{"id":52564,"date":"2020-06-08T13:40:01","date_gmt":"2020-06-08T12:40:01","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=52564"},"modified":"2026-10-22T12:41:53","modified_gmt":"2026-10-22T11:41:53","slug":"cours-en-ligne-exercices-corriges-pourcentages","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pourcentages\/","title":{"rendered":"Pourcentages exercices et corrig\u00e9s"},"content":{"rendered":"<div class=\"Latex_page\"><\/div>\n<div><\/div>\n<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=\"86176\" class=\"elementor elementor-86176\">\n\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-6f9fb2b3 elementor-section-content-bottom elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"6f9fb2b3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5032621c sticky_badeau_colone strick_col ae-bg-gallery-type-default\" data-id=\"5032621c\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\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-611bd75f elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"611bd75f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-55718945 strick_col ae-bg-gallery-type-default\" data-id=\"55718945\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5940f45c elementor-widget elementor-widget-heading\" data-id=\"5940f45c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Cours en ligne Tage Mage <\/a><\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f9bc725 elementor-widget elementor-widget-heading\" data-id=\"f9bc725\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\">Chapitres du sous-test 2 du Tage Mage<\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-56c02cf0 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"56c02cf0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fractions\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Fractions<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-390da5ff elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"390da5ff\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pourcentages\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Pourcentages<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-da8d658 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"da8d658\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-algebre\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Alg\u00e8bre<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-490ac2aa elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"490ac2aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">G\u00e9om\u00e9trie<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3fd40310 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3fd40310\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-vitesse\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Vitesse<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6edf1c7e elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6edf1c7e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-arithmetique\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Arithm\u00e9tique<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f2c805 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4f2c805\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-puissances\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Puissances<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-447b658 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"447b658\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-regle-de-trois\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Proportionnalit\u00e9<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53863aa elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"53863aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-denombrement\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">D\u00e9nombrement<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-11741389 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"11741389\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-probabilites\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Probabilit\u00e9s<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6ace8ace elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6ace8ace\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-moyenne-arithmetique-moyenne-ponderee\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Moyenne<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-13f1db2f elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"13f1db2f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-pythagore\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Th\u00e9or\u00e8me de Pythagore<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-10d04684 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"10d04684\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Th\u00e9or\u00e8me de Thal\u00e8s<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-691a3a8a elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"691a3a8a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-racines-carrees\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Racines Carr\u00e9es<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a5f7bd6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"2a5f7bd6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/nous-contacter\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">CONTACTEZ-NOUS<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-column-wrap