{"id":60816,"date":"2020-07-20T12:15:32","date_gmt":"2020-07-20T11:15:32","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=60816"},"modified":"2022-07-27T10:32:33","modified_gmt":"2022-07-27T09:32:33","slug":"cours-en-ligne-pieges-conditions-minimales","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pieges-conditions-minimales\/","title":{"rendered":"Questions pi\u00e8ges sur les conditions minimales"},"content":{"rendered":"<div class=\"Latex_page\">\n<section class=\"has_ae_slider elementor-element elementor-section-full_width elementor-reverse-mobile elementor-section-stretched elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default elementor-section elementor-top-section\">\n<div class=\"elementor-container elementor-column-gap-no\">\n<div class=\"elementor-row\">\n<div class=\"elementor-column-wrap elementor-element-populated colone_elementor\">\n<p style=\"text-align: justify;\">\t\t<div data-elementor-type=\"page\" data-elementor-id=\"25858\" class=\"elementor elementor-25858\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-2f2a024 elementor-section-content-bottom elementor-hidden-mobile elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"2f2a024\" data-element_type=\"section\" id=\"sticky_sidebar\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-77f2068 sticky_badeau_colone strick_col ae-bg-gallery-type-default\" data-id=\"77f2068\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-bd3aa6a elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"bd3aa6a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-d2cf1a3 ae-bg-gallery-type-default\" data-id=\"d2cf1a3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-00f6d11 elementor-widget elementor-widget-text-editor\" data-id=\"00f6d11\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: center;\">Cherchez et trouvez les meilleurs professeurs particuliers \u00e0 domicile et en ligne<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5f90151 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"5f90151\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/toutes-matieres\/tous-niveaux\/france\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Professeur particulier<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-c613d21 elementor-widget elementor-widget-spacer\" data-id=\"c613d21\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-675cc7f elementor-widget elementor-widget-image\" data-id=\"675cc7f\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-image\">\n\t\t\t\t\t\t\t\t\t\t\t\t<img width=\"295\" height=\"197\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2017\/11\/home-grid-cours-particuliers-lycee.jpg\" class=\"attachment-large size-large wp-image-17136\" alt=\"Prof particulier au lyc\u00e9e\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-327bb4e elementor-section-content-bottom elementor-hidden-desktop elementor-hidden-tablet elementor-section-full_width elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"327bb4e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3f3268c ae-bg-gallery-type-default\" data-id=\"3f3268c\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-747ff4f elementor-section-full_width elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"747ff4f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-7b37226 ae-bg-gallery-type-default\" data-id=\"7b37226\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-732d0af elementor-widget elementor-widget-text-editor\" data-id=\"732d0af\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: center;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Find the <\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">answers, all the courses and the annals<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"> on our <\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">free application <\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/strong> <strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">PrepApp<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/strong><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-c35c2f9 elementor-widget elementor-widget-image\" data-id=\"c35c2f9\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-image\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/prepapp\/\" target=\"_blank\">\n\t\t\t\t\t\t\t<img width=\"381\" height=\"109\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2019\/05\/applestore-1.png\" class=\"attachment-large size-large wp-image-25781\" alt=\"T\u00e9l\u00e9charger l&#039;application dans l&#039;Apple