Quiz Mathématiques — 3ème Année Secondaire : Algèbre & Géométrie

Question 1 sur 10 10:00

[{"id":57986,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 → 3x = 15 → x = 5. L'équation est résolue en isolant x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57987,"question":"Le triangle ABC avec AB = 5 cm, BC = 12 cm et AC = 13 cm est rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"5² + 12² = 25 + 144 = 169 = 13². Le triangle est rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57988,"question":"Quelle est la dérivée de f(x) = 4x² - 3x + 2 ?","option_a":"f'(x) = 8x - 3","option_b":"f'(x) = 4x - 3","option_c":"f'(x) = 8x² - 3x","option_d":"f'(x) = 4x² - 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 4x² est 8x, celle de -3x est -3, et celle de 2 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57989,"question":"Dans une classe de 30 élèves, 40% sont des filles. Combien y a-t-il de garçons ?","option_a":"12","option_b":"18","option_c":"20","option_d":"15","option_e":"","option_f":"","bonne_reponse":"B","explication":"40% de 30 = 12 filles → 30 - 12 = 18 garçons.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57990,"question":"La fonction f(x) = x² est toujours positive.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"f(x) = x² ≥ 0 pour tout x réel, mais elle s'annule en x = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57991,"question":"Quelle est la solution de l'inéquation 2x + 7 \u003E 15 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E -4","option_d":"x \u003C -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 7 \u003E 15 → 2x \u003E 8 → x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57992,"question":"Un parallélogramme a des diagonales qui se coupent en leur milieu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale des parallélogrammes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57993,"question":"Quelle est la valeur de sin(30°) ?","option_a":"0.5","option_b":"√3\/2","option_c":"1","option_d":"0","option_e":"","option_f":"","bonne_reponse":"A","explication":"sin(30°) = 1\/2 = 0.5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57994,"question":"L'équation x² + 4x + 4 = 0 a deux solutions distinctes.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"x² + 4x + 4 = (x + 2)² → solution double x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57995,"question":"Quel est le périmètre d'un cercle de rayon 5 cm ?","option_a":"10π cm","option_b":"25π cm","option_c":"5π cm","option_d":"20π cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Périmètre = 2πr = 2π × 5 = 10π cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]