Quiz Maths : 3ème année secondaire — Testez vos connaissances !

Question 1 sur 10 10:00

[{"id":73362,"question":"Quel est le résultat de l'expression (3x + 2)(2x - 5) ?","option_a":"6x² - 11x - 10","option_b":"6x² - 19x - 10","option_c":"6x² + 11x - 10","option_d":"6x² - 11x + 10","option_e":"","option_f":"","bonne_reponse":"B","explication":"Développez en utilisant la double distributivité : (3x)(2x) + (3x)(-5) + (2)(2x) + (2)(-5) = 6x² - 15x + 4x - 10 = 6x² - 11x - 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73363,"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":"Calculez le discriminant : Δ = b² - 4ac = (-4)² - 4(1)(4) = 16 - 16 = 0. Une seule solution double existe.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73364,"question":"Quelle est la dérivée de la fonction f(x) = 5x³ - 2x² + 3x - 7 ?","option_a":"15x² - 4x + 3","option_b":"15x² - 4x + 3x","option_c":"5x² - 2x + 3","option_d":"15x² - 4x - 7","option_e":"","option_f":"","bonne_reponse":"A","explication":"Appliquez la règle de dérivation : f'(x) = 15x² - 4x + 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73365,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est le théorème de Pythagore : a² + b² = c² où c est l'hypoténuse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73366,"question":"Quel est le PGCD de 48 et 60 ?","option_a":"6","option_b":"12","option_c":"16","option_d":"24","option_e":"","option_f":"","bonne_reponse":"B","explication":"Décomposez en facteurs premiers : 48 = 2⁴ × 3 et 60 = 2² × 3 × 5. Le PGCD est 2² × 3 = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73367,"question":"La fonction f(x) = 1\/x est définie pour x = 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73368,"question":"Résolvez l'inéquation 2x - 5 \u003E 3x + 1.","option_a":"x \u003C -6","option_b":"x \u003E -6","option_c":"x \u003C 6","option_d":"x \u003E 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x - 5 \u003E 3x + 1 → -5 - 1 \u003E 3x - 2x → -6 \u003E x → x \u003C -6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73369,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"7","option_b":"5","option_c":"9","option_d":"11","option_e":"","option_f":"","bonne_reponse":"A","explication":"√(16) = 4 et √(9) = 3, donc 4 + 3 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73370,"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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73371,"question":"Quel est le résultat de (2 + 3)² ?","option_a":"25","option_b":"10","option_c":"13","option_d":"11","option_e":"","option_f":"","bonne_reponse":"A","explication":"(2 + 3)² = 5² = 25.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]