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Includes questions on polynomial roots, square-root terms, volume of a sphere using given formulas, quadrant determination from sign conditions, and counting combinations in multi-choice sandwich and sports/matric data contexts. Each item requires selecting the correct answer and marking the corresponding oval.",{"@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/act-math-1/433899/",{"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/act-math-1/433899.png","ImageObject",300,407,{"name":92,"@type":93},"vwvw","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-12","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What should students do during the ACT math test according to the directions?","Question",{"text":112,"@type":113},"Solve each problem, choose the correct answer, and fill in the corresponding oval. Do not spend too much time on any single problem; solve as many as possible and then return to others if time remains.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are calculators allowed on this test?",{"text":117,"@type":113},"Yes. Students are permitted to use a calculator, and some problems may be solved more effectively without it.",{"name":119,"@type":110,"acceptedAnswer":120},"What assumptions are made about figures and notation in the test directions?",{"text":121,"@type":113},"Illustrative figures are not necessarily to scale, geometric figures lie in a plane, “line” indicates a straight line, and “average” means arithmetic mean unless otherwise stated.","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},433899,1790910227,{"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":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"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":144,"read_time":145},3985747874149,"https://ap-avatar.wpscdn.com/avatar/3a001161165b4dc3d9e?x-image-process=image/resize,m_fixed,w_180,h_180&k=1790129441039064114","| DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer sheet.\u003Cbr>Do not linger over problems that take too much time. Solve as many as you can; then return to the others in the time you have left for this test.\u003Cbr>You are permitted to use a calculator on this test. You may use your calculator for any problems you choose, | but some of the problems may be best done without using a calculator.\u003Cbr>Note: Unless otherwise stated, all of the following should\u003Cbr>be assumed:\u003Cbr>1. Illustrative figures are NOT necessarily drawn to scale.\u003Cbr>2. Geometric figures lie in a plane.\u003Cbr>3. The word line indicates a straight line.\u003Cbr>4. The word average indicates arithmetic mean. |\n| --- | --- |\n\n1. Linda purchased 1½ pounds of potatoes on Friday and 2⅓ pounds of potatoes on Saturday. What was the total weight, in pounds, of potatoes purchased by Linda in the two-day period?  \nA. 3⅙  \nB. 3⅖  \nC. 3⅓  \nD. 3⅔  \nE. 3⅚  \n2. 2x2 · 2x3y · 3x2y is equivalent to:  \nF. 7x7y2  \nG. 7x12y2  \nH. 12x7y2  \nJ. 12x12y  \nK. 12x12y2  \n3. There are a total 12,715 seats in an arena. Of the total, 7,512 seats are currently occupied by spectators. How many seats, to the nearest percent, are currently occupied?  \nA. 12  \nB. 52  \nC. 59  \nD. 61  \nE. 75  \n4. A gardener wants to use rope to section off a rectangular plot of land to grow vegetables. The plot measures 11 feet by 15 feet. Assuming no waste and that no extra rope is required to tie the ends, what is the minimum number of feet of rope the gardener will need to section off the plot of land?  \nF. 26  \nG. 52  \nH. 104  \nJ. 139  \nK. 165  \nDO FIGURING HERE  \nGO ON TO NEXT PAGE  \n  ACT  \n5. In the first 4 of 5 consecutive days, Martha delivered 144, 152, 139, and 171 newspapers. How many newspapers did Martha deliver on the fifth day, if the average number of newspapers she delivered per day during the five-day period was 155?  \nA. 154  \nB. 162  \nC. 169  \nD. 171  \nE. Given the number of newspapers delivered by Martha on the first four days, she cannot average  \n155 per day for the five-day period.  \n6. Mr. Lee regularly spends a total $145 commuting to work by train Monday through Friday. On Wednesday of a given five-day week, however, Mr. Lee decides to commute to work by car, instead of by train. If the cost of commuting by car is $7, how much money does Mr. Lee save commuting to work that week? (Assume the regular train fare is the same each day of the week.)  \nF. $ 7  \nG. $ 12  \nH. $ 22  \nJ. $138  \nK. $143  \n7. If x is  a real number such that x3 = 125, then x2 – √5􀝔 = ?  \nDO FIGURING HERE  \nA. 0  \nB. 5  \nC. 10  \nD. 20  \nE. 25  \n8. The expression a[(b – c) + d] is equivalent to:  \nF. ab – ac + ad  \nG. ab – ac – ad  \nH. b – c + ad  \nJ. ab + ac + ad  \nK. ab + ac – ad  \nGO ON TO NEXT PAGE  \n  ACT  \n9. If 5x + 7 = 8x – 3, then x = ?  \nA. – 130  \nB. – 1103  \nC. ~~ ~~130 D. ~~ ~~1103  \nE. ~~ ~~130  \n10. If a coin is randomly chosen from a bag that contains exactly 4 pennies, 3 nickels, and 8 dimes, what is the probability that the coin will NOT be a nickel?  \nF.  \nG.  \nH.  \nJ.  \nK.  \n1  \n5  \n1  \n4  \n3  \n4  \n4  \n5  \n5  \n4  \n11. If the difference between the consecutive numbers in the sequence below is the same, which two numbers should be placed in the blanks?  \n19,   ,   , 37  \nA. 25, 31  \nB. 22, 25  \nC. 24, 32  \nD. 26, 33  \nE. 28, 36  \n12. A spherical rubber ball has a diameter of 2 ⅓ inches. If the formula for the volume of a sphere with radius r is V = 43 πr3, what is the volume of the ball to the nearest cubic inch?  \nF. 3  \nG. 7  \nH. 9  \nJ. 10  \nK. 21  \nDO FIGURING HERE  \nGO ON TO NEXT PAGE  \n  ACT  \n13. In the table below, the sums of the integers in each row, column, and diagonal are equal. Which of the following integers accurately expresses the value of x?  \nDO FIGURING HERE  \n\n| 2 | 9 | x |\n| --- | --- | --- |\n| –1 | 3 | 7 |\n| 8 | – 3 | 4 |\n\nA. 2  \nB. 1  \nC. 0  \nD. – 1  \nE. – 2  \n14. The matrix below summarizes the number of students that tried out ","cbCainQEdhxcIhHV","https://ap.wps.com/l/cbCainQEdhxcIhHV","pdf",835286,17,"English","# Instructions\n## Multiple-choice math problems\n### Key topics\n## Problem set (1-21)","[{\"question\":\"What should students do during the ACT math test according to the directions?\",\"answer\":\"Solve each problem, choose the correct answer, and fill in the corresponding oval. Do not spend too much time on any single problem; solve as many as possible and then return to others if time remains.\"},{\"question\":\"Are calculators allowed on this test?\",\"answer\":\"Yes. Students are permitted to use a calculator, and some problems may be solved more effectively without it.\"},{\"question\":\"What assumptions are made about figures and notation in the test directions?\",\"answer\":\"Illustrative figures are not necessarily to scale, geometric figures lie in a plane, “line” indicates a straight line, and “average” means arithmetic mean unless otherwise stated.\"}]","ACT - Math 1 | PDF",1790666015,43]