Quiz : Mathématiques 9ème année — Algèbre et Géométrie

Question 1 sur 10 10:00

[{"id":80382,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 15\/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":80383,"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":80384,"question":"Factorisez l'expression 4x² - 9.","option_a":"(2x - 3)(2x + 3)","option_b":"(4x - 9)(x + 1)","option_c":"(2x - 3)²","option_d":"(x - 3)(4x + 3)","option_e":"","option_f":"","bonne_reponse":"A","explication":"4x² - 9 = (2x)² - 3² = (2x - 3)(2x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80385,"question":"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 rectangle d'après le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80386,"question":"Résolvez l'inéquation 2x + 7 ≤ 15.","option_a":"x ≤ 4","option_b":"x ≥ 4","option_c":"x ≤ 8","option_d":"x ≤ -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 7 ≤ 15 → 2x ≤ 8 → x ≤ 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80387,"question":"L'aire d'un carré de côté 5 cm est de 25 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Aire d'un carré = côté² = 5² = 25 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80388,"question":"Développez l'expression (x + 2)(x - 3).","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 6x + 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 2)(x - 3) = x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80389,"question":"Le volume d'un cube d'arête 3 cm est de 9 cm³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Volume d'un cube = arête³ = 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80390,"question":"Quelle est la solution de l'équation x\/2 + 3 = 7 ?","option_a":"x = 8","option_b":"x = 4","option_c":"x = 10","option_d":"x = 20","option_e":"","option_f":"","bonne_reponse":"C","explication":"x\/2 + 3 = 7 → x\/2 = 4 → x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80391,"question":"La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La somme des angles d'un triangle est toujours de 180° dans un plan euclidien.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]