Quiz Mathématiques : Algèbre et Géométrie pour la 3ème année secondaire

Question 1 sur 10 10:00

[{"id":13783,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvez l'équation en isolant x : 3x = 15, donc x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13784,"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":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13785,"question":"Quelle est la forme factorisée de 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":"Utilisez l'identité remarquable a² - b² = (a - b)(a + b).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13786,"question":"Si deux droites sont parallèles, leurs pentes sont-elles égales ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont des pentes égales dans un repère orthonormé.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13787,"question":"Résolvez l'inéquation 2x + 7 \u003E 15.","option_a":"x \u003E 4","option_b":"x \u003E -4","option_c":"x \u003C 4","option_d":"x \u003C -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Isoler x : 2x \u003E 8, donc x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13788,"question":"La somme des angles d'un triangle est-elle toujours égale à 180° ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans un triangle, la somme des angles est toujours 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13789,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"40 cm²","option_b":"26 cm²","option_c":"13 cm²","option_d":"30 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"Aire = longueur × largeur = 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13790,"question":"Le discriminant d'une équation du second degré ax² + bx + c = 0 est donné par Δ = b² - 4ac.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule du discriminant est bien Δ = b² - 4ac.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13791,"question":"Résolvez le système d'équations : { 2x + y = 5 ; x - y = 1 }.","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvez par substitution ou combinaison linéaire : x = 2, y = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13792,"question":"Un angle de 90° est-il toujours un angle droit ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un angle droit mesure 90°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]