Quiz Mathématiques : 1ère Année Secondaire — Équations et Géométrie

Question 1 sur 10 10:00

[{"id":34593,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = -2","option_d":"x = 12\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute d'abord 5 des deux côtés : 3x = 12. Ensuite, on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34594,"question":"Le périmètre d'un carré de côté 5 cm est de 20 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré se calcule par la formule P = 4 × côté. Ici, 4 × 5 = 20 cm, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34595,"question":"Quelle est la valeur de x dans l'équation 2(x + 3) = 10 ?","option_a":"x = 1","option_b":"x = 2","option_c":"x = 3","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"B","explication":"Développons d'abord : 2x + 6 = 10. Ensuite, 2x = 4, donc x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34596,"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 A = longueur × largeur. Ici, 8 × 3 = 24 cm², donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34597,"question":"Quelle est la solution de l'équation 5x + 2 = 3x - 4 ?","option_a":"x = -3","option_b":"x = 3","option_c":"x = -1","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 3x des deux côtés : 2x + 2 = -4. Ensuite, 2x = -6, donc x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34598,"question":"Un triangle isocèle a deux côtés égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un triangle isocèle a deux côtés de même longueur, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34599,"question":"Quelle est la valeur de x dans l'équation 4x - 7 = 2x + 5 ?","option_a":"x = 6","option_b":"x = 3","option_c":"x = 2","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"B","explication":"On soustrait 2x des deux côtés : 2x - 7 = 5. Ensuite, 2x = 12, donc x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34600,"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 A = (base × hauteur) \/ 2. Ici, (6 × 4) \/ 2 = 12 cm², donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34601,"question":"Quelle est la solution de l'équation 7x + 3 = 2x + 18 ?","option_a":"x = 3","option_b":"x = 5","option_c":"x = 2","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 2x des deux côtés : 5x + 3 = 18. Ensuite, 5x = 15, donc x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34602,"question":"Un cercle de rayon 3 cm a une circonférence de 6π cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La circonférence d'un cercle se calcule par C = 2πr. Ici, 2π × 3 = 6π cm, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]