Maths 3ème année secondaire : Testez vos connaissances en algèbre et géométrie

Question 1 sur 10 10:00

[{"id":28458,"question":"Quelle est la solution de l'équation 3x² - 12x = 0 ?","option_a":"x = 0 ou x = 4","option_b":"x = 0 ou x = -4","option_c":"x = 3 ou x = 4","option_d":"x = 3 ou x = -3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Factorisez l'équation : 3x(x - 4) = 0. Les solutions sont x = 0 et x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28459,"question":"La fonction f(x) = 2x + 5 est-elle une fonction linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit f(x) = ax. Ici, f(x) = 2x + 5 est affine, pas linéaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28460,"question":"Quel est le coefficient directeur de la droite d'équation y = -3x + 7 ?","option_a":"-3","option_b":"7","option_c":"3","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est le nombre devant x, ici -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28461,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"4 cm","option_c":"√136 cm","option_d":"√64 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Appliquez le théorème de Pythagore : 10² = 6² + x² → x = √(100-36) = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28462,"question":"La moyenne de 5 notes : 12, 15, 10, 8 et 14 est-elle égale à 11,8 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Calculez la moyenne : (12+15+10+8+14)\/5 = 59\/5 = 11,8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28463,"question":"Quelle est l'image de -2 par la fonction f(x) = x² - 3x + 1 ?","option_a":"11","option_b":"3","option_c":"-9","option_d":"15","option_e":"","option_f":"","bonne_reponse":"A","explication":"Remplacez x par -2 : f(-2) = (-2)² - 3*(-2) + 1 = 4 + 6 + 1 = 11.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28464,"question":"Un angle inscrit dans un cercle mesure 40°. Quelle est la mesure de l'angle au centre correspondant ?","option_a":"20°","option_b":"40°","option_c":"80°","option_d":"140°","option_e":"","option_f":"","bonne_reponse":"C","explication":"L'angle au centre est le double de l'angle inscrit : 40° * 2 = 80°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28465,"question":"La médiane d'une série de 7 nombres est toujours le 4ème nombre rangé par ordre croissant.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour un nombre impair de données, la médiane est bien la valeur centrale.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28466,"question":"Résolvez l'inéquation : 2x - 5 \u003E 3x + 1.","option_a":"x \u003C -6","option_b":"x \u003E -6","option_c":"x \u003C 6","option_d":"x \u003E 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x - 5 \u003E 3x + 1 → -x \u003E 6 → x \u003C -6 (en divisant par un nombre négatif, on inverse le sens).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28467,"question":"Quel est le volume d'un cylindre de rayon 3 cm et de hauteur 5 cm ? (Prendre π ≈ 3,14)","option_a":"141,3 cm³","option_b":"94,2 cm³","option_c":"47,1 cm³","option_d":"282,6 cm³","option_e":"","option_f":"","bonne_reponse":"A","explication":"Volume = π * r² * h = 3,14 * 9 * 5 ≈ 141,3 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]