Quiz : Les fondamentaux de maths pour la 3ème année secondaire

Question 1 sur 10 10:00

[{"id":27248,"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 = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27249,"question":"La fonction f(x) = x² est-elle toujours positive ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La fonction f(x) = x² est toujours positive ou nulle, car un carré est toujours positif ou égal à zéro.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27250,"question":"Quel est le développement de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² - 5x - 6","option_c":"x² + x + 6","option_d":"x² - x - 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le développement donne x² - 2x + 3x - 6 = x² + x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27251,"question":"La moyenne d'une série statistique est toujours supérieure à la médiane ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La moyenne peut être supérieure, inférieure ou égale à la médiane selon la distribution des données.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27252,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ ?","option_a":"12x²","option_b":"4x²","option_c":"12x","option_d":"4x³","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x³ est 3x², donc celle de 4x³ est 4 * 3x² = 12x².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27253,"question":"Un triangle rectangle a toujours un angle de 90° ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un triangle rectangle possède un angle droit de 90°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27254,"question":"Résolvez l'inéquation 2x + 7 \u003E 15.","option_a":"x \u003E 4","option_b":"x \u003E -4","option_c":"x \u003C 4","option_d":"x \u003C -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 7 : 2x \u003E 8, puis on divise par 2 : x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27255,"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":27256,"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":27257,"question":"Un parallélogramme a toujours des diagonales de même longueur ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Seuls les rectangles (cas particulier de parallélogramme) ont des diagonales de même longueur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]