{"id":1818,"date":"2017-02-22T12:51:36","date_gmt":"2017-02-22T11:51:36","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/?p=1818"},"modified":"2017-03-04T23:56:29","modified_gmt":"2017-03-04T22:56:29","slug":"enigmes-cycle-3-4","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/2017\/02\/22\/enigmes-cycle-3-4\/","title":{"rendered":"\u00c9nigmes plurilingues cycle 3 et 4"},"content":{"rendered":"<p>Voici\u00a0une s\u00e9rie d\u00b4\u00e9nigmes pour les cycle 3 et 4, d\u00e9clin\u00e9es en allemand, en anglais, en espagnol ou en fran\u00e7ais, s\u00e9lectionn\u00e9es et r\u00e9dig\u00e9es par des \u00e9l\u00e8ves\u00a0de lyc\u00e9es de l&#8217;acad\u00e9mie de Bordeaux.<\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 1<\/span>, <em>d&#8217;apr\u00e8s<\/em> <em>Math\u00e9matiques Sans Fronti\u00e8res Junior<\/em><\/h2>\n<table>\n<tbody>\n<tr>\n<td><strong>Leckerbissen:<\/strong> Robert spielt mit einer Waage, die 2 Waagschalen hat. In diesen 2 Situationen ist sein Waage im Gleichgewicht.<\/p>\n<p><strong>Wie viele Lutscher muss er auf die rechte Waagschale legen, damit die Waage im Gleichgewicht ist\u00a0?<\/strong><\/td>\n<td><strong>Sweets:<\/strong> Robert is playing with a balance scale. In the two following situations the scale is balanced.<\/p>\n<p><strong>How many lollipops should he put on the right pan to achieve equilibrium?<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1819\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/allemand.png\" alt=\"\" width=\"254\" height=\"156\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/allemand.png 308w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/allemand-300x184.png 300w\" sizes=\"auto, (max-width: 254px) 100vw, 254px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1820\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/anglais.png\" alt=\"\" width=\"202\" height=\"155\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/anglais.png 308w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/anglais-300x230.png 300w\" sizes=\"auto, (max-width: 202px) 100vw, 202px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1821 alignright\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/image-3.png\" alt=\"\" width=\"211\" height=\"162\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/image-3.png 308w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/image-3-300x230.png 300w\" sizes=\"auto, (max-width: 211px) 100vw, 211px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1824 alignright\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/\u00e9chiquier.png\" alt=\"\" width=\"209\" height=\"251\" \/><\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 2<\/span><em>, d&#8217;apr\u00e8s<\/em> <em>Math\u00e9matiques Sans Fronti\u00e8res Junior<\/em>.<\/h2>\n<p><strong><u>Verr\u00fcckt nach Reis:\u00a0<\/u><\/strong>Marco legt Reisk\u00f6rner auf ein Schachbrett. Er legt Reiskorn auf das erste Feld, 2 Reisk\u00f6rner auf das zweite, 4 Reisk\u00f6rner auf das dritte. So verdoppelt er jedes Mal die Anzhal der Reisk\u00f6rner von dem einen Feld auf das n\u00e4chste.<\/p>\n<p><strong>Auf dem wievielten Feld legt Marco das 1000. Reiskorn?<\/strong><\/p>\n<p><strong><u>Mad about rice:\u00a0<\/u><\/strong>Marco is placing grains of rice on a chessboard.<br \/>\nHe puts 1 grain of rice on the first square, 2 on the second one, 4 on the third one. By doing this he doubles each time the number of grains from one square to the next one.\u00a0<strong>Which square will Marco place the 1000th grain on?<\/strong><\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 3<\/span><\/h2>\n<p>Two Santa Clause goblins need one hour and 30 minutes to wrap eighteen Christmas presents.<br \/>\nSanta Claus knows that he must bring 99 presents for the trip which starts in 90 min.<br \/>\n<strong>How many goblins should be wrapping to leave on time?<\/strong><\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 4<\/span><\/h2>\n<p>A snail is at the bottom of a well of 10m.\u00a0Every morning, it ascends 3m and every night it goes down 2m.<br \/>\n<strong>How many days will it <\/strong><strong>take<\/strong><strong> to get out of the well?<\/strong><\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 5<\/span><\/h2>\n<p>There are several books on a bookshelf. If one book is the 4<sup>th<\/sup> from the left and 6<sup>th<\/sup> from the right, how many books are on the shelf?<\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 6 <\/span>:\u00a0Mystery<\/h2>\n<p>In a race of roman chariots,<br \/>\nAll the chariots are blue except two,<br \/>\nAll the chariots are red except two,<br \/>\nAll the chariots are green except two.<\/p>\n<p><strong>How many chariots are there?<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1826 alignright\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/oca-corral.png\" alt=\"\" width=\"428\" height=\"104\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/oca-corral.png 465w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/02\/oca-corral-300x73.png 300w\" sizes=\"auto, (max-width: 428px) 100vw, 428px\" \/><\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 7 <\/span>:\u00a0Oca corral<strong><br \/>\n<\/strong><\/h2>\n<p>En un corral del Norte de Espa\u00f1a, se puede encontrar ocas blancas y cerdos. Sabemos que hay 200 patas y 72 cabezas. \u00bfCu\u00e1ntas orejas de cerdos podemos contar?