Quiz interactif : Algèbre et Géométrie pour la 9ème année

Question 1 sur 10 10:00

[{"id":33213,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 15","option_d":"x = 5\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33214,"question":"L'aire d'un rectangle de longueur 8 cm et de largeur 5 cm est de 40 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 longueur × largeur, donc 8 × 5 = 40 cm². L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33215,"question":"Quelle est la solution du système d'équations { 2x + y = 7 ; x - y = 1 } ?","option_a":"x = 2, y = 3","option_b":"x = 3, y = 1","option_c":"x = 1, y = 5","option_d":"x = 4, y = -1","option_e":"","option_f":"","bonne_reponse":"B","explication":"En résolvant le système, on trouve x = 3 et y = 1. Par exemple, en substituant x = y + 1 dans la première équation : 2(y+1) + y = 7 → 3y + 2 = 7 → y = 1, puis x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33216,"question":"Le volume d'un cube d'arête 4 cm est de 64 cm³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube se calcule par arête³, donc 4³ = 64 cm³. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33217,"question":"Quelle est la valeur de x dans l'équation 5x + 2 = 3x + 10 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 6","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 3x et 2 des deux côtés : 2x = 8, puis x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33218,"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 (base × hauteur) \/ 2, donc (6 × 4) \/ 2 = 12 cm². L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33219,"question":"Quelle est la solution de l'équation 2(x - 3) = 4x + 6 ?","option_a":"x = -6","option_b":"x = -3","option_c":"x = 3","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : 2x - 6 = 4x + 6 → -6 - 6 = 2x → -12 = 2x → x = -6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33220,"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 4 × côté, donc 4 × 5 = 20 cm. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33221,"question":"Quelle est la valeur de x dans l'équation 7 - 2x = 3x + 12 ?","option_a":"x = -1","option_b":"x = 1","option_c":"x = -5\/5","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 2x et en soustrayant 12 : 7 - 12 = 5x → -5 = 5x → x = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":33222,"question":"L'aire d'un disque de rayon 3 cm est de 9π cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'aire d'un disque se calcule par π × rayon², donc π × 3² = 9π cm². L'affirmation est donc fausse car l'unité est correcte mais la valeur numérique est incomplète sans π.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]