Quiz — Arith 3 Math 2023.pdf

Question 1 sur 10 20:00

[{"id":121619,"question":"Quel est le résultat de l'opération : 3\/4 + 2\/5 ?","option_a":"17\/20","option_b":"11\/9","option_c":"1\/2","option_d":"13\/20","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour additionner des fractions, il faut les mettre au même dénominateur. Ici, 3\/4 = 15\/20 et 2\/5 = 8\/20. La somme est donc 15\/20 + 8\/20 = 23\/20 (ou 1,15).","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\/20\", \"b\": \"11\/9\", \"c\": \"1\/2\", \"d\": \"13\/20\"}}","_debug_options_count":4},{"id":121620,"question":"La décomposition en facteurs premiers de 60 est : 2 × 2 × 3 × 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"60 = 2 × 2 × 3 × 5 est correct. C'est la décomposition en facteurs premiers de 60.","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":121621,"question":"Quelle est la valeur de 5⁻² ?","option_a":"-10","option_b":"1\/25","option_c":"25","option_d":"1\/10","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une puissance négative correspond à l'inverse de la puissance positive. Donc 5⁻² = 1\/5² = 1\/25.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"-10\", \"b\": \"1\/25\", \"c\": \"25\", \"d\": \"1\/10\"}}","_debug_options_count":4},{"id":121622,"question":"Résoudre l'équation : 3x + 7 = 22.","option_a":"x = 5","option_b":"x = 15","option_c":"x = 1\/3","option_d":"x = 29\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"3x + 7 = 22 → 3x = 22 - 7 → 3x = 15 → x = 15\/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 = 15\", \"c\": \"x = 1\/3\", \"d\": \"x = 29\/3\"}}","_debug_options_count":4},{"id":121623,"question":"La racine carrée de 144 est 12.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"12 × 12 = 144, donc √144 = 12 est vrai.","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":121624,"question":"Quel est le résultat de (2\/3) × (9\/4) ?","option_a":"3\/2","option_b":"1\/2","option_c":"18\/12","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour multiplier des fractions, on multiplie les numérateurs et les dénominateurs : (2×9)\/(3×4) = 18\/12 = 3\/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\": \"3\/2\", \"b\": \"1\/2\", \"c\": \"18\/12\", \"d\": \"2\/3\"}}","_debug_options_count":4},{"id":121625,"question":"Un article coûte 80 dinars. Après une réduction de 20%, quel est son nouveau prix ?","option_a":"16 dinars","option_b":"64 dinars","option_c":"96 dinars","option_d":"60 dinars","option_e":"","option_f":"","bonne_reponse":"b","explication":"20% de 80 = (20\/100) × 80 = 16. Le nouveau prix est 80 - 16 = 64 dinars.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"16 dinars\", \"b\": \"64 dinars\", \"c\": \"96 dinars\", \"d\": \"60 dinars\"}","_debug_options_count":4},{"id":121626,"question":"L'inéquation 2x - 5 \u003E 7 a pour solution : x \u003E 6.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"2x - 5 \u003E 7 → 2x \u003E 12 → x \u003E 6. La solution est donc x \u003E 6.","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":121627,"question":"Quelle est la valeur de √(49 + 16) ?","option_a":"9","option_b":"11","option_c":"√65","option_d":"√33","option_e":"","option_f":"","bonne_reponse":"b","explication":"√(49 + 16) = √65 ≈ 8,06. Mais 9² = 81 et 11² = 121, donc aucune des réponses proposées n'est exacte. La bonne réponse est √65.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"9\", \"b\": \"11\", \"c\": \"√65\", \"d\": \"√33\"}}","_debug_options_count":4},{"id":121628,"question":"Si 3 kg de pommes coûtent 7,5 dinars, combien coûtent 5 kg ?","option_a":"10 dinars","option_b":"12,5 dinars","option_c":"15 dinars","option_d":"22,5 dinars","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le prix au kg est 7,5 \/ 3 = 2,5 dinars. Pour 5 kg, le coût est 5 × 2,5 = 12,5 dinars.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"10 dinars\", \"b\": \"12,5 dinars\", \"c\": \"15 dinars\", \"d\": \"22,5 dina","_debug_options_count":4}]