Uploaded August 2025 | Updated September 2026, 1 week ago
Imagine if Hollywood ran out of movie ideas 🎬🍿...and had to turn to math for inspiration 😀
Leave a comment to share which of these movies you are most excited to watch. Any other math theorem that could make a blockbuster movie...
=========================
Mastering AMC 10/12 book: omegalearn.org/mastering-amc1012.
The book includes video lectures for every topic on the AMC 10/12 contests, along with many useful formulas and hundreds of examples and practice problems with detailed video solutions.
Mastering AMC 8 book: omegalearn.org/mastering-amc8
The book covers the most important concepts on the AMC 8 contest, and includes video lectures for every chapter, formulas for every topic, and hundreds of examples and practice problems with detailed video solutions.
Join our Discord server to discuss problems from our books or any help with math competitions in general: bit.ly/OmegaLearnDiscord
-------------------------------------------------------------------------------------------------------------------------------------
In this video, we discussed
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To get notifications for new videos, click here to subscribe:
bit.ly/2JjEDqr
For more practice, watch the following free courses:
1. AMC 8 Fundamentals Course:
youtube.com/playlist?list=PLT9bNzqjDoMmMNsMAJ3g7C4ptRnPMMrpT
2. AMC 8 Advanced Course:
youtube.com/playlist?list=PLT9bNzqjDoMmjM-PFJktrlab4-bkWwFMP
3. Mastering AMC 8 Course:
youtube.com/playlist?list=PLT9bNzqjDoMnF2rmrySRQF_c_gUjKkVMe
4. AMC 10/12 Fundamentals Course:
youtube.com/playlist?list=PLT9bNzqjDoMkoIg9K_bs4EjdpHYlS0L51
5. Mastering AMC 10/12 Course:
youtube.com/playlist?list=PLT9bNzqjDoMlmyxKw2bp5nHsEu-Zn9dac
More resources available at: omegalearn.org
-------------------------------------------------------------------------------------------------------------------------------------
Tags:
AMC 8, AMC 8 Preparation, AMC 8 Crash Course, AMC 8 Concepts, AMC 8 Review, AMC 10, AMC 12, MATHCOUNTS, MathLeague, Number Theory, Primes, Factors, Competition math, Number of Factors, Sum of Factors, Product of Factors, Permutations, Combinations, Combinatorics, Modular Arithmetic, Recursion, Probability, Divisibility, Competition Math, Area of a Triangle, Similar Triangles, Cyclic Quadrilateral, Power of a Point, 3D Geo, Polygons, Coordinate Geometry
Imagine if Hollywood ran out of movie ideas 🎬🍿...and had to turn to math for inspiration 😀
Leave a comment to share which of these movies you are most excited to watch. Any other math theorem that could make a blockbuster movie...
=========================
Mastering AMC 10/12 book: omegalearn.org/mastering-amc1012.
The book includes video lectures for every topic on the AMC 10/12 contests, along with many useful formulas and hundreds of examples and practice problems with detailed video solutions.
Mastering AMC 8 book: omegalearn.org/mastering-amc8
The book covers the most important concepts on the AMC 8 contest, and includes video lectures for every chapter, formulas for every topic, and hundreds of examples and practice problems with detailed video solutions.
Join our Discord server to discuss problems from our books or any help with math competitions in general: bit.ly/OmegaLearnDiscord
-------------------------------------------------------------------------------------------------------------------------------------
In this video, we discussed
-------------------------------------------------------------------------------------------------------------------------------------
To get notifications for new videos, click here to subscribe:
bit.ly/2JjEDqr
For more practice, watch the following free courses:
1. AMC 8 Fundamentals Course:
youtube.com/playlist?list=PLT9bNzqjDoMmMNsMAJ3g7C4ptRnPMMrpT
2. AMC 8 Advanced Course:
youtube.com/playlist?list=PLT9bNzqjDoMmjM-PFJktrlab4-bkWwFMP
3. Mastering AMC 8 Course:
youtube.com/playlist?list=PLT9bNzqjDoMnF2rmrySRQF_c_gUjKkVMe
4. AMC 10/12 Fundamentals Course:
youtube.com/playlist?list=PLT9bNzqjDoMkoIg9K_bs4EjdpHYlS0L51
5. Mastering AMC 10/12 Course:
youtube.com/playlist?list=PLT9bNzqjDoMlmyxKw2bp5nHsEu-Zn9dac
More resources available at: omegalearn.org
-------------------------------------------------------------------------------------------------------------------------------------
Tags:
AMC 8, AMC 8 Preparation, AMC 8 Crash Course, AMC 8 Concepts, AMC 8 Review, AMC 10, AMC 12, MATHCOUNTS, MathLeague, Number Theory, Primes, Factors, Competition math, Number of Factors, Sum of Factors, Product of Factors, Permutations, Combinations, Combinatorics, Modular Arithmetic, Recursion, Probability, Divisibility, Competition Math, Area of a Triangle, Similar Triangles, Cyclic Quadrilateral, Power of a Point, 3D Geo, Polygons, Coordinate Geometry

![Ultimate AMC 12 Crash Course (AMC 10 topics + Inequalities/Logarithm/Trigonometry/Complex Numbers)
To get a copy of the AMC 12 Crash Course document shown in the video, please submit this feedback form. https://forms.gle/E5mtnG3aWWgCPYDKA
For those who have watched the AMC 10 Crash Course, the AMC 12 specific topics start at 3:12:19.
