Art of problem solving amc 8 2020 AMC 8 Problems 2020 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 2025 AMC 8 Problems Problem 1 The eight-pointed star, shown in the figure below, is a popular quilting pattern. All problems should be credited to the MAA AMC (for example, “2017 AMC 12 B, Problem #21”). 2017 AMC 8 Problems 2017 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Practice problems from premier middle school math contests such as MATHCOUNTS and the American Mathematics Competitions 8 (AMC 8). Points and lie on the largest circle. In the barycentric coordinate system, the area formula is where is a random triangle and is the reference triangle. Otherwise, the test will be held as usual. Each of them has choices for what they wear on day of the camping trip. The test was held from January 18th, 2024 to January 24th, 2024. ) 3 Solution 2 4 Solution 3 5 Solution 4 6 Solution 5 7 Solution 6 (Shoelace Theorem) 8 Solution 7 (Quick) 9 Video Solution (A Clever Explanation You’ll Get Instantly) 10 Video Solution 1 by Math-X (First understand the problem!!!) 2014 AMC 8 Problems Note: Questions 1, 3, and 13 are from the Ivy League source to remedy KCSVX's intentional deletion of text. Next, we can try 5. Art of Problem Solving is an ACS WASC Accredited School aops programs AoPS Online Beast Academy ONLINE AMC 8 PREP WITH AOPS Top scorers around the country use AoPS. We let . Who Should Take? Students just getting started with middle-school math contests should consider our MATHCOUNTS/AMC 8 Basics course. 2018 AMC 8 Problems 2018 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 2026 AMC 8 Problems 2026 AMC 8 problems and solutions. When she first started, she completed 10 laps in 25 minutes. Join training courses for beginners and advanced students. 2022 AMC 8 Problems/Problem 3 Contents [hide] 1 Problem 2 Solution 1 3 Solution 2 4 Video Solution (A Creative Way To Think) 5 Video Solution 1 by Math-X (First understand the problem!!!) 6 Video Solution 2 (CREATIVE THINKING!!!) 7 Video Solution 3 8 Video Solution 4 9 Video Solution 5 10 Video Solution 6 11 Video Solution 7 by Dr. Art of Problem Solving holds many free Math Jams, some of which include problems and concepts at the level tested by the AMC 8. 2023 AMC 8 Problems 2023 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 2020 AMC 8 Problems/Problem 8 Contents [hide] 1 Problem 2 Solution 1 3 Solution 2 4 Video Solution by NiuniuMaths (Easy to understand!) 5 Video Solution by Math-X (First understand the problem!!!) 6 Video Solution (🚀Very Fast🚀) 7 Video Solution by North America Math Contest Go Go Go 8 Video Solution by WhyMath 9 Video Solution Teachers are encouraged to share copies of the problem booklet and oficial solutions with their students for educational purposes. The test was held between January 17, 2023 and January 23, 2023. Join an active community of math enthusiasts discussing contests, problems, and solutions with students worldwide on the Art of Problem Solving forums. 1999 AMC 8 problems and solutions. Note that there is no lower grade limit, so even elementary students can take the competition. 2026 AMC 8 2022 AMC 8 Problems Problem 1 The Math Team designed a logo shaped like a multiplication symbol, shown below on a grid of 1-inch squares. 2022 AMC 12A Problems 2022 AMC 12A Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 1 Mindy made three purchases for , , and . Here's a list of top resources, including books, courses, websites 2002 AMC 8 2002 AMC 8 problems and solutions. The first link contains the full set of test problems. We'll use the live video teaching technique we've pioneered to help middle school students learn to love challenging math. The 2026 AMC 8 is not held yet. Tackle geometry and logic problems and boost your test prep with expert guidance. For instance, a king on the center square of a 3 x 3 grid attacks all 8 other squares, as shown below. Now, we have something with a units digit of subtracted from , and so the units digit of this expression is . David 10 See Also ONLINE AMC 8 PREP WITH AOPS Top scorers around the country use AoPS. TRAIN FOR THE AMC 8 WITH AOPS Top scorers around the country use AoPS. If you cannot find these instructions in your inbox, you can request a new email below. Now she can finish 12 laps in 24 2017 AMC 8 Problems/Problem 1 Contents 1 Problem 2 Solution 1 3 Solution 2 4 Video Solution (CREATIVE THINKING!!!) 