 # AMC 8

masterclass

AMC

## Extremal Principle for Counting – AMC 10

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...

## Geometry of circles and rectangles AMC 8 2014 problem 20

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...

## Number theory AMC 8 2014 Problem Number 23

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...

## Calculating the median of observations AMC 8 2014 Problem 24

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...

## Geometry of circles in AMC 8 2014 problem 25

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,...

## Beautiful problems from Coordinate Geometry

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...

## THIS WEEK

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.

## Outstanding Mathematics Personalized

#### a personal mentor for every student

Each student is unique. We are keenly aware of this fact.
Cheenta mathematics olympiad program has a unique feature: a personal one-on-one session is assigned for every student, every week.
Add to this the group sessions, round-the-clock math support and one-problem-a-day homework system.

## Competency Framework for AMC 8

Competency

###### 7 competencies

It is simple.

Master one competency every week.

Use Group session + one-on-one session + one-problem-a-day to achieve this ## Fall in love with maths

After all, we want to fall in love with mathematics. Cheenta faculty members are olympians and researchers from leading universities of the world. Take a sip from their river of passion for mathematics.