Quiz — SérieDevoir.pdf

Question 1 sur 5 10:00

[{"id":1944,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = -5","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15, puis divisez 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\", \"d\": \"x = 10\"}}","_debug_options_count":4},{"id":1945,"question":"Dans un triangle rectangle, si les côtés de l'angle droit mesurent 6 cm et 8 cm, quelle est la longueur de l'hypoténuse ?","option_a":"10 cm","option_b":"14 cm","option_c":"12 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : hypoténuse² = 6² + 8² = 36 + 64 = 100, donc hypoténuse = √100 = 10 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\": \"10 cm\", \"b\": \"14 cm\", \"c\": \"12 cm\", \"d\": \"8 cm\"}}","_debug_options_count":4},{"id":1946,"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":"Le développement de (x + 3)² est x² + 2*3*x + 3² = 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":1947,"question":"Si un rectangle a une longueur de 12 cm et une largeur de 5 cm, quelle est son aire ?","option_a":"60 cm²","option_b":"34 cm²","option_c":"17 cm²","option_d":"24 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle se calcule par longueur × largeur : 12 cm × 5 cm = 60 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\": \"60 cm²\", \"b\": \"34 cm²\", \"c\": \"17 cm²\", \"d\": \"24 cm²\"}}","_debug_options_count":4},{"id":1948,"question":"Quel est le coefficient de proportionnalité entre les grandeurs suivantes : 4 kg → 12 TND et 7 kg → ?","option_a":"21 TND","option_b":"3 TND\/kg","option_c":"1,71 TND","option_d":"2,5 TND\/kg","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le coefficient de proportionnalité est 12 TND \/ 4 kg = 3 TND\/kg. Pour 7 kg, le prix est 7 × 3 = 21 TND.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"21 TND\", \"b\": \"3 TND\/kg\", \"c\": \"1,71 TND\", \"d\": \"2,5 TND\/kg\"}}","_debug_options_count":4}]