This is a Test of Mathematics Solution Subjective 144 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose $ f(x)$ is […]
This is a Test of Mathematics Solution Subjective 127 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Find all (x, y) such that sin x + sin y = sin (x+y) […]
This is a Test of Mathematics Solution Subjective 126 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Sketch, on plain paper, the regions represented, on the plane by the following: (i) […]
This is a Test of Mathematics Solution Subjective 125 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Let $ f: \mathcal{N} to \mathcal{N} $ be the function defined by f(0) = […]
This is a Test of Mathematics Solution Subjective 124 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Sketch on plain paper, the graph of $ y = \frac {x^2 + 1} […]
This is a subjective problem from TOMATO based on Graphing integer value function. Problem: Graphing integer value function Let [x] denote the largest integer (positive, negative or zero) less than or equal to x. Let $y= f(x) = [x] + \sqrt{x - [x]} ,s=2 $ be defined for all real numbers x. (i) Sketch on […]
This is a Test of Mathematics Solution Subjective 116 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If A, B, C are the angles of a triangle, then show that $ […]
This is a Test of Mathematics Solution Subjective 115 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If $\displaystyle { \frac{\sin^4 x }{a} + \frac{\cos^4 x }{b} = \frac{1}{a+b} }$ , […]
This is a Test of Mathematics Solution Subjective 113 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem: Find the vertices of the two right angles triangles, each having area 18 and […]
This is a Test of Mathematics Solution Subjective 110 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: : Let ABCD be a […]
IIT Kanpur is starting admission through real Math Olympiad (IOQM, RMO, INMO). Other departments may join.
Explore Combinatorial Problem No. 6 from RMO 2024 and solve it effortlessly with guidance from the expert faculty at Cheenta Academy.
Regional Math Olympiad RMO 2024 problems, solutions and discussions.
Cheenta hosted the final round of prestigious Sharygin Geometry Olympiad in India conducted by organisers from esteemed institutions in Russia.. The olympiad is intended for high-school students of four eldest grades. This post contains the problems from this contest.
Concyclicity of Cyclic Quadrilateral and Angle chasing can help to solve complex geometry problems of Singapore Math Olympiads.
Solve a beautiful geometry problem from RMO 2005 with the help of Apollonius Theorem and Cosine Rule along with Midpoint Theorem.
39 Cheenta students qualified for IOQM 2024 (RMO cut-off). About 130 kids students appeared in the contest from Cheenta this year making the success rate about 30%. This remarkable achievement is the result of months of dedicated effort. Most of these students regularly participated in Here are some of the qualified students who additionally qualified […]
Problems and Solutions from IOQM 2024, the first level of Math Olympiad in India.
PART - A Problem 1 Let $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}=\frac{m}{n}$, where $m$ and $n$ are positive integers with no common divisors other than 1 . The highest power of 7 that divides $m$ is A. 0B. 1C. 2D. 3 Problem 2 Five spherical balls of diameter 10 cm each fit inside a closed cylindrical tin with internal diameter […]
Problem 1 Saket wanted to add two 2-digit numbers. But he multiplied them and got 629 as the answer. The sum of the two 2-digit numbers is a)56b) 52c) 54d) 46 Problem 2 The sum of three integers is 1 . Their product is 36 . The greatest of these three numbers is a) 12b) […]
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) $\frac{1}{k} \ln$ […]
The National Standard Examination in Physics (NSEP) – 2024 question paper is now available for practice and analysis. As the first stage of the Physics Olympiad programme in India, this exam tests strong conceptual understanding and problem-solving skills across core topics in Physics. Students preparing for Olympiads and competitive exams can use this paper to assess their preparation and deepen their understanding.
Hundred Miles is a small but focused leadership initiative that works with young people from rural and semi-urban areas who want to learn, earn, and grow but lack the resources and motivation to do so. The project recognises that skill development alone is not enough when daily economic pressure and social barriers shape people’s choices. By combining basic financial support, practical skill training, and pathways to earning, Hundred Miles attempts to create motivation from within. It is a slow and grounded effort to help first-generation learners build confidence, dignity, and enthusiasm—both for their own growth and for the students they teach in their communities.
Problem 1What is the value of $\frac{(2112-2021)^{2}}{169}$ ?(A) 7(B) 21(C) 49(D) 64(E) 91 Answer: (C) 49 Problem 2Menkara has a $4 \times 6$ index card. If she shortens the length of one side of this card by 1 inch, the card would have area 18 square inches. What would the area of the card be […]
The 12th week of the Sundarban Faculty Training Programme combined evaluation and skill development through an English assessment, digital training, and communicative practice. Participants completed a structured question paper to reflect on their learning progress, followed by an introduction to Google Sheets for practical skill enhancement. The session concluded with a communicative English class that helped build confidence and reduce hesitation, making the week both reflective and forward-looking in supporting continuous growth.
The 11th week of the Sundarban Faculty Training Programme focused on reinforcing core English skills through a balanced approach to grammar, writing, and speaking. A revision of be-verbs helped clear lingering doubts and strengthened participants’ grammatical foundation. This was followed by practical training in official email writing, where participants learned to communicate clearly and professionally in formal contexts. The session concluded with a three-minute speaking activity on Sundarban, which encouraged participants to practise spoken English and build confidence. Overall, the programme effectively enhanced both communication skills and self-assurance among the faculty members.
In Week 10, teachers strengthened their understanding of English grammar, learning Subject-Verb-Object and be-verbs while continuing tense practice. They also developed digital communication skills by practicing how to write clear and professional official emails.
In Week 9, Sundarban teachers continued practicing English Tense and sentence structure, reviewed student exam copies, and learned how to use email for professional communication. The session blended grammar training with practical assessment and digital literacy.
In Week 8 of the Sundarban Faculty Training, teachers learned to guide students in writing paragraphs on “Amar Sundarban” in Bengali and English. The session also introduced the basics of English Tense and encouraged the balanced use of digital tools to create meaningful, engaging classroom lessons.
In Week 7 of the Sundarban Faculty Training, teachers strengthened their English grammar and revision skills through practical lessons based on ‘Amar Boi.’ They also revisited ChatGPT to create lesson ideas and discussed the responsible use of AI, blending traditional teaching with digital learning for more engaging classrooms.