9 Cheenta students ranked with top 100 in India and qualified for ISI and CMI Entrance. How did they achieve this? More importantly how Cheenta can help them next?
9 Cheenta students ranked with top 100 in India and qualified for ISI and CMI Entrance. How did they achieve this? More importantly how Cheenta can help them next?
About KVPY 2021 The Kishore Vaigyanik Protsahan Yojana 2021 is a National Program of Fellowship on Basic Sciences, conducted and funded by the Department of Science and Technology, Government of India. This fellowship aims to assist the students in realizing their potential at the national level and to make sure that the best scientific talent […]
Bernoulli Random Variable Story A trial is performed with probability $p$ of "success", and $X$ counts the number of successes: 1 means success (one success), 0 means failure (zero success). Definition $$X= \begin{cases}1 & \text {with probability } p \\ 0 & \text {with probability } 1-p \end{cases}$$ Example (Indicator Random Variable): Indicator Random Variable […]
Problem 1: The domain of definition of $f(x)=-\log \left(x^{2}-2 x-3\right)$ is (a) $(0, \infty)$(b) $(-\infty,-1)$(c) $(-\infty,-1) \cup(3, \infty)$(d) $(-\infty,-3) \cup(1, \infty)$ Problem 2: $A B C$ is a right-angled triangle with the right angle at B. If $A B=7$ and $B C=24$, then the length of the perpendicular from $B$ to $A C$ is (a) […]
Let's discuss a problem from CMI Entrance Exam 2019 Problem that helps us to learn how to solve complex inequality problems using Geometry. The Problem: Count the number of roots $w$ of the equation $z^{2019} − 1 = 0$ over complex numbers that satisfy $|w + 1| ≥ 2 + √2$. The Solution: Some useful […]
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 […]
Here are the problems and solutions of IOQM (Indian Olympiad Qualifier in Mathematics) 2025