Quiz Maths Seconde : Testez vos bases en algèbre et géométrie !

Question 1 sur 10 10:00

[{"id":25688,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 → 3x = 15 → x = 5. Cette équation linéaire est résolue en isolant x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25689,"question":"Un triangle isocèle a deux angles égaux à 70°. Quelle est la mesure du troisième angle ?","option_a":"40°","option_b":"50°","option_c":"60°","option_d":"70°","option_e":"","option_f":"","bonne_reponse":"A","explication":"La somme des angles d'un triangle est 180°. 180° - (70° + 70°) = 40°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25690,"question":"Vrai ou Faux ? L'équation x² = -4 a deux solutions réelles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"x² = -4 n'a pas de solution réelle car un carré est toujours positif ou nul.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25691,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25692,"question":"Vrai ou Faux ? La fonction f(x) = 2x + 1 est décroissante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction affine f(x) = ax + b est décroissante si a \u003C 0. Ici, a = 2 \u003E 0, donc elle est croissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25693,"question":"Quel est le résultat de 2⁴ × 2³ ?","option_a":"2⁷","option_b":"2¹²","option_c":"4⁷","option_d":"8⁷","option_e":"","option_f":"","bonne_reponse":"A","explication":"2⁴ × 2³ = 2^(4+3) = 2⁷. On utilise la propriété des puissances : a^m × a^n = a^(m+n).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25694,"question":"Dans un repère orthonormé, quelle est la distance entre les points A(1 ; 2) et B(4 ; 6) ?","option_a":"5","option_b":"√(13)","option_c":"√(25)","option_d":"√(34)","option_e":"","option_f":"","bonne_reponse":"D","explication":"La distance est calculée avec la formule √[(xB - xA)² + (yB - yA)²] = √[(4-1)² + (6-2)²] = √(9 + 16) = √25 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25695,"question":"Vrai ou Faux ? L'inéquation 2x - 3 \u003E 5 a pour solution x \u003E 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x - 3 \u003E 5 → 2x \u003E 8 → x \u003E 4. L'inéquation est bien résolue correctement.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25696,"question":"Quelle est la médiane d'une série de 5 nombres : 2, 4, 6, 8, 10 ?","option_a":"4","option_b":"6","option_c":"8","option_d":"10","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane est la valeur centrale de la série ordonnée. Ici, c'est 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25697,"question":"Quelle propriété géométrique est vérifiée par un parallélogramme ?","option_a":"Ses diagonales sont perpendiculaires","option_b":"Ses côtés opposés sont parallèles et de même longueur","option_c":"Il a un angle droit","option_d":"Toutes ses diagonales sont égales","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un parallélogramme a ses côtés opposés parallèles et de même longueur, et ses diagonales se coupent en leur milieu.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]