[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-144069-105":59,"doc-detail-144069-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","westminister-grant-questions","Westminister grant savollari","","This document contains a series of mathematical problems, indicated by numbers 1 through 10, each posing a distinct challenge. The problems cover a variety of mathematical concepts, including algebra, trigonometry, geometry, calculus, number theory, combinatorics, and sequences and series. For instance, problem 1 involves a logarithmic equation, while problem 2 presents a geometric scenario requiring the calculation of an angle. Problem 3 delves into properties of circles and squares, asking for perimeters based on the circumference of a circle. Trigonometric equations are featured in problem 4, and problem 5 is a word problem that requires setting up an algebraic equation to determine earnings from different jobs. Calculus is introduced in problem 6, which asks for conditions under which two functions exhibit opposite trends (increasing vs. decreasing). Problem 7 explores integer solutions to a specific Diophantine equation. Inequality solving, specifically with radicals, is the focus of problem 8. Problem 9 presents two combinatorics questions: one involving the arrangement of books and another related to creating license plates. Finally, problem 10 concerns arithmetic and geometric progressions, requiring the calculation of the sum of an arithmetic series based on given terms. These problems collectively assess a broad range of mathematical knowledge and problem-solving skills, suitable for exam preparation or advanced mathematical study.",{"@graph":69,"@context":122},[70,84,105],{"@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/westminister-grant-questions/144069/",{"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/westminister-grant-questions/144069.png","ImageObject",300,407,{"name":92,"@type":93},"Evangeline","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What mathematical concepts are covered in this document?","Question",{"text":112,"@type":113},"The document covers a wide array of mathematical topics including algebra, trigonometry, geometry, calculus, number theory, combinatorics, and sequences and series. These are presented through various problem-solving scenarios.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the geometry problem (Problem 3) structured?",{"text":117,"@type":113},"Problem 3 involves a circle with a circumference of 6π. It requires finding the perimeters of both an inscribed and a circumscribed square relative to this circle.",{"name":119,"@type":110,"acceptedAnswer":120},"What type of financial problem is presented in Problem 5?",{"text":121,"@type":113},"Problem 5 is a word problem that requires setting up and solving a linear equation to determine John's earnings from his three jobs (Teaching, House painting, Sales) based on the total earnings and the relationships between them.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},144069,1787698155,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":39},13056703019662,"https://ap-avatar.wpscdn.com/avatar/be000253a8e92610077?_k=1778726343310543188","1. Log4 (2x+48)+1=x A  \n2.  \nC  \nC = 50 degrees A=? 3.  \nThe circumference of the circle is 6π . If the small square is an inscribed square and the big square is a circumscribed one, find the perimeters of both squares  \n4. 3 (2sinx)^2+ 3(2cosx)^2 =30  \n5. John has three jobs to make the ends meet: Teaching, House painting, Sales. He makes $48000 from all his jobs. He makes $6000 more from teaching than he does from house painting. He earns one-seventh of the money he gets from these two jobs from sales. Make an equation and find out how much he earns from each job.  \n6. The functions f and g are given F(x)= 3x2+12x+4 , g(x)= x3+6x2+9x-8  \nWhat is the complete set of values of x for which one of the functions is increasing and the other decreasing?  \n7. If x, y are integers and x>y>0, how many solutions are there to this problem? Provide with the solutions.  \nX3-y3= 7x-7y  \n8. Solve the inequality 4√10+x- √2-x >0  \n9. A) There are 5 mathematics books, 4 art books and 3 music books. How many arrangements are possible if the books have to come in the order Mathematics-Art-Music.  \nb) The plate of the car has 2 letters followed by a 4-digit number. If the numbers and letters can be repeated, how many of this can you make? You can use all the 10 numbers  \n10. p, q and p 2 are the first, second and third terms of an arithmetic progression. Meanwhile p, p2 and q are the first, second and third terms of a geometric progression. Find the sum of 10 terms of the arithmetic progression.","cbCaicIy0AKPRfqI","https://ap.wps.com/l/cbCaicIy0AKPRfqI","pdf",352588,"English","# Problem 1: Logarithmic Equation\n# Problem 2: Angle Calculation\n# Problem 3: Circle and Square Geometry\n# Problem 4: Trigonometric Equation\n# Problem 5: Linear Equation Word Problem\n# Problem 6: Function Analysis (Increasing/Decreasing)\n# Problem 7: Diophantine Equation\n# Problem 8: Radical Inequality\n# Problem 9: Combinatorics (Arrangements and Permutations)\n# Problem 10: Arithmetic and Geometric Progressions","[{\"question\":\"What mathematical concepts are covered in this document?\",\"answer\":\"The document covers a wide array of mathematical topics including algebra, trigonometry, geometry, calculus, number theory, combinatorics, and sequences and series. These are presented through various problem-solving scenarios.\"},{\"question\":\"How is the geometry problem (Problem 3) structured?\",\"answer\":\"Problem 3 involves a circle with a circumference of 6π. It requires finding the perimeters of both an inscribed and a circumscribed square relative to this circle.\"},{\"question\":\"What type of financial problem is presented in Problem 5?\",\"answer\":\"Problem 5 is a word problem that requires setting up and solving a linear equation to determine John's earnings from his three jobs (Teaching, House painting, Sales) based on the total earnings and the relationships between them.\"}]","Westminister grant savollari | PDF"]