{"id":22744,"date":"2023-01-03T11:04:05","date_gmt":"2023-01-03T11:04:05","guid":{"rendered":"http:\/\/www.kaptest.com\/blog\/prep\/?p=22744"},"modified":"2023-01-03T18:29:53","modified_gmt":"2023-01-03T18:29:53","slug":"praxis-mathematics-practice-questions","status":"publish","type":"post","link":"https:\/\/wpapp.kaptest.com\/study\/praxis\/praxis-mathematics-practice-questions\/","title":{"rendered":"Praxis Mathematics Practice Questions"},"content":{"rendered":"<p>Prepping for <a href=\"https:\/\/www.kaptest.com\/study\/praxis\/whats-tested-on-the-praxis-mathematics-test\/\">the Praxis Mathematics exam<\/a>? Test your knowledge with some practice questions.<br \/>\n<span style=\"font-weight: 400;\"><div  class='avia-builder-widget-area clearfix  avia-builder-el-0  el_before_av_promobox  avia-builder-el-first '><div id=\"custom_html-44\" class=\"widget_text widget clearfix widget_custom_html\"><div class=\"textwidget custom-html-widget\"><div><div class='op-interactive' id='63b470a43a35596e03aa7957' data-title='Praxis Mathematics Quiz' data-url='https:\/\/kaplannorthamerica.outgrow.us\/63b470a43a35596e03aa7957?vHeight=1' data-width='100%'><\/div><script src='\/\/dyv6f9ner1ir9.cloudfront.net\/assets\/js\/nloader.js'><\/script><script>initIframe('63b470a43a35596e03aa7957');<\/script><\/div><\/div><\/div><\/div><\/span><br \/>\n\t<div   class='av_promobox  avia-button-no   avia-builder-el-1  el_after_av_sidebar  el_before_av_toggle_container '>\t\t<div class='avia-promocontent'><p>\n<strong>Question 1<\/strong><br \/>\nWhat is the maximum number of points of intersection between a rectangle and a circle if both lie on a plane?<br \/>\nA. 1<br \/>\nB. 2<br \/>\nC. 4<br \/>\nD. 6<br \/>\nE. 8<\/p>\n<\/div><\/div><br \/>\n<div  class=\"togglecontainer   toggle_close_all  avia-builder-el-2  el_after_av_promobox  el_before_av_promobox \" >\n<section class=\"av_toggle_section\"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\"  >    <div role=\"tablist\" class=\"single_toggle\" data-tags=\"{All} \"  >        <p data-fake-id=\"#toggle-id-1\" class=\"toggler \"  itemprop=\"headline\"    role=\"tab\" tabindex=\"0\" aria-controls=\"toggle-id-1\">Answer 1<span class=\"toggle_icon\" >        <span class=\"vert_icon\"><\/span><span class=\"hor_icon\"><\/span><\/span><\/p>        <div id=\"toggle-id-1\" class=\"toggle_wrap \"  >            <div class=\"toggle_content invers-color \"  itemprop=\"text\"   ><p><b>E:<\/b>&nbsp;This question requires that you consider the different ways in which a rectangle and a circle lying on a plane could overlap and determine the maximum number of points of intersection. It might be helpful to sketch various possibilities. If the rectangle is placed so that one side is tangent to the circle, there will be one point of intersection. However, if the rectangle is placed so that each of the four corners overlaps the&nbsp;circumference of the circle, there will be eight points of intersection. It is impossible to sketch a scenario in which the figures share more than eight points of intersection, so choice (E) is correct.<\/p>\n            <\/div>        <\/div>    <\/div><\/section>\n<\/div><br \/>\n\t<div   class='av_promobox  avia-button-no   avia-builder-el-3  el_after_av_toggle_container  el_before_av_toggle_container '>\t\t<div class='avia-promocontent'><p>\n<strong>Question 2<\/strong><br \/>\nWhat is the average (arithmetic mean) of 3\/5 and 9\/2?<br \/>\nA.&nbsp;51\/10<br \/>\nB.&nbsp;45\/10<br \/>\nC.&nbsp;51\/20<br \/>\nD.&nbsp;45\/20<br \/>\nE.&nbsp;45\/40<\/p>\n<\/div><\/div><br \/>\n<div  class=\"togglecontainer   toggle_close_all  avia-builder-el-4  el_after_av_promobox  el_before_av_promobox \" >\n<section class=\"av_toggle_section\"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\"  >    <div role=\"tablist\" class=\"single_toggle\" data-tags=\"{All} \"  >        <p data-fake-id=\"#toggle-id-2\" class=\"toggler \"  itemprop=\"headline\"    role=\"tab\" tabindex=\"0\" aria-controls=\"toggle-id-2\">Answer 2<span class=\"toggle_icon\" >        <span class=\"vert_icon\"><\/span><span class=\"hor_icon\"><\/span><\/span><\/p>        <div id=\"toggle-id-2\" class=\"toggle_wrap \"  >            <div class=\"toggle_content invers-color \"  itemprop=\"text\"   ><p><b>C:&nbsp;<\/b>To find the average (arithmetic mean) of a set of values, divide the sum of the values by the number of values in the set. In this case, a common denominator must be found before 3\/5 and 9\/2 can be added; the lowest common denominator is 10: 3\/5 = 6\/10 = and 9\/2 = 45\/10<br \/>\nThe sum is (6\/10) + (45\/10) = (51\/10)<br \/>\nThe average is (51\/10\/2) = (51\/10) x (1\/2) = 51\/20<\/p>\n            <\/div>        <\/div>    <\/div><\/section>\n<\/div><br \/>\n\t<div   class='av_promobox  avia-button-no   avia-builder-el-5  el_after_av_toggle_container  el_before_av_toggle_container '>\t\t<div class='avia-promocontent'><p>\n<strong>Question 3<\/strong><br \/>\nWhich of the following, when divided into 137, leaves a remainder of 5 ?