“The Pigeonhole principle” ~ Students who have never heard may think that it is a joke. The pigeonhole principle is one of the simplest but most useful ideas in mathematics. Let’s learn the Pigeonhole Principle with some applications. Pigeonhole Principle Definition: In Discrete Mathematics, the pigeonhole principle states that if we must put $N + […]
Mathematics Summer Camps help students to feel the richness of Mathematics. These summer mathematics programme in India instills the love for Mathematics in students. In this post, we are going to discuss the Mathematics Summer Camps in India for School and College Students. Here we go: 1. Programs in Mathematics for Young Scientists - PROMYS […]
Here is a video solution for a Problem based on using Vectors and Carpet Theorem in Geometry 1? This problem is helpful for Math Olympiad, ISI & CMI Entrance, and other math contests. Watch and Learn! Here goes the question… Given ABCD is a quadrilateral and P and Q are 2 points on AB and […]
Mahalanobis National Statistics Competition = MNStatC organized by Cheenta Statistics Department with exciting cash prizes. What is MNStatC? Mahalanobis National Statistics Competition (MNStatC) is a national level statistics competition, aimed at undergraduate students as well as masters, Ph.D. students, and data analytics, and ML professionals. MNStatC plans to test your core mathematics, probability, and statistics […]
Here is a video solution for a Problem based on Bijection Principle. This is an Objective question 22 from TOMATO for ISI Entrance. Watch and Learn! Here goes the question… Given that: x+y+z=10, where x, y and z are natural numbers. How many such solutions are possible for this equation? We will recommend you to […]
Here is a video solution for a Problem based on finding the area of a quadrilateral. This question is from American Mathematics Competition, AMC 12, 2018. Watch and Learn! Here goes the question… Connect the centroids of the four triangles in a square. Can you find the area of the quadrilateral? We will recommend you […]
Here is a video solution for ISI Entrance Number Theory Problems based on solving weird equations using Inequality. Watch and Learn! Here goes the question… Solve: 2 \cos ^{2}\left(x^{3}+x\right)=2^{x}+2^{-x} We will recommend you to try the problem yourself. Done? Let’s see the proof in the video below: Some Useful Links: How to Construct Rational Numbers? […]
Here is a video solution for ISI Entrance Number Theory Problems based on AM-GM Inequality Problem. Watch and Learn! Here goes the question... a, b, c, d are positive real numbers. Prove that: (1+a)(1+b)(1+c)(1+d) <= 16. We will recommend you to try the problem yourself. Done? Let's see the proof in the video below: Some […]
Here is a video solution for ISI Entrance Number Theory Problems based on Sum of 8 fourth powers. Watch and Learn! Can you show that the sum of 8 fourth powers of integers never adds up to 1993? How can you solve this fourth-degree diophantine equation? Let's see in the video below: Some Useful Links: […]
Problems and Solutions of ISI BStat and BMath Entrance 2020 of Indian Statistical Institute.
Books play a significant role in the preparation for the Singapore Mathematics Olympiad. In Cheenta we recommend a few books based on their age and grades that suit them. Books for Junior SMO Books for Senior SMO
Understand the difference between real and fake math olympiads. Know more about books and learning strategies for IOQM, IMO, AMC 10, 12.
PART - I Problem 1 If \(2^{x-1}+2^{x-2}+2^{x-3}=\frac{1}{16}\), find \(2^x\) (a) \(\frac{1}{14}\)(b) \(\frac{2}{3}\)(c) \(\sqrt[14]{2}\)(d) \(\sqrt[3]{4}\) Answer: A Problem 2 If the number of sides of a regular polygon is decreased from 10 to 8, by how much does the measure of each of its interior angles decrease? (a) \(30^{\circ}\)(b) \(18^{\circ}\)(c) \(15^{\circ}\)(d) \(9^{\circ}\) Answer: D Problem 3 […]
PART I Problem 1 Find x if \(\frac{79}{125}\left(\frac{79+x}{125+x}\right)=1.\) (a) 0(b) -46(c) -200(d) -204 Answer : D Problem 2 The line \(2 x+a y=5\) passes through (-2,-1) and (1, b). What is the value of b ? (a) \(-\frac{1}{2}\)(b) \(-\frac{1}{3}\)(c) \(-\frac{1}{4}\)(d) \(-\frac{1}{6}\) Answer : B Problem 3 Let ABCD be a parallelogram. Two squares are constructed […]
14 out of 27 students from Cheenta Academy cracked the prestigious Regional Math Olympiad. In this post, we will share some of their success stories and learning strategies.
NMTC RAMANUJAN (grade 11 and 12) Stage I - Problems and Solutions.
NMTC BHASKARA(grade 9 and 10) Stage I- Problems and Solutions.
NMTC KAPREKAR (grade 7 and 8) Stage I - Problems and Solutions.
NMTC GAUSS (grade 5 and 6) Stage I - Problems and Solutions.
NMTC RAMANUJAN (grade 11 and 12) Stage I - Problems and Solutions.