Quiz Mathématiques 7ème année : Arithmétique, Géométrie & Algèbre

Question 1 sur 10 10:00

[{"id":61927,"question":"Quel est le résultat de l'opération 45 + 27 × 2 ?","option_a":"144","option_b":"99","option_c":"72","option_d":"102","option_e":"","option_f":"","bonne_reponse":"A","explication":"Il faut d'abord effectuer la multiplication (27 × 2 = 54), puis l'addition (45 + 54 = 99). La priorité des opérations est essentielle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61928,"question":"Un rectangle a une longueur de 8 cm et une largeur de 5 cm. Son périmètre est de 26 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un rectangle se calcule par la formule P = 2 × (longueur + largeur). Ici, P = 2 × (8 + 5) = 26 cm. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61929,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 6","option_c":"x = 4","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés (3x = 15), puis divisez par 3 (x = 5). La solution est x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61930,"question":"Quel est le pourcentage que représente 15 sur un total de 60 ?","option_a":"20%","option_b":"25%","option_c":"30%","option_d":"15%","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le pourcentage se calcule par (partie\/total) × 100. Ici, (15\/60) × 100 = 25%.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61931,"question":"La somme des angles d'un triangle est toujours égale à 180 degrés.","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 : la somme des angles internes d'un triangle est toujours 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61932,"question":"Quelle est l'aire d'un carré de côté 6 cm ?","option_a":"12 cm²","option_b":"24 cm²","option_c":"36 cm²","option_d":"48 cm²","option_e":"","option_f":"","bonne_reponse":"C","explication":"L'aire d'un carré se calcule par côté × côté. Ici, 6 × 6 = 36 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61933,"question":"Résolvez l'inéquation 2x - 7 \u003E 5.","option_a":"x \u003E 6","option_b":"x \u003E 5","option_c":"x \u003C 6","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajoutez 7 des deux côtés (2x \u003E 12), puis divisez par 2 (x \u003E 6).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61934,"question":"Un cercle a un rayon de 4 cm. Quelle est sa circonférence ? (π ≈ 3,14)","option_a":"12,56 cm","option_b":"25,12 cm","option_c":"8 cm","option_d":"16 cm","option_e":"","option_f":"","bonne_reponse":"B","explication":"La circonférence se calcule par 2 × π × rayon. Ici, 2 × 3,14 × 4 ≈ 25,12 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61935,"question":"Le nombre 144 est un carré parfait.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"144 est le carré de 12 (12 × 12 = 144), donc c'est un carré parfait.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61936,"question":"Quelle est la valeur de l'expression 5a + 3b si a = 2 et b = 4 ?","option_a":"22","option_b":"26","option_c":"18","option_d":"30","option_e":"","option_f":"","bonne_reponse":"B","explication":"Remplacez a et b par leurs valeurs : 5 × 2 + 3 × 4 = 10 + 12 = 22. La réponse correcte est 22.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]