elementor-element-populated colone_latex\" style=\"text-align: justify;\">\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;\">\n<h1 class=\"Latex_page_title\" style=\"text-align: center;\">Exercices sur les pourcentages corrig\u00e9s : 12 exercices pour r\u00e9ussir le Tage Mage<\/h1>\n<p><em>Par Seda Biber, mis \u00e0 jour le 22\/10\/2026<\/em><\/p>\n<\/div>\n<p dir=\"ltr\" style=\"text-align: justify;\">Pour r\u00e9ussir un exercice de <strong>pourcentage<\/strong>, on rep\u00e8re d&rsquo;abord ce que l&rsquo;on cherche : une partie, un pourcentage ou le total. Prendre t % d&rsquo;un nombre revient \u00e0 le multiplier par <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-522cc01c7698d56f4a7989223448ed5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#116;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"27\" style=\"vertical-align: -12px;\"\/> : 15 % de 60, c&rsquo;est <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d4888787b752508cfcf22515415cef39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#48;&#123;&#44;&#125;&#49;&#53;&#61;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"104\" style=\"vertical-align: -4px;\"\/>. Pour une <strong>augmentation<\/strong> ou une <strong>diminution<\/strong>, on multiplie par le <strong>coefficient multiplicateur<\/strong> : <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-438a5fc1b1fc9832cb211c986310c34e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#116;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"58\" style=\"vertical-align: -12px;\"\/> pour une hausse, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7b087acff6fa44837919fb9214e9bfb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#116;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"58\" style=\"vertical-align: -12px;\"\/> pour une baisse.<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">Au <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Tage Mage<\/a>, le sous-test 2 de calcul porte sur des connaissances de niveau troisi\u00e8me, \u00e0 traiter en 20 minutes et sans calculatrice. Ces exercices de pourcentages de 3e servent donc aussi \u00e0 pr\u00e9parer le brevet. Les 12 exercices corrig\u00e9s ci-dessous suivent une progression : calcul de t\u00eate, augmentation et diminution, taux d&rsquo;\u00e9volution, puis QCM au format du test. Pour revoir les formules avant de vous lancer, consultez le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pourcentages\/\">cours sur les pourcentages<\/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-pourcentages\/\">R\u00e9sum\u00e9 de cours<\/a> <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pourcentages\/\">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<\/div>\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<h2 dir=\"ltr\">Niveau 1 : calculer un pourcentage de t\u00eate<\/h2>\n<p dir=\"ltr\">La calculatrice est interdite le jour du test. Ces trois exercices installent les automatismes : prendre 10 %, 25 % ou 50 % d&rsquo;un nombre, calculer un pourcentage et retrouver un total.<\/p>\n<h3 dir=\"ltr\">Exercice 1 : calcul mental<\/h3>\n<p dir=\"ltr\">Calculez de t\u00eate : a) 10 % de 70 ; b) 50 % de 36 ; c) 25 % de 48 ; d) 1 % de 350.<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9.<\/strong><\/p>\n<ul>\n<li>a) 10 %, c&rsquo;est diviser par 10 : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fbb7f80db158339f5514c93faa8434bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#48;&#92;&#100;&#105;&#118;&#32;&#49;&#48;&#61;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"90\" style=\"vertical-align: -1px;\"\/>.<\/li>\n<li>b) 50 %, c&rsquo;est la moiti\u00e9 : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e181bfaa36c0a6acf4d39acaffc1c5b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#54;&#92;&#100;&#105;&#118;&#32;&#50;&#61;&#49;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"90\" style=\"vertical-align: -1px;\"\/>.<\/li>\n<li>c) 25 %, c&rsquo;est le quart : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-dfd6df7e7a3b5814320b957cc1070a4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#56;&#92;&#100;&#105;&#118;&#32;&#52;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"89\" style=\"vertical-align: -1px;\"\/>.<\/li>\n<li>d) 1 %, c&rsquo;est diviser par 100 : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1d775bb4a52d60c31c28eb90f7cae6fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#53;&#48;&#92;&#100;&#105;&#118;&#32;&#49;&#48;&#48;&#61;&#51;&#123;&#44;&#125;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"120\" style=\"vertical-align: -4px;\"\/>.<\/li>\n<\/ul>\n<h3 dir=\"ltr\">Exercice 2 : calculer un pourcentage<\/h3>\n<p dir=\"ltr\">Dans une classe de 25 \u00e9l\u00e8ves, 6 viennent au coll\u00e8ge \u00e0 v\u00e9lo. Quel pourcentage des \u00e9l\u00e8ves cela repr\u00e9sente-t-il ?<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9.