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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 2018 Stage II - BHASKARA (Class 9, 10) - Problems and Solutions

NMTC Stage II Junior Level (BHASKARA) problems, solutions and discussions from the year 2018.

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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 18, 2025
Filibot June Diary: Prototyping & Purpose

In June, Filibot moved from imagination to implementation. The student team brought their ideas to life by designing, prototyping, and testing games like Space Trivia, while learning to balance fun with educational depth. Through trial, feedback, and iteration, June became a milestone in developing Filibot's playful, skill-based learning tools.

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October 18, 2025
Filibot May Diary: The Journey Begins

In May, the Filibot project took its very first steps as a student-led innovation in education. A diverse team of learners from across India came together with a shared dream: to build a playful, purposeful, and tech-powered learning platform for grassroots schools. Through brainstorming sessions, hands-on science activities, and the early development of their flagship game Space Trivia, the team laid the foundation for an ecosystem that blends learning with joy. Guided by mentors and united by vision, May was the month where curiosity met creation — and Filibot came to life.

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October 5, 2025
Alankrita — August 2025 Diary

In August the Alankrita student team moved design into action. First, students sketched new products. They designed small bags, earrings, pendants, and accessory sets. Each design followed the moodboard and regional palettes from July. The team also listed materials and estimated production time for every sketch. Next, the artisan prepared sample lists. The students prioritized […]

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October 5, 2025
Alankrita — July 2025 Diary

July 2025 — Alankrita opened an artisan hub in Halisahar, hired an artisan, onboarded two Filix students, and began aesthetics analytics, mapping regional colour palettes, motifs and photo styles.

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October 5, 2025
Alankrita — June Diary

In June the Alankrita student team moved from learning to doing. Four students — Ruthvik, Tanish, Gurnoor, and Pragya — created a moodboard, a short brand guide, SOPs, logo files, and two packaging concepts. These assets will make product photos, listings, and packaging look consistent and professional.

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October 4, 2025
Alankrita May Diary

May was the first month of the Alankrita project. Four students — Ruthvik, Tanish, Gurnoor, and Pragya — joined the project to learn how the business works. The team spent May reviewing the brand’s data: product images, the sales register, and customer details. They also studied product-making steps and how orders are recorded to understand […]

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September 9, 2025
Mid-Project Presentation: The Alankrita Leadership Project

Cheenta students are supporting a sustainable jewelry brand from West Bengal through design, storytelling, and tech-driven solutions.

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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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