Quiz — devoir-de-synthèse-n°3--2018-2019(mr-meddeb-tarek).pdf

Question 1 sur 10 20:00

[{"id":24844,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 6","option_c":"x = 4","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 20, on soustrait 5 des deux côtés : 3x = 15. Puis on divise par 3 : 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 = 6\", \"c\": \"x = 4\", \"d\": \"x = 7\"}}","_debug_options_count":4},{"id":24845,"question":"La fraction 12\/18 est-elle irréductible ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fraction 12\/18 peut être simplifiée par 6, ce qui donne 2\/3. Elle n'est donc pas irréductible.","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":24846,"question":"Quel est le périmètre d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"26 cm","option_b":"40 cm","option_c":"13 cm","option_d":"30 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un rectangle se calcule avec la formule P = 2 × (longueur + largeur). Ici, P = 2 × (8 + 5) = 26 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"26 cm\", \"b\": \"40 cm\", \"c\": \"13 cm\", \"d\": \"30 cm\"}}","_debug_options_count":4},{"id":24847,"question":"L'aire d'un triangle est toujours égale à la moitié du produit de sa base par sa hauteur.","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 : Aire = (base × hauteur) \/ 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":24848,"question":"Quelle est la valeur de x dans l'équation 2x - 7 = 3x + 1 ?","option_a":"x = -8","option_b":"x = 8","option_c":"x = -6","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"c","explication":"On soustrait 2x des deux côtés : -7 = x + 1. Puis on soustrait 1 : x = -8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"x = -8\", \"b\": \"x = 8\", \"c\": \"x = -6\", \"d\": \"x = 6\"}}","_debug_options_count":4},{"id":24849,"question":"La somme de deux fractions de même dénominateur s'obtient en additionnant les numérateurs.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est exact : pour deux fractions a\/b et c\/b, leur somme est (a + c)\/b.","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":24850,"question":"Un carré a un côté de 4 cm. Quelle est son aire ?","option_a":"8 cm²","option_b":"16 cm²","option_c":"32 cm²","option_d":"4 cm²","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'aire d'un carré se calcule avec la formule Aire = côté × côté. Ici, Aire = 4 × 4 = 16 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"8 cm²\", \"b\": \"16 cm²\", \"c\": \"32 cm²\", \"d\": \"4 cm²\"}}","_debug_options_count":4},{"id":24851,"question":"L'équation 5x = 0 a pour solution x = 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La solution de 5x = 0 est x = 0, car 5 × 0 = 0. x = 1 ne vérifie pas l'équation.","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":24852,"question":"Quelle est la fraction irréductible équivalente à 15\/25 ?","option_a":"3\/5","option_b":"5\/3","option_c":"1\/2","option_d":"5\/7","option_e":"","option_f":"","bonne_reponse":"a","explication":"On simplifie 15\/25 en divisant le numérateur et le dénominateur par 5 : 15 ÷ 5 = 3 et 25 ÷ 5 = 5. La fraction irréductible est donc 3\/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\": \"3\/5\", \"b\": \"5\/3\", \"c\": \"1\/2\", \"d\": \"5\/7\"}}","_debug_options_count":4},{"id":24853,"question":"Le périmètre d'un carré de côté 6 cm est égal à l'aire d'un rectangle de longueur 9 cm et de largeur 4 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le périmètre du carré est 4 × 6 = 24 cm. L'aire du rectangle est 9 × 4 = 36 cm². 24 ≠ 36, donc la réponse est Faux.","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}]