<\/strong> On divise la partie par le total : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c61b4664d5fe58564b2716a1d4dc9d2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#125;&#123;&#50;&#53;&#125;&#61;&#48;&#123;&#44;&#125;&#50;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"75\" style=\"vertical-align: -12px;\"\/>. Or <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fdb61539170c8cff93d31dbcb8b8aff8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#50;&#52;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#52;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"84\" style=\"vertical-align: -12px;\"\/> : 24 % des \u00e9l\u00e8ves viennent \u00e0 v\u00e9lo.<\/p>\n<h3 dir=\"ltr\">Exercice 3 : retrouver le total, un classique<\/h3>\n<p dir=\"ltr\">L&rsquo;an dernier, 20 % des \u00e9l\u00e8ves de 3e d&rsquo;un coll\u00e8ge n&rsquo;ont pas obtenu leur brevet, soit 27 \u00e9l\u00e8ves. Combien y avait-il d&rsquo;\u00e9l\u00e8ves de 3e ?<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9.<\/strong> 20 % = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-98cae5968483fcf564de11e0b139ea9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> (pour revoir cette \u00e9criture, consultez le cours sur les <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fractions\/\">fractions<\/a>) : les 27 \u00e9l\u00e8ves repr\u00e9sentent un cinqui\u00e8me du total. Le total vaut donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4503b5cf08a728412277967829b31864_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#55;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#53;&#61;&#49;&#51;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"98\" style=\"vertical-align: 0px;\"\/> \u00e9l\u00e8ves.<\/p>\n<p dir=\"ltr\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"188475\" class=\"elementor elementor-188475\">\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-692bf02f 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=\"692bf02f\" data-element_type=\"section\" data-e-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<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-3124f641 ae-bg-gallery-type-default\" data-id=\"3124f641\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-13b8fcf1 elementor-widget elementor-widget-heading\" data-id=\"13b8fcf1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS DE MATHS<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-78991b59 elementor-widget elementor-widget-heading\" data-id=\"78991b59\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Nous avons recrut\u00e9 pour vous les<b> meilleurs professeurs particuliers de maths<\/b><\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7d63a247 elementor-widget elementor-widget-heading\" data-id=\"7d63a247\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">S'EXERCER ET APPRENDRE<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-685c251 elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"685c251\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Professeur particulier maths<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7a606128 elementor-widget elementor-widget-text-editor\" data-id=\"7a606128\" data-element_type=\"widget\" data-e-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\t<p style=\"text-align: left;\"><b>Avis Google France <\/b><span style=\"color: #e5a430;\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,8 sur 5<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\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-229c063a ae-bg-gallery-type-default\" data-id=\"229c063a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\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 dir=\"ltr\">\n<\/div>\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<h2 dir=\"ltr\">Niveau 2 : augmentation et diminution en pourcentage<\/h2>\n<p dir=\"ltr\">Augmenter de t %, c&rsquo;est multiplier par <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-438a5fc1b1fc9832cb211c986310c34e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#116;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"58\" style=\"vertical-align: -12px;\"\/> ; diminuer de t %, c&rsquo;est multiplier par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7b087acff6fa44837919fb9214e9bfb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#116;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"58\" style=\"vertical-align: -12px;\"\/>. Ce nombre s&rsquo;appelle le coefficient multiplicateur : il donne le r\u00e9sultat en une seule op\u00e9ration.<\/p>\n<h3 dir=\"ltr\">Exercice 4 : retrouver le total avec un produit en croix<\/h3>\n<p dir=\"ltr\">\u00c0 la question \u00ab Fumez-vous ? \u00bb, 39 personnes ont r\u00e9pondu non, soit 15 % des personnes interrog\u00e9es. Combien de personnes ont \u00e9t\u00e9 interrog\u00e9es ?<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9.<\/strong> Ici, 100 n&rsquo;est pas un multiple de 15 : on ne peut pas multiplier directement. On utilise la <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-regle-de-trois\/\">r\u00e8gle de trois<\/a> :<\/p>\n<ul>\n<li>15 % repr\u00e9sentent 39 personnes ;<\/li>\n<li>5 % repr\u00e9sentent 3 fois moins, soit <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-412f9f6e3ec1e0b70e6fa74a074167d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#57;&#92;&#100;&#105;&#118;&#32;&#51;&#61;&#49;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"90\" style=\"vertical-align: -1px;\"\/> personnes ;<\/li>\n<li>100 % repr\u00e9sentent 20 fois plus, soit <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-be8a6b342dcb4fe8414c5c1f599105e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#51;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#50;&#48;&#61;&#50;&#54;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"107\" style=\"vertical-align: 0px;\"\/> personnes.