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!
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 […]
Problem 1 Two blocks A and B of masses 1 kg and 4 kg respectively are moving with equal kinetic energies. Read the following statements \(S_1\) and \(S_2\)Statement \(S_1\) : Ratio of speed of the block A to that of B is (1: 2)Statement \(S_2\) : Ratio of magnitude of linear momentum of (A) to […]
American Math Competition 8 (AMC 8) 2024 Problems, Solutions, Concepts and discussions.
Problems and Solutions from Indian National Mathematical Olympiad (INMO) 2025, the third level of Math Olympiad in India.
1 What is the value of the following expression? 1+2-3+4+5-6+7+8-9+10+11-12 A. 18 B. 21 C. 24 D. 27 E. 30 Answer - A 2 In the array shown below, three 3 s are surrounded by 2 s, which are in turn surrounded by a border of 1 s . What is the sum of the […]
1. একটি দণ্ডের দৈর্ঘ্য, 12.30 cm অন্যটির 3.456 cm । মোট দৈর্ঘ্য কত দশমিক স্থান পর্যন্ত লেখা উচিত? (The measurement of a rod is 12.30 cm and another rod is 3.456 cm . Their total length should be recorded as — ) (A) 15.756 cm (B) $\quad 15.76 \mathrm{~cm}$ (C) 15.8 cm (D) 15.75 cm […]
1. একজন শিক্ষার্থী $4.56 \times 1.4 \times 2.345$ গুণ করলে ফলাফল কতটি Significant Figure নিয়ে লেখা উচিত? (A student multiplies $4.56 \times 1.4 \times 2.345$. The answer should be expressed with how many significant figures?) (A) 5 (B) 4 (C) 3 (D) 2 2. যদি $g=9.8 \mathrm{~m} / \mathrm{s}^{2}$, তবে $\mathrm{cm} / \mathrm{min}^{2}$ এককে এর […]
1. যদি দৈর্ঘ্য, ভর ও সময়ের একক যথাক্রমে $a, b$, ও $c$ গুণ পরিবর্তন করা হয়, তবে শক্তির নতুন একক কী হবে? (If the base units of length, mass, and time are changed to $a$ times, $b$ times, and $c$ times of their original values respectively, what will be the new unit of energy?) (A) […]
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.