Quiz Mathématiques — 3ème Année Collège : Algèbre et Géométrie

Question 1 sur 10 10:00

[{"id":46421,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12\/3","option_c":"x = 2","option_d":"x = -4","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":46422,"question":"Le théorème de Thalès s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique à tous les triangles, pas seulement aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46423,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"13 cm²","option_b":"40 cm²","option_c":"26 cm²","option_d":"30 cm²","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'aire d'un rectangle se calcule par longueur × largeur, soit 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46424,"question":"Si f(x) = 2x + 3, quelle est l'image de 4 par cette fonction ?","option_a":"f(4) = 11","option_b":"f(4) = 5","option_c":"f(4) = 8","option_d":"f(4) = 9","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 4 dans f(x) = 2x + 3, on obtient f(4) = 2×4 + 3 = 11.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46425,"question":"La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie plane : la somme des angles d'un triangle est toujours 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46426,"question":"Résolvez l'inéquation : 2x + 1 \u003E 5.","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 3","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"C","explication":"Pour résoudre 2x + 1 \u003E 5, on soustrait 1 : 2x \u003E 4, puis on divise par 2 : x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46427,"question":"Quel est le volume d'un cube d'arête 3 cm ?","option_a":"9 cm³","option_b":"27 cm³","option_c":"12 cm³","option_d":"18 cm³","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le volume d'un cube se calcule par arête³, soit 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46428,"question":"La fonction linéaire f(x) = 5x est toujours croissante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire de la forme f(x) = ax est croissante si a \u003E 0, ce qui est le cas ici (a = 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46429,"question":"Quelle est la solution de l'équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"C","explication":"En factorisant x² - 9 = (x - 3)(x + 3) = 0, on obtient x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46430,"question":"Le périmètre d'un cercle de rayon r est donné par la formule P = 2πr.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule du périmètre d'un cercle est bien P = 2πr, où r est le rayon.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]