Quiz — P-EX05-17-CM.pdf

Question 1 sur 10 20:00

[{"id":59224,"question":"Quelle est la solution de l'équation 3x - 5 = 16 ?","option_a":"x = 7","option_b":"x = 10","option_c":"x = 11","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 16, on ajoute 5 des deux côtés : 3x = 21, puis on divise par 3 : x = 7.","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 = 7\", \"b\": \"x = 10\", \"c\": \"x = 11\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":59225,"question":"Le théorème de Pythagore s'applique 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 valable uniquement pour les triangles rectangles, où le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","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":59226,"question":"Quelle est la valeur de x dans l'équation 2(x + 4) = 30 ?","option_a":"x = 11","option_b":"x = 13","option_c":"x = 7","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"b","explication":"En développant, on obtient 2x + 8 = 30. On soustrait 8 : 2x = 22, puis on divise par 2 : x = 11. Attention à ne pas confondre avec x = 13.","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 = 11\", \"b\": \"x = 13\", \"c\": \"x = 7\", \"d\": \"x = 9\"}}","_debug_options_count":4},{"id":59227,"question":"Si un triangle a des côtés de longueurs 5 cm, 12 cm et 13 cm, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"On vérifie avec le théorème de Pythagore : 5² + 12² = 25 + 144 = 169 = 13². Le triangle est donc rectangle.","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":59228,"question":"Quelle est la fraction irréductible de 18\/24 ?","option_a":"3\/4","option_b":"9\/12","option_c":"6\/8","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"On simplifie 18\/24 en divisant numérateur et dénominateur par 6 : 18 ÷ 6 = 3 et 24 ÷ 6 = 4. La fraction irréductible est donc 3\/4.","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\/4\", \"b\": \"9\/12\", \"c\": \"6\/8\", \"d\": \"2\/3\"}}","_debug_options_count":4},{"id":59229,"question":"Dans un triangle isocèle, les angles à la base sont toujours égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, un triangle isocèle a deux côtés égaux et les angles opposés à ces côtés sont égaux. C'est une propriété fondamentale.","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":59230,"question":"Résolvez l'équation : 5x + 2 = 3x + 10.","option_a":"x = 4","option_b":"x = 2","option_c":"x = 6","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"a","explication":"On soustrait 3x des deux côtés : 2x + 2 = 10. Puis on soustrait 2 : 2x = 8. Enfin, on divise par 2 : x = 4.","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 = 4\", \"b\": \"x = 2\", \"c\": \"x = 6\", \"d\": \"x = 8\"}}","_debug_options_count":4},{"id":59231,"question":"Un carré a un périmètre de 20 cm. Quelle est la longueur de son côté ?","option_a":"5 cm","option_b":"4 cm","option_c":"10 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un carré est 4 × côté. Donc 4 × côté = 20 cm → côté = 20 ÷ 4 = 5 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\": \"5 cm\", \"b\": \"4 cm\", \"c\": \"10 cm\", \"d\": \"8 cm\"}}","_debug_options_count":4},{"id":59232,"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 géométrique fondamentale : dans tout triangle, la somme des mesures des trois angles est égale à 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":59233,"question":"Quelle est la valeur de x dans l'équation : (x\/2) + 3 = 7 ?","option_a":"x = 8","option_b":"x = 4","option_c":"x = 10","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"On soustrait 3 des deux côtés : x\/2 = 4. Puis on multiplie par 2 : 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\": \"x = 8\", \"b\": \"x = 4\", \"c\": \"x = 10\", \"d\": \"x = 6\"}}","_debug_options_count":4}]