Quiz — P-EX05-30-CM.pdf

Question 1 sur 10 20:00

[{"id":41080,"question":"Quelle est la solution de l'équation 3x - 5 = 16 ?","option_a":"x = 7","option_b":"x = 5","option_c":"x = 11","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 16, ajoutez 5 des deux côtés : 3x = 21. Divisez ensuite par 3 : x = 7.","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 = 7\", \"b\": \"x = 5\", \"c\": \"x = 11\", \"d\": \"x = 3\"}}","_debug_options_count":4},{"id":41081,"question":"La racine carrée de 25 est égale à 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La racine carrée de 25 est bien 5, car 5 × 5 = 25.","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":41082,"question":"Quel est le résultat de 2³ × 2⁴ ?","option_a":"2⁷","option_b":"2¹²","option_c":"4⁷","option_d":"2⁴","option_e":"","option_f":"","bonne_reponse":"a","explication":"Lorsqu'on multiplie des puissances de même base, on additionne les exposants : 2³ × 2⁴ = 2^(3+4) = 2⁷.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"2⁷\", \"b\": \"2¹²\", \"c\": \"4⁷\", \"d\": \"2⁴\"}}","_debug_options_count":4},{"id":41083,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Cette propriété s'appelle :","option_a":"Théorème de Pythagore","option_b":"Théorème de Thalès","option_c":"Propriété des angles","option_d":"Formule d'Al-Khwarizmi","option_e":"","option_f":"","bonne_reponse":"a","explication":"Cette propriété est connue sous le nom de théorème de Pythagore, fondamentale en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Théorème de Pythagore\", \"b\": \"Théorème de Thalès\", \"c\": \"Pro","_debug_options_count":4},{"id":41084,"question":"L'aire d'un cercle de rayon r est donnée par la formule πr².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule de l'aire d'un cercle est bien πr², où r est le rayon.","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":41085,"question":"Résolvez l'inéquation 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","option_d":"x \u003E -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 3 des deux côtés : 2x \u003E 4. Diviser par 2 : x \u003E 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 \u003E 2\", \"b\": \"x \u003E 5\", \"c\": \"x \u003C 2\", \"d\": \"x \u003E -2\"}}","_debug_options_count":4},{"id":41086,"question":"Quel est le résultat de (-3)² ?","option_a":"9","option_b":"-9","option_c":"6","option_d":"-6","option_e":"","option_f":"","bonne_reponse":"a","explication":"(-3)² = (-3) × (-3) = 9, car le carré d'un nombre négatif est positif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"9\", \"b\": \"-9\", \"c\": \"6\", \"d\": \"-6\"}}","_debug_options_count":4},{"id":41087,"question":"Dans une classe de 30 élèves, 18 sont des filles. Quel est le pourcentage de filles ?","option_a":"60%","option_b":"40%","option_c":"50%","option_d":"30%","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le pourcentage de filles est (18\/30) × 100 = 60%.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"60%\", \"b\": \"40%\", \"c\": \"50%\", \"d\": \"30%\"}}","_debug_options_count":4},{"id":41088,"question":"La médiane d'une série statistique 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 mesures différentes. La médiane est la valeur centrale, 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},{"id":41089,"question":"Quelle est l'équation de la droite passant par les points A(1, 2) et B(3, 4) ?","option_a":"y = x + 1","option_b":"y = 2x","option_c":"y = x","option_d":"y = 2x + 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"La pente m = (4-2)\/(3-1) = 1. L'équation est y = x + 1 (car 2 = 1×1 + 1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"y = x + 1\", \"b\": \"y = 2x\", \"c\": \"y = x\", \"d\": \"y = 2x + 1\"}}","_debug_options_count":4}]