{"id":378,"date":"2016-04-08T14:55:18","date_gmt":"2016-04-08T21:55:18","guid":{"rendered":"https:\/\/magoosh.com\/praxis\/?p=378"},"modified":"2019-01-30T20:15:12","modified_gmt":"2019-01-31T04:15:12","slug":"praxis-core-math-numbers-and-quantity-practice-problems","status":"publish","type":"post","link":"https:\/\/magoosh.com\/praxis\/praxis-core-math-numbers-and-quantity-practice-problems\/","title":{"rendered":"Praxis Core Math: Numbers and Quantity Practice Problems"},"content":{"rendered":"<p>Virtually all of the Math questions in the Praxis Core deal with numbers and quantity in some way. However, there is a subset of problems in Praxis Core Math that focus primarily on numbers and quantity, with little or no focus on other more complex aspects of mathematics.<\/p>\n<p>The types of \u201cpure number\u201d questions fall into five subcategories on the Praxis Core:<\/p>\n<ul>\n<li>Understanding numerical expressions (exponential expressions, units, and measurements)<\/li>\n<li>Reading numbers from graphs and charts<\/li>\n<li>Equalities<\/li>\n<li>Basic math operations (multiplication, division, addition, subtraction)<\/li>\n<li>Basic math operations with fractions<\/li>\n<\/ul>\n<p>Of the categories above, fraction problems are the most complex and varied. The rules for operations with fractions (including rations, proportions, and rational numbers) differ depending on the operation. This why the Magoosh TOEFL Blog offers a helpful three-part guide to <a href=\"https:\/\/magoosh.com\/praxis\/fractions-on-the-praxis-core-math-test-part-one\/\">fraction<\/a> <a href=\"https:\/\/magoosh.com\/praxis\/fractions-on-the-praxis-core-mathematics-test-part-two\/\">problems<\/a> <a href=\"https:\/\/magoosh.com\/praxis\/fractions-on-the-praxis-core-mathematics-test-part-three\/\">in Core Math<\/a>.<\/p>\n<p>The other four categories of number\/quantity questions are relatively simple. In this post, we\u2019ll look at one example from each of the four non-fraction categories listed above. At the end of each post, I\u2019ll give an answer key.<\/p>\n<p>&nbsp;<\/p>\n<h2>Practice question #1: Understanding numerical expressions<\/h2>\n<p>If there are approximately 37,200,000,000,000 cells in the adult human body, how many cells total are there in the bodies of 10 adults?<\/p>\n<p style=\"padding-left: 30px\">A) 3.72 X 10^9 cells<\/p>\n<p style=\"padding-left: 30px\">B) 3.72 X 10^11 cells<\/p>\n<p style=\"padding-left: 30px\">C) 3.72 X 10^13 cells<\/p>\n<p style=\"padding-left: 30px\">D) 3.72 X 10^14 cells<\/p>\n<p style=\"padding-left: 30px\">E) 3.72 X 10^15 cells<\/p>\n<p>&nbsp;<\/p>\n<h2>Practice question #2: Reading numbers from graphs and charts<\/h2>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-379\" src=\"https:\/\/magoosh.com\/praxis\/files\/2016\/04\/pcm-naqpp_img1.jpg\" alt=\"pcm-naqpp_img1\" width=\"400\" height=\"300\" srcset=\"https:\/\/magoosh.com\/praxis\/files\/2016\/04\/pcm-naqpp_img1.jpg 400w, https:\/\/magoosh.com\/praxis\/files\/2016\/04\/pcm-naqpp_img1-300x225.jpg 300w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>An ostrich ran 28 miles in 60 minutes. The graph above indicates the total number of miles the ostrich ran at 10-minute intervals. According to the graph, approximately how many miles did the ostrich run in the last 30 minutes of its trip?<\/p>\n<p style=\"padding-left: 30px\">A) 10<\/p>\n<p style=\"padding-left: 30px\">B) 15<\/p>\n<p style=\"padding-left: 30px\">C) 17<\/p>\n<p style=\"padding-left: 30px\">D) 20<\/p>\n<p style=\"padding-left: 30px\">E) 25<\/p>\n<p>&nbsp;<\/p>\n<h2>Practice question 3: Equalities<\/h2>\n<p>In which of the following are the numbers ordered from greatest to least?