Quiz Mathématiques : Équations, Géométrie & Théorème de Pythagore — 9ème année

Question 1 sur 10 10:00

[{"id":30378,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 → 3x = 15 → x = 5. La solution est x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30379,"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":30380,"question":"Calculez : (2\/3) + (1\/6) = ?","option_a":"3\/9","option_b":"5\/6","option_c":"1\/2","option_d":"4\/9","option_e":"","option_f":"","bonne_reponse":"B","explication":"2\/3 = 4\/6 → 4\/6 + 1\/6 = 5\/6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30381,"question":"Si un triangle a des côtés de 3 cm, 4 cm et 5 cm, quelle affirmation est vraie ?","option_a":"C'est un triangle équilatéral","option_b":"C'est un triangle rectangle","option_c":"C'est un triangle isocèle","option_d":"C'est un triangle obtusangle","option_e":"","option_f":"","bonne_reponse":"B","explication":"3² + 4² = 9 + 16 = 25 = 5² → Triangle rectangle (théorème de Pythagore).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30382,"question":"5³ × 5² = ?","option_a":"5⁵","option_b":"5⁶","option_c":"25⁵","option_d":"10⁵","option_e":"","option_f":"","bonne_reponse":"A","explication":"5³ × 5² = 5^(3+2) = 5⁵ (règle des puissances de même base).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30383,"question":"L'aire d'un carré de côté 4 cm est de 16 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Aire = côté × côté = 4 × 4 = 16 cm² → Vrai.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30384,"question":"Résolvez : 2(x + 3) = 14","option_a":"x = 4","option_b":"x = 2","option_c":"x = 5","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"A","explication":"2(x + 3) = 14 → x + 3 = 7 → x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30385,"question":"Le périmètre d'un rectangle de longueur 5 cm et de largeur 3 cm est de 16 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Périmètre = 2 × (longueur + largeur) = 2 × (5 + 3) = 16 cm → Vrai.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30386,"question":"Quelle est la valeur de x dans l'équation 4x\/2 = 8 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 8","option_d":"x = 16","option_e":"","option_f":"","bonne_reponse":"A","explication":"4x\/2 = 8 → 2x = 8 → x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30387,"question":"Un triangle avec des angles de 30°, 60° et 90° est un triangle rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La somme des angles est 180° et l'un des angles est 90° → Triangle rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]