Quiz — cours-exo7.pdf

Question 1 sur 10 20:00

[{"id":92478,"question":"Quel est le résultat de (-5) + (+3) ?","option_a":"-8","option_b":"-2","option_c":"2","option_d":"8","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour additionner deux nombres entiers de signes contraires, on soustrait leurs valeurs absolues et on garde le signe du nombre ayant la plus grande valeur absolue. Ici, |-5| \u003E |+3|, donc le résultat est négatif : -5 + 3 = -2.","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\", \"b\": \"-2\", \"c\": \"2\", \"d\": \"8\"}}","_debug_options_count":4},{"id":92479,"question":"La fraction 12\/18 est-elle simplifiable ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Oui, car 12 et 18 ont un diviseur commun autre que 1 (le PGCD est 6). 12 ÷ 6 = 2 et 18 ÷ 6 = 3, donc 12\/18 = 2\/3.","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":92480,"question":"Quel est le périmètre d'un carré de côté 5 cm ?","option_a":"10 cm","option_b":"15 cm","option_c":"20 cm","option_d":"25 cm","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le périmètre d'un carré se calcule en multipliant la longueur d'un côté par 4 : 5 cm × 4 = 20 cm.","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 cm\", \"b\": \"15 cm\", \"c\": \"20 cm\", \"d\": \"25 cm\"}}","_debug_options_count":4},{"id":92481,"question":"Pour additionner 1\/4 et 2\/3, quel dénominateur commun choisir ?","option_a":"6","option_b":"8","option_c":"12","option_d":"24","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le dénominateur commun est le plus petit multiple commun (PPCM) des dénominateurs 4 et 3, soit 12. 1\/4 = 3\/12 et 2\/3 = 8\/12, donc 1\/4 + 2\/3 = 11\/12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"6\", \"b\": \"8\", \"c\": \"12\", \"d\": \"24\"}}","_debug_options_count":4},{"id":92482,"question":"L'aire d'un rectangle de longueur 6 cm et de largeur 4 cm est de 24 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai. L'aire d'un rectangle se calcule en multipliant la longueur par la largeur : 6 cm × 4 cm = 24 cm².","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":92483,"question":"Quel est le résultat de (-7) × (+2) ?","option_a":"-14","option_b":"-9","option_c":"9","option_d":"14","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le produit de deux nombres de signes contraires est négatif. Multiplier leurs valeurs absolues : 7 × 2 = 14, donc (-7) × (+2) = -14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"-14\", \"b\": \"-9\", \"c\": \"9\", \"d\": \"14\"}}","_debug_options_count":4},{"id":92484,"question":"Pour comparer 3\/5 et 4\/7, quelle méthode utiliser ?","option_a":"Les additionner","option_b":"Les multiplier","option_c":"Trouver un dénominateur commun","option_d":"Les soustraire","option_e":"","option_f":"","bonne_reponse":"c","explication":"Pour comparer deux fractions, il faut les mettre sous un dénominateur commun ou les convertir en nombres décimaux. Ici, 3\/5 = 0,6 et 4\/7 ≈ 0,57, donc 3\/5 \u003E 4\/7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Les additionner\", \"b\": \"Les multiplier\", \"c\": \"Trouver un dénomi","_debug_options_count":4},{"id":92485,"question":"La somme de deux nombres négatifs est toujours négative.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai. Par exemple, (-3) + (-5) = -8. La somme de deux nombres négatifs donne toujours un résultat négatif.","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":92486,"question":"Quel est le résultat de 2\/3 - 1\/6 ?","option_a":"1\/6","option_b":"1\/3","option_c":"1\/2","option_d":"5\/6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Trouver un dénominateur commun (6) : 2\/3 = 4\/6. Ensuite, 4\/6 - 1\/6 = 3\/6 = 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\": \"1\/6\", \"b\": \"1\/3\", \"c\": \"1\/2\", \"d\": \"5\/6\"}}","_debug_options_count":4},{"id":92487,"question":"L'aire d'un triangle rectangle de côtés 3 cm et 4 cm est de 6 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai. L'aire d'un triangle rectangle se calcule avec la formule (base × hauteur) \/ 2. Ici, (3 cm × 4 cm) \/ 2 = 6 cm².","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}]