Quiz de révision : Algèbre et Géométrie pour la 9ème année

Question 1 sur 10 10:00

[{"id":20468,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = -5","option_d":"x = 25\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15, puis divisez par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20469,"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":20470,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 4 ?","option_a":"x = 5","option_b":"x = 1","option_c":"x = 3","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez d'abord : 2x - 6 = 4, puis ajoutez 6 : 2x = 10, et divisez par 2 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20471,"question":"Si un triangle rectangle a des côtés de 3 cm et 4 cm, quelle est la longueur de l'hypoténuse ?","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 : 3² + 4² = 9 + 16 = 25, donc l'hypoténuse est √25 = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20472,"question":"La fraction 12\/18 peut être simplifiée en :","option_a":"2\/3","option_b":"4\/6","option_c":"6\/9","option_d":"3\/4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le PGCD de 12 et 18 est 6, donc 12\/18 = (12÷6)\/(18÷6) = 2\/3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20473,"question":"Un carré a une aire de 64 cm². Quelle est la longueur de son côté ?","option_a":"8 cm","option_b":"16 cm","option_c":"4 cm","option_d":"32 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un carré est côté × côté, donc si l'aire est 64 cm², le côté est √64 = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20474,"question":"L'équation 5x - 2 = 3x + 4 a pour solution :","option_a":"x = 3","option_b":"x = -3","option_c":"x = 1","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 3x des deux côtés : 2x - 2 = 4, puis ajouter 2 : 2x = 6, et diviser par 2 : x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20475,"question":"Un triangle isocèle a deux côtés égaux à 5 cm et une base de 6 cm. Peut-on appliquer le théorème de Pythagore pour trouver la hauteur ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, en divisant le triangle en deux triangles rectangles, on peut appliquer le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20476,"question":"Quelle est la valeur de 3² + 4² ?","option_a":"25","option_b":"14","option_c":"7","option_d":"12","option_e":"","option_f":"","bonne_reponse":"A","explication":"3² = 9 et 4² = 16, donc 9 + 16 = 25.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20477,"question":"Si un rectangle a une longueur de 8 cm et une largeur de 5 cm, quelle est son aire ?","option_a":"40 cm²","option_b":"13 cm²","option_c":"30 cm²","option_d":"26 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle est longueur × largeur, donc 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]