5 Video Solution 6 See Also 8 Video Solution 1 by OmegaLearn (Using Similar Triangles) 9 Video Solution 2 by SpreadTheMathLove (Using Area-Similarity Relaitionship) 10 Video Solution 3 by Magic Square (Using Similarity and Special Value) (best solution) 11 Video Solution by Interstigation 12 Video Solution by WhyMath 13 Video Solution by harungurcan 14 Video Solution by 2022 AMC 8 Problems/Problem 1 Contents [hide] 1 Problem 2 Solution 1 (A quick solution. 1 Solution 1 2. The result follows. Art of Problem Solving is an ACS WASC Accredited School During AMC testing, the AoPS Wiki is in read-only mode and no edits can be made. Jan 29, 2025 · The Art of Problem Solving books are the most popular introduction to the material included in the AMC 8 and other math competitions, and their website also serves as the biggest forum for students interested in math competitions. 2025 AMC 8 2025 AMC 8 problems and solutions. Nov 18, 2024 · The AMC 8 is administered from January 22, 2025 until January 28, 2025. David 12 See 2023 AMC 8 Problems/Problem 1 Contents [hide] 1 Problem 2 Solution 1 3 Solution 2 4 Video Solution by InterestingMathProblems 5 Video Solution (A Clever Explanation You’ll Get Instantly) 6 Video Solution (How to Creatively Think!!!) 7 Video Solution by Magic Square 8 Video Solution by SpreadTheMathLove 9 Video Solution by Interstigation 2022 AMC 8 Problems/Problem 2 Contents [hide] 1 Problem 2 Solution 1 3 Video Solution (A Clever Explanation You’ll Get Instantly) 4 Video Solution 1 by Math-X (First understand the problem!!!) 5 Video Solution 2 (HOW TO THINK CREATIVELY!!!) 6 Video Solution 3 7 Video Solution 4 8 Video Solution 5 9 Video Solution 6 10 Video Solution 7 by Dr Art of Problem Solving is an ACS WASC Accredited School aops programs AoPS Online Beast Academy Problem What is the unit digit of: Solution 1 We can rewrite the expression as . Note: Please do not learn Barycentric Coordinates for the AMC 8. What is the area of the visible gray region in square This problem can be solved using advanced combinatorial techniques, such as generating functions or dynamic programming, but based on known results for such problems, the number of subsets where the sum is divisible by 5 is exactly one-fifth of the total non-empty subsets. What is the area of the logo in square inches? 2024 AMC 8 2024 AMC 8 problems and solutions. If COVID-19 persists, the 2021 AMC 8 will be held online between November 16, 2021 and November 22, 2021. They decide to split their earnings equally among themselves. We get that , and solving gets . We've sent a confirmation to the email associated with your account: Check your email for a link to confirm your email. 2002 AMC 8 Problems 2002 AMC 8 Answer Key 2002 AMC 8 Problems/Problem 1 2002 AMC 8 Problems/Problem 2 2002 AMC 8 Problems/Problem 3 2002 AMC 8 Problems/Problem 4 2002 AMC 8 Problems The AMC 8 Special Seminar A is a weekend seminar designed to help middle school students prepare for the AMC 8 through practice problems and tests. You can find problems and solutions from the math contests run by the American Mathematics Competitions on the following pages: AMC 8 / AJHSME Problems and Solutions AMC 10 Problems and Solutions AMC 12 Problems and Solutions AHSME Problems and Solutions AIME Problems and Solutions USAMO Problems and Solutions USAJMO Problems and Solutions Notes The AMC 8 was previously known as the AJHSME Problem 17 A chess king is said to attack all squares one step away from it (basically any square right next to it in any direction), horizontally, vertically, or diagonally. Review of the AMC and AIME competitions. 