<\/p>\n<p style=\"padding-left: 30px\">A) 2, 1\/4, -1\/3, -1\/2, -3<\/p>\n<p style=\"padding-left: 30px\">B) -3, 2, -1\/2, -1\/3, 1\/4<\/p>\n<p style=\"padding-left: 30px\">C) 1\/4, -1\/3, -1\/2, 2, -3<\/p>\n<p style=\"padding-left: 30px\">D) 2, -3, -1\/2, -1\/3, 1\/4<\/p>\n<p style=\"padding-left: 30px\">E) -3, -1\/2, -1\/3, 1\/4, 2<\/p>\n<p>&nbsp;<\/p>\n<h2>Practice question 4: Basic math operations<\/h2>\n<p>In the last step of a computation, Roger subtracted 100 instead of adding 10. What one number can Roger add to his final result of 6,090 so that the correct result of the computation is displayed on the calculator and he does not have to clear his calculator and start over?<\/p>\n<p style=\"padding-left: 30px\">A) 10<\/p>\n<p style=\"padding-left: 30px\">B) 80<\/p>\n<p style=\"padding-left: 30px\">C) 90<\/p>\n<p style=\"padding-left: 30px\">D) 100<\/p>\n<p style=\"padding-left: 30px\">E) 110<\/p>\n<p>&nbsp;<\/p>\n<h2>ANSWER KEY:<\/h2>\n<ol>\n<li>D<\/li>\n<li>D<\/li>\n<li>A<\/li>\n<li>E<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<h2>Notes about the answers:<\/h2>\n<p>The math operation in question 1 is extremely simple\u2014just multiply a single number by 10. The real task here is to figure out how to express 372 trillion exponentially. Again in number two, the math problem is simple. All you need to do is subtract the number of miles at the thirty-minute mark from the number of miles at the 60-minute mark.\u00a0 What you\u2019re really being tested on is your ability to extract the correct numbers from the infographic. In question 3, your job is to correctly understand inequalities between different fractions, whole numbers, positive numbers, and negative ones. Finally in question four, you need to understand a simple addition problem and correct a mistake in the final step of the problem.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Virtually all of the Math questions in the Praxis Core deal with numbers and quantity in some way. However, there is a subset of problems in Praxis Core Math that focus primarily on numbers and quantity, with little or no focus on other more complex aspects of mathematics. The types of \u201cpure number\u201d questions fall [&hellip;]<\/p>\n","protected":false},"author":80,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"footnotes":""},"categories":[2435],"tags":[],"ppma_author":[4914],"class_list":["post-378","post","type-post","status-publish","format-standard","hentry","category-praxis-math-practice"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.7 (Yoast SEO v21.7) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Praxis Core Math: Numbers and Quantity Practice Problems - Magoosh Blog \u2013 Praxis\u00ae\ufe0f Test<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/magoosh.com\/praxis\/praxis-core-math-numbers-and-quantity-practice-problems\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Praxis Core Math: Numbers and Quantity Practice Problems\" \/>\n<meta property=\"og:description\" content=\"Virtually all of the Math questions in the Praxis Core deal with numbers and quantity in some way. 