American Mathematics contest 10 (AMC 10) - Statistics problems AMC 10A 2019 Problem 20 The numbers $1,2,\dots,9$ are randomly placed into the $9$ squares of a $3 \times 3$ grid. Each square gets one number, and each of the numbers is used once. What is the probability that the sum of the numbers in each […]
American Mathematics contest 10 (AMC 10) - Combinatorics problems Try these AMC 10 Combinatorics Questions and check your knowledge AMC 10A, 2020, Problem 9 A single bench section at a school event can hold either $7$ adults or $11$ children. When $N$ bench sections are connected end to end, an equal number of adults and […]
Get rolling on your preparation for AMC 10 with Cheenta. This post has all the AMC 10 Algebra previous year Questions, year-wise. Try out these problems: AMC 10A, 2021, Problem 1 What is the value of $\left(2^{2}-2\right)-\left(3^{2}-3\right)+\left(4^{2}-4\right)$ (A) 1 (B) 2 (C) 5 (D) 8 (E) 12 AMC 10A, 2021, Problem 2 Portia's high […]
American Mathematics contest 10 (AMC 10) - Number Theory problems AMC 10A, 2021, Problem 10 Which of the following is equivalent to $$ (2+3)\left(2^{2}+3^{2}\right)\left(2^{4}+3^{4}\right)\left(2^{8}+3^{8}\right)\left(2^{16}+3^{16}\right)\left(2^{32}+3^{32}\right)\left(2^{64}+3^{64}\right) ? $$ (A) $3^{127}+2^{127}$ (B) $3^{127}+2^{127}+2 \cdot 3^{63}+3 \cdot 2^{63}$ (C) $3^{128}-2^{128}$ (D) $3^{128}+2^{128}$ (E) $5^{127}$ AMC 10A, 2021, Problem 11 For which of the following integers $b$ is the base- […]
Euclidean algorithm is used to find GCD (greatest common divisor). Use tutorial video and practise problems to master this tool.
American Mathematics contest 8 (AMC 8) - Geometry problems Try these AMC 8 Geometry Questions and check your knowledge! AMC 8, 2025, Problem 1 The eight-pointed star, shown in the figure below, is a popular quilting pattern. What percent of the entire \(4 \times 4\) grid is covered by the star? (A) 40(B) 50(C) 60(D) […]
Try this beautiful problem from AMC 8. It involves basic inequalities and properties of discriminant of the quadratic equation. We provide sequential hints so that you can try the problem.
Try this beautiful problem from I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination 2016 It is based on simple manipulations and limit of a function. We provide sequential hints so that you can try the problem.
Try this beautiful problem from I.S.I B.Stat. Entrance 2017, UGA . It involves limit and differentiability of a function. We provide sequential hints so that you can try the problem.
Try this beautiful problem from ISI B.Stat. Entrance 2017, UGA It involves maximum and minimum property of a function. We provide sequential hints so that you can try the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Algebraic Equation.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Arithmetic and geometric mean with Algebra.
Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Sequence and fraction.
Try this beautiful problem from the American Invitational Mathematics Examination, AIME I, 1996 based on Finding the smallest positive Integer.
Try this beautiful problem from the American Invitational Mathematics Examination, AIME I, 2000 based on Logarithms and Equations.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1996 based on Amplitude and Complex numbers.
Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1996 based on Roots of Equation and Vieta's formula.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Triangle and integers.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Tetrahedron Problem.
Try this problem from Singapore Mathematics Olympiad, SMO, 2018 based on Functional Equation. You may use sequential hints if required.
Cheenta is conducting an open short course on Geometry for Math Olympiads. Any student who is interested in the fascinating world of mathematics may join it. However it will be most suitable for kids who are in Grades 6 to 9 (though others are welcome to join). Faculty Dr. Ashani Dasgupta PhD in Mathematics from […]
In 2023, the following Cheenta students are successful for Indian Statistical Institute's B.Stat Entrance and Chennai Mathematical Institute's B.Sc. Math Entrance. They ranked within the first 100 in the entire country in these entrances. Most of these students attended the problem solving workshops regularly, which happen 5 times every week. CMI B.Sc. Math Entrance I.S.I. […]
The leaders in the IOQM, ISI Entrance, American Math Competitions and Math Kangaroo mock contests in Cheenta
Please use the following form to contribute problems of CMI BSc Math Entrance 2023. We will work on the solutions. Also come back to this page to see the updates on Problems and Solutions of CMI BSc Math Entrance 2023. B1. Let \( n \) be an odd positive number greater than 1. We have […]
Questions, Solutions and discussions on ISI BStat-BMath Entrance 2023.
4 Cheenta students, Parth Vartak, Abhinav Khetan, Piyush Jha and Mann Shah cracked INMO. It is the hardest Math Olympiad in India. They qualified for IMO Training Camp. In this video we discuss some of the tools used in Cheenta Math Olympiad program and why it is so successful. Particularly 2022-23 has been a truly […]
Solutions of INMO 2023 Problem 1 Let $S$ be a finite set of positive integers. Assume that there are precisely $2023$ ordered pairs $(x, y)$ in $S \times S$ so that the product $xy$ is a perfect square. Prove that one can find at least four distinct elements in $S$ so that none of their […]
We are thrilled to share with you that 11 Cheenta students (and 2 Cheenta alumni) are successful in this year's American Math Competition. Learn more about them here:
Lakhs of students participated in IOQM, the first level of real mathematical olympiads in India. Only 628 are in the top. At least 6 out them are from Cheenta.