Quiz Maths 1ère Année : Algèbre, Géométrie et Statistiques

Question 1 sur 10 10:00

[{"id":10593,"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 aux deux membres (3x = 15) puis on divise par 3 (x = 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10594,"question":"Un triangle rectangle a un angle de 30°. Quel est la mesure du troisième angle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La somme des angles d'un triangle est 180°. Si deux angles sont 90° et 30°, le troisième est 60°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10595,"question":"Quelle est l'image de x = 2 par la fonction 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":"Substituez x par 2 dans f(x) = 3x + 1 : f(2) = 3*2 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10596,"question":"Dans un tableau de données, la médiane est toujours égale à la moyenne.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane et la moyenne sont égales uniquement si la distribution est symétrique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10597,"question":"Quelle est la forme développée de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² - x - 6","option_c":"x² + 5x - 6","option_d":"x² + x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez : x*x + x*(-2) + 3*x + 3*(-2) = x² + x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10598,"question":"Un cercle a un rayon de 5 cm. Quelle est sa circonférence ?","option_a":"10π cm","option_b":"25π cm","option_c":"5π cm","option_d":"20π cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"La circonférence d'un cercle est 2πr. Ici, 2π*5 = 10π cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10599,"question":"Si f(x) = 2x² - 3x + 1, que vaut f(-1) ?","option_a":"f(-1) = 6","option_b":"f(-1) = -4","option_c":"f(-1) = 0","option_d":"f(-1) = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Substituez x par -1 : f(-1) = 2*(-1)² - 3*(-1) + 1 = 2 + 3 + 1 = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10600,"question":"La somme des angles d'un quadrilatère est toujours 360°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un quadrilatère peut être décomposé en deux triangles, chacun ayant une somme de 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10601,"question":"Quelle est la solution de l'inéquation 2x + 7 \u003E 15 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E -4","option_d":"x \u003C -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 7 des deux côtés (2x \u003E 8) puis diviser par 2 (x \u003E 4).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10602,"question":"Un rectangle a une longueur de 8 cm et une largeur de 3 cm. Quelle est son aire ?","option_a":"24 cm²","option_b":"11 cm²","option_c":"22 cm²","option_d":"16 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle est longueur × largeur : 8 × 3 = 24 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]