AMC 8

masterclass

AMC

Sequence and greatest integer | AIME I, 2000 | Question 11

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Sequence and greatest integer. Sequence and greatest integer - AIME I, 2000 Let S be the sum of all numbers of the form \(\frac{a}{b}\),where a and b are relatively...

Arithmetic sequence | AMC 10A, 2015 | Problem 7

Try this beautiful problem from Algebra: Arithmetic sequence from AMC 10A, 2015, Problem. Arithmetic sequence - AMC-10A, 2015- Problem 7 How many terms are in the arithmetic sequence $13$, $16$, $19$, $\dotsc$, $70$, $73$? \(20\)\(21\)\(24\)\(60\)\(61\) Key Concepts...

Series and sum | AIME I, 1999 | Question 11

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Series and sum. Series and sum - AIME I, 1999 given that \(\displaystyle\sum_{k=1}^{35}sin5k=tan\frac{m}{n}\) where angles are measured in degrees, m and n are...

Inscribed circle and perimeter | AIME I, 1999 | Question 12

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Inscribed circle and perimeter. Inscribed circle and perimeter - AIME I, 1999 The inscribed circle of triangle ABC is tangent to AB at P, and its radius is 21...

Problem based on Cylinder | AMC 10A, 2015 | Question 9

Try this beautiful problem from Mensuration: Problem based on Cylinder from AMC 10A, 2015. Cylinder - AMC-10A, 2015- Problem 9 Two right circular cylinders have the same volume. The radius of the second cylinder is $10 \%$ more than the radius of the first. What is...

Cubic Equation | AMC-10A, 2010 | Problem 21

Try this beautiful problem based on Cubic Equation from AMC 10A, 2010. Cubic Equation - AMC-10A, 2010- Problem 21 The polynomial $x^{3}-a x^{2}+b x-2010$ has three positive integer roots. What is the smallest possible value of $a ?$ \(31\)\(78\)\(43\) Key Concepts...

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.