[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-143972-105":59,"doc-detail-143972-en":135},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":128,"head_meta":130,"extra_data":132,"updated_unix":134},105,"en","wiut-17062025-azamath-exam-practice","WIUT 17.06.2025 AzaMath - Exam practice","","WIUT 17.06.2025 AzaMath is a math assessment sheet containing 26 mixed problem types across algebra, logarithms, trigonometry, functions, inequalities, arithmetic progression, geometry, and number sets. It includes tasks on solving equations and finding unknown values, interpreting circle and trapezoid dimensions, computing shaded-area regions, and applying ratio and statistics word problems. The document concludes with inequality solving and a real-world juice-mixing ratio problem to determine required volumes for a fixed total.",{"@graph":69,"@context":127},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/wiut-17062025-azamath-exam-practice/143972/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/wiut-17062025-azamath-exam-practice/143972.png","ImageObject",300,407,{"name":92,"@type":93},"Eden","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-03","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119,123],{"name":110,"@type":111,"acceptedAnswer":112},"What topics are covered in the WIUT 17.06.2025 AzaMath questions?","Question",{"text":113,"@type":114},"The questions cover algebraic equations, logarithms, trigonometry, inequalities, arithmetic progression, geometry (circles, trapezoids, shaded areas), and ratio/statistics word problems.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Does the document include geometry problems involving circles?",{"text":118,"@type":114},"Yes. It defines circles by equations and also asks about tangency of equal circles and the diameter or radius accordingly, plus shaded-region areas.",{"name":120,"@type":111,"acceptedAnswer":121},"Are there practical word problems in addition to pure math?",{"text":122,"@type":114},"Yes. There are cable-cost function questions, speed problems, class ratio problems, average-score calculations, and a juice-mixing ratio question for a total of 25 liters.",{"name":124,"@type":111,"acceptedAnswer":125},"How many questions are listed in the provided WIUT 17.06.2025 AzaMath sheet?",{"text":126,"@type":114},"The sheet lists 26 numbered questions.","https://schema.org",{"og:url":83,"og:type":129,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":131,"canonical":83},"index,follow",{"doc_id":133,"site_id":62},143972,1787697779,{"code":4,"msg":5,"data":136},{"doc_id":133,"user_id":137,"nickname":92,"user_avatar":138,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":139,"file_id":140,"file_url":141,"file_type":142,"file_size":143,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":144,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":145,"faqs":146,"seo_title":147,"seo_description":67,"update_tm":134,"read_time":52},1374391974468,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","WIUT 17.06.2025  \nAzaMath  \n1. If 􀝖 = (􀝔􀝕)3 and 􀝖 = 􀝇 (􀝔􀝕)2 , find 􀝇 .  \n2. log6 (􀝔 + 4) + log6 (􀯫~~ ~~1) = 1  \n3. sin2 10􀝔 + sin2 8􀝔 = 1  \n4. 􀯫􀯫44 \u003C 􀯫􀯫44  \n5. (2 − 􀝔)(􀝔 + 5) ≤ 0  \n6. In arithmetic progression 􀜽 24 = 24 and 􀜽 26 = 50. Find 􀜵26.  \n7. 32−3􀯫 ∙ 73􀯫−2 = 1  \n8. The circle is defined by the equation 􀝔 2 + 􀝕 2 + 6􀝕 − 4􀝔 = 12. Find diameter of the circle.  \n9. To install the first meters of cable you need to spend $500, each subsequent meter costs $5 . Write a function of the total cable cost.  \n10. Find the height of the trapezoid 􀜣􀜤􀜥􀜦 .  \n11. 10% of 40% of a number is equal to 􀝔% of 20% of the same number. Find 􀝔 .  \n12. 􀜣􀜤􀜥􀜦 is a square with 􀜣􀜤 = 8. Find the area of the shaded region.  \n13. Ifa small dog can run 12 miles in 1.5 hours ad a mountain cat can travel twice as far in half the time, what was mountain cat ’s speed, in miles per hour?  \n14. Find 2􀜽 − 􀜾 .  \n15. If in arithmetic progression 􀜽1 + 􀜽 2 + 􀜽 3 = 3􀜽4 − 20, find 􀝀 .  \n16. 􀝂(􀝔) = 􀝔 2025 − 2025􀝔; 􀝂 (1) =?  \n17. Find the length of 􀜣􀜤 if 􀜥 is a middle point of the line.  \n18. Three equal circles are tangent to each other. Find the radius of the circle, if 􀜱􀜤 = 8.  \n19. If 􀜣{1; 3; 5; 9; 11; 15} and 􀜤 consists of odd positive integers less or equal to 13. Find 􀜣 ∩ 􀜤 .  \n20. If the straight line 􀜣􀜤 = 26 , find the length of the path which consists of 3 semicircles.  \n21. Find 􀝔 .  \n22. If the ratio of boys to girls in a class is 7: 5. Find the number of all students if there are 14 boys in the class.  \n23. If 8 out of 24 students in a math clas get a perfect score, the the class average (arithmetic mean) on this test will be 91 points out of 100. What was the average score for the remaining students?  \n24. 􀜣􀜤􀜥􀜦 is a square with 􀜣􀜤 = 2. 􀜣 and 􀜥 are the centers ofthe circles. Find the area of the shaded region.  \n25. Solve: 4􀝔2 ≥ 9  \n26. Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5: 2: 3. How much of each juice is needed to make 25 liters ofthis punch?  \nНаши социальные сети","cbCaivBf87F4KsaE","https://ap.wps.com/l/cbCaivBf87F4KsaE","pdf",307532,"English","# Question List\n## Algebra and Functions\n## Logarithms and Trigonometry\n## Inequalities and Sequences\n## Geometry and Area\n## Number, Ratios, and Statistics","[{\"question\":\"What topics are covered in the WIUT 17.06.2025 AzaMath questions?\",\"answer\":\"The questions cover algebraic equations, logarithms, trigonometry, inequalities, arithmetic progression, geometry (circles, trapezoids, shaded areas), and ratio/statistics word problems.\"},{\"question\":\"Does the document include geometry problems involving circles?\",\"answer\":\"Yes. It defines circles by equations and also asks about tangency of equal circles and the diameter or radius accordingly, plus shaded-region areas.\"},{\"question\":\"Are there practical word problems in addition to pure math?\",\"answer\":\"Yes. There are cable-cost function questions, speed problems, class ratio problems, average-score calculations, and a juice-mixing ratio question for a total of 25 liters.\"},{\"question\":\"How many questions are listed in the provided WIUT 17.06.2025 AzaMath sheet?\",\"answer\":\"The sheet lists 26 numbered questions.\"}]","WIUT 17.06.2025 AzaMath - Exam practice | PDF"]