Extremal Principle is used in a variety of problems in Math Olympiad. The following problem from AMC 10 is a very nice example of this idea. AMC 10 Problem 4 (2019) A box contains 28 red balls, 20 green balls, 19 yellow balls, 13 blue balls, 11 white balls, and 9...
What are we learning ?Competency in Focus: Geometry of circles and rectangles This problem from American Mathematics contest (AMC 8, 2014) will help us to learn more about geometry of circles and rectangles.First look at the knowledge graph.Next understand the...
What are we learning ?Competency in Focus: Number theory This problem from American Mathematics contest (AMC 8, 2014) is based on basic knowledge about prime numbers and simple logical reasoning and number theory .First look at the knowledge graph.Next understand the...
What are we learning ?Competency in Focus: Calculating the median of even number of observations This problem from American Mathematics contest (AMC 8, 2014) is based on maximising median of even number of observations. First look at the knowledge graph.Next...
What are we learning ?Competency in Focus:Geometry of circles. This problem from American Mathematics contest (AMC 8, 2014) is based on simple counting of semicircles.First look at the knowledge graph.Next understand the problemA straight one-mile stretch of highway,...
The following problems are collected from a variety of Math Olympiads and mathematics contests like I.S.I. and C.M.I. Entrances. They can be solved using elementary coordinate geometry and a bit of ingenuity. The equation \( x^2 y - 3xy + 2y = 3 \) represents:(A) a...
We will keep our focus on Number Theory.
Competency to be mastered: Number Theoretic Functions.
Prelude: Number theoretic functions are beautiful. They count number of divisors, number of co-prime residues, and a variety of other things for natural numbers. This week we will be mastering it, and try relevant AMC standard problems.
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