Maths 7ème : Algèbre et Géométrie — Testez vos connaissances !

Question 1 sur 10 10:00

[{"id":5435,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = 25","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15. Divisez ensuite par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5436,"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 : hypoténuse² = 3² + 4² = 9 + 16 = 25. Donc hypoténuse = √25 = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5437,"question":"L'aire d'un rectangle de longueur 8 cm et de largeur 5 cm est de 40 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle se calcule par longueur × largeur. Ici, 8 × 5 = 40 cm². L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5438,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 10 ?","option_a":"x = 8","option_b":"x = 5","option_c":"x = 13","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez d'abord : 2x - 6 = 10. Ajoutez 6 : 2x = 16. Divisez par 2 : x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5439,"question":"Un carré a un périmètre de 24 cm. Quelle est la longueur de son côté ?","option_a":"6 cm","option_b":"4 cm","option_c":"8 cm","option_d":"12 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré est 4 × côté. Donc côté = 24 \/ 4 = 6 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5440,"question":"Le périmètre d'un cercle de rayon 3 cm est de 6π cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un cercle est 2πr. Ici, 2 × π × 3 = 6π cm. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5441,"question":"Quelle est la solution de l'inéquation 2x - 7 \u003E 5 ?","option_a":"x \u003E 6","option_b":"x \u003E 12","option_c":"x \u003E -1","option_d":"x \u003E 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajoutez 7 des deux côtés : 2x \u003E 12. Divisez par 2 : x \u003E 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5442,"question":"Un parallélogramme a des côtés de 5 cm et 8 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 parallélogramme est 2 × (longueur + largeur). Ici, 2 × (5 + 8) = 26 cm. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5443,"question":"Quelle est la valeur de y si 4y + 3 = 2y + 11 ?","option_a":"y = 4","option_b":"y = 8","option_c":"y = 7","option_d":"y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraisez 2y des deux côtés : 2y + 3 = 11. Soustrayez 3 : 2y = 8. Divisez par 2 : y = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5444,"question":"L'aire d'un triangle de base 6 cm et de hauteur 4 cm est de 12 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle est (base × hauteur) \/ 2. Ici, (6 × 4) \/ 2 = 12 cm². L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]