{"id":10596,"date":"2026-07-20T12:16:13","date_gmt":"2026-07-20T10:16:13","guid":{"rendered":"https:\/\/trabucaire.pages-perso.free.fr\/?page_id=10596"},"modified":"2026-07-20T12:17:25","modified_gmt":"2026-07-20T10:17:25","slug":"8-les-resultats-surprises","status":"publish","type":"page","link":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/8-les-resultats-surprises\/","title":{"rendered":"8\u00b0\/ Les r\u00e9sultats surprises :"},"content":{"rendered":"<p><strong> a\/ <span style=\"text-decoration: underline;\">Le r\u00e9sultat est 222 :<\/span><\/strong><\/p>\n<p>1\/ Choisissez 3 chiffres distincts.<br \/>\n2\/ Calculez leur somme s.<br \/>\n3\/ En permutant ces 3 chiffres, formez les 6 nombres possibles inf\u00e9rieurs \u00e0 1 000.<br \/>\n4\/ Calculez la somme S de ces 6 nombres.<br \/>\n5\/ D\u00e9montrez que le quotient de S par s est toujours de 222.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>R\u00e9ponse :<\/strong><\/span><\/p>\n<p>Nombre de 3 chiffres choisit : abc<\/p>\n<p>s = a + b + c<\/p>\n<p>Permutations : abc, acb, bac, bca, cab, cba.<\/p>\n<p>S = 100a + 10b + c + 100a + 10c + b + 100b + 10a + c + 100b + 10c + a + 100c + 10a + b + 100c +10b + a<br \/>\nS = 222a + 222 b + 222c<br \/>\nS = 222( a + b +c)<br \/>\nDonc : S\/s = 222<\/p>\n<p><strong>b\/ <span style=\"text-decoration: underline;\">Le r\u00e9sultat est la somme des 3 chiffres du nombre :<\/span><\/strong><\/p>\n<p>1\/ Choisissez un nombre entre 100 et 999.<br \/>\n2\/ Appelez S la somme de ces 3 chiffres et d le chiffres des dizaines.<br \/>\n3\/ Renversez le nombre de d\u00e9part ( 135 devenant 531 par exemple).<br \/>\n4\/ Au nombre ainsi obtenu, ajouter le nombre de d\u00e9part.<br \/>\n5\/ Au r\u00e9sultat, enlever de double de S.<br \/>\n6\/ Divisez le r\u00e9sultat par 9.<br \/>\n7\/ Au r\u00e9sultat, enlever de double de S.<br \/>\n8\/ Divisez le r\u00e9sultat par 9.<br \/>\n9\/ Ajoutez le nombre d au quotient.<br \/>\n10\/ D\u00e9montrez que le r\u00e9sultat final sera toujours \u00e9gal \u00e0 S.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>R\u00e9ponse :<\/strong><\/span><\/p>\n<p>1\/ Choisissez un nombre entre 100 et 999 : <strong>abc<br \/>\n<\/strong>2\/ Appelez S la somme de ces 3 chiffres et d le chiffres des dizaines : <strong>S = a + b + c et d = b<br \/>\n<\/strong>3\/ Renversez le nombre de d\u00e9part ( 135 devenant 531 par exemple) : <strong>cba<br \/>\n<\/strong>4\/ Au nombre ainsi obtenu, ajouter le nombre de d\u00e9part : <strong>100a + 10b + c + 100c + 10b + a =<\/strong><strong> 101a + 20b + 101c<br \/>\n<\/strong>5\/ Au r\u00e9sultat, enlever de double de S : <strong>101a + 20b + 101c \u2013 2(a + b + c) = 99a + 18b + 99c<br \/>\n<\/strong>6\/ Divisez le r\u00e9sultat par 9 : <strong>(99a + 18b + 99c)\/9 = 11a + 2b + 11c<br \/>\n<\/strong>7\/ Au r\u00e9sultat, enlever de double de S : <strong>11a + 2b + 11c\u2013 2(a + b + c) = 9a + 9c<br \/>\n<\/strong>8\/ Divisez le r\u00e9sultat par 9 : <strong>(9a + 9c)\/9 = a + c<br \/>\n<\/strong>9\/ Ajoutez le nombre d au quotient : <strong>a + c + b = S<\/strong><\/p>\n<p><strong>c\/<\/strong> <span style=\"text-decoration: underline;\"><strong>Un multiple de 9 :<\/strong><\/span><br \/>\n1\/ Choisissez un nombre entier de 3 ou 4 chiffres.