<\/li>\n<\/ul>\n<p dir=\"ltr\">260 personnes ont \u00e9t\u00e9 interrog\u00e9es. V\u00e9rification : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1bc755783669eca0b432d4f8723052dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#54;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#48;&#123;&#44;&#125;&#49;&#53;&#61;&#51;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"121\" style=\"vertical-align: -4px;\"\/>.<\/p>\n<h3 dir=\"ltr\">Exercice 5 : appliquer une augmentation<\/h3>\n<p dir=\"ltr\">Un abonnement mensuel \u00e0 45 \u20ac augmente de 12 %. Quel est son nouveau prix ?<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9.<\/strong> On multiplie par le coefficient 1,12 : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d34bcdbeb0baab953831c41c4acb07a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#53;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#123;&#44;&#125;&#49;&#50;&#61;&#53;&#48;&#123;&#44;&#125;&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"135\" style=\"vertical-align: -4px;\"\/>. L&rsquo;abonnement co\u00fbte d\u00e9sormais 50,40 \u20ac.<\/p>\n<h3 dir=\"ltr\">Exercice 6 : appliquer une diminution<\/h3>\n<p dir=\"ltr\">Pendant les soldes, un v\u00e9lo \u00e0 240 \u20ac est vendu avec une r\u00e9duction de 15 %. Quel est son prix sold\u00e9 ?<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9.<\/strong> On multiplie par le coefficient <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b5ce76c84d0b07984c9e14985965fa6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#45;&#48;&#123;&#44;&#125;&#49;&#53;&#61;&#48;&#123;&#44;&#125;&#56;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"115\" style=\"vertical-align: -4px;\"\/> : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3d1d59a10ffd11801bed688523f75680_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#52;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#48;&#123;&#44;&#125;&#56;&#53;&#61;&#50;&#48;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"130\" style=\"vertical-align: -4px;\"\/>. Le v\u00e9lo co\u00fbte 204 \u20ac. On peut aussi calculer la r\u00e9duction, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bdf140ea925bbf5d4c8023b8d1deca4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#52;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#48;&#123;&#44;&#125;&#49;&#53;&#61;&#51;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"121\" style=\"vertical-align: -4px;\"\/> \u20ac, puis la soustraire : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b9ec61eb3568e2fc85e9e0952a1b204e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#52;&#48;&#45;&#51;&#54;&#61;&#50;&#48;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"117\" style=\"vertical-align: 0px;\"\/> \u20ac.<\/p>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> le coefficient multiplicateur devient indispensable d\u00e8s que plusieurs \u00e9volutions s&rsquo;encha\u00eenent, comme dans l&rsquo;exercice 9.<\/div>\n<h2 dir=\"ltr\">Niveau 3 : taux d&rsquo;\u00e9volution et valeur de d\u00e9part<\/h2>\n<p dir=\"ltr\">Ces exercices de type brevet font le chemin inverse : \u00e0 partir des valeurs, on retrouve un taux d&rsquo;\u00e9volution ou un prix de d\u00e9part. Le programme de 3e demande de \u00ab traduire une augmentation ou une diminution en pourcentages \u00bb. C&rsquo;est aussi l\u00e0 que se trouvent la plupart des pi\u00e8ges des QCM du Tage Mage.<\/p>\n<h3 dir=\"ltr\">Exercice 7 : calculer un taux d&rsquo;\u00e9volution<\/h3>\n<p dir=\"ltr\">Le club de th\u00e9\u00e2tre d&rsquo;une ville comptait 250 adh\u00e9rents l&rsquo;an dernier et 290 cette ann\u00e9e. De quel pourcentage le nombre d&rsquo;adh\u00e9rents a-t-il augment\u00e9 ?<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9.<\/strong> On divise l&rsquo;\u00e9cart par la valeur de d\u00e9part :<\/p>\n<p dir=\"ltr\" style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1481c640773053e92aa70c5f8152a601_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#57;&#48;&#45;&#50;&#53;&#48;&#125;&#123;&#50;&#53;&#48;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#48;&#125;&#123;&#50;&#53;&#48;&#125;&#61;&#48;&#123;&#44;&#125;&#49;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"186\" style=\"vertical-align: -12px;\"\/><\/p>\n<p dir=\"ltr\">Le nombre d&rsquo;adh\u00e9rents a augment\u00e9 de 16 %.<\/p>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> on divise toujours par la valeur de d\u00e9part, jamais par la valeur d&rsquo;arriv\u00e9e. Diviser 40 par 290 donnerait environ 13,8 %, ce qui est faux.<\/div>\n<h3 dir=\"ltr\">Exercice 8 : retrouver le prix avant r\u00e9duction<\/h3>\n<p dir=\"ltr\">Apr\u00e8s une r\u00e9duction de 25 %, un jeu vid\u00e9o co\u00fbte 63 \u20ac. Quel \u00e9tait son prix avant la r\u00e9duction ?<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9.