Quiz — 683c15bec5ec7_corrigé sujet de révision n4 EX3 EX4.pdf

Question 1 sur 10 20:00

[{"id":20499,"question":"Quelle est la solution de l'équation 3x - 5 = 16 ?","option_a":"x = 7","option_b":"x = 10","option_c":"x = 11","option_d":"x = 21","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 16, on ajoute 5 des deux côtés : 3x = 21, puis on divise 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 = 10\", \"c\": \"x = 11\", \"d\": \"x = 21\"}}","_debug_options_count":4},{"id":20500,"question":"Un triangle rectangle a des côtés de 3 cm et 4 cm. Quelle est la longueur de l'hypoténuse ?","option_a":"5 cm","option_b":"6 cm","option_c":"7 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore, l'hypoténuse mesure √(3² + 4²) = √25 = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5 cm\", \"b\": \"6 cm\", \"c\": \"7 cm\", \"d\": \"8 cm\"}}","_debug_options_count":4},{"id":20501,"question":"Vrai ou Faux : L'aire d'un cercle se calcule avec la formule π × r².","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 π × r², 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":20502,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x + 3 \u003E 7, on soustrait 3 : 2x \u003E 4, puis on divise 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 \u003C 5\"}}","_debug_options_count":4},{"id":20503,"question":"Vrai ou Faux : Le volume d'un cube de côté 4 cm est 64 cm³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le volume d'un cube se calcule avec la formule côté³, soit 4³ = 64 cm³. L'affirmation est donc vraie.","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":20504,"question":"Quelle est la médiane d'une série statistique dont les valeurs sont 2, 4, 6, 8, 10 ?","option_a":"4","option_b":"6","option_c":"8","option_d":"10","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane est la valeur centrale de la série ordonnée. Ici, la série a 5 valeurs, donc la médiane est 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"4\", \"b\": \"6\", \"c\": \"8\", \"d\": \"10\"}}","_debug_options_count":4},{"id":20505,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = 1 ou x = 6","option_c":"x = -2 ou x = -3","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En factorisant, on obtient (x - 2)(x - 3) = 0, donc les solutions sont x = 2 et x = 3.","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 ou x = 3\", \"b\": \"x = 1 ou x = 6\", \"c\": \"x = -2 ou x = -3\", ","_debug_options_count":4},{"id":20506,"question":"Vrai ou Faux : 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":"La somme des angles d'un triangle est toujours égale à 180°, c'est une propriété 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":20507,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"13 cm²","option_b":"30 cm²","option_c":"40 cm²","option_d":"50 cm²","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'aire d'un rectangle se calcule avec la formule longueur × largeur, soit 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"13 cm²\", \"b\": \"30 cm²\", \"c\": \"40 cm²\", \"d\": \"50 cm²\"}}","_debug_options_count":4},{"id":20508,"question":"Quelle est la solution de l'équation 4(x - 1) = 2x + 6 ?","option_a":"x = 5","option_b":"x = 4","option_c":"x = 3","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"En développant, on obtient 4x - 4 = 2x + 6, puis 2x = 10, donc x = 5.","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 = 5\", \"b\": \"x = 4\", \"c\": \"x = 3\", \"d\": \"x = 2\"}}","_debug_options_count":4}]