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March 10, 2022
What are opportunities after Math Olympiad?

Watch the video to learn more about opportunities after Mathematical Olympiads in India, the United States and other countries.

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September 3, 2021
Walking with the Masters

reading a book written by a true master is like learning from him or her directly. It is an outstanding opportunity that none of us should miss. Here are some of those walks with the masters, that has transformed my life and the way I do mathematics. You may use this list of beautiful mathematics books to stay inspired.

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July 31, 2021
No-short-cut approach at Cheenta

If you are preparing for Mathematics Olympiads, ISI-CMI Entrances or challenging College level entrances then this article is for you. We will describe the no short-cut approach of Cheenta Programs and how you can use them.

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October 28, 2020
Letter to parents: Talk about infinity

Dear parent, One of the key contributions of modern mathematics is its tryst with infinity. As parents and teachers we can initiate thought provoking communication with our children using infinity. Consider the following set: N = {1, 2, 3, … } Notice that N contains infinitely many elements. Take a subset of N that consists […]

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January 17, 2020
Teachers for Tomorrow - Day 1

‘Teachers for Tomorrow’ is a unique program for parents and teachers who wish to take their kids / students an extra mile in mathematical training. Cheenta uses modern tools (such as Latex, GeoGebra, STACK etc.) to deliver its courses. It also uses carefully experimented teaching methods developed in USSR, United States, and India. We firmly believe that these tools and methods are very valuable in stimulating creativity in young mind.

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November 15, 2019
Imagination and reason in Mathematics

Philosophical Remarks When did we first fall in love with mathematics? For me, it was in class 6. My father exposed me to a problem from Euclidean geometry. We were traveling in Kausani. After days of frustration and failed attempts, I could put together the ‘reason’ that made ‘everything fit together perfectly’. The problem was […]

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October 25, 2025
CatScan - August Diary

August marks the pivotal month when the Cat-Scan app takes its final shape. The focus shifts from coding individual features to integrating the app, preparing for user testing, and fine-tuning the database and user interface. By the end of this month, the core functionalities—image capture, pupil detection, and AI predictions—are up and running, ready for […]

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October 25, 2025
CatScan - June Diary

June opens with a practical goal: turn May’s plan into a working, pupil-first pipeline. The first week focuses on data hygiene. A simple utility groups images into clean folders, fixes broken names, and flags duplicates. Students can now find, compare, and reuse images without guesswork. Attention shifts to what a field worker will actually see. […]

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October 18, 2025
CatScan - May Diary

The month begins with a new cohort of students joining the program and meeting a clear reality: in many villages, a cataract check can cost an entire day’s travel and lost wages. The team frames the business problem in plain terms—early screening must happen close to home, be simple to use, and lead to timely […]

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July 1, 2025
Australian Mathematics Competition - 2021 - Junior years - Grade 7 & 8 - Questions and Solutions

Try out the problems from Australian Math Competition - 2021 - Junior for Grade 7 and 8

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July 1, 2025
Australian Mathematics Competition - 2023 - Middle Primary - Grade 3 & 4 - Questions and Solutions

Try out the problems from Australian Math Competition - 2015 - Middle Primary

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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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May 11, 2025
ISI BStat-BMath UGA & UGB 2025 Problem and Solution

UGA 1. (A) 2. (C) 3. (B) 4. (B) 5. (A) 6. (D) 7. (D) 8. (D) 9. (B) 10. (B) 11. (C) 12. (D) 13. (C) 14. (D) 15. (B) 16. (D) 17. (D) 18. (C) 19. (C) 20. (A) 21. (A) 22. (C) 23. (B) 24. (A) 25. (C) 26. (B) 27. (A) […]

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October 17, 2024
Exploring the Chinese Remainder Theorem for Polynomials: CMI B.Sc. Entrance 2016- Subjective Problem 5

Isn't it exciting to know that Chinese Remainder Theorem can also be applied in the context of polynomials?

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August 25, 2024
ISI BStat BMath Entrance 2018 - Objective Problems and Answers

Indian Statistical Institute BStat and BMath Entrance 2018 Objective Problems and Answers

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July 20, 2024
Exploring Locus Problems in Math Olympiad Geometry

Learn about the concept of Locus problem in Geometry of Math Olympiad

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January 6, 2026
AMERICAN MATHEMATICS COMPETITION 8 - 2014

Problem 1 Harry and Terry are each told to calculate $8-(2+5)$. Harry gets the correct answer. Terry ignores the parentheses and calculates $8-2+5$. If Harry's answer is $H$ and Terry's answer is $T$, what is $H-T$ ?(A) -10(B) -6(C) 0(D) 6(E) 10 Answer (A) -10 Problem 2 Paul owes Paula 35 cents and has a […]

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January 4, 2026
American Mathematics Competition 8 - 2009

American Mathematics Competition 8 (AMC 8) – 2009 features a carefully selected set of middle-school-level problems designed to test logical thinking, arithmetic skills, and problem-solving ability. This post presents the questions with clear answers, making it a useful resource for students preparing for AMC 8 and similar mathematics competitions.