<\/strong> Le prix de d\u00e9part <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> a \u00e9t\u00e9 multipli\u00e9 par 0,75 : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4923144e6e2e01221616d2e6c7126d37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#55;&#53;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#112;&#61;&#54;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"104\" style=\"vertical-align: -4px;\"\/>. On divise donc par 0,75 : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8d1bb29f3cacdc43b60c02ae27ec0665_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#51;&#125;&#123;&#48;&#123;&#44;&#125;&#55;&#53;&#125;&#61;&#56;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"111\" style=\"vertical-align: -16px;\"\/>. Le jeu co\u00fbtait 84 \u20ac. V\u00e9rification : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2f439a8cb452ab170a90e80c3ac768cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#52;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#48;&#123;&#44;&#125;&#55;&#53;&#61;&#54;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"113\" style=\"vertical-align: -4px;\"\/>.<\/p>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> ajouter 25 % au prix sold\u00e9 ne redonne pas le prix de d\u00e9part : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ad813e0d0da2edbcbf3e9decb348af07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#51;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#123;&#44;&#125;&#50;&#53;&#61;&#55;&#56;&#123;&#44;&#125;&#55;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"134\" style=\"vertical-align: -4px;\"\/> \u20ac, et non 84 \u20ac. Les 25 % de r\u00e9duction portaient sur 84 \u20ac, pas sur 63 \u20ac.<\/div>\n<h3 dir=\"ltr\">Exercice 9 : une hausse puis une baisse<\/h3>\n<p dir=\"ltr\">Un manteau co\u00fbte 150 \u20ac. Son prix augmente de 20 %, puis baisse de 15 %. Quel est le prix final ? Quelle est l&rsquo;\u00e9volution globale ?<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9.<\/strong> Apr\u00e8s la hausse : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-44fded2d79fda4b69360319e4229e758_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#53;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#123;&#44;&#125;&#50;&#61;&#49;&#56;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"121\" style=\"vertical-align: -4px;\"\/> \u20ac. Apr\u00e8s la baisse : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4dbca11af2f77ec08ca7f2834d03c2ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#56;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#48;&#123;&#44;&#125;&#56;&#53;&#61;&#49;&#53;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"129\" style=\"vertical-align: -4px;\"\/> \u20ac. On multiplie les coefficients : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-89b72db9a7fc4f3e4fd82f2672cba676_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#123;&#44;&#125;&#50;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#48;&#123;&#44;&#125;&#56;&#53;&#61;&#49;&#123;&#44;&#125;&#48;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"129\" style=\"vertical-align: -4px;\"\/>. Le prix final est de 153 \u20ac, soit une hausse globale de 2 % (et non de 5 %, comme on l&rsquo;obtiendrait en faisant 20 \u2212 15).<\/p>\n<p dir=\"ltr\">Si ces m\u00e9thodes restent fragiles \u00e0 l&rsquo;approche du brevet, un professeur peut les reprendre une \u00e0 une en <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\">cours particuliers de maths<\/a>, ou sur une semaine compl\u00e8te lors d&rsquo;un <a href=\"https:\/\/groupe-reussite.fr\/stages\/toutes-matieres\/3eme\/france\/toutes-periodes\/\">stage de pr\u00e9paration au brevet<\/a>.<\/p>\n<h2 dir=\"ltr\">Niveau 4 : QCM de pourcentages au format du Tage Mage<\/h2>\n<p dir=\"ltr\">Chaque question propose cinq r\u00e9ponses, dont une seule est juste. Une r\u00e9ponse fausse ne retire pas de points : mieux vaut donc r\u00e9pondre \u00e0 toutes les questions. Les pourcentages s&rsquo;y combinent souvent avec l&rsquo;<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-algebre\/\">alg\u00e8bre<\/a> ou l&rsquo;<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-arithmetique\/\">arithm\u00e9tique<\/a>.<\/p>\n<h3 dir=\"ltr\">Exercice 10 : un pourcentage de pourcentage<\/h3>\n<p dir=\"ltr\">Dans un stade, 40 % des places sont r\u00e9serv\u00e9es aux supporters. Parmi ces places, 20 % se trouvent dans la tribune nord, soit 2 000 places. Combien le stade compte-t-il de places ?<\/p>\n<p dir=\"ltr\">A) 12 000 B) 15 000 C) 18 000 D) 25 000 E) 30 000<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9 : r\u00e9ponse D.<\/strong> La tribune nord repr\u00e9sente 20 % <em>de<\/em> 40 % des places : on multiplie les deux pourcentages.<\/p>\n<p dir=\"ltr\" style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d1d156e9e540fd2f9960ec6993e6b4f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#48;&#125;&#123;&#49;&#48;&#48;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#48;&#125;&#123;&#49;&#48;&#48;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#56;&#48;&#48;&#125;&#123;&#49;&#48;&#92;&#44;&#48;&#48;&#48;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#56;&#125;&#123;&#49;&#48;&#48;&#125;&#61;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"242\" style=\"vertical-align: -12px;\"\/> %<\/p>\n<p dir=\"ltr\">Les 2 000 places repr\u00e9sentent donc 8 % du stade. Or <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bef684c87d1ab0c86d7d18d9ae7cf8fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#50;&#123;&#44;&#125;&#53;&#61;&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"113\" style=\"vertical-align: -4px;\"\/> : le total vaut 12,5 fois plus, soit <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1f104eee82abc041990a417b95c62462_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#92;&#44;&#48;&#48;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#50;&#123;&#44;&#125;&#53;&#61;&#50;&#53;&#92;&#44;&#48;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"163\" style=\"vertical-align: -4px;\"\/> places.