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February 16, 2021
Test of Mathematics Solution Subjective 144 - Finding a Function's Upper Bound

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 […]

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February 16, 2021
Test of Mathematics Solution Subjective 127 -Graphing relations

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) […]

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February 16, 2021
Test of Mathematics Solution Subjective 126 - Graphs of Absolute Value Functions

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) […]

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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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August 31, 2024
Screening Test – Ramanujan Contest NMTC at Inter Level – XI & XII Standards 2024 – 2025

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 […]

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August 31, 2024
Screening Test – Gauss Contest - NMTC Primary Level - V and VI Grades 2024-2025

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) […]

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August 31, 2024
Screening Test – Bhaskara Contest(NMTC JUNIOR LEVEL—IX and X Grades)2024-2025

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 […]

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August 31, 2024
Screening Test – Kaprekar Contest(NMTC SUB-JUNIOR LEVEL—VII and VIII Grades)2024-2025

Question 01 There is a 6-digit number in which the first and the fourth digit from the first are the same, the second and the fifth digit from the first are the same and the third and the sixth digit from the first are the same. Then the number is always a) A square numberb) […]

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August 10, 2024
Cheenta students featured in a Times Of India story on Mathematical Olympiads

Times of India Story features Cheenta students and India's growing prowess in mathematical Olympiads.

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July 20, 2024
Exploring Locus Problems in Math Olympiad Geometry

Learn about the concept of Locus problem in Geometry of Math Olympiad

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June 2, 2024
What is AMC 8 | How to prepare for AMC 8, 2023-24?

American Mathematics Competition 8 or AMC 8 is the first step toward International Math Olympiad in the United States (USAMO). Let's understand how to prepare for it.

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April 21, 2024
Singapore Math Olympiad Past Years Questions- Algebra (Senior)

Singapore Math Olympiad (Senior) Past Years Questions on the topic of Algebra.

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April 21, 2024
Singapore Math Olympiad Past Years Questions- Number Theory (Senior)

Singapore Math Olympiad (Senior) Past Years Questions on the topic of Number Theory.

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April 21, 2024
Singapore Math Olympiad Past Years Questions- Geometry (Senior)

Singapore Math Olympiad Past years Questions (Senior) on the topic of Geometry.

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