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January 4, 2026
AMERICAN MATHEMATICS COMPETITION 8 - 2023

A thoughtfully curated collection of problems and solutions from the AMC 8 2023. This post offers clear explanations, logical reasoning, and step-by-step solutions to help students strengthen their foundations and prepare confidently for mathematics Olympiads.

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January 3, 2026
AMERICAN MATHEMATICS COMPETITION 8 - 2024

A complete and carefully written set of problems and solutions from the American Mathematics Competition 8 (AMC 8) 2024. This post presents clear mathematical reasoning, step-by-step solutions, and multiple-choice answers, making it useful for students preparing for Olympiad-level competitions as well as teachers guiding structured problem-solving practice.

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November 12, 2025
AMC 10A 2025

Problem 1 Andy and Betsy both live in Mathville. Andy leaves Mathville on his bicycle at $1: 30$ traveling due north at a steady 8 miles per hour. Betsy leaves on her bicycle from the same point at 2:30, traveling due east at a steady 12 miles per hour. At what time will they be […]

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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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September 29, 2018
ফ্রি গ্রুপের গ্রোমোভ সীমান্তে একলা থাকেন ক্যান্টর

মানচিত্র আঁকছিলাম। রাস্তা গুলো সোজা সোজা। উত্তর, দক্ষিণ, পুব, পশ্চিমে যাওয়া যায়। এক ধাপ ডাইনে গেলে, সঙ্গে সঙ্গে এক ধাপ বাঁয়ে ফেরার নিয়ম নেই। (তাহলে আর ডাইনে গেলাম কেন!) তেমনি একধাপ উত্তরে গেলে, সঙ্গে সঙ্গে একধাপ দক্ষিণে ফেরাও মানা। 

মানচিত্র আঁকতে আঁকতে দেখলাম এক উদ্ভট দেশ তৈরি হচ্ছে। সে দেশের প্রতি চৌমাথায় অসীম সব রাস্তা। সে সব রাস্তা আবার একে অপরের সঙ্গে তেমন দেখা সাক্ষাৎ করে না। এ হেন দেশের সীমান্ত নিয়ে আমাদের যত মাথা ব্যাথা। খুঁজতে খুঁজতে বেড়িয়ে পড়ল এক আজব কিস্যা!

সীমান্তে একলা দাঁড়িয়ে আছেন ক্যান্টর। 

বাকি আড্ডা ভিডিও তে।

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May 8, 2018
লিনিয়ার বীজগণিত (বাংলায় আধুনিক গণিত)

লিনিয়ার বীজগণিত নিয়ে আমরা একটি ভিডিও সিরিজ তৈরী করছি। 'চিন্তা'-র কলেজ গণিত প্রোগ্রামে যদিও প্রধানত ইংলিশে আলোচনা হয়, আমরা চেষ্টা করি বিভিন্ন আঞ্চলিক ভাষা গুলোতে কিছু আলোচনা করতে।   পরবর্তী আলোচনা গুলো খুব আসছে এই পাতায়।

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April 4, 2018
গ্রুপোন্তিশ ২
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April 3, 2018
গ্রুপোন্তিশ ১

গ্রুপ থিয়োরি নিয়ে বাংলায় একটা কোর্স তৈরি করার ইচ্ছা বহুদিনের। এই ভিডিও সিরিজটা তারই শুরুয়াদ। আমরা প্রচুর ইংরেজি শব্দ ব্যাবহার করব। তারই সাথে চলতি বাংলা থেকে কিছু ছবি, কিছু কথা, কিছু ধ্বনি আনিত হবে।  গ্রুপ কয় কাহারে? আমরা 'ডেফিনেশন' দিয়ে শুরু করতে পারি। কিন্তু তার বদলে শুরু করছি একটা বেশ কৌতূহলোদ্দীপক উদাহরণ দিয়ে। ভিডিওটা দেখার […]

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November 29, 2015
সংখ্যাতত্ত্ব ১

সংখ্যাতত্ত্ব লেখাটিতে আমরা Pythagorean triplet বা পিথাগোরীয়ান ত্রয়ী নিয়ে আলোচনা করা হয়েছে ।

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September 27, 2014
ইঁদূরের গর্ত থেকে ডিরিশলেটের বাক্স

দৈনন্দিন জীবনে বস্তু গোনবার পদ্ধতি খুব কাজের জিনিস । এই পোস্ট থেকে একটি পদ্ধতি সম্বন্ধে জানব যা ডিরিশিলিটের বাক্স নীতি বা ইংরেজিতে Pigeonhole principle বলে।

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August 12, 2014
এক তারা - দোতারা - তিন তারা

A post on homological triangles... topic of our math camp August 2014 (in Scotland)

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