Watch the video to learn more about opportunities after Mathematical Olympiads in India, the United States and other countries.
Watch the video to learn more about opportunities after Mathematical Olympiads in India, the United States and other countries.
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.
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.
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 […]
‘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.
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 […]
Find the ISI B.Math/B.Stat Entrance of Indian Statistical Institute, Objective 2024 questions and solutions.
Learn about Quadratic Diophantine Equations and Number Theory Techniques with a problem from ISI BStat BMath Entrance 2015
In this instructional video from Math Olympiad Geometry of AMC, IOQM, ISI-CMI , we delve into the intriguing concept of maximizing area while constrained by a fixed perimeter, employing rectangles and squares as our illustrative models. We explore how subtle adjustments in a rectangle's dimensions can yield substantial variations in its enclosed area, offering a tangible understanding of this fundamental geometric principle.
A problem and solution from ISI BStat BMath Entrance 2015, using the concept of AM - GM Inequality from Algebra
In the world of fake olympiads and thousands of contests, it is important to select the right ones and focus on them. Children take hundreds of tests these days under peer pressure. No good comes out this rat race. We urge kids to learn deep mathematical science and prepare for 1 or 2 real contests […]
Try this Algebra challenge for Math Olympiad and ISI-CMI entrance
American Math Competition 8 (AMC 8) 2024 Problems, Solutions, Concepts and discussions.
PART - I Problem 1 In a convex polygon, the number of diagonals is 23 times the number of its sides. How many sides does it have?(a) 46(b) 49(c) 66(d) 69Answer: B Problem 2 What is the smallest real number a for which the function \(f(x)=4 x^2-12 x-5+2a\) will always be nonnegative for all real […]
PART I Problem 1 The measures of the angles of a pentagon form an arithmetic sequence with common difference \(15^{\circ}\). Find the measure of the largest angle. (a) \(78^{\circ}\)(b) \(103^{\circ}\)(c) \(138^{\circ}\)(d) \(153^{\circ}\) Answer : C Problem 2 If \(x-y=4\) and \(x^2+y^2=5\), find the value of \(x^3-y^3\). (a) -24(b) -2(c) 2(d) 8 Answer : B Problem […]
High school research projects and journals that accept papers from high school students in mathematical science.
Question 1 The axes of a coordinate system $\mathrm{S}_{2}$ are inclined at an angle $\theta$ to those of another coordinate system $\mathrm{S}_{1}$. The origins of both the systems are coinciding. A particle $\mathrm{P}_{1}$ at rest in system $\mathrm{S}_{1}$, starts from point ($-2,0$) and travels along positive direction of $\mathrm{X}_{1}$ axis with uniform acceleration of $1.25 […]
Question 1 A student, intending to catch a bus on the bus stand, finds that the bus starts and accelerates away from him/her with uniform acceleration $a=2 m s^{-2}$ when he is 16 m far from the bus. He runs fast enough with a uniform speed so as just to catch the bus. The minimum […]
Question 1 A particle of mass 0.3 kg starts moving from rest, in one dimension, under a force that delivers constant power $\mathrm{P}=1.5$ watt. The kinetic energy of the particle will be $\mathrm{KE}=15$ Joule after a time of (a) 5 S (b) 10 S (c) 12 S (d) 15 S Question 2 A trolley of […]
Question 1 Select the correct order of dielectric constant, refractive index and intermolecular forces for water $\left(\mathrm{H}_{2} \mathrm{O}\right)$ and heavy water $\left(\mathrm{D}_{2} \mathrm{O}\right)$ at 293 K respectively among those given below (i) Dielectric constant $-\mathrm{H}_{2} \mathrm{O}>\mathrm{D}_{2} \mathrm{O}$ (ii) Dielectric constant $-\mathrm{D}_{2} \mathrm{O}>\mathrm{H}_{2} \mathrm{O}$ (iii) Refractive index $-\mathrm{H}_{2} \mathrm{O}>\mathrm{D}_{2} \mathrm{O}$ (iv) Refractive index $-\mathrm{D}_{2} \mathrm{O}>\mathrm{H}_{2} \mathrm{O}$ […]
Question 1 The magnitude of electrostatic force between two tiny spherical balls carrying charge $\mathrm{q}_{1}$ and $\mathrm{q}_{2}$ separated by a distance r in free space is given by $\mathrm{F}=\mathrm{K} \frac{\mathrm{q}_{1} \mathrm{q}_{2}}{\mathrm{r}^{2}}$ where the constant $\mathrm{K}=9 \times 10^{9}$ in SI units Two tiny spherical balls of carbon $\left({ }_{6}^{12} \mathrm{C}\right)$ weighing 1 g each are kept […]
Question 1 Which of the following graphs is correct for a particle moving in a circle of radius $r$ at a speed of v (where ' $a$ ' is magnitude of acceleration) ? Question 2 Electronic configuration of $\mathrm{Na}^{+}$ is $(2,8)$ and that of sodium element is $(2,8,1)$. Choose the correct statements. (i) $\quad \mathrm{Na}^{+}{ […]
