Quiz Maths : Prépare ton Devoir de Contrôle 1 — 3ème Année Secondaire

Question 1 sur 10 10:00

[{"id":42366,"question":"Quelle est la solution de l’équation 3x + 5 = 2x – 7 ?","option_a":"x = –12","option_b":"x = –2","option_c":"x = 12","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x des deux côtés et en ajoutant 7, on obtient x = –12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42367,"question":"La fonction f(x) = x² – 4x + 3 est-elle toujours positive ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant Δ = 16 – 12 = 4 \u003E 0, donc la fonction s’annule en deux points et prend des valeurs négatives entre ces racines.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42368,"question":"Quel est le coefficient directeur de la droite d’équation y = –2x + 5 ?","option_a":"5","option_b":"–2","option_c":"2","option_d":"–5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est le nombre devant x, soit –2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42369,"question":"Dans un triangle rectangle, si l’hypoténuse mesure 10 cm et un côté 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"4 cm","option_c":"√136 cm","option_d":"16 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D’après le théorème de Pythagore : 10² = 6² + x² → x = √(100 – 36) = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42370,"question":"La moyenne d’une série de 5 notes est 12. Si on ajoute une 6ème note de 15, la nouvelle moyenne est-elle supérieure à 12 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Nouvelle moyenne = (5×12 + 15)\/6 = 75\/6 = 12,5 \u003E 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42371,"question":"Quelle est la forme canonique de la fonction f(x) = x² + 6x + 5 ?","option_a":"f(x) = (x + 3)² – 4","option_b":"f(x) = (x – 3)² + 4","option_c":"f(x) = (x + 6)² – 31","option_d":"f(x) = (x – 6)² + 31","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(x) = (x + 3)² – 9 + 5 = (x + 3)² – 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42372,"question":"Un sac contient 3 boules rouges et 2 boules bleues. On tire une boule au hasard. Quelle est la probabilité de tirer une boule rouge ?","option_a":"3\/5","option_b":"2\/5","option_c":"5\/3","option_d":"1\/5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Probabilité = nombre de cas favorables \/ nombre total de cas = 3\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42373,"question":"La droite d’équation y = 2x + 1 est parallèle à la droite y = 2x – 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites sont parallèles si elles ont le même coefficient directeur (ici, 2).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42374,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"7","option_b":"5","option_c":"10","option_d":"12","option_e":"","option_f":"","bonne_reponse":"B","explication":"√16 = 4 et √9 = 3 → 4 + 3 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42375,"question":"Dans un cercle de rayon 5 cm, quelle est la longueur d’un arc correspondant à un angle au centre de 60° ?","option_a":"5π\/3 cm","option_b":"5π cm","option_c":"10π\/3 cm","option_d":"π\/3 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Longueur de l’arc = (60\/360) × 2π × 5 = 5π\/3 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]