Store\" loading=\"lazy\" srcset=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2019\/05\/applestore-1.png 381w, https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2019\/05\/applestore-1-300x86.png 300w\" sizes=\"(max-width: 381px) 100vw, 381px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5803b9d elementor-widget elementor-widget-image\" data-id=\"5803b9d\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-image\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/prepapp\/\" target=\"_blank\">\n\t\t\t\t\t\t\t<img width=\"564\" height=\"167\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2019\/05\/playstore.png\" class=\"attachment-large size-large wp-image-25780\" alt=\"Google Play PrepApp\" loading=\"lazy\" srcset=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2019\/05\/playstore.png 564w, https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2019\/05\/playstore-300x89.png 300w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ddd2148 elementor-widget elementor-widget-image\" data-id=\"ddd2148\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-image\">\n\t\t\t\t\t\t\t\t\t\t\t\t<img width=\"1024\" height=\"778\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2019\/05\/sidebar-prepapp.jpg\" class=\"attachment-large size-large wp-image-58917\" alt=\"PrepApp appli mobile de Groupe R\u00e9ussite\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-column-wrap elementor-element-populated colone_latex\">\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<div class=\"elementor-text-editor elementor-clearfix\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: justify;\">\n<h1 class=\"Latex_page_title\">Questions pi\u00e8ges sur les conditions minimales au Tage Mage<\/h1>\n<\/div>\n<p class=\"colone_latex_ancres\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: center;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-conditions-minimales\/\">R\u00e9sum\u00e9 de cours<\/a> <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pieges-conditions-minimales\/\">Exercices et corrig\u00e9s<\/a><\/p>\n<p class=\"colone_latex_ancres\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: center;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Cours en ligne du Tage Mage<\/a><\/p>\n<p style=\"text-align: justify;\">Cette page d&rsquo;exercices est utile pour tout \u00e9l\u00e8ve qui souhaite pr\u00e9parer le Tage Mage et r\u00e9ussir le sous test de <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-conditions-minimales\/\">conditions minimales<\/a>.<\/p>\n<h2 class=\"p3\" style=\"text-align: justify;\"><b>Question 1 : ne pas se pr\u00e9cipiter en conditions minimales<\/b><\/h2>\n<p class=\"p3\" style=\"text-align: justify;\">Combien de temps Luang a-t-il mis pour aller chez ses grands parents\u00a0?<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">(1) Si sa <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-vitesse\/\">vitesse<\/a> avait \u00e9t\u00e9 sup\u00e9rieure d\u2019un tiers, il aurait mis 3h pour s\u2019y rendre.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">(2) Il a roul\u00e9 \u00e0 une vitesse <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-moyenne-arithmetique-moyenne-ponderee\/\">moyenne<\/a> de 120 km\/h.<\/p>\n<h2 class=\"p1\" style=\"text-align: justify;\"><b>Question 2 : on liste ou pas sur les conditions minimales ? (1\/2)<\/b><\/h2>\n<p class=\"p1\" style=\"text-align: justify;\">Quelle est la valeur du nombre M \u00e0 trois chiffres\u00a0?<\/p>\n<p class=\"p1\" style=\"text-align: justify;\">(1) M est le cube d\u2019un nombre entier.<\/p>\n<p class=\"p1\" style=\"text-align: justify;\">(2) La somme des chiffres qui composent M vaut 8.<\/p>\n\t\t<div data-elementor-type=\"section\" data-elementor-id=\"45514\" class=\"elementor elementor-45514\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-4ac65c50 elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"4ac65c50\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-53dd47c3 ae-bg-gallery-type-default\" data-id=\"53dd47c3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2f9ed700 elementor-headline--style-highlight elementor-widget elementor-widget-animated-headline\" data-id=\"2f9ed700\" data-element_type=\"widget\" data-settings=\"{&quot;highlighted_text&quot;:&quot;test du Tage Mage ?&quot;,&quot;headline_style&quot;:&quot;highlight&quot;,&quot;marker&quot;:&quot;circle&quot;,&quot;loop&quot;:&quot;yes&quot;,&quot;highlight_animation_duration&quot;:1200,&quot;highlight_iteration_delay&quot;:8000}\" data-widget_type=\"animated-headline.