Quiz — 8. E P 2010.pdf

Question 1 sur 10 20:00

[{"id":5316,"question":"Quelle est la solution de l'équation 3x + 5 = 2x + 10 ?","option_a":"x = 5","option_b":"x = -5","option_c":"x = 15","option_d":"x = -15","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 2x des deux côtés et en soustrayant 5, on obtient 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 = -5\", \"c\": \"x = 15\", \"d\": \"x = -15\"}}","_debug_options_count":4},{"id":5317,"question":"La somme des angles d'un triangle est toujours égale à 180°.","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 plane.","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":5318,"question":"Quel est le périmètre d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"26 cm","option_b":"40 cm","option_c":"13 cm","option_d":"30 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre se calcule par 2 × (longueur + largeur) = 2 × 13 = 26 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\": \"26 cm\", \"b\": \"40 cm\", \"c\": \"13 cm\", \"d\": \"30 cm\"}}","_debug_options_count":4},{"id":5319,"question":"Si un angle mesure 60°, son supplémentaire mesure :","option_a":"30°","option_b":"120°","option_c":"60°","option_d":"90°","option_e":"","option_f":"","bonne_reponse":"b","explication":"Deux angles sont supplémentaires si leur somme est 180°. Donc 180° - 60° = 120°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"30°\", \"b\": \"120°\", \"c\": \"60°\", \"d\": \"90°\"}}","_debug_options_count":4},{"id":5320,"question":"L'aire d'un disque de rayon r est donnée par la formule :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule correcte est A = π × r².","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":5321,"question":"Résoudre l'équation 2(x + 3) = 4x - 2.","option_a":"x = 4","option_b":"x = -4","option_c":"x = 2","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"c","explication":"En développant, on obtient 2x + 6 = 4x - 2 → 8 = 2x → x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"x = 4\", \"b\": \"x = -4\", \"c\": \"x = 2\", \"d\": \"x = -2\"}}","_debug_options_count":4},{"id":5322,"question":"Un triangle isocèle a :","option_a":"2 côtés égaux","option_b":"3 côtés égaux","option_c":"1 angle droit","option_d":"2 angles égaux","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, un triangle isocèle a deux côtés de même longueur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"2 côtés égaux\", \"b\": \"3 côtés égaux\", \"c\": \"1 angle droit\",","_debug_options_count":4},{"id":5323,"question":"Le volume d'un cube d'arête 3 cm est :","option_a":"9 cm³","option_b":"27 cm³","option_c":"12 cm³","option_d":"18 cm³","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le volume d'un cube est V = arête³ = 3³ = 27 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\": \"9 cm³\", \"b\": \"27 cm³\", \"c\": \"12 cm³\", \"d\": \"18 cm³\"}}","_debug_options_count":4},{"id":5324,"question":"Si 20% d'un nombre est 40, quel est ce nombre ?","option_a":"200","option_b":"800","option_c":"160","option_d":"400","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soit x le nombre : 0,2 × x = 40 → x = 40 \/ 0,2 = 200.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"200\", \"b\": \"800\", \"c\": \"160\", \"d\": \"400\"}}","_debug_options_count":4},{"id":5325,"question":"Un angle de 90° est appelé :","option_a":"angle aigu","option_b":"angle obtus","option_c":"angle droit","option_d":"angle plat","option_e":"","option_f":"","bonne_reponse":"c","explication":"Un angle de 90° est un angle droit.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"angle aigu\", \"b\": \"angle obtus\", \"c\": \"angle droit\", \"d\": \"angle ","_debug_options_count":4}]