Quiz interactif : Algèbre et Géométrie — 9ème année

Question 1 sur 10 10:00

[{"id":18148,"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":18149,"question":"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 : hypoténuse² = 3² + 4² = 9 + 16 = 25, donc hypoténuse = √25 = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18150,"question":"La fonction f(x) = 2x + 3 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. Ici, a = 2 et b = 3, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18151,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"40 cm²","option_b":"30 cm²","option_c":"25 cm²","option_d":"13 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle se calcule par longueur × largeur : 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18152,"question":"L'équation x² - 9 = 0 a pour solutions x = 3 et x = -3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant x² - 9 = 0, on obtient x² = 9, donc x = 3 ou x = -3. Les solutions sont correctes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18153,"question":"Quel est le volume d'un cube d'arête 4 cm ?","option_a":"64 cm³","option_b":"16 cm³","option_c":"32 cm³","option_d":"12 cm³","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube se calcule par arête³ : 4 × 4 × 4 = 64 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18154,"question":"La somme des angles d'un triangle est toujours égale à 180 degrés.","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 euclidienne : la somme des angles d'un triangle est toujours 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18155,"question":"Résoudre 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 d'abord : 2x - 8 = 10, puis ajoutez 8 : 2x = 18, et divisez par 2 : x = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18156,"question":"Un cercle a un rayon de 6 cm. Quel est son périmètre ?","option_a":"12π cm","option_b":"36π cm","option_c":"6π cm","option_d":"24π cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un cercle se calcule par 2πr : 2 × π × 6 = 12π cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18157,"question":"La fonction f(x) = x² est-elle une fonction linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax. Ici, f(x) = x² est une fonction du second degré, donc non linéaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]