Quiz interactif : Mathématiques 4ème secondaire — Testez vos connaissances !

Question 1 sur 10 10:00

[{"id":17078,"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. C'est une équation linéaire simple à résoudre.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17079,"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, une propriété fondamentale en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17080,"question":"Quelle est la dérivée de la fonction f(x) = 2x² + 3x - 5 ?","option_a":"f'(x) = 4x + 3","option_b":"f'(x) = 2x + 3","option_c":"f'(x) = 4x² + 3x","option_d":"f'(x) = 2x² + 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 2x² est 4x, celle de 3x est 3, et celle de -5 est 0. Donc f'(x) = 4x + 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17081,"question":"Si un angle mesure 120°, son angle supplémentaire mesure :","option_a":"60°","option_b":"120°","option_c":"30°","option_d":"180°","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux angles sont supplémentaires si leur somme est 180°. Donc 180° - 120° = 60°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17082,"question":"La fonction f(x) = x² est une fonction paire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction est paire si f(-x) = f(x). Ici, f(-x) = (-x)² = x² = f(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17083,"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. Il faut inverser le sens de l'inégalité si on divise par un nombre négatif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17084,"question":"Dans un cercle, le diamètre est toujours égal à deux fois le rayon.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, le diamètre d'un cercle est égal à deux fois son rayon.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17085,"question":"Quelle est la solution de l'équation x² - 4x + 4 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette équation est un carré parfait : (x - 2)² = 0 → x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17086,"question":"La somme des angles d'un triangle est toujours égale à :","option_a":"90°","option_b":"180°","option_c":"360°","option_d":"45°","option_e":"","option_f":"","bonne_reponse":"B","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":17087,"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 pour x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]