{"id":11,"date":"2016-10-04T00:11:04","date_gmt":"2016-10-04T04:11:04","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/kangming\/events\/locations\/"},"modified":"2016-10-21T16:00:43","modified_gmt":"2016-10-21T20:00:43","slug":"mac8-10-and-12","status":"publish","type":"page","link":"https:\/\/blog.newtonchineseschool.org\/kangming\/mac8-10-and-12\/","title":{"rendered":"AMC 8, 10\/12"},"content":{"rendered":"<h2>What is the AMC 8?<\/h2>\n<p>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 learned skills to unique problem-solving challenges in a low-stress and friendly environment.<\/p>\n<p><a href=\"http:\/\/www.maa.org\/math-competitions\/amc-8\">American Mathematics Competition 8<\/a><\/p>\n<p><strong>2006 AMC 8 Problems<\/strong><\/p>\n<p>Mindy made three purchases for <img loading=\"lazy\" class=\"latex\" src=\"https:\/\/latex.artofproblemsolving.com\/6\/8\/1\/68168bcc4d01aa7aec743b633742b464519a242a.png\" alt=\"$\\textdollar 1.98$\" width=\"40\" height=\"14\" \/> dollars, <img loading=\"lazy\" class=\"latex\" src=\"https:\/\/latex.artofproblemsolving.com\/e\/0\/b\/e0b506b83b576af8cf6e642d947fd2dfe10c66b3.png\" alt=\"$\\textdollar 5.04$\" width=\"41\" height=\"14\" \/> dollars, and <img loading=\"lazy\" class=\"latex\" src=\"https:\/\/latex.artofproblemsolving.com\/2\/a\/8\/2a8a525881ca3fd279d0e34b225d62495687339a.png\" alt=\"$\\textdollar 9.89$\" width=\"40\" height=\"14\" \/> dollars. What was her total, to the nearest dollar?<\/p>\n<p><img loading=\"lazy\" class=\"latex\" src=\"https:\/\/latex.artofproblemsolving.com\/0\/d\/c\/0dc0218ab8c8345f702c95d30436766c862d8a7d.png\" alt=\"$\\textbf{(A)}\\ 10\\qquad\\textbf{(B)}\\ 15\\qquad\\textbf{(C)}\\ 16\\qquad\\textbf{(D)}\\ 17\\qquad\\textbf{(E)}\\ 18$\" width=\"394\" height=\"17\" \/><\/p>\n<p>&nbsp;<\/p>\n<div id=\"main-content\" class=\"region clearfix\">\n<div class=\"region region-content\">\n<div id=\"block-system-main\" class=\"block block-system\">\n<div class=\"content\">\n<div id=\"node-77\" class=\"node node-amc-web-page  clearfix\">\n<div class=\"content\">\n<div class=\"field field-name-body field-type-text-with-summary field-label-hidden\">\n<div class=\"field-items\">\n<div class=\"field-item even\">\n<h2>What is the AMC 10\/12?<\/h2>\n<p>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.<\/p>\n<p>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.<\/p>\n<p>These competitions are administered around the country on Tuesday, Feb. 7, 2017 and\/or Wednesday, Feb. 15, 2017. 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 <a href=\"http:\/\/www.maa.org\/news\/us-wins-first-place-at-international-mathematics-competition-in-hong-kong\">International Mathematical Olympiad <\/a>(see <a href=\"http:\/\/www.maa.org\/math-competitions\/amc-contests\/invitational-competitions\">Invitational Competitions<\/a>).<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><strong>2005 AMC 10B Problems<\/strong><\/p>\n<p>A circle is inscribed in a square, then a square is inscribed in this circle, and finally, a circle is inscribed in this square. What is the ratio of the area of the smaller circle to the area of the larger square?<\/p>\n<p><img loading=\"lazy\" class=\"latex\" src=\"http:\/\/latex.artofproblemsolving.com\/b\/8\/e\/b8e03c708bda37f13713235b95c8c29e5a17d5f1.png\" alt=\"$\\mathrm{(A)} \\frac{\\pi}{16} \\qquad \\mathrm{(B)} \\frac{\\pi}{8} \\qquad \\mathrm{(C)} \\frac{3\\pi}{16} \\qquad \\mathrm{(D)} \\frac{\\pi}{4} \\qquad \\mathrm{(E)} \\frac{\\pi}{2}$\" width=\"359\" height=\"38\" \/><\/p>\n<p><strong>2002 AMC 12B Problems<\/strong><\/p>\n<p>Four distinct <a title=\"Circle\" href=\"http:\/\/artofproblemsolving.com\/wiki\/index.php?title=Circle\">circles<\/a> are drawn in a <a title=\"Plane\" href=\"http:\/\/artofproblemsolving.com\/wiki\/index.php?title=Plane\">plane<\/a>. What is the maximum number of points where at least two of the circles intersect?<\/p>\n<p><img loading=\"lazy\" class=\"latex\" src=\"http:\/\/latex.artofproblemsolving.com\/c\/1\/0\/c10c869397ff976fd48f18be1d9564772f70a2ba.png\" alt=\"$\\mathrm{(A)}\\ 8 \\qquad\\mathrm{(B)}\\ 9 \\qquad\\mathrm{(C)}\\ 10 \\qquad\\mathrm{(D)}\\ 12 \\qquad\\mathrm{(E)}\\ 16$\" width=\"369\" height=\"18\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>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 &hellip; <a href=\"https:\/\/blog.newtonchineseschool.org\/kangming\/mac8-10-and-12\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":149,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0},"_links":{"self":[{"href":"https:\/\/blog.newtonchineseschool.org\/kangming\/wp-json\/wp\/v2\/pages\/11"}],"collection":[{"href":"https:\/\/blog.newtonchineseschool.org\/kangming\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.newtonchineseschool.org\/kangming\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/kangming\/wp-json\/wp\/v2\/users\/149"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/kangming\/wp-json\/wp\/v2\/comments?post=11"}],"version-history":[{"count":8,"href":"https:\/\/blog.newtonchineseschool.org\/kangming\/wp-json\/wp\/v2\/pages\/11\/revisions"}],"predecessor-version":[{"id":143,"href":"https:\/\/blog.newtonchineseschool.org\/kangming\/wp-json\/wp\/v2\/pages\/11\/revisions\/143"}],"wp:attachment":[{"href":"https:\/\/blog.newtonchineseschool.org\/kangming\/wp-json\/wp\/v2\/media?parent=11"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}