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 […]
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 […]
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) […]
Times of India Story features Cheenta students and India's growing prowess in mathematical Olympiads.
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 […]
The AMC 8 (2005) is a 40-minute, 25-question multiple-choice contest for middle-school students (Grade 8 and below).
It tests problem-solving in arithmetic, algebra, geometry, counting, and probability (not complex calculus).
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 […]
Problem 1 What is the ones digit of $$222,222-22,222-2,222-222-22-2 ?$$ (A) 0(B) 2(C) 4(D) 6(E) 8 Answer: (B) 2 Problem 2 What is the value of this expression in decimal form? $$\frac{44}{11}+\frac{110}{44}+\frac{44}{1100}$$ (A) 6.4(B) 6.504(C) 6.54(D) 6.9(E) 6.94 Answer: (C) 6.54 Problem 3 Four squares of side length $4,7,9$, and 10 units are arranged in […]
AMC 8 2004 is a classic middle-school math contest featuring 25 engaging problems in algebra, geometry, counting, probability, and logical reasoning. It tests speed, accuracy, and smart problem-solving strategies in a fun competitive format.
Problem 1Theresa's parents have agreed to buy her tickets to see her favorite band if she spends an average of 10 hours per week helping around the house for 6 weeks. For the first 5 weeks, she helps around the house for $8,11,7,12$ and 10 hours. How many hours must she work during the final […]
Get the official AMC 8 - 2003 paper with all questions. This exam from the Mathematical Association of America helps young students practice analytical thinking and prepare effectively for upcoming competitions.
The AMC 8 - 2002 paper is a middle-school level mathematics contest featuring engaging problems that test logical reasoning, number sense, and problem-solving skills. This paper is ideal for students preparing for Math Oympiads and competitive exams.
Problem 1 At Euclid High School, the mathematics teachers are Mrs. Germain, Mr. Newton, and Mrs. Young. There are 11 students in Mrs. Germain's class, 8 in Mr. Newton, and 9 in Mrs. Young's class are taking the AMC 8 this year. How many mathematics students at Euclid High School are taking the contest?(A) 26(B) […]
Problem 1 Mindy made three purchases for $\$ 1.98, \$ 5.04$ and $\$ 9.89$. What was her total, to the nearest dollar?(A) $\$ 10$(B) $\$ 15$(C) $\$ 16$(D) $\$ 17$(E) $\$ 18$ Answer: (D) $\$ 17$ Problem 2 On the AMC 8 contest Billy answers 13 questions correctly, answers 7 questions incorrectly and doesn't answer […]