Quiz — كراس_الرياضيات_102610.pdf

Question 1 sur 10 20:00

[{"id":14489,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 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\/3\", \"c\": \"x = 5\/3\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":14490,"question":"Un triangle rectangle a un angle de 30°. Quel est la mesure du troisième angle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme des angles d'un triangle est 180°. Si un angle est 90° et un autre 30°, le troisième est 60° (180 - 90 - 30 = 60). L'affirmation 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":14491,"question":"Quelle est l'expression développée de (2x + 3)(x - 4) ?","option_a":"2x² - 5x - 12","option_b":"2x² + x - 12","option_c":"2x² - 11x - 12","option_d":"2x² - 8x + 3","option_e":"","option_f":"","bonne_reponse":"c","explication":"En développant : 2x * x + 2x * (-4) + 3 * x + 3 * (-4) = 2x² - 8x + 3x - 12 = 2x² - 5x - 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\": \"2x² - 5x - 12\", \"b\": \"2x² + x - 12\", \"c\": \"2x² - 11x - 12\", \"d","_debug_options_count":4},{"id":14492,"question":"La médiane d'un triangle est toujours perpendiculaire à la base ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane relie un sommet au milieu du côté opposé, mais elle n'est pas toujours perpendiculaire à la base (sauf dans un triangle isocèle ou équilatéral).","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":14493,"question":"Quel est le résultat de 3\/4 + 2\/5 ?","option_a":"5\/9","option_b":"15\/20","option_c":"23\/20","option_d":"11\/10","option_e":"","option_f":"","bonne_reponse":"c","explication":"Pour additionner 3\/4 et 2\/5, on met au même dénominateur : 15\/20 + 8\/20 = 23\/20.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"5\/9\", \"b\": \"15\/20\", \"c\": \"23\/20\", \"d\": \"11\/10\"}}","_debug_options_count":4},{"id":14494,"question":"L'aire d'un rectangle de longueur 5 cm et de largeur 3 cm est de 15 cm² ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle se calcule par longueur × largeur. Ici, 5 cm × 3 cm = 15 cm². L'affirmation 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":14495,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 3)²","option_c":"(x + 3)²","option_d":"(x - 9)(x + 1)","option_e":"","option_f":"","bonne_reponse":"a","explication":"x² - 9 est une différence de carrés : (x)² - (3)² = (x - 3)(x + 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\": \"(x - 3)(x + 3)\", \"b\": \"(x - 3)²\", \"c\": \"(x + 3)²\", \"d\": \"(x - 9","_debug_options_count":4},{"id":14496,"question":"Un angle de 120° est-il un angle obtus ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un angle obtus mesure entre 90° et 180°. 120° est donc un angle obtus.","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":14497,"question":"Quel est le coefficient directeur de la droite d'équation y = -2x + 5 ?","option_a":"5","option_b":"-2","option_c":"2","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans l'équation y = mx + p, m est le coefficient directeur. Ici, m = -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\": \"5\", \"b\": \"-2\", \"c\": \"2\", \"d\": \"-5\"}}","_debug_options_count":4},{"id":14498,"question":"La somme des angles d'un quadrilatère est toujours égale à 360° ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un quadrilatère peut être divisé en deux triangles, chacun ayant une somme d'angles de 180°. Donc 180° × 2 = 360°. L'affirmation est 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}]