[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-432713-105":59,"doc-detail-432713-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","mathematics-free-half-length-practice-test-fpt8","Mathematics - Free Half-Length Practice Test - FPT8","","Mathematics practice test for the HiSET® assessment, focusing on foundational measurement, geometry, algebra, probability, coordinate transformations, and data interpretation. The document provides a formula sheet covering perimeter and area for common shapes, volume for solids, unit conversions for length, capacity, and weight, along with test directions, time limits, and multiple-choice questions. It is designed to evaluate readiness for HiSET subtests through timed problem-solving and answer-sheet marking.",{"@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/mathematics-free-half-length-practice-test-fpt8/432713/",{"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/mathematics-free-half-length-practice-test-fpt8/432713.png","ImageObject",300,407,{"name":92,"@type":93},"Cipher","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How long is the Mathematics FPT8 half-length practice test and how many questions are included?","Question",{"text":112,"@type":113},"The directions specify 45 minutes and 25 questions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What formula information is provided in the Formula Sheet for geometry?",{"text":117,"@type":113},"It includes perimeter and circumference, area for shapes like rectangles, circles, triangles, parallelograms, and trapezoids, and volume formulas for prisms/cylinders, pyramids/cones, and spheres.",{"name":119,"@type":110,"acceptedAnswer":120},"What should you do when answering questions on this practice test?",{"text":121,"@type":113},"Mark one choice per question on the answer sheet, erase completely if changing an answer, and ensure the question number matches the row being marked.","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},432713,1791129066,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":56,"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":143,"read_time":144},687208528416,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Mathematics  \n Free Half-Length Practice Test  – FPT8  \nLanguage  \nEnglish  \nReleased  \n2024  \n[hiset.org](hiset.org)  \n▪ Get the HiSET® testing experience.  \n▪ Answer questions developed by the test maker.  \n▪ Find out if you’re ready for the actual subtest.  \nCopyright © 2025 PSI Services LLC. All rights reserved. PSI, the PSI logo and HISET are registered trademarks of PSI Services LLC.  \nFormula Sheet  \nPerimeter / circumference  \nRectangle  \nPerimeter = 2(length) + 2(width)  \nCircle  \nCircumference = 2􀟨(radius)  \nArea  \nCircle  \nArea = 􀟨(radius)2  \nTriangle  \nArea = 12 (base)(height)  \nParallelogram  \nArea = (base)(height)  \nTrapezoid  \nArea = 12 (base 1 + base2)(height)  \nVolume  \nPrism/Cylinder  \nVolume = (area of the base)(height)  \nPyramid/Cone  \nVolume = 13 (area of the base)(height)  \nSphere  \nVolume = 43 􀟨(radius)3  \nLength  \n1 foot = 12 inches  \n1 yard = 3 feet  \n1 mile = 5,280 feet  \n1 meter = 1,000 millimeters  \n1 meter = 100 centimeters  \n1 kilometer = 1,000 meters  \n1 mile ≈ 1.6 kilometers  \n1 inch = 2.54 centimeters  \n1 foot ≈ 0.3 meter  \nCapacity / Volume  \n1 cup = 8 fluid ounces  \n1 pint = 2 cups  \n1 quart = 2 pints  \n1 gallon = 4 quarts  \n1 liter = 1,000 milliliters  \n1 liter ≈ 0.265 gallon  \nWeight  \n1 pound = 16 ounces  \n1 ton = 2,000 pounds  \n1 gram = 1,000 milligrams  \n1 kilogram = 1,000 grams  \n1 kilogram ≈ 2.2 pounds  \n1 ounce ≈ 28.3 grams  \nMathematics  \nDirections  \n\n| Time – 45 minutes | 25 Questions |\n| --- | --- |\n\nThis is a test of your skills in applying mathematical concepts and solving mathematical problems. Read each question carefully and decide which of the five options best answers the question. Then mark your choice on your answer sheet.  \nThere are relatively easy problems scattered throughout the test. Thus, do not waste time on problems that are too difficult; go on, and return to them if you have time.  \nWork as quickly as you can without becoming careless. Try to answer every question even if you have to guess.  \nMark all your answers on the answer sheet. Give only one answer to each question.  \nIf you decide to change one of your answers, be sure to erase the first mark completely.  \nBe sure that the number of the question you are answering matches the number of the row of answer choices you are marking on your answer sheet. The answer sheet may contain more rows than you need.  \n1   Which of these is an irrational number?  \nA. √16/25  \nB. √17  \nC. √64  \nD. √169  \nE. √196  \n2   Which of the following expressions is equivalent to 3√343􀝔9􀝕 7  ?  \n7  \nA. 7􀝔3􀝕 3  \nB. 7􀝔3􀝕 2  \nC. 7􀝔6􀝕 4  \nD. 7√7􀝔 6􀝕 4    7  \nE. 7√7􀝔3􀝕 3  \n3    \nWhat is the scientific notation of the number 5,700,000,000?  \nA. 5.7 × 108  \nB. 5.7 × 109  \nC. 57 × 1010  \nD. 0.57 × 109  \nE. 0.57 × 1010  \n4    \nOliver measures his sister’s height as 57.3 inches using a measuring tape, marked with 5 divisions per inch. Given the level of accuracy of the measuring tape, which of the following could be Oliver’s sister’s actual height?  \nA. 57.03 in.  \nB. 57.23 in.  \nC. 57.32 in.  \nD. 57.003 in.  \nE. 57.031 in.  \n5   Which of these numbers is closest to the value of the expression 16 + 25?  \nA.  \nB.  \nC.  \nD.  \nE.  \n2 5  \n3 7  \n3 5  \n5 8  \n2 3  \n6    \nThe coordinates of a triangle 􀜲􀜳􀜴 are 􀜲(1, 2), 􀜳(3, 3), and 􀜴(2, 4) . If triangle 􀜲􀜳􀜴 is translated 2 units to the right and 1 unit down and then reflected across the 􀝔-axis to obtain triangle 􀜺􀜻􀜼 , what are the coordinates of the vertices of triangle 􀜺􀜻􀜼?  \nA. 􀜺 (1, 3), 􀜻 (2, 5), and 􀜼(3, 4)  \nB. 􀜺 (3, 1), 􀜻 (5, 2), and 􀜼(4, 3)  \nC. 􀜺 (3, −1), 􀜻 (5, −2), and 􀜼(4, −3)  \nD. 􀜺 (−3, 1), 􀜻 (−5, 2), and 􀜼(−4, 3)  \nE. 􀜺 (−1, −3), 􀜻 (−2, −5), and 􀜼(−3, −4)  \n7   The rectangle 􀜲􀜳􀜴􀜵 is as shown:  \nWhat is the length of the diagonal 􀜲􀜴 of the rectangle?  \nA. √20 units  \nB. 52 units  \nC. 20 units  \nD. √52 units  \nE. 10 units  \n8    \nA tin container has a density of 7.2 grams per cubic centimeter and a volume of 180 cubic centimeters. What is the mass of the container in kilograms?  \nA. 0.025 ","cbCaipDyq3d5V4TL","https://ap.wps.com/l/cbCaipDyq3d5V4TL","pdf",671801,"English","# Formula Sheet\n## Perimeter/Circumference\n## Area\n## Volume\n## Length\n## Capacity/Volume\n## Weight\n# Directions\n# Practice Questions","[{\"question\":\"How long is the Mathematics FPT8 half-length practice test and how many questions are included?\",\"answer\":\"The directions specify 45 minutes and 25 questions.\"},{\"question\":\"What formula information is provided in the Formula Sheet for geometry?\",\"answer\":\"It includes perimeter and circumference, area for shapes like rectangles, circles, triangles, parallelograms, and trapezoids, and volume formulas for prisms/cylinders, pyramids/cones, and spheres.\"},{\"question\":\"What should you do when answering questions on this practice test?\",\"answer\":\"Mark one choice per question on the answer sheet, erase completely if changing an answer, and ensure the question number matches the row being marked.\"}]","Mathematics - Free Half-Length Practice Test - FPT8 | PDF",1790660944,48]