This is a Test of Mathematics Solution Subjective 188 (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 Consider the squares of an $ 8 X 8 $ chessboard filled with the […]
This is a Test of Mathematics Solution Subjective 181 (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 that one moves along […]
This is a Test of Mathematics Solution Subjective 177 (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 There are 1000 doors $ […]
This is a Test of Mathematics Solution Subjective 176 (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 that P(x) is a […]
This is a Test of Mathematics Solution Subjective 175 (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 \(\text{P(x)}=x^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+\dots+a_{1}x+a_{0}\) be a polynomial […]
This is a Test of Mathematics Solution Subjective 170 (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 \({C_n}\) be an infinite […]
This is a Test of Mathematics Solution Subjective 166 (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 A cow is grazing with […]
This is a Test of Mathematics Solution Subjective 157 (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 Evaluate $ \mathbf {\displaystyle \lim_{n […]
This is a Test of Mathematics Solution Subjective 155 (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 Evaluate: $ \lim_{n\to\infty} (\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+...+\frac{1}{n+n})$ […]
This is a Test of Mathematics Solution Subjective 150 (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 Find the maximum among $ […]
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.
Solve beautiful Number Theory problem from IMO 1959 with the help of Euclidean Algorithm and Division Lemma.
Schedule of the Test: Registration Fee: The registration fee is $8.00 per participant (from SMS institutional member schools) per competition category; and $10.00 per participant (from non-institutional member schools). The participants' names and fees should be forwarded by the Head of the Department of Mathematics (of the competing school) to the Chairman of the Competition Committee in the prescribed […]
Here are the problems and solutions of American Math Competition AMC 10A 2024, consisting of 25 questions in MCQ Format
The American Mathematics Contest 12 (AMC 12) is the first exam in the series of exams used to challenge bright students, grades 12 and below, on the path towards choosing the team that represents the United States at the International Mathematics Olympiad (IMO). High scoring AMC 12 students are invited to take the more challenging American Invitational Mathematics Examination (AIME). The […]
Here are the problems and solutions of American Math Competition AMC 10A 2024, consisting of 25 questions in MCQ Format
Here are the problems and solutions of American Mathematics Contest (AMC 12A) of the year 2024 exclusively at Cheenta Academy
It's so beautiful to see Euler's Line, collinearity and triangle properties coming together to solve Problem No. 3 of RMO 2024
The 15th week of the Kankinara Faculty and Training Programme was dedicated to strengthening and reinforcing the skills developed throughout the previous weeks. Instead of introducing new topics, the sessions focused on revisiting key areas of learning to ensure clarity, confidence, and long-term retention. Participants engaged in guided revision of English grammar concepts, sentence construction, […]
The 14th week of the Kankinara Faculty and Training Programme marked an important milestone, as it focused on evaluating the overall learning progress of the participants through a structured examination. The assessment was designed based on the training conducted over the previous weeks and aimed to measure participants’ understanding of English language skills, grammar concepts, […]
The 13th week of the Sundarban and Kankinara Faculty and Training Programme focused on introducing participants to modern digital tools while reinforcing their English language foundation. The sessions were designed to help participants become more confident users of technology for learning, communication, and professional growth. The week began with an interactive session on the use […]
Problem 1 What is the value of $$\left(\left((2+1)^{-1}+1\right)^{-1}+1\right)^{-1}+1 ?$$ (A) $\frac{5}{8}$(B) $\frac{11}{7}$(C) $\frac{8}{5}$(D) $\frac{18}{11}$(E) $\frac{15}{8}$ Answer: (B) $\frac{11}{7}$ Problem 2 Liliane has $50 \%$ more soda than Jacqueline, and Alice has $25 \%$ more soda than Jacqueline. What is the relationship between the amounts of soda that Liliane and Alica have?(A) Liliane has $20 \%$ […]
Problem 1 What is the value of $(2(2(2(2(2(2+1)+1)+1)+1)+1)+1)$(A) 70(B) 97(C) 127(D) 159(E) 729 Answer: (C) 127 Problem 2 Pablo buys popsicles for his friends. The store sells single popsicles for $\$ 1$ each, 3popsicle boxes for $\$ 2$ each, and 5 -popsicle boxes for $\$ 3$. What is the greatest number of popsicles that Pablo […]
Problem 1. Let $x_1, x_2, x_3, \ldots$ be a sequence of positive integers defined as follows: $x_1=1$ and for each $n \geqslant 1$ we have $$x_{n+1}=x_n+\left\lfloor\sqrt{x_n}\right\rfloor$$ Determine all positive integers $m$ for which $x_n=m^2$ for some $n \geqslant 1$. (Here $\lfloor x\rfloor$ denotes the greatest integer less or equal to $x$ for every real number […]
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) […]