Here are the problems and their corresponding solutions from B.Math Hons Objective Admission Test 2007. Problem 1 : The number of ways of going up $7$ steps if we take one or two steps at a time is (A) $19$ ;(B) $20$;(C) $21$ ;(D) $22$ . Problem 2 : Consider the surface defined by $x^{2}+2 […]
Here, you will find all the questions of ISI Entrance Paper 2011 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let $a \geq 0$ be a constant such that $\sin (\sqrt{x+a})=\sin (\sqrt{x})$ for all $x \geq 0 .$ What can […]
Here, you will find all the questions of ISI Entrance Paper 2010 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Prove that in each year, the $13$ th day of some month occurs on a Friday. Problem 2: In the accompanying […]
Here, you will find all the questions of ISI Entrance Paper 2009 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $x, y, z$ be non-zero real numbers. Suppose $\alpha, \beta, \gamma$ are complex numbers such that $|\alpha|=|\beta|=|\gamma|=1 .$ If $x+y+z=0=\alpha […]
Here, you will find all the questions of ISI Entrance Paper 2008 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function. Suppose $$f(x)=\frac{1}{t} \int_{0}^{t}(f(x+y)-f(y)) d y$$ for all $x \in \mathbb{R}$ and […]
In 2021, Cheenta is proud to introduce 5-days-a-week problem solving sessions for Math Olympiad and ISI Entrance.
Here, you will find all the questions of ISI Entrance Paper 2014 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: The system of inqualities $a-b^{2} \geq \frac{1}{4}$, $b-c^{2} \geq \frac{1}{4}$, $c-d^{2} \geq \frac{1}{4}$, $d-a^{2} \geq \frac{1}{4}$ has(A) no solutions(B) exactly one solution(C) […]
Here, you will find all the questions of ISI Entrance Paper 2013 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $i=\sqrt{-1}$ and $S=\{i+i^{2}+\cdots+i^{n}: n \geq 1\} .$ The number of distinct real numbers in the set $S$ is (A) 1(B) 2(C) […]
Complex numbers and geometry are very closely related. We consider a problem from I.S.I. Entrance that uses this geometric character complex numbers.
Try a beautiful problem from complex numbers and geometry. It is from I.S.I. Entrance. We have created sequential hints to make this mathematical journey enjoyable!
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.
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 […]
Here are the problems and solutions of IOQM (Indian Olympiad Qualifier in Mathematics) 2025
Practice NMTC questions of Ramanujan 2025 and sharpen problem-solving skills and prepare for the National Mathematics Talent Contest.
Practice NMTC questions of Kaprekar 2025 and sharpen problem-solving skills and prepare for the National Mathematics Talent Contest.
Here are the NMTC 2025 - Bhaskara Contest Questions and Solutions of the Screening Test, one of the best Mathematical Olympiads in India.
Here is the NMTC 2025 - Gauss Contest Questions and Solutions of the Screening Test, one of the best Mathematical Olympiads in India.
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 […]
Problem 1 Gravitational collapse is the contraction of an astronomical object under its own gravity. This draws the matter inwards towards the centre of gravity. A neutron star is an example of the collapsed core of a giant star. A certain neutron star of radius 10 km is of mass \(1.5 M_{\odot}\). The acceleration due […]
Problem 1 Which one of the following statements is INCORRECT? (A) If the net force on a body is zero, its velocity is constant or zero(B) If the net force on a body is zero, its acceleration is constant and(C) If the velocity of a body is constant, its acceleration is zero(D) A body may […]
During the 25th week of training, students participated in a variety of academic and creative learning activities, making the sessions both engaging and productive. The week began with an introductory English class, where students focused on basic language skills, including reading comprehension and vocabulary building. Students were also given a question paper that included basic […]
During the 23rd week of training, students participated in a session designed to enhance their communication, behavior, and digital skills through simple, everyday activities. The class created a supportive environment where they could practice speaking confidently, interacting politely, and using digital tools in a purposeful and effective manner. As a result, students showed noticeable improvement […]
During the 24th week of training, students actively engaged in both academic and creative activities, making the session productive and well-rounded. The day began with a short assessment aimed at evaluating their comprehension and analytical skills. Based on a brief English passage, the test required students to answer questions that reflected their understanding, vocabulary, and […]
The 22nd week of the Kankinara Faculty and Training Programme, held on March 8th, 2026, focused on establishing a strong foundation in core academic competencies. The week’s sessions were designed to help faculty assess and reinforce fundamental skills through structured testing and consistent verbal practice, ensuring that the learning journey remains both measurable and progressive. […]
The 21st week of the Kankinara Faculty and Training Programme, held on March 1st, 2026, focused on bridging the gap between digital tools and professional communication. The week’s sessions were designed to help faculty and students experience how to conduct integrated classes where technology and language skills are taught through practical application and real-world scenarios, […]
The 20th week of the Kankinara Faculty and Training Programme, held on February 20th, focused on evaluating academic progress while embracing a significant expansion of the learning community. The week’s sessions were designed to bridge previous knowledge with new digital and creative skills, maintaining the programme's commitment to a holistic and inclusive educational environment. The […]
The 19th week of the Kankinara Faculty and Training Programme focused on expanding academic horizons through historical narratives and spatial awareness. The week’s sessions were designed to help faculty experience how to conduct integrated classes where geography and history are taught through engaging storytelling and visual exploration, keeping students actively involved and motivated. Two faculty […]
The 18th week of the Kankinara Faculty and Training Programme focused on collaborative classroom engagement and creative learning through activity-based sessions. The week’s sessions were designed to help faculty experience how to conduct integrated classes where language learning and hands-on activities go together, keeping students actively involved and motivated. Two faculty members from Kankinara attended […]
The 17th week of the Kankinara Faculty and Training Programme focused on strengthening digital documentation skills through practical training on Google Docs. The sessions were designed to help participants create structured academic materials for classroom use in an organised and professional manner. Participants were guided on how to use Google Docs to prepare question–answer papers […]
The 16th week of the Kankinara Faculty and Training Programme focused on developing social awareness, values, and language skills through lessons on basic etiquette and moral learning. The sessions were designed to help participants understand appropriate behaviour in everyday and professional settings while strengthening their reading and comprehension abilities. Participants were introduced to basic etiquette, […]