<\/p>\n<h3 dir=\"ltr\">Exercice 11 : un imp\u00f4t sur une partie du revenu<\/h3>\n<p dir=\"ltr\">Une personne paie 10 % d&rsquo;imp\u00f4t sur la partie de ses revenus qui d\u00e9passe 3 000 \u20ac. Ce mois-ci, il lui reste 7 950 \u20ac apr\u00e8s imp\u00f4t. Combien a-t-elle gagn\u00e9 avant imp\u00f4t ?<\/p>\n<p dir=\"ltr\">A) 7 500 \u20ac B) 8 500 \u20ac C) 9 250 \u20ac D) 9 500 \u20ac E) 9 750 \u20ac<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9 : r\u00e9ponse B.<\/strong> Attention, l&rsquo;imp\u00f4t ne porte que sur la partie au-dessus de 3 000 \u20ac. Le plus rapide est de tester les r\u00e9ponses :<\/p>\n<ul>\n<li>D) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b6e239cc0b9759195a19810e0a9d4f12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#44;&#53;&#48;&#48;&#45;&#51;&#92;&#44;&#48;&#48;&#48;&#61;&#54;&#92;&#44;&#53;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"161\" style=\"vertical-align: 0px;\"\/> \u20ac imposables ; imp\u00f4t : 650 \u20ac ; reste : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b0d8fb6c11eaa7562c07329d9ebcd18c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#44;&#53;&#48;&#48;&#45;&#54;&#53;&#48;&#61;&#56;&#92;&#44;&#56;&#53;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"149\" style=\"vertical-align: 0px;\"\/> \u20ac. C&rsquo;est trop.<\/li>\n<li>B) <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-28723984effa472fa4436f8964d5d98e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#92;&#44;&#53;&#48;&#48;&#45;&#51;&#92;&#44;&#48;&#48;&#48;&#61;&#53;&#92;&#44;&#53;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"161\" style=\"vertical-align: 0px;\"\/> \u20ac imposables ; imp\u00f4t : 550 \u20ac ; reste : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-91ab0990278731c3058e6525d6f21f43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#92;&#44;&#53;&#48;&#48;&#45;&#53;&#53;&#48;&#61;&#55;&#92;&#44;&#57;&#53;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"149\" style=\"vertical-align: 0px;\"\/> \u20ac. C&rsquo;est la bonne r\u00e9ponse.<\/li>\n<\/ul>\n<p dir=\"ltr\">Par le calcul : la partie imposable, multipli\u00e9e par 0,9, vaut <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-20305563b1a24310242638c536070c32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#92;&#44;&#57;&#53;&#48;&#45;&#51;&#92;&#44;&#48;&#48;&#48;&#61;&#52;&#92;&#44;&#57;&#53;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"161\" style=\"vertical-align: 0px;\"\/> \u20ac. Elle vaut donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-31216c514ec986ed621f5e56e8d34c23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#57;&#53;&#48;&#92;&#100;&#105;&#118;&#32;&#48;&#123;&#44;&#125;&#57;&#61;&#53;&#92;&#44;&#53;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"145\" style=\"vertical-align: -4px;\"\/> \u20ac, et le revenu avant imp\u00f4t <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9a335519eee229348cf3613ce5ea5890_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#92;&#44;&#48;&#48;&#48;&#43;&#53;&#92;&#44;&#53;&#48;&#48;&#61;&#56;&#92;&#44;&#53;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"161\" style=\"vertical-align: -2px;\"\/> \u20ac.<\/p>\n<h3 dir=\"ltr\">Exercice 12 : une somme de fractions en pourcentage<\/h3>\n<p dir=\"ltr\">Si <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/> est un nombre strictement positif, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b95d9cc30ef999b3b31c692d255ee499_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#125;&#123;&#53;&#48;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#125;&#123;&#50;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"61\" style=\"vertical-align: -12px;\"\/> correspond \u00e0 quel pourcentage de <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/> ?<\/p>\n<p dir=\"ltr\">A) 6 % B) 25 % C) 37 % D) 60 % E) 75 %<\/p>\n<p dir=\"ltr\"><strong>Corrig\u00e9 : r\u00e9ponse A.<\/strong> On met au m\u00eame d\u00e9nominateur :<\/p>\n<p dir=\"ltr\" style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5b4de731fd4f267efc8702b51d992755_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#125;&#123;&#53;&#48;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#125;&#123;&#50;&#53;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#125;&#123;&#53;&#48;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#120;&#125;&#123;&#53;&#48;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#120;&#125;&#123;&#53;&#48;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#120;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"252\" style=\"vertical-align: -12px;\"\/><\/p>\n<p dir=\"ltr\">C&rsquo;est 6 % de <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p dir=\"ltr\">Le sous-test de calcul porte aussi sur la <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\">g\u00e9om\u00e9trie<\/a>, les <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-puissances\/\">puissances<\/a> ou la <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-vitesse\/\">vitesse<\/a>. Pour un entra\u00eenement encadr\u00e9, Groupe R\u00e9ussite propose des <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/toutes-matieres\/tage-mage\/france\/\">cours particuliers de Tage Mage<\/a>.