Quiz — cours_aritmetiq.pdf

Question 1 sur 10 20:00

[{"id":63863,"question":"Quel est le résultat de 125 + 37 ?","option_a":"152","option_b":"162","option_c":"172","option_d":"182","option_e":"","option_f":"","bonne_reponse":"b","explication":"125 + 37 = 162. Pour vérifier, ajoutez les unités (5 + 7 = 12, retenez 1) puis les dizaines (2 + 3 + 1 = 6).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"152\", \"b\": \"162\", \"c\": \"172\", \"d\": \"182\"}}","_debug_options_count":4},{"id":63864,"question":"Le nombre 15 est-il un nombre premier ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"15 n'est pas un nombre premier car il est divisible par 1, 3, 5 et 15.","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":63865,"question":"Quelle est la simplification de la fraction 18\/24 ?","option_a":"3\/4","option_b":"2\/3","option_c":"9\/12","option_d":"6\/8","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le PGCD de 18 et 24 est 6. Divisez le numérateur et le dénominateur par 6 : 18 ÷ 6 = 3 et 24 ÷ 6 = 4.","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\/4\", \"b\": \"2\/3\", \"c\": \"9\/12\", \"d\": \"6\/8\"}}","_debug_options_count":4},{"id":63866,"question":"Quel est le PGCD de 36 et 48 ?","option_a":"6","option_b":"12","option_c":"18","option_d":"24","option_e":"","option_f":"","bonne_reponse":"b","explication":"Les diviseurs de 36 sont : 1, 2, 3, 4, 6, 9, 12, 18, 36. Ceux de 48 sont : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Le plus grand diviseur commun est 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"6\", \"b\": \"12\", \"c\": \"18\", \"d\": \"24\"}}","_debug_options_count":4},{"id":63867,"question":"Le nombre 1 est-il un nombre premier ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Par définition, un nombre premier doit avoir exactement deux diviseurs distincts : 1 et lui-même. Le nombre 1 n'a qu'un seul diviseur.","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":63868,"question":"Quelle est la somme des nombres premiers inférieurs à 10 ?","option_a":"17","option_b":"18","option_c":"19","option_d":"20","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les nombres premiers inférieurs à 10 sont 2, 3, 5 et 7. Leur somme est 2 + 3 + 5 + 7 = 17.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"17\", \"b\": \"18\", \"c\": \"19\", \"d\": \"20\"}}","_debug_options_count":4},{"id":63869,"question":"Un nombre pair peut-il être un nombre premier ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le seul nombre pair qui est premier est 2. Tous les autres nombres pairs sont divisibles par 2, donc non premiers.","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":63870,"question":"Quel est le PPCM de 4 et 6 ?","option_a":"12","option_b":"24","option_c":"8","option_d":"18","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les multiples de 4 sont : 4, 8, 12, 16, 20... Les multiples de 6 sont : 6, 12, 18, 24... Le plus petit multiple commun est 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"12\", \"b\": \"24\", \"c\": \"8\", \"d\": \"18\"}}","_debug_options_count":4},{"id":63871,"question":"La fraction 7\/14 est-elle égale à 1\/2 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"7\/14 peut être simplifiée en divisant le numérateur et le dénominateur par 7 : 7 ÷ 7 = 1 et 14 ÷ 7 = 2. Donc 7\/14 = 1\/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":63872,"question":"Quel est le résultat de 5 × (8 - 3) + 7 ?","option_a":"32","option_b":"22","option_c":"37","option_d":"42","option_e":"","option_f":"","bonne_reponse":"a","explication":"Calculez d'abord la parenthèse : 8 - 3 = 5. Puis multipliez : 5 × 5 = 25. Enfin, ajoutez 7 : 25 + 7 = 32.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"32\", \"b\": \"22\", \"c\": \"37\", \"d\": \"42\"}}","_debug_options_count":4}]