Quiz : Maîtrisez les bases des mathématiques en seconde !

Question 1 sur 10 10:00

[{"id":67672,"question":"Quelle est la solution de l’équation 3x - 7 = 11 ?","option_a":"x = 6","option_b":"x = 4","option_c":"x = 18\/3","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 7 = 11, on ajoute 7 des deux côtés : 3x = 18, puis on divise par 3 : x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67673,"question":"La fonction f(x) = x² est-elle croissante sur l’intervalle [-2 ; 0] ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction x² est décroissante sur [-2 ; 0] car sa dérivée f’(x) = 2x est négative dans cet intervalle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67674,"question":"Quelle est la médiane de la série : 5, 7, 8, 10, 12 ?","option_a":"7","option_b":"8","option_c":"9","option_d":"10","option_e":"","option_f":"","bonne_reponse":"B","explication":"La série ordonnée a 5 valeurs. La médiane est la 3ème valeur : 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67675,"question":"Si un triangle a des côtés de longueurs 3, 4 et 5, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"D’après le théorème de Pythagore, 3² + 4² = 5² (9 + 16 = 25), donc le triangle est rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67676,"question":"Quelle est la solution de l’inéquation 2x + 5 \u003E 11 ?","option_a":"x \u003E 3","option_b":"x \u003C 3","option_c":"x \u003E 8","option_d":"x \u003C 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 5 des deux côtés : 2x \u003E 6, puis en divisant par 2 : x \u003E 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67677,"question":"La moyenne de la série 2, 4, 6, 8 est-elle égale à 5 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La moyenne est (2+4+6+8)\/4 = 20\/4 = 5, donc l’affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67678,"question":"Quel est le coefficient directeur de la droite d’équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l’équation y = mx + p, m est le coefficient directeur. Ici, m = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67679,"question":"Si f(x) = 2x + 1, alors f(3) = 7. Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 3 : f(3) = 2*3 + 1 = 7, donc l’affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67680,"question":"Quelle est la solution de l’équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = 1 ou x = 6","option_c":"x = -2 ou x = -3","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"On factorise : (x-2)(x-3) = 0, donc les solutions sont x = 2 et x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67681,"question":"L’étendue d’une série statistique est toujours positive. Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L’étendue est la différence entre la valeur maximale et minimale, donc elle est toujours positive ou nulle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]