Quiz Maths 9ème : Équations, Pythagore et Fractions

Question 1 sur 10 10:00

[{"id":53371,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 7","option_d":"x = 8","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":53372,"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, où le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53373,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 4 ?","option_a":"x = 5","option_b":"x = 1","option_c":"x = 4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"B","explication":"En développant, on obtient 2x - 6 = 4. On ajoute 6 (2x = 10), puis on divise par 2 (x = 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53374,"question":"Si un triangle a des côtés de longueurs 3 cm, 4 cm et 5 cm, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"3² + 4² = 9 + 16 = 25 = 5². Le triangle est donc rectangle d'après le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53375,"question":"Quelle fraction est équivalente à 3\/4 ?","option_a":"6\/8","option_b":"5\/6","option_c":"2\/3","option_d":"4\/5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En multipliant le numérateur et le dénominateur par 2, on obtient 6\/8, qui est équivalent à 3\/4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53376,"question":"L'équation x² = 16 a pour solutions x = 4 et x = -4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² = 16 implique x = √16 ou x = -√16, donc x = 4 ou x = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53377,"question":"Un triangle avec des côtés 5 cm, 12 cm et 13 cm est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"5² + 12² = 25 + 144 = 169 = 13². Le triangle est donc rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53378,"question":"Quelle est la solution de l'équation 4x - 7 = 2x + 5 ?","option_a":"x = 6","option_b":"x = 4","option_c":"x = 3","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x et en ajoutant 7, on obtient 2x = 12, donc x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53379,"question":"La fraction 8\/12 simplifiée est égale à 2\/3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"8\/12 = (8÷4)\/(12÷4) = 2\/3. La simplification est correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53380,"question":"Quel est le périmètre d'un triangle rectangle dont les côtés de l'angle droit mesurent 6 cm et 8 cm, et l'hypoténuse mesure 10 cm ?","option_a":"24 cm","option_b":"20 cm","option_c":"14 cm","option_d":"30 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre est la somme des trois côtés : 6 + 8 + 10 = 24 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]