<br \/>\n2\/ A l\u2019aide de ces chiffres, formez un autre nombre diff\u00e9rent du premier<br \/>\n3\/ Calculer la diff\u00e9rence de ces deux nombres.<br \/>\n4\/ Pourquoi le r\u00e9sultat obtenu, est un multiple de 9.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>R\u00e9ponse :<\/strong><\/span><\/p>\n<p>Nombre de 3 chiffres choisit : abc<br \/>\nAutre nombre : bac<br \/>\nDiff\u00e9rence = 100a + 10b + c \u2013 ( 100b + 10a + c) = 90a \u2013 90b<\/p>\n<p>En fait, aux milliers par exemple, on enl\u00e8ve 100, 10 ou 1 pour obtenir 900, 990 ou 999, cad des multiples de 9. Ceci est valable pour 100, 10 et 1, m\u00eame si on obtient des r\u00e9sultats n\u00e9gatifs.<\/p>\n<p><strong> d\/<\/strong> <span style=\"text-decoration: underline;\"><strong>Algorithme de Kaprekar :<\/strong><\/span><\/p>\n<p>1\/ Choisissez un nombre compos\u00e9 de 4 chiffres, dont au moins deux sont diff\u00e9rents.<br \/>\n2\/ R\u00e9ordonnez ses chiffres dans l&rsquo;ordre d\u00e9croissant de la gauche vers la droite, puis dans l&rsquo;ordre croissant.<br \/>\n3\/ Calculez la diff\u00e9rence de ces deux derniers nombres.<br \/>\n4\/ On obtient un nouveau nombre de 4 chiffres que l&rsquo;on soumet \u00e0 son tour au traitement pr\u00e9c\u00e9dent.<br \/>\n5\/ Continuez jusqu&rsquo;\u00e0 l&rsquo;inutilit\u00e9 de nouveaux calculs.<br \/>\nConsid\u00e9rez toujours vos r\u00e9sultats comme ayant 4 chiffres avec \u00e9ventuellement un z\u00e9ro \u00e0 gauche.<\/p>\n<p>On arrive toujours \u00e0 <em>6174 <\/em>et ce en 7 soustractions au maximum. Cet algorithme porte le nom d&rsquo;Algorithme de Kaprekar.<br \/>\nCette propri\u00e9t\u00e9 est une excellente occasion pour les parents ou les ma\u00eetres de faire faire des soustractions aux enfants qui n&rsquo;en croient pas leur r\u00e9sultat quel que soit le nombre de d\u00e9part.<\/p>\n<p>Je prends par exemple 8541 :<\/p>\n<p>8541 &#8211; 1458 = 7083<br \/>\n8730 &#8211; 0378 = 8352<br \/>\n8532 &#8211; 2358 = <strong><span style=\"color: #ff0000;\">6174<\/span><\/strong><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/scratch.mit.edu\/projects\/676639347\/embed\" width=\"1000\" height=\"829\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><strong>e\/ <span style=\"text-decoration: underline;\">Le r\u00e9sultat est 4 :<\/span><\/strong><\/p>\n<p>1\/ Prenez un nombre compris entre 1000 et 9999 (votre num\u00e9ro de carte bancaire par exemple. Promis, je ne le garderais pas.).<\/p>\n<p>2\/ Multipliez le par les 2 derniers chiffre de votre date de naissance.<\/p>\n<p>3\/ Multipliez le r\u00e9sultat par mon poids qui est de 90 kg (j\u2019en un peu maigris\u00a0!!).<\/p>\n<p>4\/ Soustraire 1967, qui est mon ann\u00e9e de naissance, au r\u00e9sultat pr\u00e9c\u00e9dent.<\/p>\n<p>5\/ Additionnez tous les chiffres qui composent le dernier r\u00e9sultat. Si c\u2019est un nombre \u00e0 2 chiffres, additionnez-les. Vous obtenez \u2026<\/p>\n<p class=\"cff-form-name\"><span class=\"cff-form-name-shortcode\"><script data-category=\"functional\" type=\"text\/javascript\" src=\"https:\/\/trabucaire.pages-perso.free.fr\/wp-includes\/js\/jquery\/jquery.js\"><\/script><script data-category=\"functional\" type=\"text\/javascript\" src=\"https:\/\/trabucaire.pages-perso.free.fr\/wp-includes\/js\/jquery\/ui\/core.min.js\"><\/script><script