[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-460160-105":59,"doc-detail-460160-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","spring-2019-psat-89-practice-test-math-test-no-calculator","Spring 2019 - PSAT™ 8/9 Practice Test - Math Test - No Calculator","","Spring 2019 PSAT™ 8/9 Practice Test #1 Math Test - No Calculator provides a 20-minute, 13-question section focused on algebra, linear equations, systems of equations, expressions, and geometry/measurement concepts. Students solve multiple-choice problems without using a calculator, following answer-sheet instructions for questions 1–10 and grid-entry requirements for questions 11–13. It includes real-number domain and figure-drawing notes, plus continued guidance before the next page.",{"@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/spring-2019-psat-89-practice-test-math-test-no-calculator/460160/",{"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/spring-2019-psat-89-practice-test-math-test-no-calculator/460160.png","ImageObject",300,407,{"name":92,"@type":93},"Kyle","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-27","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How long is the Math Test – No Calculator section and how many questions does it include?","Question",{"text":113,"@type":114},"It is 20 minutes long and includes 13 questions.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Can I use a calculator on this math test?",{"text":118,"@type":114},"No. The test explicitly states that the use of a calculator is not permitted.",{"name":120,"@type":111,"acceptedAnswer":121},"How do I enter answers for questions 1–10 versus questions 11–13?",{"text":122,"@type":114},"For questions 1–10, solve each problem and choose the best answer, filling in the matching circle on the answer sheet. For questions 11–13, solve the problem and enter the answer in the grid as described in the directions before question 11.","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},460160,1790791661,{"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":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146},3985741905716,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Spring 2019  \nPSAT™ 8/9  \nPractice Test \\# 1  \nMath tests  \nMake time to take the practice test.  \nIt is one of the best ways to get ready for the PSAT 8/9 .  \nAfter you have taken the practice test, score it [right away at](right away at collegeboard.org/psatpractice)[ collegeboard.org/psatpractice](right away at collegeboard.org/psatpractice).  \n5LRS01  \nTHIS PAGE IS INTENTIONALLY LEFT BLANK.  \nTest begins on the next page.  \n3  3   \nMath Test – No Calculator  \n20 MINUTES, 13 QUESTIONS  \nTurn to Section 3 of your answer sheet to answer the questions in this section.  \nFor questions 1-10, solve each problem, choose the best answer from the choices provided, and fill in the corresponding circle on your answer sheet. For questions 11-13, solve the problem and enter your answer in the grid on the answer sheet. Please refer to the directions before question 11 on how to enter your answers in the grid. You may use any available space in your test booklet for scratch work.  \n1. The use of a calculator is not permitted.  \n2. All variables and expressions used represent real numbers unless otherwise indicated.  \n3. Figures provided in this test are drawn to scale unless otherwise indicated.  \n4. All figures lie in a plane unless otherwise indicated.  \n5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for which f(x) is a real number.  \nA = pr2 A = w  \nb  \nA = ~~ ~~12 bh  \na  \nc2 = a2 + b2  \nC = 2pr  \nV = wh V = pr2h V = 43pr3  \nThe number of degrees of arc in a circle is 360 .  \nThe number of radians of arc in a circle is 2p.  \nThe sum of the measures in degrees of the angles of a triangle is 180 .  \nUnauthorized copying or reuse of any part of this page is illegal.  \n30  \n CONTINUE   \n3  3   \n1  \n3 x ~~ ~~ = ~~ ~~  \n4 60  \nIn the equation above, what is the value of x ?  \nA) 25  \nB) 30  \nC) 40  \nD) 45  \n2  \n\n| x | y |\n| --- | --- |\n| 1 | 5 |\n| 2 | 7 |\n| 3 | 9 |\n| 4 | 11 |\n\nThe table above shows some pairs of x valuesandy values. Which of the following equations could represent the relationship between x andy ?  \nA) y = 2x + 3  \nB) y = 3x − 2  \nC) y = 4x − 1  \nD) y = 5x  \n3  \nA discount airline sells a certain number of tickets, x, for a flight for $90 each. It sells the number of remaining tickets, y, for $250 each. For a particular flight, the airline sold 120 tickets and collected a total of $27,600 from the sale of those tickets. Which system of equations represents this relationship between x andy?  \nA) x +90xy+15200y = 27,600 x + y = 120  \nB) 90x + 250y = 120(27,600)  \nx + y = 27,600  \nC) 90x + 250y = 120(27,600)  \nD) 90x = 250y  \n120x + 120y = 27,600  \n4  \n2  \nx −17x −60  \nWhich of the following is equivalent to the expression above?  \nA) (x − 5)(x − 12)  \nB) (x + 5)(x − 12)  \nC) (x − 3)(x − 20)  \nD) (x + 3)(x − 20)  \nUnauthorized copying or reuse of any part of this page is illegal.  \n31  \n CONTINUE   \n3  3   \n5  \ny  \nO  \n\n|  |  |  |  | 5 |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  | 4 |  |  |  |  |  |  |\n|  |  |  |  | 3 |  |  |  |  |  |  |\n|  |  |  |  | 2 |  |  |  |  |  |  |\n|  |  |  |  | 1 |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| –5 –4 | –3 | –2 | –1 | |  | 1 | 2 | 3 4 |  | 5 |\n|  |  |  |  | –1 |  |  |  |  |  |  |\n|  |  |  |  | –2 |  |  |  |  |  |  |\n|  |  |  |  | –3 |  |  |  |  |  |  |\n|  |  |  |  | –4 |  |  |  |  |  |  |\n|  |  |  |  | –5 |  |  |  |  |  |  |\n\nx  \nWhat is the equation of the line shown in the xy-plane above?  \nA) y = 3x − 3  \nB) y = −3x + 3  \nC) y = 13 x −3  \nD) y = − ~~ ~~13 x +3  \n6  \n(−11x + 31y ) −2(−x +5y )  \nWhich of the following expressions is equivalent to the expression above?  \nA) −13x + 21y  \nB) −13x + 36y  \nC) −9x + 21y  \nD) −9x + 36y  \n7  \nThe formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity. Whic","cbCaidphoSkYXDN6","https://ap.wps.com/l/cbCaidphoSkYXDN6","pdf",4268850,26,"English","# Math Test – No Calculator\n## Section Instructions (20 minutes, 13 questions)\n## Multiple-choice Problems (1–10)\n## Grid Response Problems (11–13)","[{\"question\":\"How long is the Math Test – No Calculator section and how many questions does it include?\",\"answer\":\"It is 20 minutes long and includes 13 questions.\"},{\"question\":\"Can I use a calculator on this math test?\",\"answer\":\"No. The test explicitly states that the use of a calculator is not permitted.\"},{\"question\":\"How do I enter answers for questions 1–10 versus questions 11–13?\",\"answer\":\"For questions 1–10, solve each problem and choose the best answer, filling in the matching circle on the answer sheet. For questions 11–13, solve the problem and enter the answer in the grid as described in the directions before question 11.\"}]","Spring 2019 - PSAT™ 8/9 Practice Test - Math Test - No Calculator | PDF",1790757927,66]