Maths 3ème : Algèbre, Géométrie & Statistiques — Quiz de Révision

Question 1 sur 10 10:00

[{"id":9843,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'équation se factorise en (x-2)(x-3)=0, donc les solutions sont x=2 et x=3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9844,"question":"La fonction f(x) = 2x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x)=ax+b, ce qui est le cas ici avec a=2 et b=1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9845,"question":"Quel est le volume d'un cylindre de rayon 3 cm et de hauteur 5 cm ?","option_a":"15π cm³","option_b":"45π cm³","option_c":"30π cm³","option_d":"9π cm³","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le volume d'un cylindre est πr²h = π×3²×5 = 45π cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9846,"question":"La moyenne de 5 notes : 12, 14, 10, 16, 13 est-elle égale à 13 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La moyenne est (12+14+10+16+13)\/5 = 65\/5 = 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9847,"question":"Quelle est la dérivée de la fonction f(x) = x³ - 2x² + 5x - 1 ?","option_a":"f'(x) = 3x² - 4x + 5","option_b":"f'(x) = x² - 2x + 5","option_c":"f'(x) = 3x² - 2x + 5","option_d":"f'(x) = x³ - 4x + 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d'un polynôme s'obtient en appliquant la règle de dérivation terme à terme : 3x² - 4x + 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9848,"question":"Un dé équilibré à 6 faces est lancé. Quelle est la probabilité d'obtenir un nombre pair ?","option_a":"1\/6","option_b":"1\/3","option_c":"1\/2","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"C","explication":"Les nombres pairs sont 2, 4 et 6, soit 3 cas favorables sur 6 possibles : 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9849,"question":"La droite d'équation y = -2x + 3 a-t-elle un coefficient directeur négatif ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est -2, qui est bien négatif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9850,"question":"Quelle est la solution de l'inéquation 3x - 7 ≤ 2x + 5 ?","option_a":"x ≤ 12","option_b":"x ≤ 5","option_c":"x ≥ 12","option_d":"x ≥ 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x - 2x ≤ 5 + 7 → x ≤ 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9851,"question":"Un triangle rectangle a pour côtés 3 cm, 4 cm et 5 cm. Quelle est son aire ?","option_a":"6 cm²","option_b":"12 cm²","option_c":"10 cm²","option_d":"8 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle rectangle est (côté1 × côté2)\/2 = (3×4)\/2 = 6 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9852,"question":"La fonction f(x) = 1\/x est-elle définie pour x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x)=1\/x n'est pas définie en x=0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]