Quiz — سلسلة النجاح في الرياضيات.pdf

Question 1 sur 10 20:00

[{"id":5886,"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 = 25\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 5 des deux côtés donne 3x = 15, puis diviser par 3 donne x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 5\", \"b\": \"x = 15\", \"c\": \"x = 10\", \"d\": \"x = 25\/3\"}}","_debug_options_count":4},{"id":5887,"question":"Le carré d'un nombre négatif est toujours positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Exemple : (-3)² = 9, qui est positif. La règle s'applique à tous les nombres réels.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":5888,"question":"Quelle est la valeur de l'expression 2a + 3b si a = 4 et b = -1 ?","option_a":"5","option_b":"11","option_c":"1","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"b","explication":"Remplacer a par 4 et b par -1 : 2*4 + 3*(-1) = 8 - 3 = 5. La réponse correcte est 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"5\", \"b\": \"11\", \"c\": \"1\", \"d\": \"-5\"}}","_debug_options_count":4},{"id":5889,"question":"L'aire d'un triangle rectangle est égale à la moitié du produit de ses deux côtés de l'angle droit.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété fondamentale des triangles rectangles. Si les côtés sont a et b, l'aire est (a*b)\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":5890,"question":"Quelle est la solution de l'inéquation 2x - 7 \u003E 3 ?","option_a":"x \u003E 5","option_b":"x \u003E 10","option_c":"x \u003C 5","option_d":"x \u003C 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Ajouter 7 des deux côtés donne 2x \u003E 10, puis diviser par 2 donne x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x \u003E 5\", \"b\": \"x \u003E 10\", \"c\": \"x \u003C 5\", \"d\": \"x \u003C 10\"}}","_debug_options_count":4},{"id":5891,"question":"Le périmètre d'un carré de côté 5 cm est de 25 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le périmètre d'un carré est 4*côté. Donc 4*5 = 20 cm, pas 25 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":5892,"question":"Quelle est la valeur de x dans 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":"Soustraire 3 des deux côtés donne x\/2 = 4, puis multiplier par 2 donne x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x = 4\", \"b\": \"x = 8\", \"c\": \"x = 10\", \"d\": \"x = 14\"}}","_debug_options_count":4},{"id":5893,"question":"La somme des angles d'un triangle est toujours égale à 180 degrés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété géométrique fondamentale des triangles dans un plan euclidien.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":5894,"question":"Quelle est la solution de l'équation 5 - 2x = 1 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 3","option_d":"x = -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 5 des deux côtés donne -2x = -4, puis diviser par -2 donne x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 2\", \"b\": \"x = -2\", \"c\": \"x = 3\", \"d\": \"x = -3\"}}","_debug_options_count":4},{"id":5895,"question":"Le volume d'un cube de côté 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 est côté³. Donc 3³ = 27 cm³, ce qui est correct.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]