Quiz — Schaums Outline - Review of Elementary Mathematics.pdf

Question 1 sur 10 20:00

[{"id":23644,"question":"Quel est le résultat de l’opération suivante : 7 × (8 + 2) ?","option_a":"70","option_b":"17","option_c":"58","option_d":"90","option_e":"","option_f":"","bonne_reponse":"a","explication":"La priorité des opérations impose de calculer d’abord la parenthèse (8 + 2 = 10), puis la multiplication (7 × 10 = 70).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"70\", \"b\": \"17\", \"c\": \"58\", \"d\": \"90\"}}","_debug_options_count":4},{"id":23645,"question":"Une fraction est irréductible si son numérateur et son dénominateur n’ont aucun diviseur commun autre que 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fraction est irréductible lorsque le plus grand commun diviseur (PGCD) du numérateur et du dénominateur est égal à 1.","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":23646,"question":"Résoudre l’équation suivante : 3x + 5 = 20","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = 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 = 3\"}}","_debug_options_count":4},{"id":23647,"question":"Quel pourcentage représente 15 sur 60 ?","option_a":"25%","option_b":"15%","option_c":"20%","option_d":"30%","option_e":"","option_f":"","bonne_reponse":"b","explication":"Calcul : (15 \/ 60) × 100 = 25%. La bonne réponse est donc 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\": \"25%\", \"b\": \"15%\", \"c\": \"20%\", \"d\": \"30%\"}}","_debug_options_count":4},{"id":23648,"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":"Cette propriété est fondamentale en géométrie plane et s’applique à tous les triangles.","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":23649,"question":"Simplifier l’expression suivante : 4x + 3y - 2x + y","option_a":"2x + 4y","option_b":"6x + 4y","option_c":"2x + 2y","option_d":"4x + 2y","option_e":"","option_f":"","bonne_reponse":"a","explication":"Regrouper les termes semblables : (4x - 2x) + (3y + y) = 2x + 4y.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"2x + 4y\", \"b\": \"6x + 4y\", \"c\": \"2x + 2y\", \"d\": \"4x + 2y\"}}","_debug_options_count":4},{"id":23650,"question":"Un rectangle a une longueur de 8 cm et une largeur de 5 cm. Quel est son périmètre ?","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 par la formule 2 × (longueur + largeur) = 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":23651,"question":"Pour résoudre une équation du type ax + b = c, il faut d’abord isoler x.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La méthode consiste à soustraire b des deux côtés, puis à diviser par a pour isoler x.","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":23652,"question":"Quel est le résultat de 0,75 en pourcentage ?","option_a":"75%","option_b":"0,75%","option_c":"7,5%","option_d":"750%","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour convertir un nombre décimal en pourcentage, multiplier par 100 : 0,75 × 100 = 75%.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"75%\", \"b\": \"0,75%\", \"c\": \"7,5%\", \"d\": \"750%\"}}","_debug_options_count":4},{"id":23653,"question":"La formule du volume d’un cube de côté a est V = a³.","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 en multipliant la longueur du côté par elle-même trois fois (a × a × a = a³).","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}]