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[{"id":30458,"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 = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15, puis divisez par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30459,"question":"Le périmètre d'un carré de côté 4 cm est de 16 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré se calcule par 4 × côté. Ici, 4 × 4 = 16 cm, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30460,"question":"Quelle est la fraction irréductible équivalente à 18\/24 ?","option_a":"3\/4","option_b":"9\/12","option_c":"6\/8","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Divisez le numérateur et le dénominateur par leur PGCD (6) : 18 ÷ 6 = 3 et 24 ÷ 6 = 4, d'où 3\/4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30461,"question":"L'aire d'un rectangle de longueur 5 cm et de largeur 3 cm est de 15 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, 5 × 3 = 15 cm², donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30462,"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 = 4","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez d'abord : 2x - 6 = 10, puis ajoutez 6 : 2x = 16, et divisez par 2 : x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30463,"question":"Un triangle rectangle a toujours un angle de 90°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un triangle rectangle possède un angle droit de 90°, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30464,"question":"Quelle est la solution de l'inéquation x + 7 \u003E 12 ?","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x ≥ 5","option_d":"x ≤ 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustrayez 7 des deux côtés : x \u003E 5. L'inéquation signifie que x doit être strictement supérieur à 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30465,"question":"Le volume d'un cube d'arête 3 cm est de 27 cm³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube se calcule par arête³. Ici, 3³ = 27 cm³, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30466,"question":"Quelle est la valeur de y dans l'équation 4y - 8 = 0 ?","option_a":"y = 2","option_b":"y = -2","option_c":"y = 8","option_d":"y = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajoutez 8 des deux côtés : 4y = 8, puis divisez par 4 : y = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30467,"question":"Un parallélogramme a toujours des diagonales de même longueur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Seuls les rectangles et les carrés (cas particuliers de parallélogrammes) ont des diagonales de même longueur. L'affirmation est donc fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]