Well ordering principle is a fundamental idea in Number Theory. It can be used to prove Bezout Identity. Learn it from this self learning module
Well ordering principle is a fundamental idea in Number Theory. It can be used to prove Bezout Identity. Learn it from this self learning module
Bezout Theorem connects GCD of two numbers with a linear equation. Learn more about this number theory tool useful for Math Olympiad and ISI Entrance.
Division algorithm leads to form of a number. That in turn is useful in Number Theory. Learn it in this self-learning module for ISI Entrance and 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
Gauss trick can be used to solve tricky algebra problems. Learn it in this self-learning module for ISI Entrance and math olympiad
Bijection principle is an important tool in combinatorics. This problem from I.S.I Entrance is useful for Math Olympiad. Try video, sequential hints and practice problems.
Prime numbers are related with polynomials. This problem from I.S.I Entrance is useful for Math Olympiad. Try video, sequential hints and practice problems.
In mathematics, the Gromov boundary of a δ-hyperbolic space (especially a hyperbolic group) is an abstract concept generalizing the boundary sphere of hyperbolic space. Conceptually, the Gromov boundary is the set of all points at infinity. For instance, the Gromov boundary of the real line is two points, corresponding to positive and negative infinity. Suppose X is any set. It is, Suppose, we have […]
Try this beautiful problem of complex number in which we have to find range of the value of a variable so that the relation is valid. Let's solve and use hints if required.
Try this beautiful problem of quadratic equation in which we have to find range of the roots. Let's solve and use hints if required.
Try this beautiful Problem from Geometry based on the area of the trapezium from PRMO 2017, Question 30. You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry: Problem on Circle and Triangle from AMC-10A (2016) Problem 21. You may use sequential hints to solve the problem.
Try this beautiful problem from Algebra based on least possible number.AMC-10A, 2019. You may use sequential hints to solve the problem
Try this beautiful problem from the Pre-RMO, 2018 based on the Nearest value. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination II, AIME II, 2015 based on Sequence and permutations.
Try this beautiful problem number 1 from the American Invitational Mathematics Examination, AIME, 2012 based on Numbers of positive integers.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on the number of points and planes.
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 Digits of number. You may use sequential hints to solve the problem.
Problems and Solutions from Regional Math Olympiad 2023 (both versions).
In the math world, a unique challenge emerges, combining algebra and number theory. The goal: show that specific equation solutions aren't simple fractions. We reveal a key insight about b² - 4ac: it's always a distinct odd perfect square. Using "parity check," No matter the numbers, the left side remains even, while the right side stays odd. The result: these solutions differ from simple fractions, highlighting math's power in problem-solving.
Problem and Solution of NMTC Kaprekar Contest Sub - Junior Level 7 & 8 by AMTI.
Problems and Solutions from Gauss Contest (NMTC Primary Level Grade 5 and 6) 2022. This contest is conducted by AMTI.
Problems and Solutions from NMTC Junior (Class IX and X) contest 2023. This contest is conducted by AMTI.
How to prepare for the first level of real Math Olympiads in India (the IOQM)? In this post we discuss books, learning strategies and other tools.
In 2023, 23 Cheenta students (20 current students and 3 ex-students) qualified in IOQM 2023. This is a result of a lot of hard work over several months. Most of these kids regularly attended the five-days-a-week problem solving sessions apart from concept class + homework class + doubt clearing class.
Explore the world of Math Olympiads and discover how to differentiate between Fake and Real Olympiads. We share valuable insights on the path to Olympiad success, emphasizing the importance of consistency and reputable organizers.
Cheenta is offering a 36-hour program on AMC 10 & 12. In this short review course, we will cover concepts from Number Theory, Geometry, Algebra, and Combinatorics. This course is problem-driven in nature, in the sense concepts will be introduced and taught using relevant problems. Schedule The program starts on September 9th. The online live […]
Answer Keys (Unofficial) 5) 10 14) 40 20) 43 23) 36 26) 19 27) 91 28) 67 29) 95 30) 18 Problem Set