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-headline\">\n\t\t\t\t\t<span class=\"elementor-headline-plain-text elementor-headline-text-wrapper\">Tu veux r\u00e9ussir au<\/span>\n\t\t\t\t<span class=\"elementor-headline-dynamic-wrapper elementor-headline-text-wrapper\">\n\t\t\t\t\t<span class=\"elementor-headline-dynamic-text elementor-headline-text-active\">test du Tage Mage ?<\/span>\n\t\t\t\t<\/span>\n\t\t\t\t<\/h3>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-17b8921 elementor-position-left elementor-vertical-align-middle elementor-view-default elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"17b8921\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span class=\"elementor-icon elementor-animation-\" >\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-check-square\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\t\t\t\t<h4 class=\"elementor-icon-box-title\">\n\t\t\t\t\t<span  >\n\t\t\t\t\t\tR\u00e9vise en autonomie avec les annales\t\t\t\t\t<\/span>\n\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8201df5 elementor-position-left elementor-vertical-align-middle elementor-view-default elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"8201df5\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span class=\"elementor-icon elementor-animation-\" >\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-square\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\t\t\t\t<h4 class=\"elementor-icon-box-title\">\n\t\t\t\t\t<span  >\n\t\t\t\t\t\tR\u00e9serve ta place \u00e0 notre Pr\u00e9pa Tage Mage\t\t\t\t\t<\/span>\n\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-133ce7a5 elementor-position-left elementor-vertical-align-middle elementor-view-default elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"133ce7a5\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span class=\"elementor-icon elementor-animation-\" >\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-square\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\t\t\t\t<h4 class=\"elementor-icon-box-title\">\n\t\t\t\t\t<span  >\n\t\t\t\t\t\tPasse un test blanc et optimise tes chances\t\t\t\t\t<\/span>\n\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1c15dc41 elementor-widget elementor-widget-text-editor\" data-id=\"1c15dc41\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"color: #163153;\">Les \u00e9l\u00e8ves que nous accompagnons obtiennent un <strong>taux de r\u00e9ussite de 98%<\/strong> et nous en <strong>remercient beaucoup.<\/strong><\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-3efad372 ae-bg-gallery-type-default\" data-id=\"3efad372\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-65dd4d13 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"65dd4d13\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/toutes-matieres\/tage-mage\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-lg\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers Tage Mage<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7af8a047 elementor-widget elementor-widget-text-editor\" data-id=\"7af8a047\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: center;\"><b>Avis Google France <br \/><\/b><span style=\"color: #e5a430;\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n<h2 class=\"p1\" style=\"text-align: justify;\"><b>Question 3\u00a0: on liste ou pas\u00a0? (2\/2)<\/b><\/h2>\n<p class=\"p1\" style=\"text-align: justify;\">X est un nombre entier naturel \u00e0 trois chiffres. Quel est ce nombre\u00a0?<\/p>\n<p class=\"p1\" style=\"text-align: justify;\">(1) X est le cube d\u2019un nombre entier.<\/p>\n<p class=\"p1\" style=\"text-align: justify;\">(2) La somme des chiffres de X est \u00e9gale \u00e0 8.<\/p>\n<h2 class=\"p1\" style=\"text-align: justify;\"><b>Question 4 : un mot peut faire la diff\u00e9rence sur les conditions minimles<\/b><\/h2>\n<p class=\"p1\" style=\"text-align: justify;\">On sait que 6<i>x<\/i> + 11<i>y<\/i> = 45, combien vaut y\u00a0?<\/p>\n<p class=\"p1\" style=\"text-align: justify;\">(1) <i>x<\/i> et <i>y<\/i> sont deux entiers naturels.<\/p>\n<p class=\"p1\" style=\"text-align: justify;\">(1) 2<i>x<\/i> + <i>y<\/i> = 7<\/p>\n<h2 class=\"p1\" style=\"text-align: justify;\"><b>Question 5 : information inutile et conditions minimales<\/b><\/h2>\n<p class=\"p1\" style=\"text-align: justify;\">Que vaut le c\u00f4t\u00e9 du carr\u00e9\u00a0?<\/p>\n<p class=\"p1\" style=\"text-align: justify;\">(1) Si on double son c\u00f4t\u00e9, on quadruple sa surface.<\/p>\n<p class=\"p1\" style=\"text-align: justify;\">(2) Ce carr\u00e9 peut \u00eatre inscrit dans un cercle de rayon 5 cm.<\/p>\n<h2 class=\"p1\" style=\"text-align: justify;\"><b>Question 6\u00a0: R\u00e9pondre non c\u2019est r\u00e9pondre !