Série d'exercices de mathématiques pour la 3ème avec corrections. Exercices d'algèbre, géométrie et logique pour réviser efficacement le programme officiel.
Question 1 sur 10 10:00
[{"id":28988,"question":"Quelle est la solution de l'équation 3x - 5 = 16 ?","option_a":"x = 7","option_b":"x = 10","option_c":"x = 5","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 16 → 3x = 21 → x = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28989,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Il s'applique uniquement aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28990,"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 = (x - 3)(x + 3) car 9 = 3².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28991,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont-ils égaux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28992,"question":"Quelle est l'aire d'un triangle de base 8 cm et de hauteur 5 cm ?","option_a":"20 cm²","option_b":"40 cm²","option_c":"13 cm²","option_d":"16 cm²","option_e":"","option_f":"","bonne_reponse":"B","explication":"Aire = (base × hauteur) \/ 2 = (8 × 5) \/ 2 = 20 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28993,"question":"La réciproque du théorème de Thalès permet-elle de démontrer que deux droites sont parallèles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La réciproque de Thalès permet de prouver le parallélisme.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28994,"question":"Résoudre l'inéquation 2x + 7 \u003E 15.","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E 8","option_d":"x \u003C 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 7 \u003E 15 → 2x \u003E 8 → x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28995,"question":"Le volume d'un cylindre est-il égal à π × r² × h ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule du volume d'un cylindre est bien π × r² × h.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28996,"question":"Quelle est la solution de l'équation x² = 25 ?","option_a":"x = 5","option_b":"x = -5","option_c":"x = 5 ou x = -5","option_d":"x = 25","option_e":"","option_f":"","bonne_reponse":"C","explication":"x² = 25 → x = 5 ou x = -5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28997,"question":"Si deux angles d'un triangle mesurent 60° et 50°, quelle est la mesure du troisième angle ?","option_a":"70°","option_b":"50°","option_c":"60°","option_d":"110°","option_e":"","option_f":"","bonne_reponse":"A","explication":"La somme des angles d'un triangle est 180° → 180 - 60 - 50 = 70°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]
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