Quiz — mid-term-test-B.pdf

Question 1 sur 10 20:00

[{"id":163551,"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, on soustrait 5 des deux côtés : 3x = 15, puis on divise 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":163552,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","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":163553,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 8 ?","option_a":"x = 7","option_b":"x = 5","option_c":"x = 10","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"On développe d'abord : 2x - 6 = 8, puis on ajoute 6 : 2x = 14, et enfin on divise par 2 : 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 = 5\", \"c\": \"x = 10\", \"d\": \"x = 4\"}}","_debug_options_count":4},{"id":163554,"question":"Si un triangle a des côtés de longueurs 3 cm, 4 cm et 5 cm, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Oui, car 3² + 4² = 5² (9 + 16 = 25), ce qui vérifie le théorème de Pythagore.","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":163555,"question":"Quelle est la fraction irréductible de 12\/18 ?","option_a":"2\/3","option_b":"4\/6","option_c":"6\/9","option_d":"1\/2","option_e":"","option_f":"","bonne_reponse":"a","explication":"On simplifie 12\/18 en divisant le numérateur et le dénominateur par 6 : 2\/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\": \"2\/3\", \"b\": \"4\/6\", \"c\": \"6\/9\", \"d\": \"1\/2\"}}","_debug_options_count":4},{"id":163556,"question":"L'équation 4x - 7 = 2x + 5 a pour solution x = 6.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant : 4x - 2x = 5 + 7 → 2x = 12 → x = 6. La solution est correcte.","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":163557,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"40 cm²","option_b":"30 cm²","option_c":"20 cm²","option_d":"13 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle se calcule par longueur × largeur : 8 × 5 = 40 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\": \"40 cm²\", \"b\": \"30 cm²\", \"c\": \"20 cm²\", \"d\": \"13 cm²\"}}","_debug_options_count":4},{"id":163558,"question":"La somme de deux fractions de dénominateurs différents peut être calculée directement.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Non, il faut d'abord trouver un dénominateur commun avant d'additionner.","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":163559,"question":"Quelle est la solution de l'équation 5x\/2 = 15 ?","option_a":"x = 6","option_b":"x = 3","option_c":"x = 10","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"On multiplie les deux côtés par 2 : 5x = 30, puis on divise par 5 : x = 6.","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 = 6\", \"b\": \"x = 3\", \"c\": \"x = 10\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":163560,"question":"Un triangle isocèle a toujours deux angles égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Oui, par définition, un triangle isocèle a deux côtés égaux et donc deux angles égaux.","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}]