Quiz : Maîtrisez les bases des mathématiques de 1ère année secondaire

Question 1 sur 10 10:00

[{"id":64538,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15. Ensuite, on divise par 3 : x = 15\/3 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64539,"question":"La fonction f(x) = 2x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, où a et b sont des constantes. Ici, a = 2 et b = 1, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64541,"question":"Quel est le résultat de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour résoudre 2x + 3 \u003E 7, on soustrait 3 : 2x \u003E 4. Ensuite, on divise par 2 : x \u003E 2. La solution est donc x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64544,"question":"Le triangle ABC avec AB = 5 cm, BC = 4 cm et AC = 3 cm est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"On vérifie si AB² = AC² + BC² : 5² = 25 et 3² + 4² = 9 + 16 = 25. Comme 25 = 25, le triangle est rectangle en C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64546,"question":"Quelle est la valeur de x dans l'équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"C","explication":"x² - 9 = 0 ⇒ x² = 9 ⇒ x = √9 ou x = -√9 ⇒ x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64547,"question":"La droite d'équation y = -2x + 4 a-t-elle un coefficient directeur positif ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur d'une droite d'équation y = ax + b est a. Ici, a = -2, qui est négatif. Donc la droite est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64548,"question":"Quel est le périmètre d'un carré de côté 4 cm ?","option_a":"8 cm","option_b":"12 cm","option_c":"16 cm","option_d":"20 cm","option_e":"","option_f":"","bonne_reponse":"C","explication":"Le périmètre d'un carré se calcule par 4 × côté. Donc 4 × 4 = 16 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64549,"question":"L'expression (x + 2)(x - 2) est-elle égale à x² - 4 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant (x + 2)(x - 2), on obtient x² - 2x + 2x - 4 = x² - 4. Donc l'égalité est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64550,"question":"Quelle est la solution de l'équation 5(x - 1) = 20 ?","option_a":"x = 3","option_b":"x = 5","option_c":"x = 1","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"C","explication":"On divise d'abord par 5 : x - 1 = 4. Ensuite, on ajoute 1 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64551,"question":"La somme des angles d'un triangle est-elle 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 : la somme des angles d'un triangle est toujours égale à 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]