Quiz interactif généré par IA à partir du document : corrsyn14M0708LPA.pdf
Question 1 sur 10 20:00
[{"id":24324,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 8","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 20, on soustrait 5 des deux côtés : 3x = 15, puis 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\", \"c\": \"x = 8\", \"d\": \"x = 10\"}}","_debug_options_count":4},{"id":24325,"question":"Un rectangle a une longueur de 8 cm et une largeur de 5 cm. Quel est son périmètre ?","option_a":"13 cm","option_b":"26 cm","option_c":"40 cm","option_d":"30 cm","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le périmètre d'un rectangle se calcule avec la formule P = 2 × (longueur + largeur). Ici, P = 2 × (8 + 5) = 26 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"13 cm\", \"b\": \"26 cm\", \"c\": \"40 cm\", \"d\": \"30 cm\"}}","_debug_options_count":4},{"id":24326,"question":"Vrai ou Faux ? La somme des angles d'un triangle est égale à 180 degrés.","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 : la somme des angles internes d'un triangle est toujours de 180 degrés.","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":24327,"question":"Quel est le résultat de (-7) + (+3) ?","option_a":"-10","option_b":"-4","option_c":"+4","option_d":"+10","option_e":"","option_f":"","bonne_reponse":"b","explication":"En additionnant un nombre négatif et un nombre positif, on soustrait les valeurs absolues et on garde le signe du nombre le plus grand en valeur absolue. Ici, -7 + 3 = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"-10\", \"b\": \"-4\", \"c\": \"+4\", \"d\": \"+10\"}}","_debug_options_count":4},{"id":24328,"question":"Vrai ou Faux ? L'aire d'un carré de côté 4 cm est de 16 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un carré se calcule avec la formule A = côté × côté. Ici, A = 4 × 4 = 16 cm², donc l'affirmation est 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":24329,"question":"Résoudre l'inéquation : 2x - 3 \u003E 7.","option_a":"x \u003E 5","option_b":"x \u003E 10","option_c":"x \u003C 5","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x - 3 \u003E 7, on ajoute 3 des deux côtés : 2x \u003E 10, puis on divise par 2 : x \u003E 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 \u003E 5\", \"b\": \"x \u003E 10\", \"c\": \"x \u003C 5\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":24330,"question":"Quel est le volume d'un cube de côté 3 cm ?","option_a":"9 cm³","option_b":"12 cm³","option_c":"27 cm³","option_d":"81 cm³","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le volume d'un cube se calcule avec la formule V = côté³. Ici, V = 3 × 3 × 3 = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"9 cm³\", \"b\": \"12 cm³\", \"c\": \"27 cm³\", \"d\": \"81 cm³\"}}","_debug_options_count":4},{"id":24331,"question":"Vrai ou Faux ? Le PGCD de 12 et 18 est 6.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les diviseurs de 12 sont 1, 2, 3, 4, 6, 12. Ceux de 18 sont 1, 2, 3, 6, 9, 18. Le plus grand diviseur commun est bien 6.","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":24332,"question":"Quelle est la valeur de x dans l'équation 4x = 2x + 10 ?","option_a":"x = 5","option_b":"x = 10","option_c":"x = 2","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 4x = 2x + 10, on soustrait 2x des deux côtés : 2x = 10, puis on divise par 2 : 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 = 10\", \"c\": \"x = 2\", \"d\": \"x = 0\"}}","_debug_options_count":4},{"id":24333,"question":"Vrai ou Faux ? Un parallélogramme a ses diagonales de même longueur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"C'est une propriété des rectangles et des carrés, mais pas des parallélogrammes en général. Les diagonales d'un parallélogramme se coupent en leur milieu mais ne sont pas nécessairement 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}]
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