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# AMC Test 8, 10 & 12

Our Experienced Tutors Have Helped Hundreds Of Students Crack The AMC Tests.

### Why AMC?

- AMC success leads to prestigious internships and job opportunities.
- Companies seek problem-solving skills demonstrated through AMC participation.
- AMC showcases dedication, enhancing prospects in competitive job markets.

- AMC success opens doors to elite math competitions like AIME and USAMO.
- Opportunities to showcase problem-solving skills and compete at national and international levels
- Preparation for future academic and career endeavors in STEM fields.

- Performance in the AMC exams is highly regarded by colleges and universities worldwide.
- Achieving high scores can enhance scholarship opportunities and academic credentials.
- Recognition of mathematical excellence on a global scale.

## About AMC

The American Mathematics Competitions (AMC) were established to promote the development of problem-solving skills and interest in mathematics among students. Beginning with the first competition in 1950, AMC has grown to include multiple levels of contests, such as AMC 8, AMC 10, and AMC 12, catering to various age groups.

The AMC exams are designed by a committee of educators and mathematicians who ensure the problems reflect a high standard of mathematical reasoning. These contests encourage students to explore mathematical concepts beyond the classroom, fostering critical thinking and analytical skills. Participation in AMC helps students excel in school mathematics and prepares them for advanced mathematical challenges and competitions, such as the AIME and the USA Mathematical Olympiad (USAMO).

## What is the AMC 8?

The AMC 8 is a 25-question, 40-minute, multiple-choice examination in middle school mathematics designed to promote the development of problem-solving skills. The AMC 8 provides an opportunity for middle school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. Students apply classroom skills to unique problem-solving challenges in a low-stress and friendly environment.

The material covered on the AMC 8 includes topics from a typical middle school mathematics curriculum. Possible topics include but are not limited to counting and probability, estimation, proportional reasoning, elementary geometry including the Pythagorean Theorem, spatial visualization, everyday applications, and reading and interpreting graphs and tables. In addition, some of the later questions may involve linear or quadratic functions and equations, coordinate geometry, and other topics traditionally covered in a beginning algebra course.

The AMC 8 is also available in French, Spanish, large print, and braille for print administration only.

## AMC 8 Syllabus

- Perimeter and Area
- Patterns
- Logical Reasoning
- Operations with Fractions
- Even and Odd
- Word problem related to Percentage

- Transformations
- Consecutive Integers
- Operations with Decimals
- Sets and Venn Diagrams
- Counting Techniques
- Divisibility

- Geometric Visualization
- Factors
- Prime Numbers
- Ratio Rate and Proportion
- Least common Multiple and Greatest common factor
- Solving Equation

- Special Symbolms and Operations
- Remainder
- Sequences and Series
- Functions
- Pythagorean Theorem
- Probability

- Angles and Triangles
- Rectangles and Squares
- Similar Triangles
- Trapezoids
- Circles
- Volumes

## What is the AMC 10/12?

The AMC 10 and AMC 12 are both 25-question, 75-minute, multiple-choice examinations in high school mathematics designed to promote the development and enhancement of problem-solving skills.

The AMC 10 is for students in 10th grade and below and covers the high school curriculum up to 10th grade. Students in grade 10 or below and under 17.5 years of age on the day of the contest can take the AMC 10. The AMC 12 covers the entire high school curriculum, including trigonometry, advanced algebra, and advanced geometry, but excluding calculus. Students in grade 12 or below and under 19.5 years of age on the day of the contest can take the AMC 12.

The AMC 10/12 provides an opportunity for high school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. The AMC 10/12 is the first in a series of competitions that eventually lead all the way to the International Mathematical Olympiad (see Invitational Competitions).

The AMC 10/12 is also available in braille in print administration only and large print in online administration only.