2022 AMC 8 Problems 2022 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 This is a channel initially focusing on all Competition Math such as American Mathematics Competitions, AIME, Math Counts, Math Kangaroo, content from Art of Problem Solving and various other Mathematical Topics. View our schedule of upcoming practice events. 2005 AMC 8 2005 AMC 8 problems and solutions. The publication, reproduction, or communication of the competition’s problems or solutions for revenue-generating purposes requires written permission from the Problem Three concentric circles centered at have radii of , , and . 2018 AMC 8 2018 AMC 8 problems and solutions. ET. 1999 AMC 8 Problems 1999 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 2008 AMC 8 2008 AMC 8 problems and solutions. 2012 AMC 8 Problems/Problem 11 Contents [hide] 1 Problem 2 Solution 1: Guess & Check 3 Solution 2: Algebra 4 Solution 3: Balance scale 5 Solution 4: Must be an integer (Super fast) 6 Video Solution by OmegaLearn 7 Video Solution 8 See Also 2018 AMC 8 Problems/Problem 10 Contents [hide] 1 Problem 2 Solution 3 Video Solution (CRITICAL THINKING!!!) 4 Video Solution 5 Video Solution 6 See Also ONLINE AMC 8 PREP WITH AOPS Top scorers around the country use AoPS. The distances in kilometers along each route are marked. Nov 3, 2025 · Sharpen your skills with AMC 8 practice questions and solutions. No edits can be made. The test was held On Tuesday November 18, 2008. Aops Wiki Problem Generator This problem generator generates random problems from the aops wiki 1 at a time or in groups. The second link contains the answer key. Designed by the AoPS curriculum team, the problems in our practice contests are unique and not drawn from past competitions. 2002 AMC 8 Problems 2002 AMC 8 Answer Key 2002 AMC 8 Problems/Problem 1 2002 AMC 8 Problems/Problem 2 2002 AMC 8 Problems/Problem 3 2002 AMC 8 Problems/Problem 4 2002 AMC 8 Problems 1 Problem 2 Solution 1 3 Solution 2 4 Solution 3 (Brute Force) 5 Video by MathTalks 😉 6 Video Solution by Central Valley Math Circle (Goes through the full thought process) 7 Video Solution by Math-X (First fully understand the problem!!!) 8 Video Solution (A Clever Explanation You’ll Get Instantly) 9 Video Solution 1 (easy to digest) by Power Solve 10 Video Solution by Math-X (First Since 1993, Art of Problem Solving has helped train the next generation of intellectual leaders. It is open to anyone in grade 8 or lower. Art of Problem Solving is an ACS WASC Accredited School aops programs AoPS Online Beast Academy 2022 AMC 8 Problems/Problem 18 Contents [hide] 1 Problem 2 Solution 1 3 Solution 2 4 Video Solution (A Clever Explanation You’ll Get Instantly) 5 Video Solution by Pi Academy (🚀Fast and EZ!🚀) 6 Video Solution 7 Video Solution 8 Video Solution 9 See Also 2022 AMC 12A problems and solutions. 2 Solution 2 3 Video Solution 4 Video Solution 5 Video Solution by OmegaLearn 6 See Also ONLINE AMC 8 PREP WITH AOPS Top scorers around the country use AoPS. The region between the two smaller circles is shaded, as is the portion of the region between the two larger circles bounded by central angles , as shown in the figure below. Similar to the Mock AMC, it serves as practice for the real AMC. The answer is therefore . In total, how much will the friend who earned give to the others? Solution The friends earn in total. It is typically posted in the Classroom Math Forum. This post examines the topic distribution of the 2025 competition, covering geometry, word problems, number theory, combinatorics, and probability. In April 2021, MAA announced they would be moving the AMC 10/12 to November, before the new year, and AMC 8 to January, after the new year; however, the AIME would remain after the new year. May 31, 2025 · Analyzing the AMC 8 2025 exam is a vital first step. Additional readings to understand the in-school and AMC style problems: ONLINE AMC 