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Additionally, he's helped students with TOEIC, PET, FCE, BULATS, Eiken, SAT, ACT, GRE, and GMAT. David has a BS and MA from the University of Wisconsin-Eau Claire and an MA from the University of Wisconsin-River Falls.","sameAs":["https:\/\/www.facebook.com\/MagooshEnglishLearning","https:\/\/www.linkedin.com\/in\/david-recine\/","https:\/\/www.youtube.com\/channel\/UCra3KQoJlOP7RYwaCyH2qew"],"knowsAbout":["TOEFL","IELTS","TOEIC","PET","FCE","BULATS","Eiken","SAT","ACT","GRE","GMAT"],"knowsLanguage":["English","Italian"],"jobTitle":"Content Creator","worksFor":"Magoosh","url":"https:\/\/magoosh.com\/praxis\/author\/davidr\/"}]}},"authors":[{"term_id":4914,"user_id":80,"is_guest":0,"slug":"davidr","display_name":"David Recine","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/b70c17ee6f3ef87dc4cc5dbdebda911d6dd30dfe15845e4b1d459a3e1b33ef98?s=96&d=mm&r=g","user_url":"","last_name":"Recine","first_name":"David","description":"David is a Test Prep Expert for Magoosh TOEFL and IELTS. Additionally, he's helped students with TOEIC, PET, FCE, BULATS, Eiken, SAT, ACT, GRE, and GMAT.\r\n\r\nDavid has a BS from the University of Wisconsin-Eau Claire and an MA from the University of Wisconsin-River Falls. His work at Magoosh has been cited in<a href=\"https:\/\/scholar.google.com\/scholar?hl=en&amp;as_sdt=0%2C50&amp;q=Recine+magoosh&amp;btnG=\" rel=\"noopener noreferrer\"> many scholarly articles<\/a>,<a href=\"https:\/\/minds.wisconsin.edu\/handle\/1793\/65479\" rel=\"noopener noreferrer\"> his Master's Thesis<\/a> is featured on the<a href=\"https:\/\/www.readingwithpictures.org\/2013\/09\/research-highlight-teaching-english-language-learners-with-comics\/\" rel=\"noopener noreferrer\"> Reading with Pictures<\/a> website, and he's presented at the<a href=\"https:\/\/www.witesol.com\/wp-content\/uploads\/2014\/11\/2014-WITESOL-Program-FINAL-10-28-14.pdf\" rel=\"noopener noreferrer\"> WITESOL (link to PDF)<\/a> and<a href=\"https:\/\/issuu.com\/interoff\/docs\/nafsaregionv_2014conference\" rel=\"noopener noreferrer\"> NAFSA<\/a> conferences. David has taught K-12 ESL in South Korea as well as undergraduate English and MBA-level business English at American universities. He has also trained English teachers in America, Italy, and Peru.\r\n\r\nCome join David and the Magoosh team on<a href=\"https:\/\/www.youtube.com\/channel\/UCra3KQoJlOP7RYwaCyH2qew\"> Youtube<\/a>,<a href=\"https:\/\/www.facebook.com\/MagooshEnglishLearning\"> Facebook<\/a>, and<a href=\"https:\/\/www.instagram.com\/magooshenglish\/?hl=en\"> Instagram<\/a>, or connect with him via<a href=\"https:\/\/www.linkedin.com\/in\/david-recine\/\"> LinkedIn<\/a>!"}],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/magoosh.com\/praxis\/wp-json\/wp\/v2\/posts\/378","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/magoosh.com\/praxis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/magoosh.com\/praxis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/magoosh.com\/praxis\/wp-json\/wp\/v2\/users\/80"}],"replies":[{"embeddable":true,"href":"https:\/\/magoosh.com\/praxis\/wp-json\/wp\/v2\/comments?post=378"}],"version-history":[{"count":0,"href":"https:\/\/magoosh.com\/praxis\/wp-json\/wp\/v2\/posts\/378\/revisions"}],"wp:attachment":[{"href":"https:\/\/magoosh.com\/praxis\/wp-json\/wp\/v2\/media?parent=378"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/magoosh.com\/praxis\/wp-json\/wp\/v2\/categories?post=378"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/magoosh.com\/praxis\/wp-json\/wp\/v2\/tags?post=378"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/magoosh.com\/praxis\/wp-json\/wp\/v2\/ppma_author?post=378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}