<\/b><\/h2>\n<p class=\"p1\" style=\"text-align: justify;\">X est un <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-series-lettres-nombres\/\">nombre<\/a> entier positif. Est-il pair\u00a0?<\/p>\n<p class=\"p1\" style=\"text-align: justify;\">(1) X est divisible par 7<\/p>\n<p class=\"p1\" style=\"text-align: justify;\">(2) Le carr\u00e9 de X est un nombre impair<\/p>\n<h2 class=\"p1\" style=\"text-align: justify;\"><b>Corrig\u00e9 Question 1\u00a0<\/b><\/h2>\n<p class=\"p3\" style=\"text-align: justify;\"><strong>Rappel :<\/strong><\/p>\n<p class=\"p3\" style=\"text-align: justify;\">\u2022Si on <b>augmente<\/b> une quantit\u00e9 de la moiti\u00e9, elle est multipli\u00e9e par <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-626bdb3128c64a17a70ddc1892890dd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#50;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#40;&#49;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"89\" style=\"vertical-align: -12px;\"\/><\/p>\n<p class=\"p3\" style=\"text-align: justify;\">\u2022Si on <b>augmente<\/b> une quantit\u00e9 d\u2019un quart, elle est multipli\u00e9e par <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8fa9a17a4ebe8b79f9e22041283e508a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#52;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#40;&#49;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"89\" style=\"vertical-align: -12px;\"\/><\/p>\n<p class=\"p3\" style=\"text-align: justify;\">\u2022Si on <b>baisse<\/b> une quantit\u00e9 d\u2019un cinqui\u00e8me, elle est multipli\u00e9e par <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4b54ad077ddd47a19807a0f22d2a5179_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#53;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#40;&#49;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#125;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"89\" style=\"vertical-align: -12px;\"\/><\/p>\n<p class=\"p3\" style=\"text-align: justify;\">On a l\u2019impression que l\u2019on a besoin de la vitesse et sans doute de la distance pour calculer le temps. On oublie souvent un \u00e9l\u00e9ment fondamental des vitesses\u00a0: Le temps mis est <b>inversement<\/b> proportionnel \u00e0 la vitesse. Si on va <b>2 fois plus vite<\/b>, on met <b>2 fois moins de temps<\/b>.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Autrement dit, si on sait par que nombre est multipli\u00e9 la vitesse, on saura par combien est multipli\u00e9 le temps\u00a0: l\u2019inverse de ce nombre.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">\u00c9tudions la proposition (1). Si sa vitesse est sup\u00e9rieure d\u2019un tiers, c\u2019est qu\u2019elle augmente d\u2019un tiers, donc est multipli\u00e9e par <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-484c2b67c0bde037b82b6ec1f75b61db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/>. Or le temps est inversement <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-regle-de-trois\/\">proportionnel<\/a> \u00e0 la vitesse donc :<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Si <b>Vitesse <\/b>x <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-484c2b67c0bde037b82b6ec1f75b61db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> alors <b>temps <\/b>x <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c5ebd9d3766fcdac5860e5f2039b3782_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/>.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Pour d\u00e9terminer le temps qu\u2019a mis Luang pour aller chez ses grands parents\u00a0:<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Autrement dit il a mis 2h15mn.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">La proposition (2) seule ne permet \u00e9videmment pas de r\u00e9pondre.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Le jour de l\u2019\u00e9preuve, on ne va au bout des calculs, d\u00e8s qu\u2019on se rend compte qu\u2019il suffit de multiplier les 3h par <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c5ebd9d3766fcdac5860e5f2039b3782_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> on s\u2019arr\u00eate.<\/p>\n<h2 class=\"p3\" style=\"text-align: justify;\"><b>Corrig\u00e9 Question 2\u00a0<\/b><\/h2>\n<p class=\"p3\" style=\"text-align: justify;\">Il est indispensable de parfaitement conna\u00eetre les cubes jusqu\u2019\u00e0 11<sup>3<\/sup> = 1 331.