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

Question 1 sur 10 10:00

[{"id":20338,"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":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15. Puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20339,"question":"Un triangle rectangle a des côtés de 3 cm et 4 cm. Quelle est la longueur de l'hypoténuse ?","option_a":"5 cm","option_b":"6 cm","option_c":"7 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore, l'hypoténuse mesure √(3² + 4²) = √25 = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20340,"question":"La fonction f(x) = 2x + 3 est-elle 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 avec a=2 et b=3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20341,"question":"Quelle est la moyenne de la série : 5, 10, 15, 20 ?","option_a":"10","option_b":"12,5","option_c":"15","option_d":"20","option_e":"","option_f":"","bonne_reponse":"B","explication":"La moyenne se calcule par (5 + 10 + 15 + 20) \/ 4 = 50 \/ 4 = 12,5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20342,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003E 3","option_c":"x \u003C 2","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 1 \u003E 5 ⇒ 2x \u003E 4 ⇒ x \u003E 2. La solution est x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20343,"question":"Le théorème de Thalès s'applique-t-il uniquement aux triangles semblables ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique à deux triangles ayant des côtés parallèles, pas nécessairement semblables.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20344,"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":20345,"question":"La médiane d'une série statistique est toujours égale à la moyenne ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane et la moyenne sont des indicateurs différents. Elles ne sont égales que dans des séries symétriques.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20346,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"-4","option_b":"7","option_c":"4","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l'équation y = ax + b, a est le coefficient directeur. Ici, a = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20347,"question":"Un parallélogramme a des diagonales qui se coupent en leur milieu ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale des parallélogrammes : leurs diagonales se coupent en leur milieu.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]