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 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 […]
Question 1 What is \(100(100-3)-(100 \cdot 100-3)\) ? (a) \(-20,000\) (b) \(-10,000\) (c) -297 (d) -6 (e) 0 Question 2 Makayla attended two meetings during her 9 -hour work day. The first meeting took 45 minutes and the second meeting took twice as long. What percent of her work day was spent attending meetings? (a) […]
Question 1 What is \[ \frac{2+4+6}{1+3+5}-\frac{1+3+5}{2+4+6}? \] (a) \(-1\) (b) \(\frac{5}{36}\) (c) \(\frac{7}{12}\) (d) \(\frac{147}{60}\) (e) \(\frac{43}{3}\) Question 2 Josanna's test scores to date are \(90,80,70,60,\) and 85. Her goal is to raise her test average at least 3 points with her next test. What is the minimum test score she would need to accomplish […]
Question 1 Each third-grade classroom at Pearl Creek Elementary has 18 students and 2 pet rabbits. How many more students than rabbits are there in all 4 of the third-grade classrooms? (a) 48 (b) 56 (c) 64 (d) 72 (e) 80 Question 2 A circle of radius 5 is inscribed in a rectangle as shown. […]
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)
What happens when elementary school mathematics leaves the textbook and enters the garden, the night sky, and embroidered cloth? We share three open-ended problems for grades 1 to 6, each built on two levers, discovery and creation, and each ending with an invitation to invent a definition.
During Week 12 of the Teacher Training Program, the trainees actively participated in a comprehensive assessment covering three important areas: Literacy, Numeracy, and Digital Literacy. The assessment was designed to evaluate their knowledge, understanding, and practical application of the concepts learned during the training. All participants completed the assessment with dedication and enthusiasm, demonstrating their […]
Question 1 Two wave pulses I and II have the same wavelength. They are travelling in the directions as shown by the single headed arrows. The resultant sketch of the two wave pulses at some instant of time when $P$ coincides with $R$ is ____ . Question 2 The equivalent resistance of two resistances in […]
Semiconductors sit at the heart of nearly every modern technology, and this minicourse traces the full arc from materials to finished chips. It opens with inorganic semiconductor devices, laying out the physics of diodes, transistors, and junctions that have powered electronics for decades. Organic semiconductor devices follow, exploring how carbon-based materials enable flexible, low-cost alternatives […]
IX-XAnalytical Questions Q1 500 kg ভরের একটি কামান থেক 5 kg ভরের একটি গোলা ছোঁড়ায় কামানটি 1ms-1 বেগে পিছনে ছিটকে আসে । যদি গোলাটি 1000 kg ভরের একটি স্থির ঘোড়ার গাড়ির উপর আঘাত হেনে এতে গতির সঞ্চার করে তাহলে গাড়ির ও ঘোড়ার সম্মিলিত বেগ কত ? (অভিকর্ষ, বাতাসের বাধা, ঘর্ষণ ইত্যাদির প্রভাব উপেক্ষণীয়) A cannon […]
Question 1 A particle moves along a straight line. Its displacement S varies with time t according to the law $s^{2}=a t^{2}+2 b t+c$ ( $\mathrm{a}, \mathrm{b}$ and c are constants). The acceleration of this particle varies as (a) $S^{0}$ (b) $s^{-1}$ (c) $S^{-2}$ (d) $s^{-3}$ Question 2 A ball A (mass $m_{1}$ ) moving […]
Question 1 A point mass m moves in a straight line under a retardation $k v^{2}$ [where $k$ is a positive constant and $v$ is the instantaneous velocity]. The initial velocity of the point mass is $u$. The displacement of the point mass at time t is (a) $\frac{1}{k} \ln (1+k u t)$ (b) $\frac{1}{k} […]
During Week 11 of the Teacher Training Program, the trainees participated in an assessment covering three essential areas: Literacy, Numeracy, and Digital Literacy. The purpose of the assessment was to evaluate their knowledge, practical understanding, and ability to apply the skills acquired during the training. The activities included reading and writing tasks, numeracy exercises, and […]
Question 1 Let $\alpha$ and $\beta$ be the roots of $x^{2}-5 x+3=0$ with $\alpha>\beta$. If $a_{n}=\alpha^{n}-\beta^{n}$ for $n \geq 1$ then the value of $\frac{3 a_{6}+a_{8}}{a_{7}}$ is (a) 2 (b) 3 (c) 4 (d) 5 Question 2 The number of triples $(x, y, z)$ such that any one of these numbers is added to the […]
Question 1 A tiny ball of mass $m$ is initially at rest at height $H$ above a cake of uniform thickness $h$. At some moment the particle falls freely, touches the cake surface and then penetrates in it at such a constant rate that its speed becomes zero on just reaching the ground (bottom of […]