# AMC 8

masterclass

## Squares and Triangles | AIME I, 2008 | Question 2

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Squares and Triangles. Squares, triangles and Trapezium - AIME I, 2008 Square AIME has sides of length 10 units, isosceles triangle GEM has base EM, and the area...

## Percentage Problem | AIME I, 2008 | Question 1

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Percentage. Percentage Problem - AIME I, 2008 Of the students attending a party, 60% of the students are girls, and 40% of the students like to dance. After...

## Circles and Triangles | AIME I, 2012 | Question 13

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Circles and triangles. Circles and triangles - AIME I, 2012 Three concentric circles have radii 3,4 and 5. An equilateral triangle with one vertex on each circle...

## Complex Numbers and Triangles | AIME I, 2012 | Question 14

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on complex numbers and triangles. Complex numbers and triangles - AIME I, 2012 Complex numbers a,b and c are zeros of a polynomial P(z)=\(z^{3}+qz+r\) and...

## Angles in a circle | PRMO-2018 | Problem 80

Try this beautiful problem from PRMO, 2018 based on Angles in a circle. Angles in a circle | PRMO | Problem 80 Let AB be a chord of circle with centre O. Let C be a point on the circle such that \(\angle ABC\) = \(30^{\circ}\) and O lies inside the triangle ABC. Let D...

## Problem on Semicircle | AMC 8, 2013 | Problem 20

Try this beautiful problem from Geometry based on Semicircle. Area of the Semicircle - AMC 8, 2013 - Problem 20 A $1\times 2$ rectangle is inscribed in a semicircle with the longer side on the diameter. What is the area of the semicircle? \( \frac{\pi}{2}\)\(\pi\) \(...

## 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**.

Join us for a truly engaging mathematics experience.

## Competency Framework for AMC 8

Competency

###### Number Theory

###### 21 competencies

###### Geometry

###### 12 competencies

###### Algebra

###### 16 competencies

###### Combinatorics

###### 7 competencies

It is simple.

Master one competency every week.

Use** Group session + one-on-one session + one-problem-a-day** to achieve this

### Cheenta is a home for outstanding mathematics since 2010

## 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.