Quiz — Devoir de controle n1.pdf

Question 1 sur 10 20:00

[{"id":19519,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 7","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 = 7\", \"d\": \"x = 10\"}}","_debug_options_count":4},{"id":19520,"question":"La fraction 12\/18 est-elle irréductible ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"12\/18 peut être simplifiée par 6 : 12 ÷ 6 = 2 et 18 ÷ 6 = 3, donc 2\/3.","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":19521,"question":"Quel est le résultat de 3\/4 + 2\/5 ?","option_a":"5\/9","option_b":"15\/20","option_c":"23\/20","option_d":"6\/20","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le dénominateur commun est 20. 3\/4 = 15\/20 et 2\/5 = 8\/20. 15\/20 + 8\/20 = 23\/20.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"5\/9\", \"b\": \"15\/20\", \"c\": \"23\/20\", \"d\": \"6\/20\"}}","_debug_options_count":4},{"id":19522,"question":"Dans un triangle rectangle, si les côtés de l'angle droit mesurent 6 cm et 8 cm, quelle est la longueur de l'hypoténuse ?","option_a":"10 cm","option_b":"12 cm","option_c":"14 cm","option_d":"16 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : 6² + 8² = 36 + 64 = 100. √100 = 10 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\": \"10 cm\", \"b\": \"12 cm\", \"c\": \"14 cm\", \"d\": \"16 cm\"}}","_debug_options_count":4},{"id":19523,"question":"L'équation 2x - 7 = 3x + 1 a pour solution x = -8.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolvez l'équation : 2x - 7 = 3x + 1 → -7 - 1 = 3x - 2x → x = -8.","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":19524,"question":"Quel est le résultat de 5\/6 × 3\/4 ?","option_a":"15\/24","option_b":"5\/8","option_c":"8\/15","option_d":"15\/10","option_e":"","option_f":"","bonne_reponse":"b","explication":"Multipliez les numérateurs : 5 × 3 = 15. Multipliez les dénominateurs : 6 × 4 = 24. Simplifiez 15\/24 par 3 : 5\/8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"15\/24\", \"b\": \"5\/8\", \"c\": \"8\/15\", \"d\": \"15\/10\"}}","_debug_options_count":4},{"id":19525,"question":"Un triangle rectangle a une hypoténuse de 13 cm et un côté de 5 cm. Quelle est la longueur du troisième côté ?","option_a":"10 cm","option_b":"12 cm","option_c":"14 cm","option_d":"16 cm","option_e":"","option_f":"","bonne_reponse":"b","explication":"D'après le théorème de Pythagore : 13² - 5² = 169 - 25 = 144. √144 = 12 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\": \"12 cm\", \"c\": \"14 cm\", \"d\": \"16 cm\"}}","_debug_options_count":4},{"id":19526,"question":"La fraction 7\/0 est-elle définie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fraction avec un dénominateur égal à 0 n'est pas définie en mathématiques.","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":19527,"question":"Quelle est la solution de l'équation 4(x - 2) = 2x + 8 ?","option_a":"x = 6","option_b":"x = 8","option_c":"x = 4","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"c","explication":"Développez : 4x - 8 = 2x + 8 → 4x - 2x = 8 + 8 → 2x = 16 → x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"x = 6\", \"b\": \"x = 8\", \"c\": \"x = 4\", \"d\": \"x = 10\"}}","_debug_options_count":4},{"id":19528,"question":"Le théorème de Pythagore s'applique-t-il uniquement aux triangles rectangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore est spécifique aux triangles rectangles.","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}]