{"id":933,"date":"2016-03-13T14:40:13","date_gmt":"2016-03-13T13:40:13","guid":{"rendered":"http:\/\/blogacabdx.ac-bordeaux.fr\/semaine-des-maths\/?p=933"},"modified":"2016-11-08T14:01:34","modified_gmt":"2016-11-08T13:01:34","slug":"enigmes-du-18-mars-2016","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/2016\/03\/13\/enigmes-du-18-mars-2016\/","title":{"rendered":"\u00c9nigmes du 18 mars 2016"},"content":{"rendered":"<h3><strong><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/03\/poign\u00e9e-de-main.jpg\" rel=\"attachment wp-att-940\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-940 alignright\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/03\/poign\u00e9e-de-main-300x199.jpg\" alt=\"poign\u00e9e de main\" width=\"267\" height=\"177\" \/><\/a>Niveau 6\u00e8me et 5\u00e8me<\/strong><\/h3>\n<p>A la fin d&#8217;une comp\u00e9tition, les 10 participants se serrent la main entre eux. L&#8217;arbitre a compt\u00e9 le nombre de poign\u00e9es de mains \u00e9chang\u00e9es. Combien a-t-il trouv\u00e9 ?<\/p>\n<h3><strong>Niveau Quatri\u00e8me et Troisi\u00e8me<br \/>\n<\/strong><\/h3>\n<p>A la fin d&#8217;une comp\u00e9tition, les participants se serrent la main entre eux. L&#8217;arbitre a compt\u00e9 exactement 45 poign\u00e9es de mains \u00e9chang\u00e9es. Combien y-avait-il de participants ?<\/p>\n<h3><strong>Niveau Seconde<br \/>\n<\/strong><\/h3>\n<p>A la fin d&#8217;une comp\u00e9tition, les participants se serrent la main entre eux. L&#8217;arbitre a compt\u00e9 exactement 300 poign\u00e9es de mains \u00e9chang\u00e9es. Combien y-avait-il de participants ?<\/p>\n<h3><strong>Niveau Premi\u00e8re et Terminale<\/strong><\/h3>\n<p>Lors d&#8217;une course cycliste, chaque concurrent a serr\u00e9 la main des autres sans que deux poign\u00e9es de mains aient eu lieu en m\u00eame temps.<br \/>\nUn journaliste a chronom\u00e8tre le temps qu&#8217;il a fallu et a trouv\u00e9 environ 23 min.<br \/>\nIl \u00e9value qu&#8217;il faut 3 seconde pour se serrer la main et annonce qu&#8217;il y a eu exactement 465 poign\u00e9es de mains.<\/p>\n<p>Comment peut-il \u00eatre s\u00fbr de ce r\u00e9sultat ?<br \/>\nCombien y a-t-il eu de participants ?<\/p>\n<p>&nbsp;<\/p>\n<p align=\"JUSTIFY\"><span style=\"color: #ff0000\"><em>Vous pouvez apporter vos r\u00e9ponses sur <span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"https:\/\/www.facebook.com\/SemaineDesMathsAcBordeaux\/\" target=\"_blank\">notre page Facebook<\/a><\/span> ou <span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"https:\/\/twitter.com\/semainemathsbdx\">en r\u00e9pondant \u00e0 nos Tweets<\/a><\/span>.<br \/>\n<\/em><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"color: #ff0000\"><em>Les corrig\u00e9s sont ici: <a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/03\/Corrig\u00e9-des-\u00e9nigmes-du-18-mars-2016-1.pdf\" rel=\"\">Corrig\u00e9 des \u00e9nigmes du 18 mars 2016<\/a><br \/>\n<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Niveau 6\u00e8me et 5\u00e8me A la fin d&#8217;une comp\u00e9tition, les 10 participants se serrent la main entre eux. L&#8217;arbitre a compt\u00e9 le nombre de poign\u00e9es de mains \u00e9chang\u00e9es. Combien a-t-il trouv\u00e9 ? Niveau Quatri\u00e8me et Troisi\u00e8me A la fin d&#8217;une comp\u00e9tition, les participants se serrent la main entre eux. L&#8217;arbitre a compt\u00e9 exactement 45 poign\u00e9es &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/2016\/03\/13\/enigmes-du-18-mars-2016\/\">Lire la suite<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,9,21],"tags":[],"class_list":["post-933","post","type-post","status-publish","format-standard","hentry","category-annee-2016","category-enigmes","category-maths-et-sport","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/933","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/comments?post=933"}],"version-history":[{"count":1,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/933\/revisions"}],"predecessor-version":[{"id":1224,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/933\/revisions\/1224"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/media?parent=933"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/categories?post=933"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/tags?post=933"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}