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Information (1) seule ne suffit pas mais une question se pose\u00a0: doit-on lister ces cubes pour les avoir en visuel\u00a0? Il le fallait ici, les cubes \u00e0 3 chiffres sont\u00a0:<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">125 216 343 512 729<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Information (2) seule ne suffit pas, \u00e9norm\u00e9ment de possibilit\u00e9s (440\u00a0; 404\u00a0: 701 etc\u2026)<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">En les combinant on ne peut toujours pas r\u00e9pondre\u00a0: il en reste deux en lice\u00a0: 125 et 512.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Ce sont deux cubes et la somme de leurs chiffres vaut \u00e9galement 8.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">2 r\u00e9ponses diff\u00e9rentes = pas de r\u00e9ponse. Donc E.<\/p>\n<h2 class=\"p3\" style=\"text-align: justify;\"><b>Corrig\u00e9 Question 3\u00a0<\/b><\/h2>\n<p class=\"p3\" style=\"text-align: justify;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-comprehension-texte\/\">Compr\u00e9hension<\/a> de l\u2019\u00e9nonc\u00e9\u00a0:<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">X est compris entre 100 et 999<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Information (1) <b>seule<\/b> ne suffit pas. Il y a plusieurs de possibilit\u00e9s\u00a0: <b>125<\/b> (5<sup>3<\/sup>) ou <b>216<\/b> (6<sup>3<\/sup>) ou <b>343<\/b> (7<sup>3<\/sup>) ou <b>512<\/b> (8<sup>3<\/sup>) ou <b>729<\/b> (9<sup>3<\/sup>). On ne peut pas trancher.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Information (2) <b>seule<\/b> ne suffit pas. Trop de possibilit\u00e9s\u00a0: <b>224<\/b> (2+2+4 = 8) ou <b>530<\/b> ou <b>800<\/b> etc.Informations (1) et (2) <b>ensemble<\/b> ne suffisent pas.<\/p>\n<p class=\"p5\" style=\"text-align: justify;\">On sait \u00e0 pr\u00e9sent que X est le cube d\u2019un nombre entier et que la somme de ses chiffres vaut 8. Il reste deux possibilit\u00e9s\u00a0: 125 ou 512.<\/p>\n<h2 class=\"p3\" style=\"text-align: justify;\"><b>Corrig\u00e9 Question 4\u00a0<\/b><\/h2>\n<p class=\"p3\" style=\"text-align: justify;\">Le mot ou plut\u00f4t les mots qui font la diff\u00e9rence\u00a0: <b>entiers naturels<\/b>. Avec ces mots, une seule \u00e9quation \u00e0 2 inconnues peut \u00eatre r\u00e9solue\u00a0!<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">L\u2019information (1) permet de r\u00e9pondre\u00a0: <i>x<\/i> et <i>y<\/i> sont positifs et entier, il n\u2019y a pas \u00e9norm\u00e9ment de possibilit\u00e9s, essayons-les\u00a0:<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Si <i>x<\/i> = 1, l\u2019\u00e9quation devient 6 + 11<i>y<\/i> = 45 soit 11<i>y<\/i> = 39, pas de valeur de y qui fonctionne.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Si <i>x<\/i> = 2, l\u2019\u00e9quation devient 12 + 11<i>y<\/i> = 45 soit 11<i>y<\/i> = 33, et donc <i>y<\/i> = 3.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">On pourrait rapidement tester avec <i>x<\/i> = 3 et 4 pour se convaincre qu\u2019il n\u2019y pas d\u2019autre couple qui fonctionne.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">On a pu r\u00e9pondre, <i>y<\/i> vaut 3<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">L\u2019information (2) seule permet \u00e9galement de r\u00e9pondre.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">On obtient un syst\u00e8me \u00e0 2 \u00e9quations :<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4cc791c115c52b4eea239ac6a2267dd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#120;&#43;&#49;&#49;&#121;&#61;&#52;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"108\" style=\"vertical-align: -4px;\"\/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f6eee09e6757335b61d3135eead59dc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#43;&#121;&#61;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"83\" style=\"vertical-align: -4px;\"\/><\/p>\n<p class=\"p3\" style=\"text-align: justify;\">On pourrait commencer la r\u00e9solution et vite s\u2019arr\u00eater quand on se rend compte qu\u2019il y a bien une unique solution avec <i>x<\/i> = 2 et <i>y<\/i> = 3<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Chacune des informations a permis de r\u00e9pondre \u00e0 la question, r\u00e9ponse D.<\/p>\n\t\t<div data-elementor-type=\"section\" data-elementor-id=\"127774\" class=\"elementor elementor-127774\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-5a7b6a2a elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"5a7b6a2a\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-749af387 ae-bg-gallery-type-default\" data-id=\"749af387\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1b4ed465 elementor-widget elementor-widget-heading\" data-id=\"1b4ed465\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS PARTICULIERS EN LIGNE<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-16d47760 elementor-widget elementor-widget-heading\" data-id=\"16d47760\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Nous avons s\u00e9lectionn\u00e9 pour vous les meilleurs professeurs particuliers.