Quiz — Correction Manuel Scolaire Math T1.pdf

Question 1 sur 10 20:00

[{"id":122290,"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 = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, on ajoute d'abord 5 des deux côtés : 3x = 15. Ensuite, 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\/3\", \"c\": \"x = 5\/3\", \"d\": \"x = 1\"}}","_debug_options_count":4},{"id":122291,"question":"La somme des angles d'un triangle est toujours égale à 180°. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété fondamentale de la géométrie euclidienne : la somme des angles internes d'un triangle est toujours de 180°.","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":122292,"question":"Quel est le développement de (x + 3)² ?","option_a":"x² + 6x + 9","option_b":"x² + 3x + 9","option_c":"x² + 9","option_d":"x² + 6x + 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En utilisant l'identité remarquable (a + b)² = a² + 2ab + b², on obtient x² + 6x + 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x² + 6x + 9\", \"b\": \"x² + 3x + 9\", \"c\": \"x² + 9\", \"d\": \"x² + 6","_debug_options_count":4},{"id":122293,"question":"La médiane d'un triangle est toujours perpendiculaire à la base. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane d'un triangle est une droite qui joint un sommet au milieu du côté opposé. Elle n'est perpendiculaire à la base que dans un triangle isocèle ou équilatéral.","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":122294,"question":"Résolvez l'inéquation 2x + 7 \u003E 15.","option_a":"x \u003E 4","option_b":"x \u003E -4","option_c":"x \u003C 4","option_d":"x \u003C -4","option_e":"","option_f":"","bonne_reponse":"a","explication":"On soustrait d'abord 7 des deux côtés : 2x \u003E 8. Ensuite, 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 \u003E -4\", \"c\": \"x \u003C 4\", \"d\": \"x \u003C -4\"}}","_debug_options_count":4},{"id":122295,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles. Vrai ou Faux ?","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. Il ne s'applique donc qu'aux triangles rectangles.","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":122296,"question":"Quelle est la représentation graphique de la fonction f(x) = 2x + 1 ?","option_a":"Une droite croissante","option_b":"Une droite décroissante","option_c":"Une parabole","option_d":"Un cercle","option_e":"","option_f":"","bonne_reponse":"a","explication":"La fonction f(x) = 2x + 1 est une fonction affine, dont la représentation graphique est une droite de coefficient directeur 2 (croissante).","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 croissante\", \"b\": \"Une droite décroissante\", \"c\": \"Un","_debug_options_count":4},{"id":122297,"question":"La moyenne de trois nombres 5, 7 et 9 est égale à 7. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La moyenne se calcule en additionnant les nombres (5 + 7 + 9 = 21) et en divisant par 3 : 21 \/ 3 = 7. 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":122298,"question":"Quel est le résultat de l'expression (4 + 3) × 2 - 5 ?","option_a":"9","option_b":"10","option_c":"15","option_d":"12","option_e":"","option_f":"","bonne_reponse":"b","explication":"On commence par les parenthèses : (4 + 3) = 7. Ensuite, on multiplie par 2 : 7 × 2 = 14. Enfin, on soustrait 5 : 14 - 5 = 9. La bonne réponse est 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"9\", \"b\": \"10\", \"c\": \"15\", \"d\": \"12\"}}","_debug_options_count":4},{"id":122299,"question":"Le périmètre d'un carré de côté 5 cm est égal à 20 cm. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un carré se calcule en multipliant la longueur d'un côté par 4 : 5 × 4 = 20 cm. 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}]