Quiz Mathématiques : Algèbre et Géométrie pour le Collège

Question 1 sur 10 10:00

[{"id":78752,"question":"Quelle est la solution de l'équation 3x - 7 = 11 ?","option_a":"x = 6","option_b":"x = 4","option_c":"x = 18\/3","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 7 = 11, on ajoute 7 des deux côtés : 3x = 18, puis on divise par 3 : x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78753,"question":"Un carré a un côté de 5 cm. Quelle est son aire ?","option_a":"25 cm²","option_b":"20 cm²","option_c":"10 cm²","option_d":"15 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un carré se calcule par côté × côté, soit 5 × 5 = 25 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78754,"question":"Vrai ou Faux : La somme de deux nombres impairs est toujours paire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par exemple, 3 (impair) + 5 (impair) = 8 (pair). La propriété est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78755,"question":"Quelle est la valeur de 2³ × 2² ?","option_a":"2⁵","option_b":"2⁶","option_c":"4⁵","option_d":"4⁶","option_e":"","option_f":"","bonne_reponse":"A","explication":"2³ × 2² = 2^(3+2) = 2⁵, car les puissances de même base s'additionnent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78756,"question":"Vrai ou Faux : Un triangle rectangle peut avoir deux angles droits.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un triangle rectangle a un angle droit (90°), les deux autres angles sont aigus (moins de 90°).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78757,"question":"Résoudre l'inéquation : 2x + 3 \u003E 7","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78758,"question":"Quelle est la fraction irréductible de 18\/24 ?","option_a":"3\/4","option_b":"2\/3","option_c":"9\/12","option_d":"6\/8","option_e":"","option_f":"","bonne_reponse":"A","explication":"18\/24 = (18÷6)\/(24÷6) = 3\/4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78759,"question":"Vrai ou Faux : Le périmètre d'un cercle est donné par 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":78760,"question":"Calculer : (-3)² - (-2)³","option_a":"17","option_b":"-17","option_c":"1","option_d":"-1","option_e":"","option_f":"","bonne_reponse":"A","explication":"(-3)² = 9 et (-2)³ = -8, donc 9 - (-8) = 9 + 8 = 17.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78761,"question":"Vrai ou Faux : Les diagonales d'un losange sont perpendiculaires.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans un losange, les diagonales se coupent en leur milieu et sont perpendiculaires.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]