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The 2018 AMC 10A contest was held on Feb 7, 2018. Over 290,000 students from over 4,200 U.S. and international schools attended the contest and found it fun and rewarding. Top 20, well-known U.S. universities and colleges, including internationally recognized U.S. technical institutions, ask for AMC scores on their application forms. Your children deserve the chance to list these scores on their applications!Now we post the 2018 AMC 10A Problems and Answers. You can click the following to download them: More details can be found at: Click HERE find out more about Math Competitions!Click HERE to find out more about SAT Prep! This entry was posted in Math Competitions. Bookmark the permalink. 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. Dates: Contest A: Thursday, February 4th, 2021 Contest B: Wednesday, February 10th, 2021 PREPPING FOR THE AMC 12? Train for the AMC 12 with outstanding students from around the world in our AMC 12 Problem Series online class. LEARN MORE This is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry.AMC 8 2018 Problem 24In the cube $ABCDEFGH$ with opposite vertices $C$ and $E,$ $J$ and $I$ are the midpoints of edges $overlineFB$ and $overlineHD,$ respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2?$(A) $frac54$ (B) $ frac43 $ (C) $ frac32 $ (D) $ frac2516$ (E) $frac94$.Solution:Useful ResourcesThis is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry.AMC 8 2018 Problem 24In the cube $ABCDEFGH$ with opposite vertices $C$ and $E,$ $J$ and $I$ are the midpoints of edges $overlineFB$ and $overlineHD,$ respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2?$(A) $frac54$ (B) $ frac43 $ (C) $ frac32 $ (D) $ frac2516$ (E) $frac94$.Solution:Useful Resources The AMC 8 was administered from November 13, 2018 until November 19, 2018. According to the AMC policy, students, teachers, and coaches were not allowed to discuss the contest questions and solutions until after the end of the competition window, so we are only now able to post the 2018 AMC 8 Problems and Answers. You can click the following to download them: This years AMC 8 was MUCH more difficult than the last years AMC 8. Some hard problems were even at the AMC 10 level. For example, Problems 21, 22, and 24 on the 2018 AMC 8 are three typical hard-level AMC 10 problems.We predict that this years AMC 8 Honor Roll and Distinguished Honor Roll cut-off scores will be: 15 and 19, respectively. Read more at: AMC 8 Historical Results from 2010 to 2017Because the AMC 8 problems are getting harder, we must practice not only previous AMC 8 problems but also easy, medium, and even high difficulty level problems from previous AMC 1012 to do well on the AMC 8!More details can be found at: Click HERE find out more about Math Competitions!Click HERE to find out more about SAT Prep! This entry was posted in Math Competitions. Bookmark the permalink. The primary recommendations for preparation and study for the AMC 8 are past AMC 8 contests and the Art of Problem Solving Series Books. I recommend the AoPS books be studied in the following order: Prealgebra by Rusczyk, Patrick, and Boppana, AoPS, 2012. Introduction to Counting and Probability (2nd edition) by Patrick, AoPS, 2007. Introduction to Number Theory (2nd edition) by Crawford, AoPS, 2008. Additional Recommended Problem and Review Books for preparation for the AMC 8: Competition Math for Middle Schools by J. Batterson, CreateSpace, 2009. Challenge Math for Elementary and Middle School Student (2nd edition) by Edward Zaccaro, Hickory Grove Press, 2005. Creative Problem Solving in School Mathematics (2nd edition) by George Lenchner, Math Olympiads Press, 2005. Mathcounts Handbooks (typically over 300 new problems per year) It is better to give than to receive - especially advice - Mark Twain And remember - be respectful to your superiors, if you have any. Good Luck! - DP
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