Quiz Mathématiques : 7ème année — Algèbre et Géométrie

Question 1 sur 10 10:00

[{"id":65922,"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 = 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrais 5 des deux côtés : 3x = 15, puis divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65923,"question":"Un carré a un côté de 4 cm. Quel est son périmètre ?","option_a":"8 cm","option_b":"16 cm","option_c":"12 cm","option_d":"20 cm","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le périmètre d'un carré se calcule par P = 4 × côté. Ici, P = 4 × 4 = 16 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65924,"question":"Vrai ou Faux : L'aire d'un rectangle se calcule en multipliant sa longueur par sa largeur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle est bien donnée par la formule A = longueur × largeur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65925,"question":"Quelle est la valeur de x dans l'équation 2x - 7 = 3x + 1 ?","option_a":"x = -8","option_b":"x = -6","option_c":"x = 6","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Réarrange l'équation : 2x - 3x = 1 + 7 → -x = 8 → x = -8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65926,"question":"Vrai ou Faux : Un triangle équilatéral a trois angles de 60°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un triangle équilatéral a trois angles égaux, chacun mesurant 60°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65927,"question":"Quel est le volume d'un cube de 3 cm d'arête ?","option_a":"9 cm³","option_b":"12 cm³","option_c":"27 cm³","option_d":"36 cm³","option_e":"","option_f":"","bonne_reponse":"C","explication":"Le volume d'un cube se calcule par V = arête³. Ici, V = 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65928,"question":"Quelle est la solution de l'inéquation 4x \u003E 20 ?","option_a":"x \u003E 5","option_b":"x \u003E 4","option_c":"x \u003E 20","option_d":"x \u003E 16","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 4x \u003E 20, divise par 4 : x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65929,"question":"Vrai ou Faux : Le périmètre d'un cercle se calcule avec la formule P = 2πr.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule du périmètre d'un cercle est bien P = 2πr, où r est le rayon.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65930,"question":"Quelle est la valeur de x dans l'équation 5(x - 2) = 15 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 7","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"C","explication":"Développe l'équation : 5x - 10 = 15 → 5x = 25 → x = 5. Attention, l'option correcte est x = 5, mais ici x = 7 est incorrect.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65931,"question":"Vrai ou Faux : L'aire d'un triangle se calcule en multipliant la base par la hauteur et en divisant par 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle est bien donnée par A = (base × hauteur) \/ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]