Quiz de révision : Mathématiques collège — Nombres, fractions et géométrie

Question 1 sur 10 10:00

[{"id":43456,"question":"Quel est le résultat de l’opération suivante : (-3) + 7 - (-2) ?","option_a":"2","option_b":"6","option_c":"8","option_d":"12","option_e":"","option_f":"","bonne_reponse":"C","explication":"On applique les règles des nombres relatifs : (-3) + 7 = 4, puis 4 - (-2) = 4 + 2 = 6. Le résultat est donc 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43457,"question":"Vrai ou Faux : La fraction 3\/4 est équivalente à 6\/8.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43458,"question":"Résous l’équation suivante : 2x + 5 = 13. Quelle est la valeur de x ?","option_a":"x = 4","option_b":"x = 3","option_c":"x = 6","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustrais 5 des deux côtés : 2x = 8. Divise par 2 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43459,"question":"Quel est le périmètre d’un rectangle de longueur 5 cm et de largeur 3 cm ?","option_a":"8 cm","option_b":"16 cm","option_c":"15 cm","option_d":"10 cm","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le périmètre d’un rectangle se calcule par la formule P = 2 × (longueur + largeur). Ici, P = 2 × (5 + 3) = 16 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43460,"question":"Vrai ou Faux : L’aire d’un triangle est égale à (base × hauteur) \/ 2.","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 : l’aire d’un triangle se calcule bien avec cette formule.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43461,"question":"Simplifie la fraction suivante : 12\/18.","option_a":"2\/3","option_b":"4\/6","option_c":"6\/9","option_d":"3\/4","option_e":"","option_f":"","bonne_reponse":"A","explication":"On divise le numérateur et le dénominateur par leur PGCD, qui est 6. 12 ÷ 6 = 2 et 18 ÷ 6 = 3, donc 12\/18 = 2\/3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43462,"question":"Quel est le résultat de 3\/5 + 2\/10 ?","option_a":"1\/2","option_b":"5\/10","option_c":"4\/15","option_d":"7\/10","option_e":"","option_f":"","bonne_reponse":"D","explication":"On met les fractions au même dénominateur : 3\/5 = 6\/10. 6\/10 + 2\/10 = 8\/10 = 4\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43463,"question":"Vrai ou Faux : Le produit de deux nombres négatifs est toujours positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C’est une règle fondamentale des nombres relatifs : (-a) × (-b) = a × b (positif).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43464,"question":"Résous l’équation suivante : 4(x - 2) = 12. Quelle est la valeur de x ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 4","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Divise d’abord par 4 : x - 2 = 3. Ajoute 2 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43465,"question":"Quel est l’aire d’un carré de côté 4 cm ?","option_a":"8 cm²","option_b":"16 cm²","option_c":"12 cm²","option_d":"20 cm²","option_e":"","option_f":"","bonne_reponse":"B","explication":"L’aire d’un carré se calcule par la formule A = côté × côté. Ici, A = 4 × 4 = 16 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]