Quiz — exercices avec solutions.docx

Question 1 sur 10 20:00

[{"id":138976,"question":"Quel est le résultat de l'expression suivante : 3 × (5 + 2) ?","option_a":"17","option_b":"21","option_c":"15","option_d":"20","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'ordre des opérations (PEMDAS\/BODMAS) impose de calculer d'abord les parenthèses : 5 + 2 = 7, puis la multiplication : 3 × 7 = 21.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"17\", \"b\": \"21\", \"c\": \"15\", \"d\": \"20\"}}","_debug_options_count":4},{"id":138977,"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 plane : la somme des angles internes d'un triangle est toujours de 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":138978,"question":"Résolvez l'équation : 2x + 5 = 11. Quelle est la valeur de x ?","option_a":"3","option_b":"4","option_c":"2","option_d":"5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 5 des deux côtés : 2x = 6, puis diviser 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\": \"3\", \"b\": \"4\", \"c\": \"2\", \"d\": \"5\"}}","_debug_options_count":4},{"id":138979,"question":"Le périmètre 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":"b","explication":"Le périmètre est une longueur (4 × 4 = 16 cm), tandis que l'aire est de 16 cm². La question confond les deux notions.","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":138980,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"6x + 2","option_b":"3x + 2","option_c":"6x² + 2x","option_d":"3x² + 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de 3x² est 6x, celle de 2x est 2, et celle de -5 est 0. Donc f'(x) = 6x + 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"6x + 2\", \"b\": \"3x + 2\", \"c\": \"6x² + 2x\", \"d\": \"3x² + 2\"}}","_debug_options_count":4},{"id":138981,"question":"Un nombre est divisible par 3 si la somme de ses chiffres est divisible par 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une règle de divisibilité bien connue en arithmétique.","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":138982,"question":"Calculez la valeur de l'expression : (8 + 2) × (6 - 3).","option_a":"30","option_b":"25","option_c":"35","option_d":"40","option_e":"","option_f":"","bonne_reponse":"a","explication":"Calcul des parenthèses : (8 + 2) = 10 et (6 - 3) = 3, puis multiplication : 10 × 3 = 30.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"30\", \"b\": \"25\", \"c\": \"35\", \"d\": \"40\"}}","_debug_options_count":4},{"id":138983,"question":"L'équation x² - 4x + 4 = 0 a deux solutions réelles distinctes.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'équation se factorise en (x - 2)² = 0, donc elle a une solution unique : x = 2 (solution double).","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":138984,"question":"Quel est le résultat de 15 ÷ (3 + 2) ?","option_a":"3","option_b":"5","option_c":"7","option_d":"10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Calcul des parenthèses : 3 + 2 = 5, puis division : 15 ÷ 5 = 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\": \"3\", \"b\": \"5\", \"c\": \"7\", \"d\": \"10\"}}","_debug_options_count":4},{"id":138985,"question":"La fonction f(x) = x³ est une fonction paire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction paire vérifie f(-x) = f(x). Ici, f(-x) = (-x)³ = -x³ ≠ f(x), donc elle est impaire.","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}]