Question 1 Alicia had two containers. The first was $\frac{\mathbf{5}}{\mathbf{6}}$ full of water and the second was empty. She poured all the water from the first container into the second container, at which point the second container was $\frac{\mathbf{3}}{\mathbf{4}}$ full of water. What is the ratio of the volume of the first container to the […]
Question 1 Isabella's house has 3 bedrooms. Each bedroom is 12 feet long, 10 feet wide, and 8 feet high. Isabella must paint the walls of all the bedrooms. Doorways and windows, which will not be painted, occupy 60 square feet in each bedroom. How many square feet of walls must be painted? (a) 678 […]
Question 1 A basketball player made 5 baskets during a game. Each basket was worth either 2 or 3 points. How many different numbers could represent the total points scored by the player? (a) 2 (b) 3 (c) 4 (d) 5 (e) 6 Question 2 A \(4 \times 4\) block of calendar dates is shown. […]
Question 1 Each morning of her five-day workweek, Jane bought either a 50 -cent muffin or a 75 -cent bagel. Her total cost for the week was a whole number of dollars. How many bagels did she buy? (a) 1 (b) 2 (c) 3 (d) 4 (e) 5 Question 2 Which of the following is […]
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।
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।
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 […]
সংখ্যাতত্ত্ব লেখাটিতে আমরা Pythagorean triplet বা পিথাগোরীয়ান ত্রয়ী নিয়ে আলোচনা করা হয়েছে ।
দৈনন্দিন জীবনে বস্তু গোনবার পদ্ধতি খুব কাজের জিনিস । এই পোস্ট থেকে একটি পদ্ধতি সম্বন্ধে জানব যা ডিরিশিলিটের বাক্স নীতি বা ইংরেজিতে Pigeonhole principle বলে।
A post on homological triangles... topic of our math camp August 2014 (in Scotland)
The session opened with a Physics class focused on the concepts of reflection and refraction, demonstrated engagingly through the use of a laser pointer. This visual and interactive approach helped the children grasp these optical phenomena in a way that was both accessible and memorable. The class then moved on to mathematics, where the children […]
The class began on a warm and celebratory note, with everyone taking a moment to admire the beautiful handmade cards the children had crafted for Teachers' Day. Their creativity and thoughtfulness set a cheerful tone for the rest of the session. Following this, the teaching moved into a hands-on exploration of paper-folding, where the children […]
In the indoor Patterns Lab session, the children engaged with two puzzles designed to stimulate their analytical thinking — one centered around shapes and the other around numbers. Both puzzles turned out to be moderately challenging for the young participants and required more time than initially expected to work through. Despite the difficulty, the children […]
Week 19 of the Hundred Miles Project asked learners to draw together several strands of the programme in this stage's assessment paper, while the hands-on session focused on consolidating stitch work already assigned by the instructor rather than introducing anything new. In the Literacy module, participants read a passage describing how the programme was built […]
Project: Leaf Detectives The inaugural session of Uddalaka was a memorable one, attended by three young participants, Rusha, Aaryan, and Aanhik — all studying in grades 2 through 4. As part of the session's outdoor component, the children visited Rabindra Sarobar, where they explored the natural surroundings and collected leaves from Kadam and Peepul trees. […]
On 30th August 2026, young mathematics enthusiasts across Kolkata gathered at Mitra Institution (Main) for the preliminary round of the National Mathematics Talent Contest (NMTC) — one of India's longest-running mathematical olympiads. Cheenta took charge of conducting the exam in the city, with invigilation handled by Deepan Dutta, Raghunath J V, Shilpa Bera, Taniya Das […]
Cheenta is hosting the National Mathematics Talent Contest (NMTC) 2026 Preliminary Round on 30th August 2026 at Mitra Institution (Main), Kolkata. In the weeks leading up to it, Cheenta ran an offline workshop at its Lake Place Road center, from 8th to 29th August to get students ready for the kind of thinking NMTC actually […]
Week 18 of the Hundred Miles Project brought together composition and financial planning in this stage's assessment paper, alongside a hands-on session that returned to the French knot and buttonhole stitch. In the Literacy module, participants read a letter left by a grandmother for her grandchildren, urging them to keep reading, questioning, and learning no […]
Week 17 of the Hundred Miles Project moved learners into more composition-focused territory as they worked through this stage's assessment paper, alongside a hands-on session dedicated to the buttonhole stitch. In the Literacy module, participants read about a woman who kept an evening notebook, recording what she learned, what she found difficult, and one goal […]
Cheenta’s after-school programme for thinkers and doers is presently open to children between the ages of 6 and 11. It is frugal by design and driven by mathematical sciences and creativity.