0:00 Introduction
[Chapter 1: Combinatorics 0:29 ]
0:33 1.1 Factorials
0:38 1.2 Permutations
1:48 1.3 Word rearrangements
3:34 1.4 Combinations
4:57 1.5 Subsets
5:33 1.6 Probability
5:40 1.7 Distinguishability
8:06 1.8-9 Probability of independent/dependent events
9:25 1.10 Casework
12:17 1.11 Complementary counting
13:39 1.12 Principle of Inclusion and Exclusion
15:20 1.13 Stars and bars
20:33 1.14 Combinatorial identities
21:49 1.15 Vandermondes identity
24:51 1.16 Pascals and hockey stick identity
27:03 1.17 Rectangle counting
29:18 1.18 Square counting
31:17 1.19 Path counting
32:24 1.20 Geometric probability
34:43 1.21 Expected value
39:20 1.22 Recursion
40:48 1.23 Probability States
[Chapter 2: Algebraic Manipulations 47:31 ]
47:34 2.1 Algebraic manipulations (Exponent rules)
47:38 2.2 Binomial expansions
51:04 2.3 Quadratic factorisations
51:08 2.4 Cubic factorisations
51:33 2.5 Higher power factorisations
54:23 2.6 Algebraic equations
59:08 2.7 Polynomials
1:03:42 2.8 Polynomial Root representation
1:06:35 2.9 Symmetric polynomials
1:09:29 2.10 Polynomial Manipulations
1:20:50 2.11 Arithmetic Sequences
1:21:33 2.12 Geometric sequences
1:22:39 2.13 Special sequences
1:23:15 2.14 Telescoping
1:25:28 2.15 Mean Median Mode
1:26:14 2.16 Work and rate
1:26:39 2.17 Speed distance time
[Chapter 3: Number theory 1:27:08 ]
1:27:11 3.1 Primes
1:27:38 3.2 Sum of Factors
1:28:16 3.3 Product of Factors
1:28:45 3.4 Divisibility
1:29:10 3.5 GCF and LCM
1:31:43 3.6 Modular Arithmetic
1:49:55 3.7 Algebraic Number Theory
1:49:56 3.8-11 skipped (overlapped with algebra)
1:50:17 3.12 Sophie Germains Identity
1:51:19 3.13 Diophantine Equations
1:57:28 3.14 Bases
1:58:27 3.15 Palindromes
1:58:27 3.16 Miscellaneous (Chicken McNugget, Legendre)
[Chapter 4: Geometry 2:00:32 ]
2:00:40 4.1 Angle Chasing (empty subchapter)
2:00:40 4.2 Basics of Angle Chasing
2:14:51 4.3 Area of a triangle
2:20:15 4.4 Triangle properties
2:22:30 4.5 Equilateral triangles
2:22:43 4.6 Right triangles
2:24:06 4.7 Similar Triangles (MOST IMPORTANT!)
2:30:02 4.8 Angle Bisector Theorem
2:32:18 4.9-13 Square, Rectangle, Rhombus, Parallelogram, Trapezoid
2:33:19 4.14-15 circle, circle length
2:34:27 4.16 Power of a point
2:37:37 4.17 Cyclic Quadrilaterals
2:40:18 4.18 Polygons
2:40:23 4.19 Hexagons
2:40:39 4.20 Octagons
2:41:09 4.22-23 Cube, Rectangular prism (4.21 Pentagons blank)
2:41:31 4.24 Cylinder
2:41:47 4.25 Cone
2:43:52 4.26 Sphere
2:43:58 4.27 Tetrahedron
2:44:19 4.28 Pyramid (+demo 4.29 vol. complex polyhedrons)
2:45:07 4.30 Cross sections
2:50:09 4.31 Area of complex shapes
2:50:54 4.32 Length of complex shapes
2:51:54 4.33 Line in coordinate plane
2:53:44 4.34 Circle in coordinate plane
2:53:51 Why use coordinates in geometry?
2:55:44 4.35 Shoelace Theorem to find Area
2:59:40 4.26 Picks Theorem (optional)
[Chapter 5: Advanced Topics 3:00:27 ]
3:00:27 5.1 Floor and Ceiling Functions
3:03:16 5.2 Trivial Inequality
3:04:23 5.3 AM-GM
3:07:55 5.4 Cauchy Schwarz
3:10:41 small revision - techniques for optimisation problem
3:12:18 5.5 Logarithm
3:12:43 5.6 Logarithm Formulas
3:20:08 5.7-8 Trigonometric Identities
3:20:26 5.10 Unit circle identities
3:21:14 5.11 Pythagorean identities
3:21:27 5.12 Double Angle Identities
3:21:43 5.13 Addition and Subtraction Identities
3:22:55 5.14 Half angle identities
3:23:28 5.15-16 Sum to product/product to sum identities
3:24:08 summing up trigonometry and algebra
3:27:45 5.17 Graphing to solve trigonometry problems
3:28:33 5.18 Periods and graphs of trigonometric functions
3:29:03 5.19 Area of a triangle using geometry
3:29:14 5.20 Law of Sines
3:29:41 5.21 Law of cosines
3:29:48 summary of when to use which identities
3:31:19 5.22 Complex numbers
3:43:57 5.23 Complex numbers in Polynomials
3:43:57 5.24 Complex numbers in Trigonometry
3:51:09 Ending/conclusions
If you are taking the AMC 10, then you can just check out Ultimate AMC 10 Crash Course Video:
https://youtu.be/vImrH84wwKc
Mastering AMC 10/12 book: https://www.omegalearn.org/mastering-amc1012.
The book includes video lectures for every topic on the AMC 10/12 contests, along with many useful formulas and hundreds of examples and practice problems with detailed video solutions.
Join our Discord server to discuss problems from our books or any help with math competitions in general: https://bit.ly/OmegaLearnDiscord Ultimate AMC 12 Crash Course (AMC 10 topics + Inequalities/Logarithm/Trigonometry/Complex Numbers)](https://i.ytimg.com/vi/jcZip-YtSn4/mqdefault.jpg)








