Quiz : Maîtrisez les bases des mathématiques en 1ère année secondaire

Question 1 sur 10 10:00

[{"id":29288,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 15","option_d":"x = 5\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29289,"question":"Le triangle ABC est rectangle en A. Si AB = 3 cm et AC = 4 cm, alors BC mesure :","option_a":"5 cm","option_b":"7 cm","option_c":"12 cm","option_d":"√7 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore, BC² = AB² + AC² = 9 + 16 = 25, donc BC = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29290,"question":"Vrai ou Faux : L'inéquation 2x + 3 \u003E 7 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En soustrayant 3 : 2x \u003E 4, puis en divisant par 2 : x \u003E 2. La solution est correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29291,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29292,"question":"Vrai ou Faux : La somme des angles d'un triangle est toujours égale à 180°.","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 d'un triangle est toujours 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29293,"question":"Résolvez l'inéquation : -2x + 5 ≤ 11.","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"En soustrayant 5 : -2x ≤ 6, puis en divisant par -2 (attention au changement de sens) : x ≥ -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29294,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"40 cm²","option_b":"26 cm²","option_c":"13 cm²","option_d":"30 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle est donnée par longueur × largeur = 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29295,"question":"Vrai ou Faux : La racine carrée de 16 est égale à 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La racine carrée de 16 est bien 4, car 4² = 16.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29296,"question":"Quelle est la solution de l'équation x² - 4x + 4 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette équation est un carré parfait : (x - 2)² = 0, donc x = 2 est la solution double.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29297,"question":"Vrai ou Faux : Le périmètre d'un cercle est donné par la formule P = π × r.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La formule du périmètre d'un cercle est P = 2π × r, où r est le rayon.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]