Quiz Maths 9ème : Algèbre et Géométrie

Question 1 sur 10 10:00

[{"id":66072,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 45\/3","option_d":"x = 10","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":66073,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66074,"question":"Simplifiez la fraction 12\/18.","option_a":"2\/3","option_b":"4\/6","option_c":"6\/9","option_d":"3\/4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Divisez le numérateur et le dénominateur par leur PGCD (6) : 12 ÷ 6 = 2 et 18 ÷ 6 = 3, d'où 2\/3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66075,"question":"Quel est le volume d'un cube de côté 4 cm ?","option_a":"16 cm³","option_b":"64 cm³","option_c":"32 cm³","option_d":"8 cm³","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le volume d'un cube est donné par côté³ : 4³ = 4 × 4 × 4 = 64 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66076,"question":"Si un angle d'un triangle mesure 60° et un autre 50°, le troisième angle mesure :","option_a":"70°","option_b":"80°","option_c":"60°","option_d":"50°","option_e":"","option_f":"","bonne_reponse":"A","explication":"La somme des angles d'un triangle est 180°. Donc 180° - 60° - 50° = 70° ? Non, 180 - 60 - 50 = 70° est incorrect. 180 - 60 - 50 = 70° est une erreur, la bonne réponse est 70° ? Recalculons : 180 - 60 = 120, 120 - 50 = 70. La bonne réponse est donc 70° (option 1). Correction : correct = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66077,"question":"La racine carrée de 144 est un nombre entier.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"12 × 12 = 144, donc √144 = 12, qui est un nombre entier.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66078,"question":"Résolvez l'inéquation 2x - 7 \u003E 3.","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajoutez 7 des deux côtés : 2x \u003E 10, puis divisez par 2 : x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66079,"question":"Un parallélogramme a-t-il toujours des diagonales de même longueur ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Seuls les rectangles et carrés (cas particuliers de parallélogrammes) ont des diagonales de même longueur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66080,"question":"Calculez 3\/4 + 2\/5.","option_a":"5\/9","option_b":"15\/20","option_c":"23\/20","option_d":"11\/20","option_e":"","option_f":"","bonne_reponse":"C","explication":"Trouvez un dénominateur commun (20) : (15\/20) + (8\/20) = 23\/20.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66081,"question":"Le périmètre d'un rectangle de longueur 8 cm et de largeur 5 cm est :","option_a":"26 cm","option_b":"40 cm","option_c":"13 cm","option_d":"30 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre = 2 × (longueur + largeur) = 2 × (8 + 5) = 26 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]