Quiz Mathématiques — 9ème année : Équations et Géométrie

Question 1 sur 10 10:00

[{"id":20428,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 6","option_c":"x = 7","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15, puis divisez par 3 : x = 5. La bonne réponse est donc x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20429,"question":"L'aire d'un rectangle de longueur 8 cm et de largeur 3 cm est de 24 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle se calcule par la formule Longueur × Largeur. Ici, 8 cm × 3 cm = 24 cm². L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20430,"question":"Quelle est la solution de l'équation 2(x - 4) = 10 ?","option_a":"x = 9","option_b":"x = 7","option_c":"x = 5","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"Développez l'équation : 2x - 8 = 10. Ajoutez 8 des deux côtés : 2x = 18. Divisez par 2 : x = 9. La bonne réponse est x = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20431,"question":"Le périmètre d'un carré de côté 5 cm est de 25 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le périmètre d'un carré se calcule par la formule 4 × côté. Ici, 4 × 5 cm = 20 cm. L'affirmation est donc fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20432,"question":"Quelle est la solution de l'équation 4x - 7 = 2x + 5 ?","option_a":"x = 6","option_b":"x = 4","option_c":"x = 3","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraisez 2x des deux côtés : 2x - 7 = 5. Ajoutez 7 : 2x = 12. Divisez par 2 : x = 6. La bonne réponse est x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20433,"question":"L'aire d'un triangle de base 6 cm et de hauteur 4 cm est de 12 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle se calcule par la formule (base × hauteur) \/ 2. Ici, (6 cm × 4 cm) \/ 2 = 12 cm². L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20434,"question":"Quelle est la solution de l'équation 5(x + 2) = 35 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 4","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Divisez les deux côtés par 5 : x + 2 = 7. Soustrayez 2 : x = 5. La bonne réponse est x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20435,"question":"Le périmètre d'un cercle de rayon 3 cm est de 6π cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un cercle se calcule par la formule 2πr. Ici, 2π × 3 cm = 6π cm. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20436,"question":"Quelle est la solution de l'équation 7 - 2x = 3x + 12 ?","option_a":"x = -1","option_b":"x = 1","option_c":"x = -2","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajoutez 2x des deux côtés : 7 = 5x + 12. Soustrayez 12 : -5 = 5x. Divisez par 5 : x = -1. La bonne réponse est x = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20437,"question":"L'aire d'un disque de rayon 2 cm est de 4π cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un disque se calcule par la formule πr². Ici, π × (2 cm)² = 4π cm². L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]