Quiz Mathématiques : Équations, Géométrie et Calculs — 7ème Année

Question 1 sur 10 10:00

[{"id":15188,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = -5","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 5 des deux côtés : 3x = 15. Diviser par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15189,"question":"Un triangle avec des côtés de 3 cm, 4 cm et 5 cm est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"3² + 4² = 9 + 16 = 25 = 5². Le triangle est donc rectangle (théorème de Pythagore).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15190,"question":"Quelle est la valeur de x dans l'inéquation 2x - 7 \u003C 5 ?","option_a":"x \u003C 6","option_b":"x \u003E 6","option_c":"x ≤ 6","option_d":"x ≥ 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajouter 7 : 2x \u003C 12. Diviser par 2 : x \u003C 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15191,"question":"Quel est le résultat de (-3) × (-4) ?","option_a":"-12","option_b":"12","option_c":"7","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le produit de deux nombres négatifs est positif : (-3) × (-4) = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15192,"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 plane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15193,"question":"Quelle est la forme développée de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 5x - 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Utiliser la distributivité : x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15194,"question":"Un rectangle a une longueur de 8 cm et une largeur de 5 cm. Quelle est son aire ?","option_a":"40 cm²","option_b":"26 cm²","option_c":"30 cm²","option_d":"13 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"Aire = longueur × largeur = 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15195,"question":"L'équation x² = 16 a pour solutions x = 4 et x = -4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les solutions sont bien x = 4 et x = -4, car 4² = 16 et (-4)² = 16.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15196,"question":"Quel est le résultat de 5\/6 + 1\/3 ?","option_a":"7\/6","option_b":"6\/9","option_c":"11\/6","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Mettre au même dénominateur : 5\/6 + 2\/6 = 7\/6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15197,"question":"La médiane d'un triangle est toujours perpendiculaire à un côté.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane est une droite reliant un sommet au milieu du côté opposé, mais elle n'est pas toujours perpendiculaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]