Quiz — S15MC.pdf

Question 1 sur 10 20:00

[{"id":31410,"question":"Quelle est la solution de l'équation 2x - 5 = 7 ?","option_a":"x = 6","option_b":"x = 1","option_c":"x = 3","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x - 5 = 7, on ajoute 5 des deux côtés : 2x = 12, puis on divise par 2 : x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 6\", \"b\": \"x = 1\", \"c\": \"x = 3\", \"d\": \"x = 4\"}}","_debug_options_count":4},{"id":31411,"question":"La fonction f(x) = 3x + 2 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, où a et b sont des réels. Ici, a = 3 et b = 2, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":31412,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 1 ?","option_a":"1","option_b":"-4","option_c":"4","option_d":"-1","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans l'équation y = ax + b, a représente le coefficient directeur. Ici, a = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"1\", \"b\": \"-4\", \"c\": \"4\", \"d\": \"-1\"}}","_debug_options_count":4},{"id":31413,"question":"Si un triangle a des côtés de longueurs 3 cm, 4 cm et 5 cm, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore, 3² + 4² = 5² (9 + 16 = 25), donc le triangle est rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":31414,"question":"Quelle est la moyenne d'une série de notes : 10, 12, 14, 16 ?","option_a":"13","option_b":"12.5","option_c":"14","option_d":"15","option_e":"","option_f":"","bonne_reponse":"a","explication":"La moyenne se calcule en additionnant toutes les notes (10 + 12 + 14 + 16 = 52) et en divisant par le nombre de notes (52 \/ 4 = 13).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"13\", \"b\": \"12.5\", \"c\": \"14\", \"d\": \"15\"}}","_debug_options_count":4},{"id":31415,"question":"La fonction f(x) = x² est une fonction linéaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax. Ici, f(x) = x² est une fonction du second degré, donc ce n'est pas une fonction linéaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":31416,"question":"Résolvez l'inéquation 3x - 2 ≤ 4.","option_a":"x ≤ 2","option_b":"x ≥ 2","option_c":"x ≤ 1","option_d":"x ≥ 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 2 ≤ 4, on ajoute 2 des deux côtés : 3x ≤ 6, puis on divise par 3 : x ≤ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x ≤ 2\", \"b\": \"x ≥ 2\", \"c\": \"x ≤ 1\", \"d\": \"x ≥ 1\"}}","_debug_options_count":4},{"id":31417,"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 (d = 2r).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":31418,"question":"Quelle est l'image de 3 par la fonction f(x) = 2x² - 5 ?","option_a":"13","option_b":"11","option_c":"16","option_d":"10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour trouver l'image de 3, on remplace x par 3 dans la fonction : f(3) = 2*(3)² - 5 = 2*9 - 5 = 18 - 5 = 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"13\", \"b\": \"11\", \"c\": \"16\", \"d\": \"10\"}}","_debug_options_count":4},{"id":31419,"question":"La médiane d'une série de données est toujours égale à la moyenne.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane et la moyenne sont deux indicateurs différents. La médiane est la valeur centrale d'une série ordonnée, tandis que la moyenne est la somme des valeurs divisée par leur nombre.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]