Try this beautiful Subjective Matrix Problem appeared in ISI Entrance - 2018. You may use sequential hints to solve it.
Try this beautiful Subjective Matrix Problem appeared in ISI Entrance - 2018. You may use sequential hints to solve it.
Try this beautiful Subjective Sequence Problem appeared in ISI Entrance - 2015 problem 8. You may use sequential hints to solve it.
Try this beautiful Subjective Calculus Problem appeared in ISI Entrance 2019 Problem 2. You may use sequential hints to solve it.
Try this beautiful Objective Sequence Problem appeared in ISI Entrance 2018 Problem 8. You may use sequential hints to solve it.
This collection of problems and solutions from CMI Entrance 2022 is a work in progress. If you remember the problems, let us know in the comment section. Part A (indicate if each statement is true or false) Problem A1 Let $a_0 , a_1, a_2…..$ be an arithmetic progression such that $a_0$ and $a_1$ are positive […]
Try this beautiful Objective Limit Problem appeared in ISI Entrance - 2021. You may use sequential hints to solve it.
Try this beautiful Subjective Problem 5 from Polynomials appeared in ISI Entrance - 2021. You may use sequential hints to solve it.
This is a work in progress. Please come back for the solutions. You can also suggest your solutions in the comment section Objective Section Answer Key Problem 1 -> A Problem 7 -> C 13. Problem 19 -> B Problem 25 -> C Problem 2 -> D 8. Problem 14 -> C Problem 20 -> […]
The BStat and BMath Entrance of ISI Entrance is ‘different’ from IIT JEE or other engineering entrances. It tests creativity and ingenuity of the problem solver that requires more than mechanical application of formulae. Many of these problems are inspired from erstwhile Soviet Union math contests and other math olympiads. The entrance has two sections: […]
NMTC 2010 Primary Stage 1 Question 1 $\mathrm{n}, \mathrm{a}$ are natural numbers each greater than 1 . If $a+a+a+a+\ldots+a=2010$, and there are $n$ terms on the left hand side, then the number of ordered pairs $(a, n)$ is NMTC 2019 Primary Stage 1 Question 10 Sum of the odd numbers from 1 to 2019 both […]
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
Practice NMTC questions of Ramanujan 2025 and sharpen problem-solving skills and prepare for the National Mathematics Talent Contest.