Quiz — Devoir de contrôle N1_Enoncé.pdf

Question 1 sur 5 10:00

[{"id":1294,"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. C'est une équation de base du premier degré.","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":1295,"question":"Dans un triangle rectangle, si les côtés de l'angle droit mesurent 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 : hypoténuse² = 3² + 4² = 9 + 16 = 25. Donc hypoténuse = √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":1296,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 4x + 6 ?","option_a":"x = -6","option_b":"x = -3","option_c":"x = 3","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"b","explication":"Développez : 2x - 6 = 4x + 6. Soustrayez 2x : -6 = 2x + 6. Soustrayez 6 : -12 = 2x. Divisez par 2 : x = -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\": \"x = -6\", \"b\": \"x = -3\", \"c\": \"x = 3\", \"d\": \"x = 6\"}}","_debug_options_count":4},{"id":1297,"question":"Un rectangle a une longueur de 8 cm et une largeur de 5 cm. Quelle est son aire ?","option_a":"13 cm²","option_b":"26 cm²","option_c":"40 cm²","option_d":"65 cm²","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'aire d'un rectangle se calcule par longueur × largeur : 8 cm × 5 cm = 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\": \"26 cm²\", \"c\": \"40 cm²\", \"d\": \"65 cm²\"}}","_debug_options_count":4},{"id":1298,"question":"Quelle est la somme des angles intérieurs d'un pentagone convexe ?","option_a":"360°","option_b":"540°","option_c":"720°","option_d":"900°","option_e":"","option_f":"","bonne_reponse":"b","explication":"La somme des angles intérieurs d'un polygone à n côtés est (n-2) × 180°. Pour un pentagone (n=5) : (5-2) × 180° = 540°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"360°\", \"b\": \"540°\", \"c\": \"720°\", \"d\": \"900°\"}}","_debug_options_count":4}]