Quiz Maths Seconde : Algèbre, Fonctions et Statistiques

Question 1 sur 10 10:00

[{"id":72142,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -12","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x des deux côtés, on obtient x - 7 = 5. Puis en ajoutant 7, x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72143,"question":"La fonction f(x) = -2x + 3 est-elle croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est -2 (négatif), donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72144,"question":"Quel est le coefficient directeur de la droite passant par les points A(1; 3) et B(4; 9) ?","option_a":"2","option_b":"3","option_c":"6","option_d":"1\/2","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur m = (9-3)\/(4-1) = 6\/3 = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72145,"question":"Dans une série statistique, si la moyenne est 15 et l'étendue est 10, quelle est la valeur maximale possible ?","option_a":"20","option_b":"25","option_c":"15","option_d":"10","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'étendue = max - min = 10. Si min = 5, alors max = 15. Mais si min = 0, max = 10. La valeur maximale possible est donc 25 (si min = 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72146,"question":"L'équation x² - 4x + 4 = 0 a-t-elle deux solutions réelles distinctes ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant Δ = (-4)² - 4*1*4 = 0. Il y a donc une solution double (x = 2).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72147,"question":"Quelle est l'image de 5 par la fonction f(x) = 0.5x² - 3x + 2 ?","option_a":"-2.5","option_b":"2.5","option_c":"12.5","option_d":"-12.5","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(5) = 0.5*(25) - 15 + 2 = 12.5 - 15 + 2 = -0.5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72148,"question":"Dans un diagramme en bâtons, si la fréquence de la valeur 7 est 0.25, quel est le pourcentage correspondant ?","option_a":"25%","option_b":"0.25%","option_c":"2.5%","option_d":"7%","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fréquence de 0.25 correspond à 25% (0.25 * 100).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72149,"question":"La médiane d'une série de 5 nombres est toujours le troisième nombre trié.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, pour un nombre impair de données (n=5), la médiane est la 3ème valeur triée.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72150,"question":"Résoudre l'inéquation 2(x - 3) \u003E 4x + 1.","option_a":"x \u003C -3.5","option_b":"x \u003E -3.5","option_c":"x \u003C 3.5","option_d":"x \u003E 3.5","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x - 6 \u003E 4x + 1 → -6 -1 \u003E 2x → -7 \u003E 2x → x \u003C -3.5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72151,"question":"Quelle est la nature de la fonction f(x) = 3\/(x-2) ?","option_a":"Affine","option_b":"Homographique","option_c":"Constante","option_d":"Exponentielle","option_e":"","option_f":"","bonne_reponse":"B","explication":"Il s'agit d'une fonction homographique (fraction rationnelle de degré 1 au numérateur et dénominateur).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]