Solutions of INMO 2023 Problem 1 Let $S$ be a finite set of positive integers. Assume that there are precisely $2023$ ordered pairs $(x, y)$ in $S \times S$ so that the product $xy$ is a perfect square. Prove that one can find at least four distinct elements in $S$ so that none of their […]
Understand how Cheenta Math Circles are critical for training students for math olympiads and other advanced mathematical competitions.
Problems, solutions and discussion on IOQM 2022 (India).
Being in grade 4, Mrinalini and Sharanyaa, have developed keen interest in Mathematics, such that they work with the students of Grade 4 and 5 from SSN, Sundarbans.
How to Prepare for Chennai Mathematical Institute, CMI? Learn from Avishek Hazra who got into the CMI Entrance 2022.
How to Prepare for Chennai Mathematical Institute, CMI? Learn from John Tom who got into the CMI Entrance 2022.
How to Prepare for Chennai Mathematical Institute, CMI? Learn from Dwitimaya Sahoo who got into the CMI Entrance 2022.
How to Prepare for Chennai Mathematical Institute, CMI? Learn from Mayur N Sastry who got into the CMI Entrance 2022.
How to Prepare for Chennai Mathematical Institute, CMI? Learn from Vemparala Bhuvan who got into the CMI Entrance 2022.
Practice the official AMC 8 2021 past paper to build strong foundations in competitive Mathematics. This post provides the complete question paper PDF to help students improve problem-solving speed, accuracy, and reasoning for AMC 8 and Olympiad preparation.
Practice the official AMC 8 2020 past paper to sharpen your mathematical problem-solving skills. This post includes the complete question paper PDF for students preparing for AMC 8 and maths olympiads, helping improve accuracy, speed, and logical thinking.
The 2019 American Mathematics Contest 8 (AMC 8) was a 25-question, 40-minute multiple-choice math competition for middle school students (grades 8 and below).
Problem 1 Danica wants to arrange her model cars in rows with exactly 6 cars in each row. She now has 23 model cars. What is the smallest number of additional cars she must buy in order to be able to arrange her cars in this way?(A) 1(B) 2(C) 3(D) 4(E) 5 Answer : (A) […]
Problem 1 Susan had $\$ 50$ to spend at the carnival. She spent $\$ 12$ on food and twice as much on rides. How many dollars did she have left to spend?(A) 12(B) 14(C) 26(D) 38(E) 50 Answer : B Problem 2 The ten-letter code BEST OF LUCK represents the ten digits $0-9$, in order. […]
Problem 1 Harry and Terry are each told to calculate $8-(2+5)$. Harry gets the correct answer. Terry ignores the parentheses and calculates $8-2+5$. If Harry's answer is $H$ and Terry's answer is $T$, what is $H-T$ ?(A) -10(B) -6(C) 0(D) 6(E) 10 Answer (A) -10 Problem 2 Paul owes Paula 35 cents and has a […]
American Mathematics Competition 8 (AMC 8) – 2009 features a carefully selected set of middle-school-level problems designed to test logical thinking, arithmetic skills, and problem-solving ability. This post presents the questions with clear answers, making it a useful resource for students preparing for AMC 8 and similar mathematics competitions.
A thoughtfully curated collection of problems and solutions from the AMC 8 2023. This post offers clear explanations, logical reasoning, and step-by-step solutions to help students strengthen their foundations and prepare confidently for mathematics Olympiads.
A complete and carefully written set of problems and solutions from the American Mathematics Competition 8 (AMC 8) 2024. This post presents clear mathematical reasoning, step-by-step solutions, and multiple-choice answers, making it useful for students preparing for Olympiad-level competitions as well as teachers guiding structured problem-solving practice.
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 be […]