Quiz interactif généré par IA à partir du document : DS 7 salmane 2012-2013.pdf
Question 1 sur 10 20:00
[{"id":8345,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 45\/3","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 = 45\/3\", \"d\": \"x = 10\"}}","_debug_options_count":4},{"id":8346,"question":"Le périmètre d'un carré de côté 4 cm est égal à 16 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un carré se calcule par 4 × côté. Ici, 4 × 4 = 16 cm, donc c'est vrai.","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":8347,"question":"Quelle est la fraction irréductible de 18\/24 ?","option_a":"3\/4","option_b":"6\/8","option_c":"9\/12","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"On simplifie 18\/24 en divisant numérateur et dénominateur par 6, ce qui donne 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\": \"6\/8\", \"c\": \"9\/12\", \"d\": \"2\/3\"}}","_debug_options_count":4},{"id":8348,"question":"Si un rectangle a une longueur de 8 cm et une largeur de 3 cm, son aire est de :","option_a":"22 cm²","option_b":"24 cm²","option_c":"11 cm²","option_d":"48 cm²","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'aire d'un rectangle se calcule par longueur × largeur. Ici, 8 × 3 = 24 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"22 cm²\", \"b\": \"24 cm²\", \"c\": \"11 cm²\", \"d\": \"48 cm²\"}}","_debug_options_count":4},{"id":8349,"question":"La somme de deux angles complémentaires est toujours égale à 90°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux angles sont complémentaires si leur somme est 90°, donc c'est vrai.","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":8350,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 10 ?","option_a":"x = 8","option_b":"x = 5","option_c":"x = 6","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"a","explication":"On développe d'abord : 2x - 6 = 10. Puis on ajoute 6 (2x = 16) et on divise 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 = 5\", \"c\": \"x = 6\", \"d\": \"x = 7\"}}","_debug_options_count":4},{"id":8351,"question":"Un triangle rectangle a un côté de 6 cm et un autre de 8 cm. Quelle est la longueur de l'hypoténuse ?","option_a":"10 cm","option_b":"14 cm","option_c":"12 cm","option_d":"7 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore, l'hypoténuse = √(6² + 8²) = √(36 + 64) = √100 = 10 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\": \"10 cm\", \"b\": \"14 cm\", \"c\": \"12 cm\", \"d\": \"7 cm\"}}","_debug_options_count":4},{"id":8352,"question":"Pour calculer 25% d'un nombre, on multiplie ce nombre par 0,25.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"25% correspond à 25\/100 = 0,25, donc multiplier par 0,25 donne bien 25% du nombre.","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":8353,"question":"Quelle est la solution de l'inéquation 5x - 7 \u003C 18 ?","option_a":"x \u003C 5","option_b":"x \u003E 5","option_c":"x \u003C 25\/5","option_d":"x \u003E 25\/5","option_e":"","option_f":"","bonne_reponse":"a","explication":"On ajoute 7 (5x \u003C 25), puis on divise par 5 (x \u003C 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 \u003C 5\", \"b\": \"x \u003E 5\", \"c\": \"x \u003C 25\/5\", \"d\": \"x \u003E 25\/5\"}}","_debug_options_count":4},{"id":8354,"question":"Un cercle a un rayon de 5 cm. Quelle est sa circonférence ?","option_a":"10π cm","option_b":"25π cm","option_c":"5π cm","option_d":"31,4 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"La circonférence d'un cercle se calcule par 2πr. Ici, 2 × π × 5 = 10π 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\": \"10π cm\", \"b\": \"25π cm\", \"c\": \"5π cm\", \"d\": \"31,4 cm\"}}","_debug_options_count":4}]
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