Quiz Mathématiques — 9ème année : Algèbre et Géométrie

Question 1 sur 10 10:00

[{"id":76592,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 7","option_d":"x = 10","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":76593,"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 = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76594,"question":"Vrai ou Faux ? L'équation x² - 4x + 4 = 0 a deux solutions distinctes.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'équation a une solution double : x = 2 (car (x-2)² = 0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76595,"question":"Quelle est l'aire d'un cercle de rayon 7 cm ? (π ≈ 3,14)","option_a":"153,86 cm²","option_b":"143,86 cm²","option_c":"133,86 cm²","option_d":"163,86 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un cercle est πr² = 3,14 × 7² = 3,14 × 49 ≈ 153,86 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76596,"question":"Vrai ou Faux ? La somme des angles d'un triangle est toujours égale à 360°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La somme des angles d'un triangle est toujours égale à 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76597,"question":"Résolvez l'inéquation 2x - 7 \u003C 3.","option_a":"x \u003C 5","option_b":"x \u003E 5","option_c":"x ≤ 5","option_d":"x ≥ 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajoutez 7 des deux côtés : 2x \u003C 10, puis divisez par 2 : x \u003C 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76598,"question":"Quelle est la valeur de l'expression 5a + 3b si a = 2 et b = -1 ?","option_a":"7","option_b":"13","option_c":"11","option_d":"9","option_e":"","option_f":"","bonne_reponse":"A","explication":"Remplacez a et b : 5×2 + 3×(-1) = 10 - 3 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76599,"question":"Vrai ou Faux ? Un parallélogramme a ses diagonales de même longueur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Seul un rectangle (cas particulier de parallélogramme) a des diagonales de même longueur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76600,"question":"Quel est le volume d'un cube d'arête 4 cm ?","option_a":"64 cm³","option_b":"16 cm³","option_c":"32 cm³","option_d":"48 cm³","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube est arête³ = 4³ = 64 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76601,"question":"Quelle est la solution de l'équation 4(x - 2) = 2(x + 6) ?","option_a":"x = 10","option_b":"x = 8","option_c":"x = 12","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez : 4x - 8 = 2x + 12, puis 2x = 20, donc x = 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]