8 PREP WITH AOPS Top scorers around the country use AoPS. 2006 AMC 8 Problems 2006 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 During AMC testing, the AoPS Wiki is in read-only mode. For example, the number was represented by the STUDYING FOR THE AMC 8 OR MATHCOUNTS? Get started on your preparation for MATHCOUNTS and the AMC 8 with our MATHCOUNTS/AMC 8 Basics online course, and then level up to mastery in our MATHCOUNTS/AMC 8 Advanced online course. THE TEST WAS HELD ONLINE BETWEEN NOVEMBER 10, 2020 AND NOVEMBER 16, 2020. If you are interested in practicing with old AMC 8 tests, you can find all the tests at the Art of Problem Solving website. The Mock AMC 8, introduced in 2006 by jclarkemathL314159, is a competition designed to imitate the AMC 8. 1 Proof of This Claim 3 Solution 2 (The simplified version of Solution 1) 4 Video Solution 1 by Math-X (First fully understand the problem!!!) 5 Video Solution by Central Valley Math Circle (Goes through full thought process) Problem The one-way routes connecting towns and are shown in the figure below (not drawn to scale). The AoPS Contest Platform is an easy-to-use interface students can use on their web browser at home. How many different arrangements of what they wear are possible on day of the Problem 16 Each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 is used only once to make two five-digit numbers so that they have the largest possible sum. 2010 AMC 8 Problems 2010 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 2015 AMC 8 Problems/Problem 13 Contents [hide] 1 Problem 2 Solutions 2. Search 2024 AMC 8 Problems/Problem 23 Contents [hide] 1 Problem 2 Solution 1 2. The Art of Problem Solving hosts this AoPS Wiki as well as many other online resources for students interested in mathematics competitions. To use this formula, we scale the figure down by ; this will give the height a length of . ~DrDominic Solution 4 Since the problem is giving us the options, we can try all of them. Which of the following could be one of the numbers? Solution Art of Problem Solving Resources 2005 AMC 8 TRAIN FOR THE AMC 8 WITH AOPS Problem Four friends do yardwork for their neighbors over the weekend, earning and respectively. 2024 AMC 8 Problems 2024 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem Math texts, online classes, and more for students in grades 5-12. We note that the units digit of is because all the units digits of the five numbers are and , which has a units digit of . We see that 4 cannot work because 15 - 4 = 11, and 4 * 4 = 16. Then . Since they decided to split their earnings equally, it follows that each person will Jun 6, 2020 · The Art of Problem Solving (AoPS) is hosting the 2020-2021 MAA AMC Competitions on our virtual contest platform. Find free online courses, videos, tests, and books to prepare for math contests like AMC 8, MATHCOUNTS, and more. 2015 AMC 8 Problems/Problem 18 Contents [hide] 1 Problem 2 Solutions 2. You can find problems and solutions from the math contests run by the American Mathematics Competitions on the following pages: AMC 8 / AJHSME Problems and Solutions AMC 10 Problems and Solutions AMC 12 Problems and Solutions AHSME Problems and Solutions AIME Problems and Solutions USAMO Problems and Solutions USAJMO Problems and Solutions Notes The AMC 8 was previously known as the AJHSME TRAIN FOR THE AMC 8 WITH AOPS Top scorers around the country use AoPS. The AMC 8 Special Seminar A is a weekend seminar designed to help middle school students prepare for the AMC 8 through practice problems and tests. Look around the AoPS Wiki. Solution 2 So our answer is . What is the measure of in degrees? 2010 AMC 8 2010 AMC 8 problems and solutions. How many inch by inch rectangular bricks can he fit in his yard? Solution Problem 3 Amy, Bob, Cassie, and Darren are on a camping trip. 2020 AMC 8 Problems 2020 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Top scorers around the country use AoPS. What was her total, to the nearest dollar? Solution Problem 2 On the AMC 8 contest Billy answers 13 questions correctly, answers 7 questions incorrectly and doesn't answer the last 5. Introductions to new topics in math and other areas of study. 