<\/p>\n<h2 dir=\"ltr\">Comment r\u00e9soudre un exercice de pourcentage ?<\/h2>\n<p dir=\"ltr\">Du premier exercice aux QCM du Tage Mage, la m\u00e9thode reste la m\u00eame :<\/p>\n<ol>\n<li><strong>Rep\u00e9rer la valeur de r\u00e9f\u00e9rence.<\/strong> Un pourcentage porte toujours sur quelque chose : \u00ab 20 % des \u00e9l\u00e8ves \u00bb, \u00ab 15 % du prix de d\u00e9part \u00bb. Soulignez-la dans l&rsquo;\u00e9nonc\u00e9.<\/li>\n<li><strong>Identifier l&rsquo;inconnue<\/strong> : la partie, le pourcentage ou le total.<\/li>\n<li><strong>Transformer le pourcentage<\/strong> en nombre d\u00e9cimal ou en coefficient multiplicateur : 15 % = 0,15 ; une baisse de 15 % donne 0,85.<\/li>\n<li><strong>Contr\u00f4ler l&rsquo;ordre de grandeur<\/strong>, puis r\u00e9diger une phrase de r\u00e9ponse avec l&rsquo;unit\u00e9.<\/li>\n<\/ol>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> retenez les correspondances 50 % = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5aa3fe0ad89cf65f34b5c880c078356e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/>, 25 % = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7fc58100d71714be3c30d3c3b33007fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"9\" style=\"vertical-align: -13px;\"\/>, 20 % = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-98cae5968483fcf564de11e0b139ea9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> et 10 % = <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d4825517b54191ab99a1c053af69ad25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#49;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"18\" style=\"vertical-align: -12px;\"\/>. Calculer 20 % d&rsquo;un nombre revient alors \u00e0 le diviser par 5, sans calculatrice.<\/div>\n<p dir=\"ltr\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"206003\" class=\"elementor elementor-206003\">\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-46248836 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=\"46248836\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-56fbe2a1 ae-bg-gallery-type-default\" data-id=\"56fbe2a1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3d9d711c elementor-widget elementor-widget-heading\" data-id=\"3d9d711c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">STAGE MATHS VACANCES<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-66976626 elementor-widget elementor-widget-heading\" data-id=\"66976626\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Se sentir mieux et viser haut en maths !<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-12080dd5 elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"12080dd5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/groupe-reussite.fr\/stages\/maths\/tous-niveaux\/france\/toutes-periodes\/\" target=\"_blank\" id=\"CTA_PRD_STAGE\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Stage de maths<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\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-382b6f23 ae-bg-gallery-type-default\" data-id=\"382b6f23\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\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<h2 dir=\"ltr\">FAQ : questions fr\u00e9quentes sur les exercices de pourcentages<\/h2>\n        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Comment calculer un pourcentage de t\u00eate ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tOn passe par 10 % ou 1 %. Pour 15 % de 60 : 10 % de 60 font 6, 5 % font la moiti\u00e9, soit 3, donc 15 % font 9. Pour 20 %, on divise par 5 ; pour 25 %, on divise par 4 ; pour 50 %, on divise par 2.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Comment retrouver un prix avant r\u00e9duction ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tOn divise le prix sold\u00e9 par le coefficient multiplicateur. Apr\u00e8s une r\u00e9duction de 25 %, un article \u00e0 63 \u20ac co\u00fbtait 63 \u00f7 0,75 = 84 \u20ac. Ajouter 25 % au prix sold\u00e9 donne un r\u00e9sultat faux, car la r\u00e9duction portait sur le prix de d\u00e9part.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Peut-on additionner deux pourcentages successifs ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tNon. Chaque pourcentage s'applique \u00e0 une valeur diff\u00e9rente, on multiplie donc les coefficients. Une hausse de 20 % puis une baisse de 15 % donnent 1,2 \u00d7 0,85 = 1,02, soit une hausse globale de 2 %, et non de 5 %.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Comment calculer un pourcentage d&#039;un pourcentage ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tOn multiplie les deux pourcentages. 20 % de 40 %, c'est 0,20 \u00d7 0,40 = 0,08, soit 8 % du total. Ce type de calcul revient souvent dans les QCM du Tage Mage.