This is a Test of Mathematics Solution Subjective 144 (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 $ f(x)$ is […]
This is a Test of Mathematics Solution Subjective 127 (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 Find all (x, y) such that sin x + sin y = sin (x+y) […]
This is a Test of Mathematics Solution Subjective 126 (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 Sketch, on plain paper, the regions represented, on the plane by the following: (i) […]
This is a Test of Mathematics Solution Subjective 125 (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 Let $ f: \mathcal{N} to \mathcal{N} $ be the function defined by f(0) = […]
This is a Test of Mathematics Solution Subjective 124 (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 Sketch on plain paper, the graph of $ y = \frac {x^2 + 1} […]
This is a subjective problem from TOMATO based on Graphing integer value function. Problem: Graphing integer value function Let [x] denote the largest integer (positive, negative or zero) less than or equal to x. Let $y= f(x) = [x] + \sqrt{x - [x]} ,s=2 $ be defined for all real numbers x. (i) Sketch on […]
This is a Test of Mathematics Solution Subjective 116 (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 If A, B, C are the angles of a triangle, then show that $ […]
This is a Test of Mathematics Solution Subjective 115 (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 If $\displaystyle { \frac{\sin^4 x }{a} + \frac{\cos^4 x }{b} = \frac{1}{a+b} }$ , […]
This is a Test of Mathematics Solution Subjective 113 (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: Find the vertices of the two right angles triangles, each having area 18 and […]
This is a Test of Mathematics Solution Subjective 110 (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 ABCD be a […]
Explore Combinatorial Problem No. 6 from RMO 2024 and solve it effortlessly with guidance from the expert faculty at Cheenta Academy.
Regional Math Olympiad RMO 2024 problems, solutions and discussions.
Cheenta hosted the final round of prestigious Sharygin Geometry Olympiad in India conducted by organisers from esteemed institutions in Russia.. The olympiad is intended for high-school students of four eldest grades. This post contains the problems from this contest.
Concyclicity of Cyclic Quadrilateral and Angle chasing can help to solve complex geometry problems of Singapore Math Olympiads.
Solve a beautiful geometry problem from RMO 2005 with the help of Apollonius Theorem and Cosine Rule along with Midpoint Theorem.
39 Cheenta students qualified for IOQM 2024 (RMO cut-off). About 130 kids students appeared in the contest from Cheenta this year making the success rate about 30%. This remarkable achievement is the result of months of dedicated effort. Most of these students regularly participated in Here are some of the qualified students who additionally qualified […]
Problems and Solutions from IOQM 2024, the first level of Math Olympiad in India.
PART - A Problem 1 Let $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}=\frac{m}{n}$, where $m$ and $n$ are positive integers with no common divisors other than 1 . The highest power of 7 that divides $m$ is A. 0B. 1C. 2D. 3 Problem 2 Five spherical balls of diameter 10 cm each fit inside a closed cylindrical tin with internal diameter […]
Problem 1 Saket wanted to add two 2-digit numbers. But he multiplied them and got 629 as the answer. The sum of the two 2-digit numbers is a)56b) 52c) 54d) 46 Problem 2 The sum of three integers is 1 . Their product is 36 . The greatest of these three numbers is a) 12b) […]
Question 01 If $x^2+x=1$, then the value of $\frac{x^7+34}{x+2}$ is equal to a) 7b) 1c) 13d) 17 Question 02 The angle between the hour hand and the minute hand of a clock at the time $9: 38 \mathrm{pm}$ is a) $60^{\circ}$b) $61^{\circ}$c) $59^{\circ}$d) $62^{\circ}$ Question 03 In the adjoining figure, $A O B$ is a […]
In Week 9, Sundarban teachers continued practicing English Tense and sentence structure, reviewed student exam copies, and learned how to use email for professional communication. The session blended grammar training with practical assessment and digital literacy.
In Week 8 of the Sundarban Faculty Training, teachers learned to guide students in writing paragraphs on “Amar Sundarban” in Bengali and English. The session also introduced the basics of English Tense and encouraged the balanced use of digital tools to create meaningful, engaging classroom lessons.
In Week 7 of the Sundarban Faculty Training, teachers strengthened their English grammar and revision skills through practical lessons based on ‘Amar Boi.’ They also revisited ChatGPT to create lesson ideas and discussed the responsible use of AI, blending traditional teaching with digital learning for more engaging classrooms.
Problem 1 What value of $\boldsymbol{x}$ satisfies $$x-\frac{3}{4}=\frac{5}{12}-\frac{1}{3} ?$$ (A) $-\frac{2}{3}$(B) $\frac{7}{36}$(C) $\frac{7}{12}$(D) $\frac{2}{3}$(E) $\frac{5}{6}$ Answer: (E) $\frac{5}{6}$ Problem 2 The numbers $3,5,7, a$ and $b$ have an average (arithmetic mean) of 15 . What is the average of $a$ and $b$ ?(A) 0(B) 15(C) 30(D) 45(E) 60 Answer: (C) 30 Problem 3 Assuming $a […]
Problem 1 (A) 0(B) 1(C) 2(D) 3(E) 4 Answer: (C) 2 Problem 2What is the hundreds digit of $(20!-15!)$ ?(A) 0(B) 1(C) 2(D) 4(E) 5 Answer: (A) 0 Problem 3Ana and Bonita were born on the same date in different years, $n$ years apart. Last year Ana was 5 times as old as Bonita. This […]
Problem 1What is the value of $9901 \cdot 101-99 \cdot 10101$ ?(A) 2(B) 20(C) 200(D) 202(E) 2020 Answer: (A) 2 Problem 2A model used to estimate the time it will take to hike to the top of the mountain on a trail is of the form $T=a L+b G$, where $a$ and $b$ are constants, […]
Problem 1 What is the value of $\frac{(2112-2021)^{2}}{169}$ ?(A) 7(B) 21(C) 49(D) 64(E) 91 Answer: (C) 49 Problem 2 Menkara 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 […]
Explore the NOAI 2024 China – Basketball Shooting task. You’ll work with historical shooting data and build a small PyTorch MLP (using only court position features) to predict whether a shot is made, following strict layer and activation constraints.
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 […]