Mathématiques 3ème : Évaluation des bases du 1er trimestre

Question 1 sur 10 10:00

[{"id":5965,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 5 des deux côtés, on obtient 3x = 15. En divisant par 3, x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5966,"question":"Le volume d'un cube de côté 4 cm est de 64 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 V = côté³ = 4³ = 64 cm³. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5967,"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)² - (3)² = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5968,"question":"Si f(x) = 2x + 1, alors f(3) = ?","option_a":"5","option_b":"7","option_c":"6","option_d":"8","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x par 3 dans f(x) = 2x + 1, on obtient f(3) = 2*3 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5969,"question":"L'aire d'un triangle rectangle de côtés 3 cm et 4 cm est de 12 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'aire d'un triangle rectangle se calcule par (base * hauteur)\/2 = (3*4)\/2 = 6 cm². L'affirmation est fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5970,"question":"Quelle est la solution de 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":"En soustrayant 3 des deux côtés, on obtient 2x \u003E 4. En divisant par 2, x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5971,"question":"Le théorème de Pythagore s'applique à tous les triangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5972,"question":"Quelle est la pente de la droite d'équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l'équation y = mx + b, m représente la pente. Ici, m = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5973,"question":"Si un rectangle a une longueur de 8 cm et une largeur de 5 cm, son périmètre est de 26 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un rectangle se calcule par 2*(longueur + largeur) = 2*(8+5) = 26 cm. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":5974,"question":"Quelle est la solution de l'équation x\/2 + 3 = 7 ?","option_a":"x = 4","option_b":"x = 8","option_c":"x = 10","option_d":"x = 14","option_e":"","option_f":"","bonne_reponse":"B","explication":"En soustrayant 3 des deux côtés, on obtient x\/2 = 4. En multipliant par 2, x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]