<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-21a162bf elementor-widget elementor-widget-heading\" data-id=\"21a162bf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">POUR ACC\u00c9L\u00c9RER MA PROGRESSION<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5600477e elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"5600477e\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-en-ligne\/toutes-matieres\/tous-niveaux\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers en ligne<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1c7a7876 elementor-widget elementor-widget-text-editor\" data-id=\"1c7a7876\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><b>Avis Google France <\/b><span style=\"color: #e5a430;\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-2aa12288 ae-bg-gallery-type-default\" data-id=\"2aa12288\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n<h2 class=\"p3\" style=\"text-align: justify;\"><b>Corrig\u00e9 Question 5\u00a0<\/b><\/h2>\n<p class=\"p3\" style=\"text-align: justify;\">L\u2019information (1) est inutile, c\u2019est du cours\u00a0:<\/p>\n<p style=\"text-align: justify;\"><strong>Agrandissement r\u00e9duction :\u00a0<\/strong><\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Si les longueurs sont multipli\u00e9es par <b><i>k<\/i><\/b>, alors\u00a0:<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">\u2022Aires<span class=\"Apple-converted-space\">\u00a0 <\/span><b><i>k<\/i><\/b><span class=\"s1\"><b><sup>2<\/sup><\/b><\/span><\/p>\n<p class=\"p3\" style=\"text-align: justify;\">\u2022Volumes<span class=\"Apple-converted-space\">\u00a0 <\/span><b><i>k<\/i><\/b><span class=\"s1\"><b><sup>3<\/sup><\/b><\/span><\/p>\n<p class=\"p1\" style=\"text-align: justify;\">On nous dit que le c\u00f4t\u00e9 est multipli\u00e9 par 2, donc on sait que sa surface (son aire) est multipli\u00e9e par 2<sup>2<\/sup> = 4 donc une surface quadrupl\u00e9e. Non seulement cette information ne permet pas de r\u00e9pondre mais elle est inutile.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">L\u2019information (2) permet de r\u00e9pondre. C\u2019est un sur classique des questions du Tage Mage. Si le carr\u00e9 est inscrit dans un cercle alors le diam\u00e8tre du cercle repr\u00e9sente la diagonale du carr\u00e9. Autrement dit la diagonale du carr\u00e9 vaut 10 cm (le double du rayon). Et le c\u00f4t\u00e9 du carr\u00e9 vaut <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7d60ea40a0c94eb101beb9d5712bcbdf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#125;&#123;&#92;&#115;&#113;&#114;&#116;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"24\" style=\"vertical-align: -16px;\"\/>. R\u00e9ponse B.<\/p>\n<h2 class=\"p3\" style=\"text-align: justify;\"><b>Corrig\u00e9 Question 6 : R\u00e9pondre non c\u2019est r\u00e9pondre !<\/b><\/h2>\n<p class=\"p3\" style=\"text-align: justify;\">X est un nombre entier positif. Est-il pair\u00a0?<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">(1) X est divisible par 7<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">(2) Le carr\u00e9 de X est un nombre impair<\/p>\n<p class=\"p3\" style=\"text-align: justify;\"><b>Question 6\u00a0: R\u00e9ponse B<\/b><\/p>\n<p class=\"p3\" style=\"text-align: justify;\"><b>Rappel :<\/b><\/p>\n<ul>\n<li class=\"p3\" style=\"text-align: justify;\">Un nombre et son carr\u00e9 ont la m\u00eame parit\u00e9 : tous les deux pairs ou tous les deux impairs.<\/li>\n<li class=\"p3\" style=\"text-align: justify;\">Un nombre est divisible par 7 signifie que c\u2019est un multiple de 7. Autrement dit il est dans la table de 7. Ou encore il s\u2019\u00e9crit 7\u00d7N, avec N un nombre entier.<\/li>\n<\/ul>\n<p class=\"p3\" style=\"text-align: justify;\">X est un multiple de 7 ne nous renseigne pas sur sa parit\u00e9. Pour s\u2019en convaincre, il faut 2 exemples\u00a0: un qui \u00ab\u00a0fonctionne\u00a0\u00bb et un qui ne \u00ab\u00a0fonctionne\u00a0\u00bb pas\u00a0:<\/p>\n<ul class=\"ul1\" style=\"text-align: justify;\">\n<li class=\"li3\">Si X = 21. C\u2019est bien un multiple de 7 et X est impair<\/li>\n<li class=\"li3\">Si X = 14. C\u2019est un multiple de 7 et X est pair<\/li>\n<\/ul>\n<p class=\"p5\" style=\"text-align: justify;\">On ne peut donc pas conclure quant \u00e0 la parit\u00e9 de X, il peut \u00eatre pair comme impair\u00a0: il n\u2019y a pas assez d\u2019informations.