Quiz interactif : Maths 9ème année — Algèbre, Géométrie & Statistiques

Question 1 sur 10 10:00

[{"id":28278,"question":"Quelle est la valeur de l'expression 3 × (5 + 2) − 4 ?","option_a":"17","option_b":"23","option_c":"13","option_d":"9","option_e":"","option_f":"","bonne_reponse":"A","explication":"Appliquer la priorité des opérations : parenthèses d'abord (5+2=7), puis multiplication (3×7=21), enfin soustraction (21−4=17).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28279,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles, où le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28280,"question":"Quelle est la forme factorisée de l'expression 4x² − 9 ?","option_a":"(2x − 3)(2x + 3)","option_b":"(2x − 3)²","option_c":"(4x − 3)(x + 3)","option_d":"(x − 3)(4x + 3)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Utiliser l'identité remarquable a² − b² = (a − b)(a + b) avec a=2x et b=3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28281,"question":"La moyenne de 5 notes : 12, 14, 10, 16, 18 est égale à :","option_a":"14","option_b":"15","option_c":"16","option_d":"13","option_e":"","option_f":"","bonne_reponse":"B","explication":"Calculer la somme des notes (12+14+10+16+18=70) puis diviser par le nombre de notes (70÷5=14).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28282,"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 côté × côté, soit 5×5=25 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28283,"question":"Quelle est la racine carrée de 144 ?","option_a":"10","option_b":"12","option_c":"14","option_d":"16","option_e":"","option_f":"","bonne_reponse":"B","explication":"12 × 12 = 144, donc √144 = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28284,"question":"Un triangle ayant des côtés de 3 cm, 4 cm et 5 cm est :","option_a":"Isocèle","option_b":"Équilatéral","option_c":"Rectangle","option_d":"Scalène","option_e":"","option_f":"","bonne_reponse":"C","explication":"Vérifier le théorème de Pythagore : 3² + 4² = 9 + 16 = 25 = 5². Le triangle est rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28285,"question":"La médiane d'une série de 7 nombres est toujours le 4ème nombre.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane est la valeur centrale uniquement si les données sont triées. Pour un nombre pair de données, c'est la moyenne des deux valeurs centrales.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28286,"question":"Développer l'expression (x + 3)(x − 2) donne :","option_a":"x² + x − 6","option_b":"x² − x − 6","option_c":"x² + 5x − 6","option_d":"x² − 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Appliquer la distributivité : x×x + x×(−2) + 3×x + 3×(−2) = x² − 2x + 3x − 6 = x² + x − 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28287,"question":"Le périmètre d'un cercle de rayon 4 cm est d'environ 25,12 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre (circonférence) d'un cercle se calcule par 2πr. Avec r=4, on obtient 2×3,14×4 ≈ 25,12 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]