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[{"id":51011,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = -5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15, puis divisez par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51012,"question":"Le périmètre d'un carré de côté 4 cm est de 16 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré se calcule par 4 × côté. Ici, 4 × 4 = 16 cm, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51013,"question":"Quelle est la valeur de 2³ × 2² ?","option_a":"2⁵","option_b":"2⁶","option_c":"4⁵","option_d":"4⁶","option_e":"","option_f":"","bonne_reponse":"A","explication":"Lorsqu'on multiplie des puissances de même base, on additionne les exposants : 2³ × 2² = 2^(3+2) = 2⁵.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51014,"question":"L'aire d'un triangle est toujours égale à (base × hauteur) \/ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette formule est une propriété fondamentale de la géométrie : l'aire d'un triangle est bien (base × hauteur) \/ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51015,"question":"Résoudre l'inéquation : 2x - 7 \u003E 5.","option_a":"x \u003E 6","option_b":"x \u003E 1","option_c":"x \u003C 6","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajoutez 7 des deux côtés : 2x \u003E 12, puis divisez par 2 : x \u003E 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51016,"question":"Le volume d'un cube de côté 3 cm est de 27 cm³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube se calcule par côté³. Ici, 3³ = 27 cm³, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51017,"question":"Quelle est la factorisation de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"Il s'agit d'une différence de carrés : x² - 9 = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51018,"question":"La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie plane : la somme des angles d'un triangle est toujours 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51019,"question":"Résoudre l'équation : 5(x - 2) = 3x + 10.","option_a":"x = 10","option_b":"x = 5","option_c":"x = 0","option_d":"x = -5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Développez : 5x - 10 = 3x + 10. Soustrayez 3x : 2x - 10 = 10. Ajoutez 10 : 2x = 20. Divisez par 2 : x = 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51020,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore énonce que dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]