[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-294511-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-294511-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","mathematics-knowledge-part-8-general-mathematical-problems-test-instructions","Mathematics Knowledge - Part 8 - General-mathematical problems test instructions","","Mathematics Knowledge Part 8 provides instructions for a timed assessment with 25 general-mathematical problems. The document explains how to choose the correct answers from multiple-choice options, mark responses on an answer sheet, and use scratch paper for calculations. It includes worked sample solutions (e.g., solving linear equations and finding a square’s area) and then lists problems 1–25 covering arithmetic operations, roots and powers, algebraic expressions, geometry, probability, and angle properties. 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Use scratch paper for calculations.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does the document advise about time during the test?",{"text":68,"@type":64},"Try to answer every question and do not spend too much time on any one question.",{"name":70,"@type":61,"acceptedAnswer":71},"What topics are included in Part 8 question set?",{"text":72,"@type":64},"The questions include arithmetic and percentage-style computation, powers and roots, algebraic manipulation, probability, and geometry such as area, volume, and angles.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},294511,1790151311,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":140,"language":141,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":12,"update_tm":145,"read_time":146},687207024643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","# Part 8\n\nMathematics Knowledge  \nDirections  \nThis is a test of your ability to solve 25 general-mathematical problems.You are to select the correctanswer from the choices given.Then mark the corresponding space on your answer sheet.Use thescratch paper that has been given to you to do any figuring.Try the following sample problems:  \nS1.Ifx÷2=4,then xequals(A)6(B)4(C)12→(D)8  \nTo solve for x,multiply both sides of the equation by 2.(x+2)×2=4×2equals x=8.Correctanswer:D.  \nS2.What is the area of a square that measures 3 feet on one side?→(A)9(B)6(C)12  \nD)15  \nTo find the area of any rectangle,multiply length times width.A square has sides of equal measureso length×width =3×3.The area of the square is 9 square feet.Correct answer:A.  \nYour score on this test is based on the number of questions you answer correctly.Try to answerevery question.Don't spend too much time on any one question.  \nWhen you begin,be sure to start with Question 1 in Part 8 of your test booklet and Question 1 inPart 8 on your answer sheet.  \n# Part 8\n\nMathematics Knowledge  \n1.  20+0.05=  \n(A)4.0  \n(B)40.0  \nC)400.0  \nD)0.4  \n2.  The cube of 5 is  \n√(A)125(B)25(C)15  \nD)50  \n3.2.5×3³=(A)22.5(B)75.0  \nC)67.5  \nD)675.0  \n4.  The fourth root of 16 is(A)4(B)1(C)3(D)2  \n5.  Of the students in Miss Jones'class,8 haveblonde hair,10 have brown hair,5 have redhair,6 have black hair,and 1 has purplehair.What is the probability that a studentselected at random will have brown hair?(A)Y4  \n√B)y3(C)35  \nD)Y2  \n6.12 yards plus 14 feet divided by5 equals(A)12 feet  \nB)5%s feet(C)10 feet(D)2/2 yards  \n7.x³×x⁴=  \n(A)x¹²  \n(B)2x⁷  \n(C)2x¹²  \n(D)x⁷  \n8.(x+4)(x+2)=  \n(A)x²+6x+6  \n(B)x²+8x+8  \n(C)x²+8x+6  \n(D)x²+6x+8  \n9.  1.5×10³=  \n(A)45  \n(B)150  \n(C)1,500  \n(D)15  \n10.A gorilla has b bunches of bananas.Heacquires 3 bunches from passing tourists.How many bunches of bananas does thegorilla now have?(A)b-3(B)b+3(C)b×3  \nD)3-b  \n11.A small housing development is laid out in arectangle measuring 1050 yards x 500 yards.What is the largest number of 150-yard by100-yard lots that can be obtained from thisrectangle?(A)35(B)6(C)350(D)27  \n12.Ifa=4,then a³+a=(A)4(B)12(C)64VD)16  \n13.Five runners are running a race.How manydifferent ways could the runners finish therace?(A)25(B)125  \n√(C)120  \nD)15  \n14.(900×2)÷6=(A)30  \nB)300(C)150(D)3,000  \n15.Ifx=2,thenx×x=  \nA)8(B)2x(C)4(D)6  \n16.If(5+1)(6÷3)(8-5)=(3+3)x,then x=(A)12(B)3(C)4  \nD)6  \n17.√49×√64=(A)56(B)15(C)42  \nD)3,136  \n18.Which of the following fractions is thelargest?(A)35(B)³%(C)V1o  \nD)1316  \n   \n19.If2+x≥4,what is the value of x≥?(A)6  \nB)2(C)4(D)Y  \n20.If a circle has a radius of 12 feet,what is itscircumference most nearly?(A)24 feet  \nB)72 feet(C)75 feet(D)36 feet  \n21.An aquarium measures 16 inches long by8 inches deep by 18 inches high.What is itsvolume?  \nA)2,304 cubic inches(B)128 cubic inches(C)42 cubic inches  \nD)288 cubic inches  \n22.Triangle ABC(shown above)is a(n):(A)right triangle(B)obtuse triangle(C)equilateral triangle  \nD)isosceles triangle  \n23.The sum of the measures of the angles of atrapezoid is:(A)360 degrees(B)540 degrees(C)180 degrees  \nD)720 degrees  \n24.In the Angle AB(shown above),Angles1 and 2 are:(A)supplementary  \nB)complimentary(C)both obtuse(D)both right angles  \n25.Every year,a number of students enroll in bnumber of state colleges.What is the totalnumber of students who enroll in state col-leges during a 10-year period?  \nA)10a  \n(B)%0  \n(C)(a+b)10  \n(D)%×10  \n# Part 7:Auto &Shop Information Answers\n\nThe Auto &Shop Information subtest is fairly straightforward.You either know the informa-tion,or you don't.Not knowing the info may not matter to you as long as the career you wantdoesn't require a subtest score in this area.But,if you do need to do well on this subtest,andyou've missed more than five answers,you need to review the material in Chapter 11.Youmay even want to take a class at a nearby community college or at least hang out at thegarage and help some mechanics for a couple of week","cbCaim200HF1giZC","https://ap.wps.com/l/cbCaim200HF1giZC","pdf",1060036,32,"English","# Part 8\n## Mathematics Knowledge\n## Directions\n## Sample Problems\n## Questions 1-25\n## Answer Key (Part 8)","[{\"question\":\"How should students answer the Mathematics Knowledge Part 8 problems?\",\"answer\":\"Select the correct answer from the provided choices and mark the corresponding space on the answer sheet. Use scratch paper for calculations.\"},{\"question\":\"What does the document advise about time during the test?\",\"answer\":\"Try to answer every question and do not spend too much time on any one question.\"},{\"question\":\"What topics are included in Part 8 question set?\",\"answer\":\"The questions include arithmetic and percentage-style computation, powers and roots, algebraic manipulation, probability, and geometry such as area, volume, and angles.\"}]","Mathematics Knowledge - Part 8 - General-mathematical problems test instructions | PDF",1789689786,81]