Quiz — 2002m1.pdf

Question 1 sur 10 20:00

[{"id":67651,"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":67652,"question":"Un triangle rectangle a un angle de 30°. Quel est la mesure de l'autre angle aigu ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme des angles d'un triangle est 180°. Si un angle est 90° et un autre 30°, le troisième mesure 60° (180 - 90 - 30 = 60). 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":67653,"question":"Quelle est la formule de l'aire d'un rectangle de longueur L et de largeur l ?","option_a":"A = L + l","option_b":"A = L × l","option_c":"A = 2(L + l)","option_d":"A = π × L × l","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'aire d'un rectangle se calcule en multipliant sa longueur par sa largeur : A = L × l.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A = L + l\", \"b\": \"A = L × l\", \"c\": \"A = 2(L + l)\", \"d\": \"A = π ","_debug_options_count":4},{"id":67654,"question":"Un cercle a un rayon de 4 cm. Quelle est sa circonférence ?","option_a":"8π cm","option_b":"16π cm","option_c":"4π cm","option_d":"32π cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"La circonférence d'un cercle se calcule avec la formule C = 2πr. Ici, C = 2 × π × 4 = 8π 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\": \"8π cm\", \"b\": \"16π cm\", \"c\": \"4π cm\", \"d\": \"32π cm\"}}","_debug_options_count":4},{"id":67655,"question":"Dans une équation, si on ajoute le même nombre aux deux membres, l'égalité reste-t-elle vraie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Oui, c'est une propriété fondamentale des équations : si a = b, alors a + c = b + c pour tout nombre c.","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":67656,"question":"Quel est le périmètre d'un carré de côté 5 cm ?","option_a":"10 cm","option_b":"20 cm","option_c":"25 cm","option_d":"5 cm","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le périmètre d'un carré se calcule en multipliant la longueur d'un côté par 4 : 5 × 4 = 20 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\": \"10 cm\", \"b\": \"20 cm\", \"c\": \"25 cm\", \"d\": \"5 cm\"}}","_debug_options_count":4},{"id":67657,"question":"Un parallélogramme a deux côtés parallèles de longueurs 6 cm et 8 cm. Quel est son périmètre ?","option_a":"14 cm","option_b":"28 cm","option_c":"48 cm","option_d":"24 cm","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un parallélogramme a des côtés opposés égaux. Son périmètre est donc 2 × (6 + 8) = 28 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\": \"14 cm\", \"b\": \"28 cm\", \"c\": \"48 cm\", \"d\": \"24 cm\"}}","_debug_options_count":4},{"id":67658,"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 un théorème fondamental en géométrie : la somme des angles internes d'un triangle est toujours 180°.","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":67659,"question":"Résolvez l'équation : 2x - 7 = 3x + 5.","option_a":"x = -12","option_b":"x = 12","option_c":"x = -2","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x - 7 = 3x + 5, soustrayez 2x des deux côtés : -7 = x + 5, puis soustrayez 5 : x = -12.","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 = -12\", \"b\": \"x = 12\", \"c\": \"x = -2\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":67660,"question":"Un rectangle a une longueur de 10 cm et une largeur de 4 cm. Quelle est son aire ?","option_a":"14 cm²","option_b":"28 cm²","option_c":"40 cm²","option_d":"10 cm²","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'aire d'un rectangle se calcule en multipliant sa longueur par sa largeur : 10 × 4 = 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\": \"14 cm²\", \"b\": \"28 cm²\", \"c\": \"40 cm²\", \"d\": \"10 cm²\"}}","_debug_options_count":4}]