<\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 8<\/span>:\u00a0Combinaci\u00f3n<\/h2>\n<p>Buscamos un n\u00famero de 6 d\u00edgitos que incluye:<\/p>\n<ul>\n<li>El primero y el \u00faltimo digito son los mismos.<\/li>\n<li>Si se multiplica el primer n\u00famero por 2 produce un n\u00famero de dos cifras.<\/li>\n<li>Dichas cifras representan el segundo y el tercer digito.<\/li>\n<li>El ultimo digito multiplicado por 3 da un numero de 2 d\u00edgitos.<\/li>\n<li>Estos dos d\u00edgitos son el cuarto y el quinto.<\/li>\n<li>La suma de los 6 d\u00edgitos es 22.<\/li>\n<\/ul>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 9<\/span><\/h2>\n<p>On cherche \u00e0 obtenir le mot LOVE \u00e0 partir du mot VELO en \u00e9changeant une fois apr\u00e8s l\u00b4autre, deux lettres adjacentes. Combien d\u00b4\u00e9changes, au minimum doit-on faire\u00a0? <em>(Kangourou des math\u00e9matiques).<\/em><\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 10 <\/span>:\u00a0D\u00e9coder, <em>d&#8217;apr\u00e8s<\/em> <em>Math\u00e9matiques Sans Fronti\u00e8res Junior<\/em><\/h2>\n<p>Au fond de la mer, un plongeur d\u00e9couvre une amphore sur laquelle est grav\u00e9e: XUPIRBHYH<br \/>\nEn songe, Ath\u00e9na, d\u00e9esse du savoir, vient le visiter et lui donne ces indications:<br \/>\n\u201cPour d\u00e9coder chaque lettre de ce message il faut:<br \/>\n&#8211; lui attribuer son rang dans l\u00b4alphabet (1 \u00e0 A, 2 \u00e0 B, etc&#8230;)<br \/>\n&#8211; multiplier ce nombre par 3<br \/>\n&#8211; ajouter 7 au r\u00e9sultat obtenu<br \/>\n&#8211; calculer le reste de la division euclidienne de ce dernier r\u00e9sultat par 26<br \/>\n&#8211; associer \u00e0 ce reste la lettre de l\u00b4alphabet correspondante (1 \u00e0 A, 2 \u00e0 B, etc&#8230;)\u201d<\/p>\n<p><strong>Aide notre plongeur \u00e0 d\u00e9coder l\u00b4inscription de l\u00b4amphore.<br \/>\n<\/strong><\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 11<\/span><\/h2>\n<p>Arthur va \u00e0 Floirac, assister \u00e0 la s\u00e9ance d\u00b4un spectacle \u00e9tonnant sur les maths et la m\u00e9moire.<br \/>\nUne fois assis, il remarque que dans sa rang\u00e9e il y a 8 si\u00e8ges sur sa gauche et 13 sur sa droite.<br \/>\nIl compte 24 rang\u00e9es devant lui et 25 derri\u00e8re lui.<br \/>\nIl y a le m\u00eame nombre de si\u00e8ges dans chaque rang\u00e9e.<\/p>\n<p><strong>Combien cette salle de Floirac compte-t-elle de places?<\/strong><\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 12<\/span>, <em>d&#8217;apr\u00e8s<\/em> <em>Math\u00e9matiques Sans Fronti\u00e8res Junior<\/em><\/h2>\n<p>Cette semaine Manon a re\u00e7u 100 SMS.<br \/>\nLundi elle a re\u00e7u 11 SMS. C\u00b4est le jour o\u00f9 elle en a le moins re\u00e7u.<br \/>\nMardi elle a re\u00e7u autant de SMS que jeudi et vendredi.<br \/>\nElle en a eu autant mercredi que samedi, mais plus que jeudi.<br \/>\nC\u00b4est dimanche qu\u00b4elle en a re\u00e7u le plus\u00a0: 20 SMS.<\/p>\n<p><strong>Combien Manon a-t-elle re\u00e7u de SMS chaque jour de cette semaine\u00a0?<br \/>\n<\/strong><\/p>\n<h2><span style=\"color: #0000ff\">\u00c9nigme 13<\/span><\/h2>\n<p>Nous sommes lundi 13 mars 2017. Quel jour de la semaine serons nous dans 331 jours?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Voici\u00a0une s\u00e9rie d\u00b4\u00e9nigmes pour les cycle 3 et 4, d\u00e9clin\u00e9es en allemand, en anglais, en espagnol ou en fran\u00e7ais, s\u00e9lectionn\u00e9es et r\u00e9dig\u00e9es par des \u00e9l\u00e8ves\u00a0de lyc\u00e9es de l&#8217;acad\u00e9mie de Bordeaux. \u00c9nigme 1, d&#8217;apr\u00e8s Math\u00e9matiques Sans Fronti\u00e8res Junior Leckerbissen: Robert spielt mit einer Waage, die 2 Waagschalen hat. In diesen 2 Situationen ist sein Waage im &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/2017\/02\/22\/enigmes-cycle-3-4\/\">Lire la suite<\/a><\/p>\n","protected":false},"author":64,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,22,9,24],"tags":[],"class_list":["post-1818","post","type-post","status-publish","format-standard","hentry","category-1er-degre","category-annee-2017","category-enigmes","category-maths-et-langages","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/1818","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\/64"}],"replies":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/comments?post=1818"}],"version-history":[{"count":13,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/1818\/revisions"}],"predecessor-version":[{"id":1918,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/1818\/revisions\/1918"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/media?parent=1818"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/categories?post=1818"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/tags?post=1818"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}