Quiz — تمارين3.pdf

Question 1 sur 10 20:00

[{"id":76206,"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 = 2","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 = 10\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":76207,"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":76208,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"40 cm²","option_b":"26 cm²","option_c":"13 cm²","option_d":"30 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle se calcule en multipliant la longueur par la largeur : 8 cm × 5 cm = 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\": \"26 cm²\", \"c\": \"13 cm²\", \"d\": \"30 cm²\"}}","_debug_options_count":4},{"id":76209,"question":"Dans une classe de 30 élèves, 40% sont des filles. Combien y a-t-il de garçons ?","option_a":"12","option_b":"18","option_c":"20","option_d":"10","option_e":"","option_f":"","bonne_reponse":"b","explication":"40% de 30 élèves = 12 filles. Le nombre de garçons est donc 30 - 12 = 18.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"12\", \"b\": \"18\", \"c\": \"20\", \"d\": \"10\"}}","_debug_options_count":4},{"id":76210,"question":"La médiane d'une série statistique est toujours égale à la moyenne.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane et la moyenne sont deux indicateurs différents. La médiane est la valeur centrale, tandis que la moyenne est la somme des valeurs divisée par leur nombre.","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":76211,"question":"Quelle est la solution de l'inéquation 2x - 7 \u003E 3 ?","option_a":"x \u003E 5","option_b":"x \u003E 10","option_c":"x \u003C 5","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x - 7 \u003E 3, on ajoute 7 des deux côtés (2x \u003E 10), puis on divise par 2 (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 \u003E 10\", \"c\": \"x \u003C 5\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":76212,"question":"Un angle de 120° est un angle :","option_a":"Aigu","option_b":"Obtus","option_c":"Droit","option_d":"Plat","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un angle est obtus s'il est compris entre 90° et 180°. 120° est donc un angle obtus.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Aigu\", \"b\": \"Obtus\", \"c\": \"Droit\", \"d\": \"Plat\"}}","_debug_options_count":4},{"id":76213,"question":"La formule de l'aire d'un cercle est πr².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule correcte pour l'aire d'un cercle est π multiplié par le carré du rayon (πr²).","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":76214,"question":"Quelle est la valeur de x dans l'équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'équation x² - 9 = 0 se réécrit x² = 9. Les solutions sont donc x = 3 ou x = -3.","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 = 3\", \"b\": \"x = -3\", \"c\": \"x = 3 ou x = -3\", \"d\": \"x = 9\"}}","_debug_options_count":4},{"id":76215,"question":"Un prisme droit a pour base un triangle rectangle de côtés 3 cm, 4 cm et 5 cm. Quelle est son volume si sa hauteur est 10 cm ?","option_a":"60 cm³","option_b":"30 cm³","option_c":"120 cm³","option_d":"15 cm³","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire de la base (triangle rectangle) est (3 × 4) \/ 2 = 6 cm². Le volume du prisme est aire de la base × hauteur = 6 × 10 = 60 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"60 cm³\", \"b\": \"30 cm³\", \"c\": \"120 cm³\", \"d\": \"15 cm³\"}}","_debug_options_count":4}]