2018 AMC 8 Problems/Problem 2 Contents [hide] 1 Problem 2 Solution 3 Video Solution (CRITICAL THINKING!!!) 4 Video Solution 5 Video Solution by OmegaLearn 6 See also Math Jams are free online discussions hosted by Art of Problem Solving for a variety of purposes, including: Informational sessions about Art of Problem Solving classes. There was no AMC 8 conducted in the calendar year of 2021, but instead conducted in January 2022. 2007 AMC 8 2007 AMC 8 problems and solutions. More information about this contest on the MAA website. AMC 8 is a Math Competition organized by Mathematical Association of America. The test was held on Thursday, November 10, 2022. Traveling along these routes, what is the shortest distance from A to Z in kilometers? ONLINE AMC 8 PREP WITH AOPS Top scorers around the country use AoPS. Jun 26, 2025 · AMC 8 problems are often multi-step and abstract, requiring you to extract key information, translate word problems into equations, and adapt known formulas to new problem types. Suppose a white king and a black king are placed on different squares of 3 x 3 grid so that they do not attack each 2017 AMC 8 2017 AMC 8 problems and solutions. 2019 AMC 8 Problems 2019 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Solution 3 We can use a result from the Art of Problem Solving Introduction to Algebra book Sidenote: for a semicircle with diameter , such that the part is on one side and the part is on the other side, the height from the end of the side (or the start of the side) is . Activity sheets for the videos can be found on the MATHCOUNTS site. What is the height in feet of its replica to the nearest whole number? Solution Problem 2 What is the value of the product Solution Problem 3 ONLINE AMC 8 PREP WITH AOPS Top scorers around the country use AoPS. Math texts, online classes, and more for students in grades 5-12. Read more at : 2024-25-AMC-8-Teachers-Manual. Solving, . m. Suppose the shaded and unshaded regions are equal in area. r. . 2023 AMC 8 2023 AMC 8 problems and solutions. 2 Solution 2 2. Explore the schedule of online math classes for middle and high school students at Art of Problem Solving. The AMC (American Mathematics Competitions) exams are renowned for their challenging math problems that require deep mathematical insight and problem-solving skills. 16 - 15 is not 11, so this option does not work. 2025 AMC 8 Problems/Problem 14 Contents [hide] 1 Problem 2 Solution 1 3 Solution 2 4 Solution 3 5 Solution 4 6 Video Solution (A Clever Explanation You’ll Get Instantly) 7 Video Solution 1 by SpreadTheMathLove 8 Video Solution 2 by Thinking Feet 9 Video Solution (Quick, fast, easy!) 10 See Also 2023 AMC 8 Problems/Problem 1 Contents [hide] 1 Problem 2 Solution 1 3 Solution 2 4 Video Solution by InterestingMathProblems 5 Video Solution (A Clever Explanation You’ll Get Instantly) 6 Video Solution (How to Creatively Think!!!) 7 Video Solution by Magic Square 8 Video Solution by SpreadTheMathLove 9 Video Solution by Interstigation 2006 AMC 8 2006 AMC 8 problems and solutions. The height of the United States Capitol is 289 feet. Due to the MAA changing the schedule of its competition in the 2021-2022 school year, the AMC 8 is now conducted in January. 2018 AMC 8 Problems 2018 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Art of Problem Solving is an ACS WASC Accredited School aops programs AoPS Online Beast Academy 2024 AMC 8 Problems/Problem 13 Contents 1 Problem 2 Solution 1 3 Solution 2 4 Solution 3 5 Solution 4 6 Solution 5 (Complementary Counting) 7 Video by MathTalks😉 8 Video Solution 1 9 Video Solution 2 by Central Valley Math Circle (Goes through the full thought process) 10 Video Solution 3 (A Clever Explanation You’ll Get Instantly) AoPS holds practice contests to help you prepare for premiere contests like MATHCOUNTS and the MAA American Mathematics Competition (AMC). The differences MUST be equal because the numbers have to be evenly spaced on the number line. Problem 1 What is the value of ? Solution Problem 2 Aaron has a rectangular yard measuring feet by feet. During AMC testing, the AoPS Wiki is in read-only mode and no edits can be made. 2000 AMC 8 2000 AMC 8 problems and solutions. 