data-category=\"functional\" type=\"text\/javascript\" src=\"https:\/\/trabucaire.pages-perso.free.fr\/wp-includes\/js\/jquery\/ui\/datepicker.min.js\"><\/script><script data-category=\"functional\" type=\"text\/javascript\" src=\"https:\/\/trabucaire.pages-perso.free.fr\/wp-includes\/js\/jquery\/ui\/tooltip.min.js\"><\/script><script data-category=\"functional\" type=\"text\/javascript\" src=\"https:\/\/trabucaire.pages-perso.free.fr\/wp-includes\/js\/jquery\/ui\/mouse.min.js\"><\/script><script data-category=\"functional\" type=\"text\/javascript\" src=\"https:\/\/trabucaire.pages-perso.free.fr\/wp-includes\/js\/jquery\/ui\/slider.min.js\"><\/script>\t\t\t\t\t<script data-category=\"functional\" type='text\/javascript'> if( typeof fbuilderjQuery == 'undefined' && typeof jQuery != 'undefined' ) fbuilderjQuery = jQuery;<\/script>\n\t\t\t\t\t<script data-category=\"functional\" type='text\/javascript' src='https:\/\/trabucaire.pages-perso.free.fr\/wp-content\/plugins\/calculated-fields-form\/vendors\/jquery.validate.js'><\/script>\n\t\t\t\t\t<script data-category=\"functional\" type='text\/javascript' src='https:\/\/trabucaire.pages-perso.free.fr\/wp-content\/plugins\/calculated-fields-form\/vendors\/purify.min.js'><\/script>\n\t\t\t\t\t<script data-category=\"functional\" type='text\/javascript' src='https:\/\/trabucaire.pages-perso.free.fr\/wp-content\/plugins\/calculated-fields-form\/js\/cache\/all.js?ver=5.5.0.2'><\/script>\n\t\t\t\t\t\t\t\t\t<pre style=\"display:none !important;\"><script data-category=\"functional\" type='text\/javascript'>cp_calculatedfieldsf_fbuilder_config_1={\"obj\":{\"pub\":true,\"form\":\"11\",\"identifier\":\"_1\",\"messages\":{\"required\":\"This field is required.\",\"email\":\"Please enter a valid email address.\",\"datemmddyyyy\":\"Please enter a valid date with this format(mm\\\/dd\\\/yyyy)\",\"dateddmmyyyy\":\"Please enter a valid date with this format(dd\\\/mm\\\/yyyy)\",\"number\":\"Please enter a valid number.\",\"digits\":\"Please enter only digits.\",\"max\":\"Please enter a value less than or equal to {0}.\",\"min\":\"Please enter a value greater than or equal to {0}.\",\"previous\":\"Previous\",\"next\":\"Next\",\"pageof\":\"Page {0} of {0}\",\"audio_tutorial\":\"Help\",\"ai_assistant_button\":\"Apply suggestion\",\"ai_assistant_generating\":\"Generating suggestion...\",\"minlength\":\"Please enter at least {0} characters.\",\"maxlength\":\"Please enter no more than {0} characters.\",\"equalTo\":\"Please enter the same value again.\",\"accept\":\"Please enter a value with a valid extension.\",\"upload_size\":\"The file you've chosen is too big, maximum is {0} kB.\",\"phone\":\"Invalid phone number.\",\"currency\":\"Please enter a valid currency value.\",\"captcha_required_text\":\"Please enter the captcha verification code.\",\"incorrect_captcha_text\":\"Incorrect captcha code. Please try again.