## AMC 10 Syllabus

- Logic Reasoning
- Algebric Simplification
- Percentages
- Rations and Proportions
- Factoring Methods
- Pythagorean Theoram

- Triangle Area and Area Method
- Character of Digits
- Exponents
- Word Problem Distance and Speed
- Divisibility
- Similar Triangles

- Prime Numbers
- Quadratic Equations
- Arithmatic and geometric Sequences
- Circle Radius Cicunferance and Area
- Coordinate Geometry - Lines and circle
- Mean, Median, Mode and Range

- Counting by Permutation and Combination
- The Mass Point Method (Geometry)
- Balls and Boxes (Counting)
- Angle Bisector and Median (Geometry)
- Counting with Geometric figure

- Factors and Divisions
- Equations Solving Skills
- Solving System of Equatuions
- Sums and Products of Roots
- Solid Geometry

## AMC 12 Syllabus

- Algebra Manipulation
- Radicals
- Solving Radicals Equations
- Absolute Values
- Solving Absolute value Equations
- Vieta's Theoram and Application
- Square Numbers
- Divisibility
- Geometry Congruent Triangles
- Geometry Area and Area Method
- Eight Methods to Draw Auxiliary Line
- Trigonometry Six functions

- Cubic Identities
- Arithmetic Sequence
- How to Use Discriminant
- Completing Square
- Analytic Geometry Distance and Lines
- Functional Equations
- The squeezing Method
- Nonnegative Numbers
- Geometry Similar triangles
- Geometry Angle Bisectors and Median
- Geometry Eight More Methods To Draw Auxillary Lines
- Trigonometry Identities
- AM -GM Inequality

- Counting '
- How to solve inequality
- Polynomial
- Geometric Sequence
- Binomial Theorem
- Gaussian Function
- Geometry Parallelograms
- Logarithms
- Word problem (Distance and Speed)
- Geometry Trapezoids
- Substitution Method
- Analytical Geometry Circles and lines
- Probability

- System of Equations
- Diophantine Equations
- Geometry Circles
- Geometry Theorams of Menelaus and Cva
- Cauchy's Inequality
- Congruence
- Series and Sequences
- Recursion Method
- Trigonometry Application
- Analytical Geometry : Ellipse
- Analytical Geometry : Hyperbola
- Complex Numbers

## Registration and Exam

AMC 8

Early Bird Registration Deadline: Aug 18 - Oct 16, 2023

Regular Registration Deadline: Oct 17 - Dec 18, 2023

Late Registration Deadline: Dec 19, 2023 - Jan 11, 2024

Competition Date: January 18, 2024 at 8:00 AM ET through January 24, 2024 at 11:59 PM ET

AMC 10/12

A Early Bird Registration Deadline: Aug 18 - Sept 18, 2023

A Regular Registration Deadline: Sept 19 - Oct 26, 2023

A Late Registration Deadline: Oct 27 - Nov 3, 2023

A Competition Date: November 8, 2023 from 8:00 am ET to 11:59 pm ET

B Early Bird Registration Deadline: Aug 18 - Sept 25, 2023

B Regular Registration Deadline: Sept 26 - Nov 2, 2023

B Late Registration Deadline: Nov 3 - Nov 9, 2023

B Competition Date: November 14, 2023 from 8:00 am ET to 11:59 pm ET

# So, How Much Does AP Guru's AMC Program Cost?

### Get Your Queries Answered Here

- Do I have to pay for trial class?expand_more
No, the trial class is free. No commitment or credit card required.

- Can I get more than one trial class?expand_more
Unfortunately, we are only able to provide one trial class. We are generally really busy and have packed teaching schedules; therefore, it will not be possible to set up multiple trial classes.

- Who are AP Guru tutors?expand_more
We have hand-selected a small group of highly qualified tutors who have mastery over the AMC sections they teach. Our tutors have significant previous teaching experience and be very gifted, dynamic teachers.

- Will you be able to work with students in North America?expand_more
Yes, we tutor students from all the timezones in the world. In fact, students from USA and Canada make up one of the largest cohort of our students.

- Can I pay in installments?expand_more
Yes, just let us know and we can set up a payment plan.

- How can AP Guru's AMC programs help me improve my score?expand_more
AP Guru's AMC programs are meticulously designed by expert tutors to provide comprehensive content review, personalized study plans, and realistic practice tests. Our approach helps students identify their weaknesses and build upon their strengths to achieve higher scores.

- If I have doubts or questions, is there someone I can talk to?expand_more
Yes! We have a first class support team who can answer your questions and doubts. You just have to post the message on the AMC WhatsApp group we create or email it to us at info@apguru.com.