Here, you will find all the questions of ISI Entrance Paper 2007 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $x$ be an irrational number. If $a, b, c$ and $d$ are rational numbers such that $\frac{a x+b}{cx+d}$ is a rational […]
“The Pigeonhole principle” ~ Students who have never heard may think that it is a joke. The pigeonhole principle is one of the simplest but most useful ideas in mathematics. Let’s learn the Pigeonhole Principle with some applications. Pigeonhole Principle Definition: In Discrete Mathematics, the pigeonhole principle states that if we must put $N + […]
Mathematics Summer Camps help students to feel the richness of Mathematics. These summer mathematics programme in India instills the love for Mathematics in students. In this post, we are going to discuss the Mathematics Summer Camps in India for School and College Students. Here we go: 1. Programs in Mathematics for Young Scientists - PROMYS […]
Here is a video solution for a Problem based on using Vectors and Carpet Theorem in Geometry 1? This problem is helpful for Math Olympiad, ISI & CMI Entrance, and other math contests. Watch and Learn! Here goes the question… Given ABCD is a quadrilateral and P and Q are 2 points on AB and […]
Mahalanobis National Statistics Competition = MNStatC organized by Cheenta Statistics Department with exciting cash prizes. What is MNStatC? Mahalanobis National Statistics Competition (MNStatC) is a national level statistics competition, aimed at undergraduate students as well as masters, Ph.D. students, and data analytics, and ML professionals. MNStatC plans to test your core mathematics, probability, and statistics […]
Here is a video solution for a Problem based on Bijection Principle. This is an Objective question 22 from TOMATO for ISI Entrance. Watch and Learn! Here goes the question… Given that: x+y+z=10, where x, y and z are natural numbers. How many such solutions are possible for this equation? We will recommend you to […]
Here is a video solution for a Problem based on finding the area of a quadrilateral. This question is from American Mathematics Competition, AMC 12, 2018. Watch and Learn! Here goes the question… Connect the centroids of the four triangles in a square. Can you find the area of the quadrilateral? We will recommend you […]
Here is a video solution for ISI Entrance Number Theory Problems based on solving weird equations using Inequality. Watch and Learn! Here goes the question… Solve: 2 \cos ^{2}\left(x^{3}+x\right)=2^{x}+2^{-x} We will recommend you to try the problem yourself. Done? Let’s see the proof in the video below: Some Useful Links: How to Construct Rational Numbers? […]
Here is a video solution for ISI Entrance Number Theory Problems based on AM-GM Inequality Problem. Watch and Learn! Here goes the question... a, b, c, d are positive real numbers. Prove that: (1+a)(1+b)(1+c)(1+d) <= 16. We will recommend you to try the problem yourself. Done? Let's see the proof in the video below: Some […]
Here is a video solution for ISI Entrance Number Theory Problems based on Sum of 8 fourth powers. Watch and Learn! Can you show that the sum of 8 fourth powers of integers never adds up to 1993? How can you solve this fourth-degree diophantine equation? Let's see in the video below: Some Useful Links: […]
NMTC Stage II Primary Level (Gauss) problems, solutions and discussions from the year 2019.
Try the Math Kangaroo mock tests and resources at Cheenta. This is a math olympiad for Grades 6 or below that challenges students with non-routine problems.
NMTC Stage II Primary Level (Gauss) problems, solutions and discussions from the year 2015.
Problems and Solutions from Regional Math Olympiad 2023 (both versions).
Problem and Solution of NMTC Kaprekar Contest Sub - Junior Level 7 & 8 by AMTI.
Problems and Solutions from Gauss Contest (NMTC Primary Level Grade 5 and 6) 2022. This contest is conducted by AMTI.
Problems and Solutions from NMTC Junior (Class IX and X) contest 2023. This contest is conducted by AMTI.
How to prepare for the first level of real Math Olympiads in India (the IOQM)? In this post we discuss books, learning strategies and other tools.
In 2023, 23 Cheenta students (20 current students and 3 ex-students) qualified in IOQM 2023. This is a result of a lot of hard work over several months. Most of these kids regularly attended the five-days-a-week problem solving sessions apart from concept class + homework class + doubt clearing class.
Cheenta is offering a 36-hour program on AMC 10 & 12. In this short review course, we will cover concepts from Number Theory, Geometry, Algebra, and Combinatorics. This course is problem-driven in nature, in the sense concepts will be introduced and taught using relevant problems. Schedule The program starts on September 9th. The online live […]
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 […]
The Breakthrough Junior Challenge is a global competition for students aged 13–18 to create short, creative videos explaining complex science or math concepts.
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 […]
সমাকলন অথবা ইন্টিগ্রেশনের মানেটুকু বুঝলে আই-এস-আই প্রবেশিকার এই অঙ্কটা করা যাবে। ISI Entrance 2025-এর অঙ্ক নিয়ে আলোচনা।
UGA 1. (A) 2. (C) 3. (B) 4. (B) 5. (A) 6. (D) 7. (D) 8. (D) 9. (B) 10. (B) 11. (C) 12. (D) 13. (C) 14. (D) 15. (B) 16. (D) 17. (D) 18. (C) 19. (C) 20. (A) 21. (A) 22. (C) 23. (B) 24. (A) 25. (C) 26. (B) 27. (A) […]
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 […]
Celebrate the success of Cheenta students in the Stanford Math Tournament. The Unified Vectors team achieved Top 20 in the Team Round.
Arjun Gupta’s journey from IOQM and RMO to winning Gold at the International Mathematical Olympiad (IMO) reflects his dedication. Arjun is also a Cambridge admit of 2025
In 2025, five exceptional students from Cheenta earned spots at Oxford and Cambridge—two of the world’s most prestigious universities. Guided by Cheenta’s acclaimed Path to Ivy League Program, these young achievers exemplify what’s possible with the right mentorship and preparation.