Quiz — 3e.pdf

Question 1 sur 10 20:00

[{"id":91532,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 5\/3","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 20, on soustrait 5 des deux côtés : 3x = 15, puis on divise par 3 : 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 = 15\", \"c\": \"x = 5\/3\", \"d\": \"x = 10\"}}","_debug_options_count":4},{"id":91533,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore énonce que dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","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":91534,"question":"Quelle est la représentation graphique d'une fonction affine ?","option_a":"Une droite","option_b":"Un cercle","option_c":"Une parabole","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine est représentée par une droite dans un repère orthonormé.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Une droite\", \"b\": \"Un cercle\", \"c\": \"Une parabole\", \"d\": \"Une hyp","_debug_options_count":4},{"id":91535,"question":"La moyenne de 5, 7, 9 et 11 est :","option_a":"8","option_b":"9","option_c":"7","option_d":"10","option_e":"","option_f":"","bonne_reponse":"b","explication":"La moyenne se calcule en additionnant les valeurs (5+7+9+11=32) et en divisant par le nombre de valeurs (32\/4=8).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"8\", \"b\": \"9\", \"c\": \"7\", \"d\": \"10\"}}","_debug_options_count":4},{"id":91536,"question":"Le volume d'un cube de côté 4 cm est :","option_a":"16 cm³","option_b":"64 cm³","option_c":"32 cm³","option_d":"8 cm³","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le volume d'un cube se calcule avec la formule V = côté³. Ici, 4³ = 64 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"16 cm³\", \"b\": \"64 cm³\", \"c\": \"32 cm³\", \"d\": \"8 cm³\"}}","_debug_options_count":4},{"id":91537,"question":"Une inéquation du type 2x - 3 \u003E 5 a pour solution :","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x - 3 \u003E 5, on ajoute 3 des deux côtés : 2x \u003E 8, puis on divise par 2 : x \u003E 4.","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 4\", \"b\": \"x \u003C 4\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":91538,"question":"Quelle est l'aire d'un triangle de base 6 cm et de hauteur 4 cm ?","option_a":"12 cm²","option_b":"24 cm²","option_c":"10 cm²","option_d":"18 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un triangle se calcule avec la formule A = (base × hauteur) \/ 2. Ici, (6 × 4) \/ 2 = 12 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"12 cm²\", \"b\": \"24 cm²\", \"c\": \"10 cm²\", \"d\": \"18 cm²\"}}","_debug_options_count":4},{"id":91539,"question":"Le théorème de Thalès permet de calculer des longueurs dans des triangles semblables.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Thalès énonce que si deux droites sont parallèles, elles découpent des segments proportionnels sur deux droites sécantes.","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":91540,"question":"Quelle est la solution du système d'équations { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En additionnant les deux équations, on obtient 3x = 6 → x = 2. En remplaçant x dans la deuxième équation : 2 - y = 1 → y = 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\": \"x = 2, y = 1\", \"b\": \"x = 1, y = 3\", \"c\": \"x = 3, y = -1\", \"d\": \"x","_debug_options_count":4},{"id":91541,"question":"La médiane d'une série de nombres 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 est la valeur centrale d'une série triée, tandis que la moyenne est la somme des valeurs divisée par leur nombre. Ces deux valeurs ne sont pas toujours égales.","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}]