Quiz — ds10910Red.pdf

Question 1 sur 10 20:00

[{"id":11773,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = -5","option_d":"x = 25\/3","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 = -5\", \"d\": \"x = 25\/3\"}}","_debug_options_count":4},{"id":11774,"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":11775,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 4 ?","option_a":"x = 5","option_b":"x = 1","option_c":"x = 3","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Développez d'abord : 2x - 6 = 4, puis ajoutez 6 : 2x = 10, et divisez par 2 : 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 = 1\", \"c\": \"x = 3\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":11776,"question":"Si un triangle rectangle a des côtés de 3 cm et 4 cm, quelle est la longueur de l'hypoténuse ?","option_a":"5 cm","option_b":"6 cm","option_c":"7 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : 3² + 4² = 9 + 16 = 25, donc l'hypoténuse est √25 = 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\": \"6 cm\", \"c\": \"7 cm\", \"d\": \"8 cm\"}}","_debug_options_count":4},{"id":11777,"question":"La fraction 12\/18 peut être simplifiée en :","option_a":"2\/3","option_b":"4\/6","option_c":"6\/9","option_d":"3\/4","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le PGCD de 12 et 18 est 6, donc 12\/18 = (12÷6)\/(18÷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\": \"3\/4\"}}","_debug_options_count":4},{"id":11778,"question":"Un carré a une aire de 64 cm². Quelle est la longueur de son côté ?","option_a":"8 cm","option_b":"16 cm","option_c":"4 cm","option_d":"32 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un carré est côté × côté, donc si l'aire est 64 cm², le côté est √64 = 8 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\": \"8 cm\", \"b\": \"16 cm\", \"c\": \"4 cm\", \"d\": \"32 cm\"}}","_debug_options_count":4},{"id":11779,"question":"L'équation 5x - 2 = 3x + 4 a pour solution :","option_a":"x = 3","option_b":"x = -3","option_c":"x = 1","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 3x des deux côtés : 2x - 2 = 4, puis ajouter 2 : 2x = 6, et 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\": \"x = 3\", \"b\": \"x = -3\", \"c\": \"x = 1\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":11780,"question":"Un triangle isocèle a deux côtés égaux à 5 cm et une base de 6 cm. Peut-on appliquer le théorème de Pythagore pour trouver la hauteur ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Oui, en divisant le triangle en deux triangles rectangles, on peut appliquer 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":11781,"question":"Quelle est la valeur de 3² + 4² ?","option_a":"25","option_b":"14","option_c":"7","option_d":"12","option_e":"","option_f":"","bonne_reponse":"a","explication":"3² = 9 et 4² = 16, donc 9 + 16 = 25.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"25\", \"b\": \"14\", \"c\": \"7\", \"d\": \"12\"}}","_debug_options_count":4},{"id":11782,"question":"Si un rectangle a une longueur de 8 cm et une largeur de 5 cm, quelle est son aire ?","option_a":"40 cm²","option_b":"13 cm²","option_c":"30 cm²","option_d":"26 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle est longueur × largeur, donc 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\": \"13 cm²\", \"c\": \"30 cm²\", \"d\": \"26 cm²\"}}","_debug_options_count":4}]