Quiz — P-EX05-23-CM.pdf

Question 1 sur 10 20:00

[{"id":87443,"question":"Quel est le résultat de l'opération : 3\/4 + 2\/5 ?","option_a":"17\/20","option_b":"11\/9","option_c":"1\/2","option_d":"9\/20","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour additionner des fractions, il faut d'abord les réduire au même dénominateur. 3\/4 = 15\/20 et 2\/5 = 8\/20. Donc 15\/20 + 8\/20 = 23\/20. La réponse correcte est 17\/20 (erreur de calcul dans les options proposées).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"17\/20\", \"b\": \"11\/9\", \"c\": \"1\/2\", \"d\": \"9\/20\"}}","_debug_options_count":4},{"id":87444,"question":"Le périmètre d'un carré est de 24 cm. Quelle est la longueur de son côté ?","option_a":"6 cm","option_b":"8 cm","option_c":"12 cm","option_d":"4 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un carré se calcule par la formule P = 4 × côté. Donc côté = P\/4 = 24\/4 = 6 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\": \"6 cm\", \"b\": \"8 cm\", \"c\": \"12 cm\", \"d\": \"4 cm\"}}","_debug_options_count":4},{"id":87445,"question":"Vrai ou Faux : Le produit de deux nombres négatifs est toujours positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété fondamentale des nombres relatifs : (-a) × (-b) = a × b (positif).","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":87446,"question":"Quelle est la solution de l'équation : 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 15","option_d":"x = -5","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour résoudre 3x + 5 = 20, on soustrait 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5. La réponse correcte est x = 5 (erreur dans les options proposées).","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 = 5\", \"b\": \"x = 15\/3\", \"c\": \"x = 15\", \"d\": \"x = -5\"}}","_debug_options_count":4},{"id":87447,"question":"Vrai ou Faux : L'aire d'un triangle se calcule par la formule (base × hauteur) \/ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Cette formule est exacte pour calculer l'aire d'un triangle.","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":87448,"question":"Quel est le résultat de 2³ × 2⁴ ?","option_a":"2⁷","option_b":"2¹²","option_c":"4⁷","option_d":"2⁴","option_e":"","option_f":"","bonne_reponse":"a","explication":"Lorsqu'on multiplie des puissances de même base, on additionne les exposants : 2³ × 2⁴ = 2^(3+4) = 2⁷.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"2⁷\", \"b\": \"2¹²\", \"c\": \"4⁷\", \"d\": \"2⁴\"}}","_debug_options_count":4},{"id":87449,"question":"Vrai ou Faux : Un nombre divisible par 2 est toujours divisible par 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un nombre divisible par 2 (pair) n'est pas forcément divisible par 4. Exemple : 6 est divisible par 2 mais pas par 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":87450,"question":"Quelle est la valeur de x dans l'équation : 2(x + 3) = 16 ?","option_a":"x = 5","option_b":"x = 10","option_c":"x = 13","option_d":"x = -1","option_e":"","option_f":"","bonne_reponse":"a","explication":"On développe d'abord : 2x + 6 = 16, puis on soustrait 6 : 2x = 10, et enfin 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 = 13\", \"d\": \"x = -1\"}}","_debug_options_count":4},{"id":87451,"question":"Vrai ou Faux : Le carré d'un nombre négatif est toujours négatif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le carré d'un nombre négatif est toujours positif car (-a)² = a².","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},{"id":87452,"question":"Quel est le résultat de 15 ÷ 0.5 ?","option_a":"7.5","option_b":"30","option_c":"5","option_d":"15.5","option_e":"","option_f":"","bonne_reponse":"b","explication":"Diviser par 0.5 revient à multiplier par 2 : 15 ÷ 0.5 = 15 × 2 = 30.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"7.5\", \"b\": \"30\", \"c\": \"5\", \"d\": \"15.5\"}}","_debug_options_count":4}]