Maths 4ème année secondaire : Testez vos connaissances en algèbre et géométrie

Question 1 sur 10 10:00

[{"id":44776,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 1 ?","option_a":"x = 4","option_b":"x = 6","option_c":"x = -4","option_d":"x = -6","option_e":"","option_f":"","bonne_reponse":"C","explication":"En soustrayant 2x des deux côtés et en ajoutant 5, on obtient x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44777,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, l'autre côté mesure :","option_a":"8 cm","option_b":"7 cm","option_c":"5 cm","option_d":"9 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : √(10² - 6²) = √(100 - 36) = √64 = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44778,"question":"La fonction f(x) = 2x + 3 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, ce qui est le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44779,"question":"Quelle est la probabilité de tirer un as dans un jeu de 52 cartes ?","option_a":"1\/13","option_b":"1\/52","option_c":"4\/52","option_d":"1\/4","option_e":"","option_f":"","bonne_reponse":"C","explication":"Il y a 4 as dans un jeu de 52 cartes, donc la probabilité est 4\/52 = 1\/13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44780,"question":"L'équation x² - 5x + 6 = 0 admet deux solutions réelles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = 25 - 24 = 1 \u003E 0, donc deux solutions réelles existent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44781,"question":"Quelle est la dérivée de la fonction f(x) = x³ - 2x² + x ?","option_a":"3x² - 4x + 1","option_b":"x² - 2x + 1","option_c":"3x² - 2x + 1","option_d":"x³ - 4x + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x³ est 3x², celle de -2x² est -4x, et celle de x est 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44782,"question":"Dans un cercle de rayon 5 cm, l'aire est égale à :","option_a":"25π cm²","option_b":"10π cm²","option_c":"5π cm²","option_d":"50π cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un cercle est πr² = π × 5² = 25π cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44783,"question":"La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie euclidienne.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44784,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 3 et en divisant par 2, on obtient x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44785,"question":"Le volume d'une sphère de rayon r est donné par la formule :","option_a":"4\/3 πr³","option_b":"πr²h","option_c":"2πr","option_d":"πr³","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule du volume d'une sphère est V = (4\/3)πr³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]