Quiz Mathématiques : Algèbre, Géométrie et Fonctions — 3ème Année

Question 1 sur 10 10:00

[{"id":57481,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57482,"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},{"id":57483,"question":"Quelle est l'image de 2 par la fonction affine f(x) = 3x + 1 ?","option_a":"f(2) = 7","option_b":"f(2) = 5","option_c":"f(2) = 6","option_d":"f(2) = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour f(x) = 3x + 1, l'image de 2 est f(2) = 3*2 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57484,"question":"L'aire d'un rectangle de longueur 8 cm et de largeur 5 cm est de :","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 se calcule par longueur × largeur, soit 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57485,"question":"La représentation graphique d'une fonction affine est toujours une droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine est de la forme f(x) = ax + b, sa représentation graphique est toujours une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57486,"question":"Quelle est la solution du système d'équations { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"B","explication":"En résolvant le système, on trouve x = 2 et y = 1. Vérification : 2*2 + 1 = 5 et 2 - 1 = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57487,"question":"Le volume d'un cube d'arête 4 cm est de :","option_a":"16 cm³","option_b":"64 cm³","option_c":"8 cm³","option_d":"32 cm³","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le volume d'un cube se calcule par arête³, soit 4³ = 64 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57488,"question":"Une inéquation du type 2x + 3 \u003E 7 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant 2x + 3 \u003E 7, on obtient 2x \u003E 4, puis x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57489,"question":"La fonction f(x) = -2x + 4 est décroissante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine est décroissante si son coefficient directeur est négatif. Ici, -2 \u003C 0, donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":57490,"question":"Quelle est la pente de la droite d'équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La pente d'une droite d'équation y = ax + b est donnée par le coefficient a. Ici, a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]