Quiz Mathématiques — Niveau Collège : Algèbre & Géométrie

Question 1 sur 10 10:00

[{"id":61687,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = 7","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":61688,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"4 cm","option_c":"12 cm","option_d":"16 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : 6² + x² = 10² → 36 + x² = 100 → x² = 64 → x = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61689,"question":"Vrai ou Faux ? L'aire d'un carré de côté 5 cm est de 25 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un carré se calcule par côté × côté, soit 5 × 5 = 25 cm². L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61690,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 4x + 6 ?","option_a":"x = -6","option_b":"x = 6","option_c":"x = -3","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"C","explication":"Développez : 2x - 6 = 4x + 6 → -6 - 6 = 4x - 2x → -12 = 2x → x = -6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61691,"question":"Vrai ou Faux ? Le périmètre d'un rectangle de longueur 8 cm et de largeur 3 cm est de 22 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre se calcule par 2 × (longueur + largeur) = 2 × (8 + 3) = 22 cm. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61692,"question":"Quelle est la solution de l'équation 5(x + 2) = 3x + 20 ?","option_a":"x = 5","option_b":"x = 10","option_c":"x = 0","option_d":"x = -5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez : 5x + 10 = 3x + 20 → 5x - 3x = 20 - 10 → 2x = 10 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61693,"question":"Vrai ou Faux ? 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 une propriété spécifique aux triangles rectangles. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61694,"question":"Quelle est la valeur de l'expression 3a + 2b pour a = 4 et b = 1 ?","option_a":"14","option_b":"16","option_c":"10","option_d":"12","option_e":"","option_f":"","bonne_reponse":"A","explication":"Remplacez a et b : 3 × 4 + 2 × 1 = 12 + 2 = 14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61695,"question":"Vrai ou Faux ? L'aire d'un triangle se calcule par (base × hauteur) \/ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule de l'aire d'un triangle est bien (base × hauteur) \/ 2. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61696,"question":"Quelle est la solution de l'équation 4x - 7 = 2x + 5 ?","option_a":"x = 6","option_b":"x = 3","option_c":"x = 1","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"B","explication":"4x - 2x = 5 + 7 → 2x = 12 → x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]