Quiz : Les bases des mathématiques générales

Question 1 sur 10 10:00

[{"id":65282,"question":"Quelle est la solution de l'équation 2x + 5 = 11 ?","option_a":"x = 3","option_b":"x = 4","option_c":"x = 5","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"B","explication":"Soustraire 5 des deux côtés donne 2x = 6, puis diviser par 2 donne x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65283,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65284,"question":"Quelle est la formule de l'aire d'un cercle de rayon r ?","option_a":"A = πr²","option_b":"A = 2πr","option_c":"A = πr","option_d":"A = 4πr²","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule correcte est A = πr², où π est une constante approximativement égale à 3,14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65285,"question":"Si deux droites sont parallèles, leurs pentes sont 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 identiques, car elles ne se croisent jamais.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65286,"question":"Résoudre l'inéquation : 3x - 7 \u003C 2x + 5.","option_a":"x \u003C 12","option_b":"x \u003E 12","option_c":"x \u003C -12","option_d":"x \u003E -12","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 2x des deux côtés donne x - 7 \u003C 5, puis ajouter 7 donne x \u003C 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65287,"question":"La médiane d'un triangle est toujours perpendiculaire à la base.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane relie un sommet au milieu du côté opposé, mais n'est pas toujours perpendiculaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65288,"question":"Quelle est la valeur de sin(30°) ?","option_a":"0,5","option_b":"√2\/2","option_c":"√3\/2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"A","explication":"sin(30°) est égal à 0,5, une valeur fondamentale en trigonométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65289,"question":"Deux angles opposés par le sommet sont toujours égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les angles opposés par le sommet sont toujours égaux, car ils partagent le même sommet et leurs côtés sont des prolongements.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65290,"question":"Calculer la moyenne de 4, 6, 8 et 10.","option_a":"7","option_b":"7,5","option_c":"8","option_d":"6,5","option_e":"","option_f":"","bonne_reponse":"B","explication":"La moyenne est calculée en additionnant les valeurs (4+6+8+10=28) puis en divisant par le nombre de valeurs (28\/4=7).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65291,"question":"La probabilité d'un événement impossible est égale à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité d'un événement impossible est égale à 0, tandis que celle d'un événement certain est 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]