Quiz Mathématiques : Algèbre, Géométrie et Fonctions — 9ème Année

Question 1 sur 10 10:00

[{"id":28388,"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":28389,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles, où le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28390,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"13 cm²","option_b":"40 cm²","option_c":"30 cm²","option_d":"26 cm²","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'aire d'un rectangle se calcule en multipliant la longueur par la largeur : 8 cm × 5 cm = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28391,"question":"La fonction f(x) = 2x + 3 est 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 = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28392,"question":"Quelle est la valeur de f(4) pour la fonction f(x) = x² - 2x + 1 ?","option_a":"16","option_b":"9","option_c":"11","option_d":"7","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour calculer f(4), on remplace x par 4 : f(4) = 4² - 2×4 + 1 = 16 - 8 + 1 = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28393,"question":"Le périmètre d'un carré de côté 6 cm est de 24 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 en multipliant le côté par 4 : 6 cm × 4 = 24 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28394,"question":"Résoudre l'équation 2(x + 3) = 14.","option_a":"x = 4","option_b":"x = 7","option_c":"x = 5","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On développe d'abord : 2x + 6 = 14, puis on soustrait 6 : 2x = 8, et enfin on divise par 2 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28395,"question":"La médiane d'un triangle est une droite qui passe par un sommet et le milieu du côté opposé.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une médiane d'un triangle est une droite qui relie un sommet au milieu du côté opposé.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28396,"question":"Quelle est la solution de l'équation x\/2 + 5 = 9 ?","option_a":"x = 8","option_b":"x = 4","option_c":"x = 10","option_d":"x = 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 5 des deux côtés : x\/2 = 4, puis on multiplie par 2 : x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28397,"question":"L'aire d'un triangle de base 10 cm et de hauteur 6 cm est de 30 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle se calcule avec la formule (base × hauteur) \/ 2 : (10 × 6) \/ 2 = 30 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]