Quiz Maths 9ème : Algèbre, Géométrie et Fractions

Question 1 sur 10 10:00

[{"id":47601,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 5 des deux côtés, on obtient 3x = 15, puis en divisant par 3, x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47602,"question":"Le triangle ABC est rectangle en A avec AB = 6 cm et AC = 8 cm. Quelle est la longueur de BC ?","option_a":"10 cm","option_b":"14 cm","option_c":"12 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore, BC² = AB² + AC² = 36 + 64 = 100, donc BC = 10 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47603,"question":"Vrai ou Faux ? La fraction 15\/25 est irréductible.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"15\/25 peut être simplifiée par 5 : 15 ÷ 5 = 3 et 25 ÷ 5 = 5, donc 3\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47604,"question":"Quel est le résultat de 2³ × 2⁴ ?","option_a":"2⁷","option_b":"2¹²","option_c":"4⁷","option_d":"2⁴","option_e":"","option_f":"","bonne_reponse":"A","explication":"Lorsqu'on multiplie des puissances de même base, on additionne les exposants : 2³ × 2⁴ = 2^(3+4) = 2⁷.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47605,"question":"Vrai ou Faux ? Dans un triangle isocèle, les angles à la base sont égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale des triangles isocèles : les angles opposés aux côtés égaux sont égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47606,"question":"Quelle est la solution de l'équation 4(x - 2) = 20 ?","option_a":"x = 7","option_b":"x = 3","option_c":"x = 5","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient 4x - 8 = 20, puis 4x = 28, donc x = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47607,"question":"Un rectangle a une longueur de 12 cm et une largeur de 5 cm. Quel est son périmètre ?","option_a":"34 cm","option_b":"60 cm","option_c":"24 cm","option_d":"17 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un rectangle est donné par 2 × (longueur + largeur) = 2 × (12 + 5) = 34 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47608,"question":"Vrai ou Faux ? 0,75 est égal à 3\/4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"0,75 = 75\/100 = 3\/4 après simplification par 25.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47609,"question":"Quel est le résultat de (-3)² ?","option_a":"9","option_b":"-9","option_c":"6","option_d":"-6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le carré d'un nombre négatif est positif : (-3) × (-3) = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47610,"question":"Dans un triangle équilatéral, chaque angle mesure :","option_a":"60°","option_b":"90°","option_c":"45°","option_d":"120°","option_e":"","option_f":"","bonne_reponse":"A","explication":"La somme des angles d'un triangle est 180°. Dans un triangle équilatéral, les trois angles sont égaux, donc 180° ÷ 3 = 60°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]