Quiz de révision : Mathématiques 9ème année — Équations et géométrie

Question 1 sur 10 10:00

[{"id":56761,"question":"Quelle est la solution de l'équation 3x - 5 = 16 ?","option_a":"x = 7","option_b":"x = 5","option_c":"x = 13","option_d":"x = 11","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 16, on ajoute 5 des deux côtés : 3x = 21, puis on divise par 3 : x = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56762,"question":"L'aire d'un carré de côté 5 cm est de 25 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un carré se calcule par le carré de son côté : 5² = 25 cm². L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56763,"question":"Quel est le volume d'un cube d'arête 4 cm ?","option_a":"16 cm³","option_b":"32 cm³","option_c":"64 cm³","option_d":"8 cm³","option_e":"","option_f":"","bonne_reponse":"C","explication":"Le volume d'un cube se calcule par le cube de son arête : 4³ = 64 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56764,"question":"La racine carrée de 144 est égale à 12.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"12² = 144, donc √144 = 12. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56765,"question":"Résoudre l'équation 2x + 3 = 7.","option_a":"x = 2","option_b":"x = 5","option_c":"x = -2","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 3 des deux côtés : 2x = 4, puis on divise par 2 : x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56766,"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 : 8 × 5 = 40 cm². L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56767,"question":"Quelle est la valeur de 2³ + 3² ?","option_a":"17","option_b":"13","option_c":"25","option_d":"8","option_e":"","option_f":"","bonne_reponse":"A","explication":"2³ = 8 et 3² = 9, donc 8 + 9 = 17.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56768,"question":"La propriété 'a^(m+n) = a^m × a^n' est-elle toujours vraie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette propriété des puissances est valable pour tout nombre réel a ≠ 0 et pour tous entiers m et n. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56769,"question":"Un parallélépipède rectangle a pour dimensions 3 cm, 4 cm et 5 cm. Quel est son volume ?","option_a":"60 cm³","option_b":"20 cm³","option_c":"12 cm³","option_d":"15 cm³","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un parallélépipède rectangle se calcule par longueur × largeur × hauteur : 3 × 4 × 5 = 60 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56770,"question":"La solution de l'équation x\/2 + 1 = 5 est x = 8.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 1 des deux côtés : x\/2 = 4, puis on multiplie par 2 : x = 8. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]