of triangles. We provide sequential hints so that you can try the problem.
Try this beautiful problem from AMC 10A. It involves finding the remainder when anumber is divided by another digit. We provide sequential hints so that you can try the problem.
Try this beautiful problem from AMC 8. It involves calculating the area of a sector of a circle. We provide sequential hints so that you can try the problem.
Try this beautiful problem from AMC 8. It involves the concept of divisibility. We provide sequential hints so that you can try the problem.
Parity is an important tool in Mathematics. Try this beautiful application of this idea. We present a video and some additional problems.
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- […]