Quiz de révision : Mathématiques 9ème année — Nombres, Équations et Géométrie

Question 1 sur 10 10:00

[{"id":33943,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = -5","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, on soustrait 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":33944,"question":"La somme des angles d'un triangle est toujours égale à 180 degrés.","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 : la somme des angles internes d'un triangle est toujours de 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33945,"question":"Quel est le résultat de (-4) × (-3) ?","option_a":"12","option_b":"-12","option_c":"7","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le produit de deux nombres négatifs est positif. Donc (-4) × (-3) = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33946,"question":"Une fonction linéaire est représentée par une droite qui passe par l'origine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire f(x) = ax passe toujours par l'origine (0,0) car f(0) = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33947,"question":"Quel est le PGCD de 36 et 48 ?","option_a":"6","option_b":"12","option_c":"8","option_d":"24","option_e":"","option_f":"","bonne_reponse":"B","explication":"Les diviseurs de 36 sont : 1, 2, 3, 4, 6, 9, 12, 18, 36. Ceux de 48 sont : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Le plus grand commun diviseur est 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33948,"question":"La médiatrice d'un segment est une droite qui passe par le milieu du segment et est perpendiculaire à celui-ci.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la définition exacte de la médiatrice d'un segment en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33949,"question":"Quel est le résultat de 5² - 3² ?","option_a":"16","option_b":"4","option_c":"25","option_d":"10","option_e":"","option_f":"","bonne_reponse":"A","explication":"5² = 25 et 3² = 9. Donc 25 - 9 = 16.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33950,"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 caractéristique des parallélogrammes en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33951,"question":"Résoudre l'inéquation 2x - 7 ≤ 3.","option_a":"x ≤ 5","option_b":"x ≥ 5","option_c":"x ≤ -2","option_d":"x ≥ -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On ajoute 7 des deux côtés : 2x ≤ 10, puis on divise par 2 : x ≤ 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33952,"question":"La racine carrée de 144 est 12.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"12 × 12 = 144, donc √144 = 12 est correct.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]