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Comment calculer un pourcentage d&#039;augmentation ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tOn divise l'\u00e9cart par la valeur de d\u00e9part, puis on multiplie par 100. Si un nombre passe de 250 \u00e0 290, le taux vaut (290 \u2212 250) \u00f7 250 = 0,16, soit une augmentation de 16 %. Un r\u00e9sultat n\u00e9gatif indique une baisse.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Quel niveau en pourcentages faut-il pour le Tage Mage ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tLe sous-test 2 de calcul porte sur des connaissances simples d'arithm\u00e9tique, de g\u00e9om\u00e9trie et d'alg\u00e8bre, de niveau troisi\u00e8me. La difficult\u00e9 vient surtout de la mise en \u00e9quation de l'\u00e9nonc\u00e9 et du temps : 20 minutes, sans calculatrice.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t\n<script type=\"application\/ld+json\">\n    {\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Comment calculer un pourcentage de t\u00eate ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"On passe par 10 % ou 1 %. Pour 15 % de 60 : 10 % de 60 font 6, 5 % font la moiti\u00e9, soit 3, donc 15 % font 9. Pour 20 %, on divise par 5 ; pour 25 %, on divise par 4 ; pour 50 %, on divise par 2.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Comment retrouver un prix avant r\u00e9duction ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"On divise le prix sold\u00e9 par le coefficient multiplicateur. Apr\u00e8s une r\u00e9duction de 25 %, un article \u00e0 63 \u20ac co\u00fbtait 63 \u00f7 0,75 = 84 \u20ac. Ajouter 25 % au prix sold\u00e9 donne un r\u00e9sultat faux, car la r\u00e9duction portait sur le prix de d\u00e9part.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Peut-on additionner deux pourcentages successifs ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Non. Chaque pourcentage s'applique \u00e0 une valeur diff\u00e9rente, on multiplie donc les coefficients. Une hausse de 20 % puis une baisse de 15 % donnent 1,2 \u00d7 0,85 = 1,02, soit une hausse globale de 2 %, et non de 5 %.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Comment calculer un pourcentage d'un pourcentage ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"On multiplie les deux pourcentages. 20 % de 40 %, c'est 0,20 \u00d7 0,40 = 0,08, soit 8 % du total. Ce type de calcul revient souvent dans les QCM du Tage Mage.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Comment calculer un pourcentage d'augmentation ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"On divise l'\u00e9cart par la valeur de d\u00e9part, puis on multiplie par 100. Si un nombre passe de 250 \u00e0 290, le taux vaut (290 \u2212 250) \u00f7 250 = 0,16, soit une augmentation de 16 %. Un r\u00e9sultat n\u00e9gatif indique une baisse.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Quel niveau en pourcentages faut-il pour le Tage Mage ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Le sous-test 2 de calcul porte sur des connaissances simples d'arithm\u00e9tique, de g\u00e9om\u00e9trie et d'alg\u00e8bre, de niveau troisi\u00e8me. La difficult\u00e9 vient surtout de la mise en \u00e9quation de l'\u00e9nonc\u00e9 et du temps : 20 minutes, sans calculatrice.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t    ]\n}\n<\/script>\n\n<h2 dir=\"ltr\">Sources<\/h2>\n<ul>\n<li>Minist\u00e8re de l&rsquo;\u00c9ducation nationale, <a href=\"https:\/\/www.education.gouv.fr\/sites\/default\/files\/document\/Annexe%202%20%E2%80%93%20Programme%20de%20math%C3%A9matiques%20pour%20le%20cycle%204-480716.pdf\" target=\"_blank\" rel=\"noopener\">Programme de math\u00e9matiques du cycle 4<\/a>, annexe 2, BO du 5 mars 2026<\/li>\n<li>TAGE MAGE, <a href=\"https:\/\/www.tagemage.fr\/page\/sous-tests\" target=\"_blank\" rel=\"noopener\">Sous-tests du TAGE MAGE<\/a><\/li>\n<li>TAGE MAGE, <a href=\"https:\/\/www.tagemage.fr\/page\/conseils\" target=\"_blank\" rel=\"noopener\">Conseils<\/a><\/li>\n<li>TAGE MAGE, <a href=\"https:\/\/www.tagemage.fr\/page\/foire-aux-questions\" target=\"_blank\" rel=\"noopener\">Foire aux questions<\/a><\/li>\n<li>Minist\u00e8re de l&rsquo;\u00c9ducation nationale, \u00c9duscol, <a href=\"https:\/\/eduscol.education.fr\/document\/38987\/download\" target=\"_blank\" rel=\"noopener\">Calculer un taux d&rsquo;\u00e9volution global<\/a>, d\u00e9cembre 2022<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Exercices sur les pourcentages corrig\u00e9s : 12 exercices pour r\u00e9ussir le Tage Mage Par Seda Biber, mis \u00e0 jour le 22\/10\/2026 Pour r\u00e9ussir un exercice de pourcentage, on rep\u00e8re d&rsquo;abord ce que l&rsquo;on cherche : une partie, un pourcentage ou le total. Prendre t % d&rsquo;un nombre revient \u00e0 le multiplier par : 15 % [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"full-screen","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"ressource","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"on","ocean_disable_heading":"on","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"on","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-52564","page","type-page","status-publish","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - 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