Quiz Mathématiques — 1ère Année Secondaire : Algèbre & Géométrie

Question 1 sur 10 10:00

[{"id":16478,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 3","option_d":"x = 10","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":16479,"question":"Le triangle ABC est rectangle en A avec AB = 3 cm et AC = 4 cm. Quelle est la longueur de BC ?","option_a":"5 cm","option_b":"7 cm","option_c":"6 cm","option_d":"4 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : BC² = AB² + AC² = 9 + 16 = 25, donc BC = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16480,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 3 : 2x \u003E 4, puis en divisant par 2 : x \u003E 2. L'inéquation est donc vraie pour x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16481,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 1 ?","option_a":"f(2) = -1","option_b":"f(2) = 3","option_c":"f(2) = 1","option_d":"f(2) = -3","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 2 : f(2) = 4 - 6 + 1 = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16482,"question":"Le périmètre d'un carré de côté 5 cm est :","option_a":"20 cm","option_b":"25 cm","option_c":"15 cm","option_d":"10 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré est 4 × côté, donc 4 × 5 = 20 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16483,"question":"La formule de l'aire d'un triangle est A = (base × hauteur) \/ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette formule est correcte : l'aire d'un triangle est bien (base × hauteur) divisé par 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16484,"question":"Résoudre l'équation 5(x - 2) = 3x + 10.","option_a":"x = 10","option_b":"x = 5","option_c":"x = 0","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : 5x - 10 = 3x + 10, puis 2x = 20, donc x = 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16485,"question":"Le volume d'un cube de côté 3 cm est :","option_a":"27 cm³","option_b":"9 cm³","option_c":"12 cm³","option_d":"18 cm³","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube est côté³, donc 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16486,"question":"L'expression (x + 3)² est égale à :","option_a":"x² + 6x + 9","option_b":"x² + 3x + 9","option_c":"x² + 9","option_d":"x² + 6x + 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : (x + 3)² = x² + 6x + 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16487,"question":"La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est un théorème fondamental en géométrie : la somme des angles d'un triangle est toujours 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]