\"}}};<\/script><\/pre>\n\t\t\t\t<link href=\"https:\/\/trabucaire.pages-perso.free.fr\/wp-content\/plugins\/calculated-fields-form\/templates\/13\/style.css?ver=5.5.0.2\" type=\"text\/css\" rel=\"stylesheet\" property=\"stylesheet\" \/><style>@media (max-width:480px){#cp_calculatedfieldsf_pform_1{min-height:1025px;}}@media (max-width:1024px){#cp_calculatedfieldsf_pform_1{min-height:651px;}}@media (min-width:1024px){#cp_calculatedfieldsf_pform_1{min-height:593px;}}<\/style><form name=\"cp_calculatedfieldsf_pform_1\" id=\"cp_calculatedfieldsf_pform_1\" action=\"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/8-les-resultats-surprises\/\" method=\"post\" enctype=\"multipart\/form-data\" onsubmit=\"return fbuilderjQuery.fbuilder.doValidate(this);\" class=\"cff-form no-prefetch  cff-form-11 cp_cff_13\"  data-nonce=\"caff636602\">\n<input type=\"hidden\" name=\"cp_calculatedfieldsf_pform_psequence\" value=\"_1\" \/>\n<input type=\"hidden\" name=\"cp_calculatedfieldsf_id\" value=\"11\" \/>\n<input type=\"hidden\" name=\"cp_ref_page\" value=\"https:\/\/trabucaire.pages-perso.free.fr\" \/>\n<pre style=\"display:none !important;\"><script data-category=\"functional\" type=\"text\/javascript\">form_structure_1=[[{\"form_identifier\":\"\",\"name\":\"fieldname2\",\"shortlabel\":\"\",\"index\":0,\"ftype\":\"fnumber\",\"userhelp\":\"\",\"userhelpTooltip\":false,\"tooltipIcon\":false,\"csslayout\":\"\",\"title\":\"Prenez un nombre compris entre 1000 et 9999 (votre num\\u00e9ro de carte bancaire par exemple. 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\\u0022,fieldname2*fieldname1*90)\",\"min\":\"\",\"max\":\"\",\"suffix\":\"\",\"prefix\":\"\",\"decimalsymbol\":\".\",\"groupingsymbol\":\"\",\"readonly\":true,\"currency\":false,\"noEvalIfManual\":true,\"formatDynamically\":false,\"hidefield\":false,\"fBuild\":{},\"parent\":\"\"},{\"dependencies\":[{\"rule\":\"\",\"complex\":false,\"fields\":[\"\"]}],\"form_identifier\":\"\",\"name\":\"fieldname9\",\"shortlabel\":\"\",\"index\":3,\"ftype\":\"fCalculated\",\"userhelp\":\"\",\"userhelpTooltip\":false,\"tooltipIcon\":false,\"csslayout\":\"\",\"title\":\"Soustraire 1967, qui est mon ann\\u00e9e de naissance, au r\\u00e9sultat pr\\u00e9c\\u00e9dent.\",\"predefined\":\"\",\"required\":false,\"exclude\":false,\"size\":\"medium\",\"eq\":\"CONCATENATE(fieldname2*fieldname1*90,\\u0022 - 1967 = 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chiffre\",\"predefined\":\"\",\"required\":false,\"exclude\":false,\"size\":\"medium\",\"eq\":\"FLOOR((fieldname12-1000000*fieldname13-100000*fieldname14-10000*fieldname15-1000*fieldname16-100*fieldname17-10*fieldname18))\",\"min\":\"\",\"max\":\"\",\"suffix\":\"\",\"prefix\":\"\",\"decimalsymbol\":\".\",\"groupingsymbol\":\"\",\"readonly\":true,\"currency\":false,\"noEvalIfManual\":true,\"formatDynamically\":false,\"hidefield\":true,\"fBuild\":{},\"parent\":\"\"},{\"dependencies\":[{\"rule\":\"\",\"complex\":false,\"fields\":[\"\"]}],\"form_identifier\":\"\",\"name\":\"fieldname10\",\"shortlabel\":\"\",\"index\":12,\"ftype\":\"fCalculated\",\"userhelp\":\"\",\"userhelpTooltip\":false,\"tooltipIcon\":false,\"csslayout\":\"\",\"title\":\"Additionnez tous les chiffres qui composent le dernier r\\u00e9sultat. Si c\\u2019est un nombre \\u00e0 2 chiffres, additionnez-les. Vous obtenez : 4 !!\",\"predefined\":\"\",\"required\":false,\"exclude\":false,\"size\":\"medium\",\"eq\":\"CONCATENATE(fieldname13,\\u0022 + \\u0022,fieldname14,\\u0022 + \\u0022,fieldname15,\\u0022 + \\u0022,fieldname16,\\u0022 + \\u0022,fieldname17,\\u0022 + \\u0022,fieldname18,\\u0022 + \\u0022,fieldname19,\\u0022 = \\u0022,fieldname13+fieldname14+fieldname15+fieldname16+fieldname17+fieldname18+fieldname19)\",\"min\":\"\",\"max\":\"\",\"suffix\":\"\",\"prefix\":\"\",\"decimalsymbol\":\".