[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-144012-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-144012-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","wiut-28-june-2024-azamath","WIUT 28 June 2024 AzaMath","","This document contains a collection of mathematical problems and exercises, dated June 28, 2024, from Westminster. It covers a range of topics including logarithms, trigonometry, sequences and series, systems of equations, number theory (combinatorics), functions, direct and inverse proportion, geometry (area calculations, heights, squares and circles), exponential equations, inequalities, and financial mathematics (interest calculations). The problems are presented in a question-and-answer format, typical of an exam or practice sheet, and are designed to test a student's understanding of various mathematical concepts and their ability to apply problem-solving techniques. Some problems require algebraic manipulation, while others involve geometric reasoning or the application of specific formulas. The document appears to be a set of questions posed by or for AzaMath, with associated handles @Galaktikamath and @azamath01.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/wiut-28-june-2024-azamath/144012/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/wiut-28-june-2024-azamath/144012.png","ImageObject",300,407,{"name":42,"@type":43},"Quinn","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-08-25",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",16,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What mathematical concepts are covered in this document?","Question",{"text":63,"@type":64},"The document covers a variety of mathematical topics including logarithms, trigonometry, sequences, systems of equations, number theory, functions, geometry, exponential equations, inequalities, and financial mathematics.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the date and source of these mathematical problems?",{"text":68,"@type":64},"The problems are dated June 28, 2024, and are associated with Westminster and AzaMath, with handles @Galaktikamath and @azamath01.",{"name":70,"@type":61,"acceptedAnswer":71},"What types of skills are tested by these problems?",{"text":72,"@type":64},"The problems test algebraic manipulation, geometric reasoning, application of formulas, and problem-solving techniques across different areas of mathematics.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},144012,1787697944,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":111},962075114765,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","@Galaktikamath  @azamath01  \nWestminster 28 June 2024  \n1. Solve: log 3 2 + 2log 3 􀝔 = log 3 (7􀝔 − 3)  \n2. Simplify: sinsin3􀯫􀯫 − coscos3􀯫􀯫  \n3. Find the sum of sequence: 18 ; 12 ; 2; …; 32  \n4. { 􀝔4􀝔−+53==6 , find 􀝔 − 􀝕  \n5. Four digit code. 1st number should be prime, 2nd number should be odd, 3rddivisible by 5, 4th-nonprime odd. Find the number of possible combinations  \n6. Find the domain of function 􀝂 (􀝔) = √−2􀯫  \n7. Ifa Nissan car spends 60 kW of energy for 250 km, then how much will it spend for 700 km?  \n8. Find the area of ABC  \n9. Find the filled area  \n10. Find 􀝔 + 􀝕 + 􀝖  \n11. Find the height of balloon balloon  \n12. Squares are circumscribed and inscribed around a circle  \nThe area of the circumscribed square is 625. Find the area of the inscribed square  \n13. Solve: 9􀯫 + 6􀯫 = 2 ∙ 4􀯫  \n14. Simplify: 1 + 1~~1~~􀳣  \n15. Solve: 11􀯫􀯫 ≥ 1  \n16. The sum of the tree currents is 0. The first is twice as second and the third one is  \n9.6 more than first current. Find all of them  \n17. Phyllis invested 12 . 000 $, a portion earnings a simple interest rate of 4.5 % per year and the rest earning a rate of 4 % per year. After 1 year the total interest earned on these investments was 525 $ . How much money did she invest at each rate?  \n18. How high is the window? How tall is the tower?  \n19. Find x","cbCaio1WmNzqRSsQ","https://ap.wps.com/l/cbCaio1WmNzqRSsQ","pdf",214603,"English","# Problems\n1. Solve: log 3 2 + 2log 3 􀝔 = log 3 (7􀝔 − 3)\n2. Simplify: sinsin3􀯫􀯫 − coscos3􀯫􀯫\n3. Find the sum of sequence: 18 ; 12 ; 2; …; 32\n4. { 􀝔4􀝔−+53==6 , find 􀝔 − 􀝕\n5. Four digit code. 1st number should be prime, 2nd number should be odd, 3rddivisible by 5, 4th-nonprime odd. Find the number of possible combinations\n6. Find the domain of function 􀝂 (􀝔) = √−2􀯫\n7. Ifa Nissan car spends 60 kW of energy for 250 km, then how much will it spend for 700 km?\n8. Find the area of ABC\n9. Find the filled area\n10. Find 􀝔 + 􀝕 + 􀝖\n11. Find the height of balloon balloon\n12. Squares are circumscribed and inscribed around a circle\nThe area of the circumscribed square is 625. Find the area of the inscribed square\n13. Solve: 9􀯫 + 6􀯫 = 2 ∙ 4􀯫\n14. Simplify: 1 + 1~~1~~\n15. Solve: 11􀯫􀯫 ≥ 1\n16. The sum of the tree currents is 0. The first is twice as second and the third one is 9.6 more than first current. Find all of them\n17. Phyllis invested 12 . 000 $, a portion earnings a simple interest rate of 4.5 % per year and the rest earning a rate of 4 % per year. After 1 year the total interest earned on these investments was 525 $ . How much money did she invest at each rate?\n18. How high is the window? How tall is the tower?\n19. Find x","[{\"question\":\"What mathematical concepts are covered in this document?\",\"answer\":\"The document covers a variety of mathematical topics including logarithms, trigonometry, sequences, systems of equations, number theory, functions, geometry, exponential equations, inequalities, and financial mathematics.\"},{\"question\":\"What is the date and source of these mathematical problems?\",\"answer\":\"The problems are dated June 28, 2024, and are associated with Westminster and AzaMath, with handles @Galaktikamath and @azamath01.\"},{\"question\":\"What types of skills are tested by these problems?\",\"answer\":\"The problems test algebraic manipulation, geometric reasoning, application of formulas, and problem-solving techniques across different areas of mathematics.\"}]","WIUT 28 June 2024 AzaMath | PDF"]