# AMC 8

masterclass

## Measure of angle | AMC 10A, 2019| Problem No 13

Try this beautiful Problem on Geometry based on Measure of angle from AMC 10 A, 2014. You may use sequential hints to solve the problem. Measure of angle - AMC-10A, 2019- Problem 13 Let $\triangle A B C$ be an isosceles triangle with $B C=A C$ and $\angle A C...

## Recursion Problem | AMC 10A, 2019| Problem No 15

Try this beautiful Problem on Algebra based on Recursion from AMC 10 A, 2019. You may use sequential hints to solve the problem. Recursion- AMC-10A, 2019- Problem 15 A sequence of numbers is defined recursively by $a_{1}=1, a_{2}=\frac{3}{7},$ and $a_{n}=\frac{a_{n-2}...

## Roots of Polynomial | AMC 10A, 2019| Problem No 24

Try this beautiful Problem on Algebra based on Roots of Polynomial from AMC 10 A, 2019. You may use sequential hints to solve the problem. Algebra- AMC-10A, 2019- Problem 24 Let $p, q,$ and $r$ be the distinct roots of the polynomial $x^{3}-22 x^{2}+80 x-67$. It is...

## Set of Fractions | AMC 10A, 2015| Problem No 15

Try this beautiful Problem on Algebra based on Set of Fractions from AMC 10 A, 2015. You may use sequential hints to solve the problem. Set of Fractions - AMC-10A, 2015- Problem 15 Consider the set of all fractions $\frac{x}{y}$, where $x$ and $y$ are relatively prime...

## Positive Integers and Quadrilateral | AMC 10A 2015 | Sum 24

Try this beautiful Problem on Geometry based on Positive Integers and Quadrilateral from AMC 10 A, 2015. You may use sequential hints to solve the problem. Positive Integers and Quadrilateral - AMC-10A, 2015- Problem 24 For some positive integers $p$, there is a...

## Rectangular Piece of Paper | AMC 10A, 2014| Problem No 22

Try this beautiful Problem on Geometry based on Rectangular Piece of Paper from AMC 10 A, 2014. You may use sequential hints to solve the problem. Rectangular Piece of Paper - AMC-10A, 2014- Problem 23 A rectangular piece of paper whose length is $\sqrt{3}$ times the...

## 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.