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\">Information (2) <b>seule<\/b> suffit pour r\u00e9pondre.<\/p>\n<p class=\"p5\" style=\"text-align: justify;\">Dans le rappel ci-dessus, il est dit qu\u2019un nombre et son carr\u00e9 ont la m\u00eame parit\u00e9. Or ici, on nous dit que le carr\u00e9 de X, soit X<sup>2<\/sup> est impair. Donc X lui m\u00eame est impair. On peut r\u00e9pondre \u00e0 la question\u00a0: non X n\u2019est pas pair.<\/p>\n<p class=\"p3\" style=\"text-align: justify;\"><b>Remarque :<\/b><\/p>\n<p class=\"p3\" style=\"text-align: justify;\">R\u00e9pondre \u00e0 la question ne signifie pas r\u00e9pondre oui absolument. R\u00e9pondre non c\u2019est r\u00e9pondre !<\/p>\n<p style=\"text-align: justify;\">Pour \u00eatre certain de bien r\u00e9ussir le sous-test sur les conditions minimales, certaines notions de math\u00e9matiques du sous-test 2 sur le calcul doivent \u00eatre parfaitement assimil\u00e9es, dont :<\/p>\n<ul>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-probabilites\/\">les probabilit\u00e9s<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-moyenne-arithmetique-moyenne-ponderee\/\">les moyennes<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-pythagore\/\">le th\u00e9or\u00e8me de Pythagore<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\">le th\u00e9or\u00e8me de Thal\u00e8s<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-racines-carrees\/\">les racines carr\u00e9es<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Questions pi\u00e8ges sur les conditions minimales au Tage Mage R\u00e9sum\u00e9 de cours Exercices et corrig\u00e9s Cours en ligne du Tage Mage Cette page d&rsquo;exercices est utile pour tout \u00e9l\u00e8ve qui souhaite pr\u00e9parer le Tage Mage et r\u00e9ussir le sous test de conditions minimales. Question 1 : ne pas se pr\u00e9cipiter en conditions minimales Combien de [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.2.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Exemples questions pi\u00e8ges Tage Mage conditions minimales<\/title>\n<meta name=\"description\" content=\"D\u00e9couvrez des exemples de questions pi\u00e8ges r\u00e9solus de conditions minimales au Tage Mage pour vous exercer et vous am\u00e9liorer.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pieges-conditions-minimales\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Exemples questions pi\u00e8ges Tage Mage conditions minimales\" \/>\n<meta property=\"og:description\" content=\"D\u00e9couvrez des exemples de questions pi\u00e8ges r\u00e9solus de conditions minimales au Tage Mage pour vous exercer et vous am\u00e9liorer.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pieges-conditions-minimales\/\" \/>\n<meta property=\"og:site_name\" content=\"Groupe R\u00e9ussite\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/\" \/>\n<meta property=\"article:modified_time\" content=\"2022-07-27T09:32:33+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png\" \/>\n\t<meta property=\"og:image:width\" content=\"170\" \/>\n\t<meta property=\"og:image:height\" content=\"180\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@GroupeReussite\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pieges-conditions-minimales\/\",\"url\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pieges-conditions-minimales\/\",\"name\":\"Exemples questions pi\u00e8ges Tage Mage conditions minimales\",\"isPartOf\":{\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/#website\"},\"datePublished\":\"2020-07-20T11:15:32+00:00\",\"dateModified\":\"2022-07-27T09:32:33+00:00\",\"description\":\"D\u00e9couvrez des exemples de questions pi\u00e8ges r\u00e9solus de conditions minimales au Tage Mage pour vous exercer et vous am\u00e9liorer.\",\"breadcrumb\":{\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pieges-conditions-minimales\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pieges-conditions-minimales\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pieges-conditions-minimales\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/groupe-reussite.fr\/ressources\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Questions pi\u00e8ges sur les conditions minimales\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/#website\",\"url\":\"https:\/\/groupe-reussite.fr\/ressources\/\",\"name\":\"Groupe R\u00e9ussite - 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