Maths 4ème : Évaluez vos connaissances en algèbre et géométrie

Question 1 sur 10 10:00

[{"id":68872,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = 5","option_c":"x = -12","option_d":"x = -5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x - 2x = 7 + 5, soit x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68873,"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":68874,"question":"Quelle est la forme canonique de la fonction f(x) = x² - 6x + 10 ?","option_a":"f(x) = (x - 3)² + 1","option_b":"f(x) = (x - 2)² + 6","option_c":"f(x) = (x + 3)² - 1","option_d":"f(x) = (x - 6)² + 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"En complétant le carré, on obtient f(x) = (x - 3)² + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68875,"question":"Si sin(θ) = 0,5, alors θ peut valoir :","option_a":"30°","option_b":"45°","option_c":"60°","option_d":"90°","option_e":"","option_f":"","bonne_reponse":"A","explication":"sin(30°) = 0,5. Les autres valeurs ne correspondent pas à ce sinus.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68876,"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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68877,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 2x \u003E 4, soit x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68878,"question":"Un vecteur de coordonnées (3, -2) a une norme égale à :","option_a":"√13","option_b":"5","option_c":"√5","option_d":"√7","option_e":"","option_f":"","bonne_reponse":"A","explication":"La norme est calculée par √(3² + (-2)²) = √13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68879,"question":"La moyenne d'une série statistique est toujours un nombre entier.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La moyenne peut être un nombre décimal, comme 3,5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68880,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ - 2x² + x - 1 ?","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":"En dérivant terme à terme, on obtient f'(x) = 12x² - 4x + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68881,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont :","option_a":"égaux","option_b":"opposés","option_c":"inverses","option_d":"nuls","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]