Quiz Mathématiques : Testez vos connaissances en 4ème année secondaire

Question 1 sur 10 10:00

[{"id":13593,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 7 ?","option_a":"x = -12","option_b":"x = -2","option_c":"x = 12","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x des deux côtés et en ajoutant 7, on obtient x = -12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13594,"question":"Le triangle ABC est rectangle en A. Si AB = 3 cm et AC = 4 cm, alors BC mesure :","option_a":"5 cm","option_b":"6 cm","option_c":"7 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore, BC = √(3² + 4²) = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13595,"question":"La fonction f(x) = 2x² - 3x + 1 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine s'écrit f(x) = ax + b. Ici, f(x) est un polynôme du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13596,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ - 2x² + x ?","option_a":"f'(x) = 12x² - 4x + 1","option_b":"f'(x) = 12x² - 4x","option_c":"f'(x) = 4x² - 2x + 1","option_d":"f'(x) = 12x - 4x + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée se calcule terme par terme : 12x² pour 4x³, -4x pour -2x², et 1 pour x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13597,"question":"Si deux droites sont parallèles, alors elles ont le même coefficient directeur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont des coefficients directeurs égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13598,"question":"Résolvez l'inéquation : 2x - 5 \u003E 3x + 1.","option_a":"x \u003C -6","option_b":"x \u003E -6","option_c":"x \u003C 6","option_d":"x \u003E 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 3x et ajoutant 5, on obtient -x \u003E 6, donc x \u003C -6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13599,"question":"Quel est le centre de symétrie de la fonction f(x) = x² - 4x + 3 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 1","option_d":"x = -1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le centre de symétrie d'une fonction quadratique est donné par x = -b\/(2a) = 4\/2 = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13600,"question":"La probabilité d'obtenir un 6 en lançant un dé équilibré est de 1\/6.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un dé équilibré a 6 faces, donc la probabilité d'obtenir un 6 est bien 1\/6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13601,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = -1 ou x = -6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En factorisant, on obtient (x-2)(x-3) = 0, donc x = 2 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13602,"question":"La médiane d'une série statistique est toujours égale à la moyenne.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane et la moyenne sont deux indicateurs différents. Elles sont égales uniquement dans le cas d'une distribution symétrique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]