Quiz Maths — 1ère Année : Algèbre & Géométrie

Question 1 sur 10 10:00

[{"id":24148,"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":"B","explication":"En ajoutant 5 des deux côtés, on obtient 3x = 15, puis en divisant par 3, x = 5 (ou 15\/3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24149,"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 est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24150,"question":"Factorisez l'expression : 4x² - 9.","option_a":"(2x - 3)(2x + 3)","option_b":"(2x + 3)²","option_c":"(2x - 3)²","option_d":"4(x² - 9\/4)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Il s'agit d'une différence de carrés : a² - b² = (a - b)(a + b), avec a = 2x et b = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24151,"question":"Si AB = 6 cm, BC = 8 cm et AC = 10 cm, le triangle ABC est-il rectangle ?","option_a":"Oui, car 6² + 8² = 10²","option_b":"Non, car les côtés ne sont pas proportionnels","option_c":"Oui, mais seulement si l'angle droit est en B","option_d":"Non, car 6 + 8 ≠ 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vérification : 6² + 8² = 36 + 64 = 100 = 10². Le triangle est rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24152,"question":"La formule de l'aire d'un triangle est : base × hauteur \/ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule correcte pour l'aire d'un triangle est bien (base × hauteur) \/ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24153,"question":"Résolvez l'inéquation : 2x + 7 \u003E 15.","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E 8","option_d":"x \u003C 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 7, on obtient 2x \u003E 8, puis en divisant par 2, x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24154,"question":"Un parallélogramme a des côtés opposés égaux et parallèles.","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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24155,"question":"Calculez la valeur de x dans l'équation : 5(x - 2) = 3x + 10.","option_a":"x = 10","option_b":"x = 5","option_c":"x = 0","option_d":"x = 20","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, 5x - 10 = 3x + 10. En soustrayant 3x et en ajoutant 10, on obtient 2x = 20, donc x = 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24156,"question":"Le volume d'un cube d'arête a est donné par a³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube est bien égal à l'arête élevée au cube (a³).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24157,"question":"Quelle est la solution de l'équation : (x + 3)(x - 2) = 0 ?","option_a":"x = 3 ou x = -2","option_b":"x = -3 ou x = 2","option_c":"x = 0","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un produit de facteurs est nul si l'un des facteurs est nul. Donc x + 3 = 0 ou x - 2 = 0, soit x = -3 ou x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]