2005 AMC 8 Problems 2005 AMC 8 Answer Key 2005 AMC 8 Problems/Problem 1 2005 AMC 8 Problems/Problem 2 2005 AMC 8 Problems/Problem 3 2005 AMC 8 Problems/Problem 4 2005 AMC 8 Problems 8 Video Solution by Central Valley Math Circle (Goes through the full thought process) 9 Video Solution by Math-X (First fully understand the problem!!!) 10 Video Solution (A Clever Explanation You’ll Get Instantly) 11 Video Solution 1 (easy to digest) by Power Solve 12 Video Solution by NiuniuMaths (Easy to understand!) 2024 AMC 8 Problems/Problem 19 Contents [hide] 1 Problem 2 Solution 1 3 Solution 2 4 Solution 3 5 Solution 4 6 Video Solution by Central Valley Math Circle (Goes through full thought process) 7 Video Solution 1 by Math-X (First fully understand the problem!!!) 8 Video Solution (A Clever Explanation You’ll Get Instantly) 2025 AMC 8 Problems/Problem 1 Contents [hide] 1 Problem 2 Solution 1 3 Solution 2 4 Solution 3 5 Solution 4 6 Solution 5 7 Solution 6 8 Video Solution 1 (Detailed Explanation) 🚀⚡📊 9 Video Solution 2 Super Easy to understand and efficient! 10 Video Solution 3 by SpreadTheMathLove 11 Video Solution 4 12 Video Solution 5 by Daily Dose of Math Problem 1 What is the ones digit of Solution Problem 2 What is the value of this expression in decimal form? Solution Problem 3 Four squares of side length and are arranged in increasing size order so that their left edges and bottom edges align. What percent of the entire 4 × 4 grid is covered by the star? Solution Problem 2 The table below shows the Ancient Egyptian hieroglyphs that were used to represent different numbers. 2008 AMC 8 Problems 2008 AMC 8 Answer Key 2008 AMC 8 Problems/Problem 1 2008 AMC 8 Problems/Problem 2 2008 AMC 8 Problems/Problem 3 AMC tests mathematical problem solving with arithmetic, algebra, counting, geometry, number theory, and probability, with far more cross-over between the subject areas than in nearly all classrooms. 2025 AMC 8 Problems 2025 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 2018 AMC 8 Problems Problem 1 An amusement park has a collection of scale models, with ratio , of buildings and other sights from around the country. THE TEST WAS HELD BETWEEN JANUARY 18, 2022 AND JANUARY 24, 2022. I recommend the AoPS books be studied in the following order: Prealgebra by Rusczyk, Patrick, and Boppana, AoPS, 2012. To excel in AMC competitions like the AMC 10/12, AIME, and USA (J)MO, it's essential to have access to quality resources that can help you prepare effectively. 2007 AMC 8 Problems 2007 AMC 8 Answer Key 2007 AMC 8 Problems/Problem 1 2007 AMC 8 Problems/Problem 2 2007 AMC 8 Problems/Problem 3 2007 AMC 8 Problems/Problem 4 2007 AMC 8 Problems 2008 AMC 8 2008 AMC 8 problems and solutions. Welcome to the AoPS Wiki! The AoPS Wiki project is administered by the Art of Problem Solving for supporting educational content useful to avid math students. Then, we have , so the answer is . What is his score? Solution Problem 3 Elisa swims laps in the pool. Students with more consistent success in these contests (in particular, students who score 15+ on the AMC 8 or 25+ on Chapter-level MATHCOUNTS competitions) should consider our MATHCOUNTS/AMC 8 Advanced course. Practice solving these types of problems to build flexibility and deeper conceptual understanding. The squares alternate in color white-gray-white-gray, respectively, as shown in the figure. t. The test will be held in January 22 to 28, 2026. The rest contain each individual problem and its solution. 