Quiz — 4. Mathsd revision controle 1_2.pdf

Question 1 sur 10 20:00

[{"id":5726,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 5 des deux côtés donne 3x = 15, puis diviser par 3 donne 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 = 10\", \"d\": \"x = 7\"}}","_debug_options_count":4},{"id":5727,"question":"Le carré d'un nombre négatif est toujours positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un nombre négatif multiplié par lui-même donne un résultat positif (ex: (-3)² = 9).","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":5728,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"7","option_b":"5","option_c":"10","option_d":"13","option_e":"","option_f":"","bonne_reponse":"b","explication":"√(16) = 4 et √(9) = 3, donc 4 + 3 = 7. La réponse correcte est 7, mais l'option 5 est incorrecte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"7\", \"b\": \"5\", \"c\": \"10\", \"d\": \"13\"}}","_debug_options_count":4},{"id":5729,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est le théorème de Pythagore, une propriété fondamentale des 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},{"id":5730,"question":"Quelle est la valeur de x dans l'équation 2(x + 3) = 16 ?","option_a":"x = 5","option_b":"x = 10","option_c":"x = 7","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"c","explication":"Diviser par 2 donne x + 3 = 8, puis soustraire 3 donne x = 5. La réponse correcte est x = 5, mais l'option 7 est incorrecte.","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 = 5\", \"b\": \"x = 10\", \"c\": \"x = 7\", \"d\": \"x = 8\"}}","_debug_options_count":4},{"id":5731,"question":"L'aire d'un carré de côté 5 cm est de 25 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un carré se calcule par côté × côté, soit 5 × 5 = 25 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":5732,"question":"Quel est le résultat de (3\/4) ÷ (1\/2) ?","option_a":"3\/2","option_b":"3\/8","option_c":"1\/2","option_d":"6\/4","option_e":"","option_f":"","bonne_reponse":"a","explication":"Diviser par une fraction revient à multiplier par son inverse : (3\/4) × (2\/1) = 6\/4 = 3\/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\": \"3\/2\", \"b\": \"3\/8\", \"c\": \"1\/2\", \"d\": \"6\/4\"}}","_debug_options_count":4},{"id":5733,"question":"Dans un parallélogramme, les diagonales se coupent en leur milieu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété caractéristique des parallélogrammes.","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":5734,"question":"Quelle est la solution de l'inéquation 2x - 7 \u003E 3 ?","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 10","option_d":"x \u003C 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Ajouter 7 des deux côtés donne 2x \u003E 10, puis diviser par 2 donne x \u003E 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 \u003E 5\", \"b\": \"x \u003C 5\", \"c\": \"x \u003E 10\", \"d\": \"x \u003C 10\"}}","_debug_options_count":4},{"id":5735,"question":"Le périmètre d'un rectangle de longueur 8 cm et de largeur 3 cm est de 22 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le périmètre se calcule par 2 × (longueur + largeur) = 2 × (8 + 3) = 22 cm. La réponse est donc vraie.","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}]