Quiz — Challenging Mathematical Problems With Elementary Solutions 

Question 1 sur 10 20:00

[{"id":147488,"question":"Quel est le résultat de l'équation 2x + 5 = 11 ?","option_a":"x = 3","option_b":"x = 2","option_c":"x = 4","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 5 des deux côtés, on obtient 2x = 6, puis en divisant par 2, x = 3.","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 = 3\", \"b\": \"x = 2\", \"c\": \"x = 4\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":147489,"question":"La somme des angles d'un triangle est toujours 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 euclidienne.","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":147490,"question":"Quel est le prochain terme de la suite : 2, 5, 10, 17, 26, ... ?","option_a":"37","option_b":"35","option_c":"40","option_d":"30","option_e":"","option_f":"","bonne_reponse":"a","explication":"La suite suit la règle n² + 1 : 1²+1=2, 2²+1=5, 3²+1=10, etc. Le terme suivant est 6²+1=37.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"37\", \"b\": \"35\", \"c\": \"40\", \"d\": \"30\"}}","_debug_options_count":4},{"id":147491,"question":"Un carré a une aire de 64 cm². Quelle est la longueur de son côté ?","option_a":"8 cm","option_b":"4 cm","option_c":"16 cm","option_d":"32 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un carré est donnée par côté². Donc côté = √64 = 8 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\": \"8 cm\", \"b\": \"4 cm\", \"c\": \"16 cm\", \"d\": \"32 cm\"}}","_debug_options_count":4},{"id":147492,"question":"La racine carrée de 144 est 12.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"12 × 12 = 144, donc √144 = 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":147493,"question":"Quel est le résultat de (3 + 4) × 2 ?","option_a":"14","option_b":"17","option_c":"11","option_d":"21","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'abord, on calcule la parenthèse : 3 + 4 = 7, puis on multiplie par 2 : 7 × 2 = 14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"14\", \"b\": \"17\", \"c\": \"11\", \"d\": \"21\"}}","_debug_options_count":4},{"id":147494,"question":"Un rectangle a une longueur de 10 cm et une largeur de 6 cm. Quelle est son aire ?","option_a":"60 cm²","option_b":"32 cm²","option_c":"16 cm²","option_d":"50 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle est longueur × largeur = 10 × 6 = 60 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"60 cm²\", \"b\": \"32 cm²\", \"c\": \"16 cm²\", \"d\": \"50 cm²\"}}","_debug_options_count":4},{"id":147495,"question":"La médiane d'un triangle divise toujours l'angle en deux angles égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane relie un sommet au milieu du côté opposé, mais ne divise pas nécessairement l'angle en deux parties 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},{"id":147496,"question":"Quel est le résultat de 5! (factorielle de 5) ?","option_a":"120","option_b":"60","option_c":"25","option_d":"10","option_e":"","option_f":"","bonne_reponse":"a","explication":"5! = 5 × 4 × 3 × 2 × 1 = 120.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"120\", \"b\": \"60\", \"c\": \"25\", \"d\": \"10\"}}","_debug_options_count":4},{"id":147497,"question":"Un cercle a un rayon de 5 cm. Quelle est sa circonférence ? (π ≈ 3,14)","option_a":"31,4 cm","option_b":"15,7 cm","option_c":"25 cm","option_d":"78,5 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"La circonférence d'un cercle est 2πr = 2 × 3,14 × 5 ≈ 31,4 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\": \"31,4 cm\", \"b\": \"15,7 cm\", \"c\": \"25 cm\", \"d\": \"78,5 cm\"}}","_debug_options_count":4}]