Quiz : Les fondamentaux de mathématiques pour la 1ère année secondaire

Question 1 sur 10 10:00

[{"id":65262,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = 2","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65263,"question":"La fonction f(x) = 2x + 3 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, ce qui est le cas ici avec a=2 et b=3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65264,"question":"Quel est l'antécédent de 5 par la fonction f(x) = -x + 7 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 12","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"On résout f(x) = 5 : -x + 7 = 5 → -x = -2 → x = 2. L'antécédent de 5 est donc 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65265,"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":65266,"question":"Quelle est l'image de -3 par la fonction f(x) = 4x - 1 ?","option_a":"f(-3) = -13","option_b":"f(-3) = -11","option_c":"f(-3) = 11","option_d":"f(-3) = 13","option_e":"","option_f":"","bonne_reponse":"A","explication":"On remplace x par -3 : f(-3) = 4*(-3) - 1 = -12 - 1 = -13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65267,"question":"Un pourcentage de 20% correspond à quelle fraction ?","option_a":"1\/5","option_b":"1\/4","option_c":"1\/2","option_d":"1\/10","option_e":"","option_f":"","bonne_reponse":"A","explication":"20% = 20\/100 = 1\/5 après simplification.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65268,"question":"La droite d'équation y = -2x + 1 a-t-elle un coefficient directeur positif ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est -2, qui est négatif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65269,"question":"Quel est le périmètre d'un carré de côté 5 cm ?","option_a":"20 cm","option_b":"25 cm","option_c":"10 cm","option_d":"15 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré est 4 * côté = 4 * 5 = 20 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65270,"question":"La moyenne de 4, 6 et 8 est-elle égale à 6 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La moyenne est (4 + 6 + 8) \/ 3 = 18 \/ 3 = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65271,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 3 : 2x \u003E 4, puis on divise par 2 : x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]