2016 AMC 8 Problems/Problem 15 Contents [hide] 1 Problem 2 Solution 1 3 Solution 2 (variant of Solution 1) 4 Solution 3 (Lifting the exponent) 5 Solution 4 (Brute Force) 6 Solution 5 7 Video Solution 1 by OmegaLearn 8 Video Solution 9 Video Solution 2 (CREATIVE THINKING) 10 See Also We also regularly produce MATHCOUNTS Minis featuring problems from State-level MATHCOUNTS competitions, as well as videos for select AMC 10, AMC 12, and AIME problems. Using this, we find that Let so that . The Education Program for Gifted Youth offers some contest preparation classes. Now, scaling back up by , the 2003 AMC 8 - AoPS Wiki Resources Aops Wiki 2003 AMC 8 TRAIN FOR THE AMC 8 WITH AOPS To solve the problem, we can accordingly construct the following diagram, where each number in a square is calculated as the sum of the numbers on the white squares immediately beneath that square (and thus will represent the number of ways to remove from to that square, as already stated). 2019 AMC 8 2019 AMC 8 problems and solutions. What is the area of the logo in square inches? Solution Problem 2 Consider these two operations: What is the value of Solution Problem 3 When three positive integers , , and are multiplied together, their ONLINE AMC 8 PREP WITH AOPS Top scorers around the country use AoPS. 2009 AMC 8 Problems 2009 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 . Hundreds of thousands of our students have gone on to attend prestigious universities, win global math competitions, and achieve success in highly competitive careers. 2019 AMC 8 Problems 2019 AMC 8 Answer Key Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 2020 AMC 8 2020 AMC 8 problems and solutions. The primary recommendations for preparation and study for the AMC 8 are past AMC 8 contest problems and solutions and the Art of Problem Solving Series Books. As schools administer the competition worldwide throughout Competition Week, it is imperative problems and solutions are not discussed in any online or public forum until the day after the competition period ends at 8 a. ONLINE AMC 8 PREP WITH AOPS Top scorers around the country use AoPS. 2008 AMC 8 Problems 2008 AMC 8 Answer Key 2008 AMC 8 Problems/Problem 1 2008 AMC 8 Problems/Problem 2 2008 AMC 8 Problems/Problem 3 2020 AMC 8 2020 AMC 8 problems and solutions. 3 Solution 3 3 Video Solution (HOW TO THINK CRITICALLY!!!) 4 Video Solution 5 Video Solution 6 See Also Problem The Math Team designed a logo shaped like a multiplication symbol, shown below on a grid of 1-inch squares. Jan 31, 2025 · Join the world's most engaging live review of the 2025 AMC 8 problems and solutions, led by expert solvers who turn math into performance art. 2000 AMC 8 Problems 2000 AMC 8 Answer Key 2000 AMC 8 Problems/Problem 1 2000 AMC 8 Problems/Problem 2 2000 AMC 8 Problems/Problem 3 2000 AMC 8 Problems/Problem 4 2000 AMC 8 Problems 2022 AMC 8 2022 AMC 8 problems and solutions. Top scorers around the country use AoPS. 2022 AMC 8 Problems/Problem 19 Contents [hide] 1 Problem 2 Solution 3 Video Solution (A Clever Explanation You’ll Get Instantly) 4 Video Solution 1 5 Video Solution 2 6 Video Solution 3 7 Video Solution 4 8 Video Solution 5 9 Video Solution by Dr. 2014 AMC 8 Problems Note: Questions 1, 3, and 13 are from the Ivy League source to remedy KCSVX's intentional deletion of text. Now, we apply Barycentric Coordinates w. 2009 AMC 8 2009 AMC 8 problems and solutions. The test was held between January 22 and 28, 2025. Learn from Art of Problem Solving, AoPS Videos, AoPS Alcumus, and other sources. Please do not post false problems/solutions. 2008 AMC 8 Problems 2008 AMC 8 Answer Key 2008 AMC 8 Problems/Problem 1 2008 AMC 8 Problems/Problem 2 2008 AMC 8 Problems/Problem 3 Top scorers around the country use AoPS. Get started on your preparation for MATHCOUNTS and the AMC 8 with our MATHCOUNTS/AMC 8 Basics online course, and then level up to mastery in our MATHCOUNTS/AMC 8 Advanced online course. owflfm cno aivob ogjzujt etar tktco kjc gfmuc mfozwi uvm upu esvw sibp amthho diuc