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February 16, 2021
Test of Mathematics Solution Subjective 125 - Function on Natural Numbers

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) = […]

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February 16, 2021
Test of Mathematics Solution Subjective 124 - Graph sketching

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} […]

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February 16, 2021
Graphing integer value function | Tomato Subjective 117

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 […]

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February 16, 2021
Test of Mathematics Solution Subjective 116 - Angles in a Triangle

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 $ […]

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February 16, 2021
Test of Mathematics Solution Subjective 115 - Trigonometric Relation

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 $\displaystyle { \frac{\sin^4 x }{a} + \frac{\cos^4 x }{b} = \frac{1}{a+b} }$ , […]

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February 16, 2021
Test of Mathematics Solution Subjective 113 - Vertices of a Triangle

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 […]

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February 16, 2021
Test of Mathematics Solution Subjective 110 - Ratio of Diagonals of Cyclic Quadrilateral

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 […]

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February 16, 2021
Test of Mathematics Solution Subjective 107 - Perpendiculars from Center

This is a Test of Mathematics Solution Subjective 107 (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: If a, b and c […]

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February 16, 2021
Test of Mathematics Solution Subjective 90 - Graphing Inequality

This is a Test of Mathematics Solution Subjective 90 (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: : Draw the region of […]

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February 16, 2021
Test of Mathematics Solution Subjective 88 - Complex Numbers with a Property

This is a Test of Mathematics Solution Subjective 88 (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 pair of complex numbers […]

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November 14, 2024
American Math Competition (AMC) 10 A 2024 - Problem and Solution

Here are the problems and solutions of American Math Competition AMC 10A 2024, consisting of 25 questions in MCQ Format

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November 14, 2024
American Mathematics Contest 12A (AMC 12A) 2024 - Problems and Solution

Here are the problems and solutions of American Mathematics Contest (AMC 12A) of the year 2024 exclusively at Cheenta Academy

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November 10, 2024
Proving Geometric Properties in Isosceles Triangles: A Deep Dive into RMO 2024 Problem No. 3

It's so beautiful to see Euler's Line, collinearity and triangle properties coming together to solve Problem No. 3 of RMO 2024

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November 4, 2024
IIT Kanpur Mathematics Department Opens Olympiad Route for Admission

IIT Kanpur is starting admission through real Math Olympiad (IOQM, RMO, INMO). Other departments may join.

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November 4, 2024
Counting Chains with Casework in Combinatorics: A Problem from the RMO 2024

Explore Combinatorial Problem No. 6 from RMO 2024 and solve it effortlessly with guidance from the expert faculty at Cheenta Academy.

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November 3, 2024
RMO 2024 - Problems & Solutions

Regional Math Olympiad RMO 2024 problems, solutions and discussions.

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October 29, 2024
Exploring Ratios in Paper-Folding Geometry: A Challenge from the Australian Math Competition

Paper folding geometry can be so interesting in visualizing a problem and solving it through Pythagorean Theorem.

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October 24, 2024
Sharygin Geometry Olympiad 2024

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.

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October 23, 2024
Proving Cyclic Quadrilaterals and Right Angles: A Problem from the Singapore Math Olympiad

Concyclicity of Cyclic Quadrilateral and Angle chasing can help to solve complex geometry problems of Singapore Math Olympiads.

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October 23, 2024
Exploring Homothety and Similar Triangles: A Problem from the Australian Math Competition

See this interesting solution of a problem from Australian Mathematical Competition which easily makes you understand Homothety.

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