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February 7, 2021
ISI B.Stat 2007 Objective Paper| problems & solutions

Here, you will find all the questions of ISI Entrance Paper 2007 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $x$ be an irrational number. If $a, b, c$ and $d$ are rational numbers such that $\frac{a x+b}{cx+d}$ is a rational […]

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January 14, 2021
Pigeonhole Principle

“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 + […]

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December 14, 2020
Mathematics Summer Camps in India One Should Explore

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 […]

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October 29, 2020
How to use Vectors and Carpet Theorem in Geometry 1?

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 […]

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October 29, 2020
Mahalanobis National Statistics Competition

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 […]

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October 19, 2020
Bijection Principle Problem | ISI Entrance TOMATO Obj 22

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 […]

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October 17, 2020
What is the Area of Quadrilateral? | AMC 12 2018 | Problem 13

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 […]

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October 16, 2020
Solving Weird Equations using Inequality | TOMATO Problem 78

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? […]

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October 15, 2020
AM-GM Inequality Problem | ISI Entrance

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 […]

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October 13, 2020
Sum of 8 fourth powers | ISI Entrance Problem

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: […]

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November 2, 2023
NMTC 2019 Stage II - Kaprekar (Class 7, 8) - Problems and Solutions

NMTC Stage II Junior Level (KAPREKAR) problems, solutions and discussions from the year 2019.

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November 1, 2023
NMTC 2019 Stage II - BHASKARA (Class 9, 10) - Problems and Solutions

NMTC Stage II Junior Level (BHASKARA) problems, solutions and discussions from the year 2019.

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November 1, 2023
NMTC 2019 Stage II - Gauss (Class 5, 6) - Problems and Solutions

NMTC Stage II Primary Level (Gauss) problems, solutions and discussions from the year 2019.

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October 30, 2023
Prepare for Math Kangaroo Competition with Cheenta

Try the Math Kangaroo mock tests and resources at Cheenta. This is a math olympiad for Grades 6 or below that challenges students with non-routine problems.

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October 30, 2023
NMTC 2015 Stage II - Gauss (Class 5, 6) - Problems and Solutions

NMTC Stage II Primary Level (Gauss) problems, solutions and discussions from the year 2015.

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October 29, 2023
RMO 2023 Problems and Solutions

Problems and Solutions from Regional Math Olympiad 2023 (both versions).

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October 10, 2023
Kaprekar Contest 2023 (NMTC SUB-JUNIOR LEVEL - VII & VIII Grades) - Problems and Solution

Problem and Solution of NMTC Kaprekar Contest Sub - Junior Level 7 & 8 by AMTI.

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October 10, 2023
Gauss Contest (NMTC PRIMARY LEVEL- V and VI Grades) 2022 - Problems and Solution

Problems and Solutions from Gauss Contest (NMTC Primary Level Grade 5 and 6) 2022. This contest is conducted by AMTI.

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October 10, 2023
Bhaskara Contest (NMTC JUNIOR LEVEL-IX and X Grades) 2023 - Problems and Solutions

Problems and Solutions from NMTC Junior (Class IX and X) contest 2023. This contest is conducted by AMTI.

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October 8, 2023
How to prepare for the next IOQM?

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.

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September 8, 2025
IOQM 2025 Questions, Answer Key, Solutions

Here are the problems and solutions of IOQM (Indian Olympiad Qualifier in Mathematics) 2025

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August 24, 2025
NMTC - Screening Test – Ramanujan Contest 2025

Practice NMTC questions of Ramanujan 2025 and sharpen problem-solving skills and prepare for the National Mathematics Talent Contest.

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August 24, 2025
NMTC - Screening Test – KAPREKAR Contest - 2025

Practice NMTC questions of Kaprekar 2025 and sharpen problem-solving skills and prepare for the National Mathematics Talent Contest.

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August 24, 2025
BHASKARA Contest - NMTC - Screening Test – 2025

Here are the NMTC 2025 - Bhaskara Contest Questions and Solutions of the Screening Test, one of the best Mathematical Olympiads in India.

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August 24, 2025
NMTC - Screening Test – GAUSS Contest - 2025

Here is the NMTC 2025 - Gauss Contest Questions and Solutions of the Screening Test, one of the best Mathematical Olympiads in India.

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August 21, 2025
Mid-Project Presentation: AI-Powered Mobile App for Early Cataract Detection

Through initiative taken by Cheenta, participants lead projects that integrate creativity, team collaboration, and leadership

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August 16, 2025
An Advanced Mathematical Journey: The Structure of Operator Algebras

Learn C-algebras, Hilbert spaces, operator theory, and the Gelfand–Naimark theorems with Cheenta’s 8-week course by Dr. Tattwamasi Amrutam.

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August 7, 2025
Sharygin Geometry Olympiad 2025 - India

Problems and Solutions from Sharygin Geometry Olympiad 2025. Final round was held in Kolkata, India at Cheenta Academy.

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June 26, 2025
Cheenta Shines in Purple Comet Math Meet 2025

Cheenta students shine at the Purple Comet Math Meet 2025 organized by Titu Andreescu and Jonathan Kanewith top national and global ranks.

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June 19, 2025
Every Young Students in India Should Take the NMTC 2025

What is NMTC (National Mathematics Talent Contest)? The National Mathematics Talent Contest or NMTC is a national-level mathematics contest conducted by the Association of Mathematics Teachers of India (AMTI). Who can appear for NMTC 2025? Exam fee (2025): Rs.150/- per candidate Syllabus The syllabus of the National Mathematics Talent Contest (NMTC) is similar to the syllabus of the Mathematics Olympiad […]

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