\",\"groupingsymbol\":\"\",\"readonly\":true,\"currency\":false,\"noEvalIfManual\":true,\"formatDynamically\":false,\"hidefield\":false,\"fBuild\":{},\"parent\":\"\"}],{\"0\":{\"title\":\"Essayez de jouer :\",\"description\":\"\",\"formlayout\":\"top_aligned\",\"formtemplate\":\"cp_cff_13\",\"evalequations\":1,\"evalequationsevent\":2,\"loading_animation\":0,\"autocomplete\":1,\"persistence\":0,\"animate_form\":0,\"customstyles\":\"\"},\"formid\":\"cp_calculatedfieldsf_pform_1\"}];<\/script><\/pre>\n<div id=\"fbuilder\">\n\t\t<div id=\"fbuilder_1\">\n\t\t<div id=\"formheader_1\"><\/div>\n\t\t<div id=\"fieldlist_1\"><\/div>\n\t\t<div class=\"clearer\"><\/div>\n\t<\/div>\n\t<div id=\"cpcaptchalayer_1\" class=\"cpcaptchalayer\" style=\"display:none;\">\n\t\t            <div class=\"fields\">\r\n                <label>Please enter the security code<\/label>\r\n                <div class=\"dfield\">\r\n                    <span id=\"cff_captcha_math_1\" class=\"cff-captcha-math-label\">4 + 4 = <\/span>\r\n                    <input type=\"text\" size=\"8\" name=\"hdcaptcha_cp_calculated_fields_form_post\" id=\"hdcaptcha_cp_calculated_fields_form_post_1\" value=\"\" autocomplete=\"off\" \/>\r\n                    <div class=\"error message\" id=\"hdcaptcha_error_1\" style=\"display:none;\"><\/div>\r\n                <\/div>\r\n                <div class=\"clearer\"><\/div>\r\n            <\/div>\r\n        \t<\/div>\n<\/div>\n\t<div id=\"cp_subbtn_1\" class=\"cp_subbtn\" style=\"display:none;\"><\/div><div class=\"clearer\"><\/div>\n\t<input type=\"hidden\" id=\"_cpcff_public_nonce\" name=\"_cpcff_public_nonce\" value=\"e91aa3eafb\" \/><input type=\"hidden\" name=\"_wp_http_referer\" value=\"\/index.php\/wp-json\/wp\/v2\/pages\/10596\" \/><\/form>\n\t<\/span><\/p>\n<p><span style=\"color: #ff0000;\"><strong>On obtiendra toujours 4.<\/strong><\/span><\/p>\n<p><strong>f\/ <span style=\"text-decoration: underline;\">Je lit dans vos pens\u00e9es :<\/span><\/strong><\/p>\n<p>1\u00b0\/ Choisir un animal.<br \/>\n2\u00b0\/ Compter le nombre de lettres qui le compose.<br \/>\n3\u00b0\/ Multiplier ce nombre par 2.<br \/>\n3\u00b0\/ Multiplier ce r\u00e9sultat par 5.<br \/>\n4\u00b0\/ Enlever 6.<br \/>\n5\u00b0\/ Prendre le chiffre des unit\u00e9s.<br \/>\n6\u00b0\/ Prendre la lettre qui correspond a ce chiffre\u00a0: A = 1\u00a0; B = 2 \u2026<br \/>\n7\u00b0\/ Choisir un pays commen\u00e7ant par cette lettre.<br \/>\n8\u00b0\/ Choisir un fruit qui commence par la derni\u00e8re lettre de ce pays.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Je devine votre r\u00e9ponse\u00a0: le kiwi.<\/strong><\/span><\/p>\n<p><strong><span style=\"color: #ff0000;\">Explications\u00a0:<\/span><\/strong><\/p>\n<p><span style=\"color: #ff0000;\">1\u00b0\/ Choisir un animal.<\/span><br \/>\n<span style=\"color: #ff0000;\">2\u00b0\/ Compter le nombre de lettres qui le compose\u00a0: x<\/span><br \/>\n<span style=\"color: #ff0000;\">3\u00b0\/ Multiplier ce nombre par 2\u00a0: 2x<\/span><br \/>\n<span style=\"color: #ff0000;\">3\u00b0\/ Multiplier ce r\u00e9sultat par 5\u00a0: 10x<\/span><br \/>\n<span style=\"color: #ff0000;\">4\u00b0\/ Enlever 6\u00a0: 10x \u2013 6 et 10x se termine obligatoirement par un 0. Si on enl\u00e8ve 4, le r\u00e9sultat se terminera obligatoirement par 4.