Quiz Mathématiques : Algèbre et Géométrie pour la 1ère Année Secondaire

Question 1 sur 10 10:00

[{"id":76272,"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":76273,"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":76274,"question":"Quel est le périmètre d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"26 cm","option_b":"40 cm","option_c":"13 cm","option_d":"30 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un rectangle se calcule par P = 2 × (longueur + largeur) = 2 × (8 + 5) = 26 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76275,"question":"L'équation x² = 16 a deux solutions réelles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les solutions sont x = 4 et x = -4, donc il y a bien deux solutions réelles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76276,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 2 ?","option_a":"0","option_b":"2","option_c":"-2","option_d":"4","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x par 2 : f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0. L'image est donc 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76277,"question":"Un triangle rectangle a un angle de 30°. L'autre angle non droit mesure 60°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans un triangle rectangle, la somme des angles est 180°. Si un angle est 90° et un autre 30°, le troisième est 60°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76278,"question":"Résoudre 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 : 2x \u003E 8, puis diviser par 2 : x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76279,"question":"Le volume d'un cube d'arête 3 cm est 27 cm³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube se calcule par V = arête³ = 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76280,"question":"Quelle est la pente de la droite d'équation y = -2x + 5 ?","option_a":"-2","option_b":"5","option_c":"2","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans une équation de droite y = ax + b, a représente la pente. Ici, a = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76281,"question":"Un parallélogramme a ses diagonales qui se coupent en leur milieu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale des parallélogrammes : leurs diagonales se bisectent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]