AMC 8

masterclass

AMC

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.