<\/span><br \/>\n<span style=\"color: #ff0000;\">5\u00b0\/ Prendre le chiffre des unit\u00e9s\u00a0: 4<\/span><br \/>\n<span style=\"color: #ff0000;\">6\u00b0\/ Prendre la lettre qui correspond a ce chiffre\u00a0: A = 1\u00a0; B = 2 \u2026 4 = D<\/span><br \/>\n<span style=\"color: #ff0000;\">7\u00b0\/ Choisir un pays commen\u00e7ant par cette lettre\u00a0: il y a seulement 3 les pays commen\u00e7ant par D<\/span><\/p>\n<p><span style=\"color: #ff0000;\">\u00a0\u00a0\u00a0 Danemark\u00a0: le plus connu<\/span><br \/>\n<span style=\"color: #ff0000;\">\u00a0\u00a0\u00a0 Djibouti<\/span><br \/>\n<span style=\"color: #ff0000;\">\u00a0\u00a0 \u00a0Dominique<\/span><\/p>\n<p><span style=\"color: #ff0000;\">8\u00b0\/ Choisir un fruit qui commence par la derni\u00e8re lettre de ce pays\u00a0: il y a seulement 5 les pays commen\u00e7ant par K<\/span><\/p>\n<p><span style=\"color: #ff0000;\">\u00a0\u00a0\u00a0 Kaki\u00a0: connu<\/span><br \/>\n<span style=\"color: #ff0000;\">\u00a0\u00a0\u00a0 Kiwa\u00ef<\/span><br \/>\n<span style=\"color: #ff0000;\">\u00a0\u00a0\u00a0 Kiwano<\/span><br \/>\n<span style=\"color: #ff0000;\">\u00a0\u00a0\u00a0 Kiwi : le plus connu<\/span><br \/>\n<span style=\"color: #ff0000;\">\u00a0\u00a0\u00a0 Koron\u00e9\u00efki<\/span><\/p>\n<p><strong>g\/ <span style=\"text-decoration: underline;\">Je devine vos mouvements :<\/span><\/strong><\/p>\n<table style=\"width: 100%; border-collapse: collapse; border-style: solid; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 50%; border-style: solid; border-color: #000000;\"><img decoding=\"async\" class=\"aligncenter\" src=\"\/Media\/Maths\/Jeux\/Mvt.jpg\" alt=\"\" \/><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000;\">1\u00b0\/ Choisissez une case sur cette grille.<\/p>\n<p>2\u00b0\/ D\u00e9placez-vous verticalement vers une case bleue.<\/p>\n<p>3\u00b0\/ D\u00e9placez-vous horizontalement vers une case rouge.<\/p>\n<p>4\u00b0\/ D\u00e9placez-vous en diagonale vers une case verte.<\/p>\n<p>5\u00b0\/ D\u00e9placez-vous verticalement vers une case jaune.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><strong><span style=\"color: #ff0000;\">Vous \u00eates en C2.<\/span><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>a\/ Le r\u00e9sultat est 222 : 1\/ Choisissez 3 chiffres distincts. 2\/ Calculez leur somme s. 3\/ En permutant ces 3 chiffres, formez les 6 nombres possibles inf\u00e9rieurs \u00e0 1 000. 4\/ Calculez la somme S de ces 6 nombres. 5\/ D\u00e9montrez que le quotient de S par s est toujours de 222. R\u00e9ponse : &#8230; <a title=\"8\u00b0\/ Les r\u00e9sultats surprises :\" class=\"read-more\" href=\"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/8-les-resultats-surprises\/\" aria-label=\"En savoir plus sur 8\u00b0\/ Les r\u00e9sultats surprises :\">Lire la suite<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-10596","page","type-page","status-publish"],"_links":{"self":[{"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/pages\/10596","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/comments?post=10596"}],"version-history":[{"count":0,"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/pages\/10596\/revisions"}],"wp:attachment":[{"href":"https:\/\/trabucaire.pages-perso.free.fr\/index.php\/wp-json\/wp\/v2\/media?parent=10596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}