Quiz Mathématiques : 2ème année secondaire — Équations et Géométrie

Question 1 sur 10 10:00

[{"id":70902,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -2","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"A","explication":"On isole x : 3x - 2x = 5 + 7 → x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70903,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Il ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70904,"question":"Développez l'expression (2x + 3)(x - 4) :","option_a":"2x² - 5x - 12","option_b":"2x² + 5x - 12","option_c":"2x² - 11x - 12","option_d":"2x² + x - 12","option_e":"","option_f":"","bonne_reponse":"C","explication":"On utilise la distributivité : 2x*x + 2x*(-4) + 3*x + 3*(-4) = 2x² - 8x + 3x - 12 = 2x² - 5x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70905,"question":"Si un triangle a des côtés de longueurs 3, 4 et 5 cm, est-il rectangle ?","option_a":"Oui, car 3² + 4² = 5²","option_b":"Non, car 3 + 4 ≠ 5","option_c":"Oui, mais seulement si l'angle est aigu","option_d":"Non, car 5 n'est pas un multiple de 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"3² + 4² = 9 + 16 = 25 = 5², donc le triangle est rectangle d'après le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70906,"question":"La moyenne de 5 notes : 12, 14, 10, 16 et 13 est :","option_a":"13","option_b":"13,5","option_c":"14","option_d":"12,5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Moyenne = (12 + 14 + 10 + 16 + 13) \/ 5 = 65 \/ 5 = 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70907,"question":"L'inéquation 2x - 5 \u003E 7 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x \u003E 12 → x \u003E 6, donc l'inéquation est vraie pour x \u003E 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70908,"question":"Factorisez l'expression x² - 9 :","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une différence de carrés : x² - 9 = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70909,"question":"Un angle de 120° est-il aigu ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un angle aigu mesure moins de 90°, donc 120° est obtus.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70910,"question":"Résolvez l'inéquation -3x + 2 ≤ 11 :","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"-3x ≤ 9 → x ≥ -3 (en divisant par un nombre négatif, on inverse le sens de l'inégalité).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70911,"question":"Le périmètre d'un carré de côté 5 cm est :","option_a":"20 cm","option_b":"25 cm","option_c":"10 cm","option_d":"15 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Périmètre = 4 × côté = 4 × 5 = 20 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]