Quiz Maths : Algèbre, Fonctions et Géométrie pour la 4ème année secondaire

Question 1 sur 10 10:00

[{"id":73942,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = 2","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolution : 3x = 7 + 5 → 3x = 12 → x = 12\/3 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73943,"question":"La fonction f(x) = 2x² - 3x + 1 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine est de la forme f(x) = ax + b. Ici, f(x) = 2x² - 3x + 1 est une fonction polynôme du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73944,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"7","option_b":"-4","option_c":"4","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans l'équation y = mx + p, m est le coefficient directeur. Ici, m = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73945,"question":"L'aire d'un triangle de base 6 cm et de hauteur 4 cm est de :","option_a":"12 cm²","option_b":"24 cm²","option_c":"10 cm²","option_d":"18 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"Aire = (base × hauteur) \/ 2 = (6 × 4) \/ 2 = 12 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73946,"question":"La moyenne d'une série statistique est toujours égale à la médiane.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La moyenne et la médiane sont égales uniquement si la distribution est symétrique. Sinon, elles diffèrent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73947,"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":73948,"question":"Un cube d'arête 5 cm a un volume de :","option_a":"15 cm³","option_b":"25 cm³","option_c":"125 cm³","option_d":"50 cm³","option_e":"","option_f":"","bonne_reponse":"C","explication":"Volume = arête³ = 5³ = 125 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73949,"question":"La fonction f(x) = 1\/x est définie pour x = 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73950,"question":"Résoudre l'inéquation 2x + 3 \u003E 7 donne :","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x \u003E 7 - 3 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73951,"question":"Le périmètre d'un cercle de rayon 3 cm est de :","option_a":"3π cm","option_b":"6π cm","option_c":"9π cm","option_d":"12π cm","option_e":"","option_f":"","bonne_reponse":"B","explication":"Périmètre = 2πr = 2π × 3 = 6π cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]