Quiz — Exercice 15.pdf

Question 1 sur 10 20:00

[{"id":14629,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 2","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"b","explication":"Résolvez l'équation : 3x - 5 = 10 → 3x = 15 → x = 15\/3 = 5. La solution est x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x = 5\", \"b\": \"x = 15\/3\", \"c\": \"x = 2\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":14630,"question":"Le périmètre d'un carré de côté 4 cm est de 16 cm.","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 par P = 4 × côté. Ici, P = 4 × 4 = 16 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},{"id":14631,"question":"Factorisez l'expression : 2x² + 4x","option_a":"2x(x + 2)","option_b":"x(2x + 4)","option_c":"2(x² + 2x)","option_d":"4x(x + 1)","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'expression 2x² + 4x peut être factorisée en mettant 2x en facteur : 2x(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\": \"2x(x + 2)\", \"b\": \"x(2x + 4)\", \"c\": \"2(x² + 2x)\", \"d\": \"4x(x + 1)","_debug_options_count":4},{"id":14632,"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":"Calculez la moyenne : (5 + 7 + 9 + 11) \/ 4 = 32 \/ 4 = 8. La moyenne est donc 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":14633,"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 stipule 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":14634,"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 \u003C 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolvez l'inéquation : 2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2. La solution est 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":14635,"question":"L'aire d'un triangle de base 6 cm et de hauteur 4 cm est :","option_a":"12 cm²","option_b":"24 cm²","option_c":"10 cm²","option_d":"8 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un triangle se calcule par A = (base × hauteur) \/ 2. Ici, A = (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\": \"8 cm²\"}}","_debug_options_count":4},{"id":14636,"question":"Le développement de (x + 3)² est :","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":"Utilisez l'identité remarquable (a + b)² = a² + 2ab + b². Ici, (x + 3)² = 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":14637,"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 ordonnée, 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},{"id":14638,"question":"Quel est le résultat de 5 × (2 + 3) - 4 ?","option_a":"21","option_b":"11","option_c":"26","option_d":"16","option_e":"","option_f":"","bonne_reponse":"a","explication":"Appliquez les règles de priorité : 5 × (2 + 3) - 4 = 5 × 5 - 4 = 25 - 4 = 21.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"21\", \"b\": \"11\", \"c\": \"26\", \"d\": \"16\"}}","_debug_options_count":4}]