[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-274413-105":59,"doc-detail-274413-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","shsat-formulas-rules-you-should-know","SHSAT Formulas-Rules You Should Know","","This document outlines essential formulas and rules for the SHSAT (Specialized High School Admissions Test), primarily focusing on Grade 8 and Grade 9 mathematics topics. It serves as a guide for students preparing for the exam, compiled from years of observational data, as the Department of Education (DOE) does not provide official lists. The document categorizes topics such as degrees in closed polygons, perimeter, circumference, various areas of 2D shapes (circles, squares, rectangles, triangles, trapezoids), the Pythagorean theorem, usage of pi, coordinate geometry (slope, representation of a line, midpoint, number line), order of operations (PEMDAS, including square root and absolute value), roots and exponents, solving simultaneous equations, rates, proportions, ratios, similarities, the cross product method, absolute value, interest, discounts, taxes, percentages, probability, distance, rate, speed, velocity, revolutions, conversions, central tendencies (min, max, range, mean, median), prime factorizations, LCM, GCF, angle interactions, lengths of sides interactions, like terms, odd and even number interactions, and interactions with arithmetic operations and exponents. It also covers conversions between number types, rounding, estimation, and scientific notation. For Grade 9, it includes factorials, permutations, combinations, polynomials, 3D shapes (cubes, cylinders, spheres, cones, pyramids, prisms), inequalities, FOIL, translations, and suggests that knowing the quadratic formula and SOHCAHTOA can be helpful, noting that many topics span both grade levels. The document encourages contact with GregsTutoringNYC@gmail.com for further assistance.",{"@graph":69,"@context":123},[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/shsat-formulas-rules-you-should-know/274413/",{"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/shsat-formulas-rules-you-should-know/274413.png","ImageObject",300,407,{"name":92,"@type":93},"Nguyễn Văn Học","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the primary purpose of this document?","Question",{"text":113,"@type":114},"This document serves as a guide to essential formulas and rules for the SHSAT (Specialized High School Admissions Test), based on observed patterns in Grade 8 and Grade 9 mathematics topics.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Does the Department of Education provide an official list of SHSAT formulas?",{"text":118,"@type":114},"No, the Department of Education (DOE) does not provide any official lists of formulas for the SHSAT. This document is compiled from years of observations.",{"name":120,"@type":111,"acceptedAnswer":121},"What are some of the key Grade 8 math topics covered in this document?",{"text":122,"@type":114},"The Grade 8 topics include degrees in closed polygons, perimeter, circumference, areas of various 2D shapes, Pythagorean theorem, coordinate geometry, order of operations (PEMDAS), solving simultaneous equations, rates, proportions, and probability.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},274413,1789476950,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":81},1374402739827,"https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660","SHSAT Formulas/rules You Should Know  \n-[Greg / GregsTutoringNYC@gmail.com](Greg / GregsTutoringNYC@gmail.com)  \nThis is mostly the Grade 8 ones that come up often:===================================================* degrees in closed polygons  \n* perimeter, circumference, various areas, 2D shapes circles, squares, rectangles, triangles, trapezoids, etc .  \n* Pythagorean  \n* using pi  \n* coordinates, slope, representation of a line, midpoint, number line * using \"PEMDAS\" (including square root, absolute value ordering)  \n* roots and exponents  \n* solving simultaneous equations  \n* rates, proportions, ratios, similarities  \n* Cross product aka \"butterfly technique\"  \n* absolute value, interest, discounts, taxes, percents, probability  \n* distance, rate, speed, velocity, revolutions  \n* conversions  \n* centralities (min, max, range, mean, median)  \n* prime factorizations, LCM, GCF  \n* angle interactions, lengths of sides interactions  \n* like terms  \n* Odd and even number interactions  \n* interactions with + and-during  \naddition/subtraction, multiplication/division,  \nexponents, roots, translations, number line  \n* Conversion from whole numbers/mixed numbers,  \nfractions/decimals/rounding/estimating/scientific notation This is mostly the Grade 9 ones that come up often:  \n===================================================* factorials, permutations, combinations  \n* polynomials  \n* 3D shapes and various volumes  \ncubes, cylinders, spheres, cones, pyramids, prisms, etc .  \n* inequalities  \n* FOIL  \n* translations  \n* knowing quadratic formula can be helpful  \n* knowing SOHCAHTOA can be helpful  \nNOTE: Many of these float across both years  \nNOTE: The DOE does not provide any such lists,  \nso this document is based on many years of observations NOTE: This is a sampling only, the DOE can add more as they wish  \n-Greg / GregsTutoringNYC@gmail.com LLAP ☮","cbCaiiTcCC3qcKey","https://ap.wps.com/l/cbCaiiTcCC3qcKey","pdf",62002,"English","# Grade 8 Formulas/Rules\n# Grade 9 Formulas/Rules","[{\"question\":\"What is the primary purpose of this document?\",\"answer\":\"This document serves as a guide to essential formulas and rules for the SHSAT (Specialized High School Admissions Test), based on observed patterns in Grade 8 and Grade 9 mathematics topics.\"},{\"question\":\"Does the Department of Education provide an official list of SHSAT formulas?\",\"answer\":\"No, the Department of Education (DOE) does not provide any official lists of formulas for the SHSAT. This document is compiled from years of observations.\"},{\"question\":\"What are some of the key Grade 8 math topics covered in this document?\",\"answer\":\"The Grade 8 topics include degrees in closed polygons, perimeter, circumference, areas of various 2D shapes, Pythagorean theorem, coordinate geometry, order of operations (PEMDAS), solving simultaneous equations, rates, proportions, and probability.\"}]","SHSAT Formulas-Rules You Should Know | PDF"]