Quiz — P-EX05-26-CM.pdf

Question 1 sur 10 20:00

[{"id":39710,"question":"Quel est le résultat de l'équation suivante : x + 5 = 12 ?","option_a":"x = 7","option_b":"x = 17","option_c":"x = -7","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre x + 5 = 12, on soustrait 5 des deux côtés : x = 12 - 5 = 7.","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 = 7\", \"b\": \"x = 17\", \"c\": \"x = -7\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":39711,"question":"La somme de deux nombres relatifs négatifs est toujours négative.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Exemple : (-3) + (-4) = -7, qui est bien négatif. La règle est donc vraie.","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":39712,"question":"Quel est le périmètre d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"13 cm","option_b":"26 cm","option_c":"40 cm","option_d":"30 cm","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le périmètre d'un rectangle se calcule avec la formule : P = 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\": \"b\", \"options\": {\"a\": \"13 cm\", \"b\": \"26 cm\", \"c\": \"40 cm\", \"d\": \"30 cm\"}}","_debug_options_count":4},{"id":39713,"question":"Si x = -4 et y = 3, quel est le résultat de x × y ?","option_a":"-12","option_b":"12","option_c":"7","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"a","explication":"La multiplication de deux nombres de signes opposés donne un résultat négatif : (-4) × 3 = -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\": \"12\", \"c\": \"7\", \"d\": \"-7\"}}","_debug_options_count":4},{"id":39714,"question":"L'aire d'un triangle se calcule avec la formule : Base × Hauteur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La formule correcte est : Aire = (Base × Hauteur) \/ 2. La division par 2 est indispensable.","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":39715,"question":"Résoudre l'inéquation suivante : 2x - 3 \u003E 7.","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":"Pour résoudre 2x - 3 \u003E 7, on ajoute 3 des deux côtés : 2x \u003E 10, puis on divise par 2 : 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":39716,"question":"Quel est le résultat de (-6) + (+4) ?","option_a":"-10","option_b":"10","option_c":"-2","option_d":"2","option_e":"","option_f":"","bonne_reponse":"c","explication":"Pour additionner des nombres relatifs de signes opposés, on soustrait les valeurs absolues et on garde le signe du nombre le plus grand en valeur absolue : (-6) + (+4) = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"-10\", \"b\": \"10\", \"c\": \"-2\", \"d\": \"2\"}}","_debug_options_count":4},{"id":39717,"question":"Un carré a un côté de 6 cm. Quelle est son aire ?","option_a":"12 cm²","option_b":"24 cm²","option_c":"36 cm²","option_d":"6 cm²","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'aire d'un carré se calcule avec la formule : Aire = côté × côté = 6 × 6 = 36 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"12 cm²\", \"b\": \"24 cm²\", \"c\": \"36 cm²\", \"d\": \"6 cm²\"}}","_debug_options_count":4},{"id":39718,"question":"La division de deux nombres relatifs de même signe donne toujours un résultat positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Exemple : (-12) ÷ (-3) = 4, qui est positif. La règle est donc vraie.","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":39719,"question":"Quel est le résultat de l'expression suivante : 3 × (4 + 2) - 5 ?","option_a":"13","option_b":"19","option_c":"25","option_d":"17","option_e":"","option_f":"","bonne_reponse":"b","explication":"On commence par calculer la parenthèse : 4 + 2 = 6. Ensuite, on multiplie par 3 : 3 × 6 = 18. Enfin, on soustrait 5 : 18 - 5 = 13. Le résultat est donc 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"13\", \"b\": \"19\", \"c\": \"25\", \"d\": \"17\"}}","_debug_options_count":4}]