Quiz Maths Seconde : Algèbre et Géométrie

Question 1 sur 10 10:00

[{"id":10883,"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":"3x - 5 = 10 ⇒ 3x = 15 ⇒ x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10884,"question":"Le triangle ABC est rectangle en A. Si AB = 3 et AC = 4, alors BC = 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore, BC² = AB² + AC² = 9 + 16 = 25 ⇒ BC = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10885,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10886,"question":"Si sin(θ) = 0.5, alors θ = 30°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"sin(30°) = 0.5, mais θ peut aussi être 150° ou d'autres valeurs selon le contexte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10887,"question":"Quelle est la solution de l'équation 2(x + 1) = 4x - 2 ?","option_a":"x = 0","option_b":"x = 2","option_c":"x = 1","option_d":"x = -1","option_e":"","option_f":"","bonne_reponse":"C","explication":"2x + 2 = 4x - 2 ⇒ 4 = 2x ⇒ x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10888,"question":"Le périmètre d'un carré de côté c est égal à 4c.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré est bien 4 fois la longueur de son côté.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10889,"question":"Quelle est la valeur de x dans l'équation 5x + 3 = 2x + 12 ?","option_a":"x = 3","option_b":"x = 9\/7","option_c":"x = 3\/7","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"B","explication":"5x - 2x = 12 - 3 ⇒ 3x = 9 ⇒ x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10890,"question":"Un angle de 180° est un angle plat.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un angle plat mesure bien 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10891,"question":"Quelle est la solution de l'équation x² - 4x + 4 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 4x + 4 = (x - 2)² ⇒ x = 2 (solution double).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":10892,"question":"La somme des angles d'un triangle est égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie plane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]