Try this beautiful problem from Algebra based on Least Possible Value. Least Possible Value – AMC-10A, 2019- Problem 19 What is the least possible value of \(((x+1)(x+2)(x+3)(x+4)+2019)\) where (x) is a real number? \((2024)\)\((2018)\)\((2020)\) Key Concepts...

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME II, 2015 based on Sequence and permutations. Sequence and permutations – AIME II, 2015 Call a permutation \(a_1,a_2,….,a_n\) of the integers 1,2,…,n quasi...

Try this beautiful problem from the American Invitational Mathematics Examination, AIME 2012 based on Numbers of positive integers. Numbers of positive integers – AIME 2012 Find the number of positive integers with three not necessarily distinct digits, \(abc\),...

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Number of points and planes. Number of points and planes – AIME I, 1999 Ten points in the plane are given with no three collinear. Four distinct segments...

Try this beautiful problem from the American Invitational Mathematics Examination, AIME 2012 based on Arithmetic Sequence. Arithmetic Sequence Problem – AIME 2012 The terms of an arithmetic sequence add to \(715\). The first term of the sequence is increased by...

Try this beautiful Problem on Graph Coordinates from coordinate geometry from AMC 10A, 2015. Graph Coordinates – AMC-10A, 2015- Problem 12 Points $(\sqrt{\pi}, a)$ and $(\sqrt{\pi}, b)$ are distinct points on the graph of $y^{2}+x^{4}=2 x^{2} y+1 .$ What is...