<br \/>\nA. 12<br \/>\nB. 10<br \/>\nC. 9<br \/>\nD. 8<br \/>\nE. 4<\/p>\n<\/div><\/div><br \/>\n<div  class=\"togglecontainer   toggle_close_all  avia-builder-el-6  el_after_av_promobox  el_before_av_promobox \" >\n<section class=\"av_toggle_section\"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\"  >    <div role=\"tablist\" class=\"single_toggle\" data-tags=\"{All} \"  >        <p data-fake-id=\"#toggle-id-3\" class=\"toggler \"  itemprop=\"headline\"    role=\"tab\" tabindex=\"0\" aria-controls=\"toggle-id-3\">Answer 3<span class=\"toggle_icon\" >        <span class=\"vert_icon\"><\/span><span class=\"hor_icon\"><\/span><\/span><\/p>        <div id=\"toggle-id-3\" class=\"toggle_wrap \"  >            <div class=\"toggle_content invers-color \"  itemprop=\"text\"   ><p><b>A:&nbsp;<\/b>If a number leaves a remainder of 5 when divided into 137, then two things must be true: the number must be greater than 5, and the number must divide evenly into (137 \u2212 5), or 132. Only (A), 12, is greater than 5 and divides evenly into 132.<\/p>\n            <\/div>        <\/div>    <\/div><\/section>\n<\/div><br \/>\n\t<div   class='av_promobox  avia-button-no   avia-builder-el-7  el_after_av_toggle_container  el_before_av_toggle_container '>\t\t<div class='avia-promocontent'><p>\n<strong>Question 4<\/strong><br \/>\nNine temperature readings are taken, one reading every four hours, with the first reading taken at noon. When will the final reading be taken?<br \/>\nA. midnight<br \/>\nB. 8:00 AM<br \/>\nC. noon<br \/>\nD. 4:00 PM<br \/>\nE. 8:00 PM<\/p>\n<\/div><\/div><br \/>\n<div  class=\"togglecontainer   toggle_close_all  avia-builder-el-8  el_after_av_promobox  el_before_av_promobox \" >\n<section class=\"av_toggle_section\"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\"  >    <div role=\"tablist\" class=\"single_toggle\" data-tags=\"{All} \"  >        <p data-fake-id=\"#toggle-id-4\" class=\"toggler \"  itemprop=\"headline\"    role=\"tab\" tabindex=\"0\" aria-controls=\"toggle-id-4\">Answer 4<span class=\"toggle_icon\" >        <span class=\"vert_icon\"><\/span><span class=\"hor_icon\"><\/span><\/span><\/p>        <div id=\"toggle-id-4\" class=\"toggle_wrap \"  >            <div class=\"toggle_content invers-color \"  itemprop=\"text\"   ><p><b>E:&nbsp;<\/b>The easiest way to solve this problem is to count in increments of four hours until the ninth reading, starting at 12:00 PM: 12:00 PM, 4:00 PM, 8:00 PM, 12:00 AM, 4:00 AM, 8:00 AM, 12:00 PM, 4:00 PM, 8:00 PM. Thus, the ninth reading will be taken at 8:00 PM. Choice (E) is correct.<\/p>\n            <\/div>        <\/div>    <\/div><\/section>\n<\/div><br \/>\n\t<div   class='av_promobox  avia-button-no   avia-builder-el-9  el_after_av_toggle_container  el_before_av_toggle_container '>\t\t<div class='avia-promocontent'><p>\n<strong>Question 5<\/strong><br \/>\nUse the following graph to answer the question.<br \/>\n<a href=\"http:\/\/www.kaptest.com\/blog\/prep\/wp-content\/uploads\/sites\/21\/2019\/01\/Screen-Shot-2019-01-09-at-11.06.15-PM.png\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-22747\" src=\"http:\/\/www.kaptest.com\/blog\/prep\/wp-content\/uploads\/sites\/21\/2019\/01\/Screen-Shot-2019-01-09-at-11.06.15-PM.png\" alt=\"praxis math\" width=\"284\" height=\"205\"><\/a><br \/>\nHow many barrels of industrial solvent were sold in June and July of 2009 combined?<br \/>\nA. 16<br \/>\nB. 19<br \/>\nC. 23<br \/>\nD. 25<br \/>\nE. 28<\/p>\n<\/div><\/div><br \/>\n<div  class=\"togglecontainer   toggle_close_all  avia-builder-el-10  el_after_av_promobox  el_before_av_promobox \" >\n<section class=\"av_toggle_section\"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\"  >    <div role=\"tablist\" class=\"single_toggle\" data-tags=\"{All} \"  >        <p data-fake-id=\"#toggle-id-5\" class=\"toggler \"  itemprop=\"headline\"    role=\"tab\" tabindex=\"0\" aria-controls=\"toggle-id-5\">Answer 5<span class=\"toggle_icon\" >        <span class=\"vert_icon\"><\/span><span class=\"hor_icon\"><\/span><\/span><\/p>        <div id=\"toggle-id-5\" class=\"toggle_wrap \"  >            <div class=\"toggle_content invers-color \"  itemprop=\"text\"   ><p><b>C:&nbsp;<\/b>Locate on the graph the number of barrels of solvent sold in June 2009, 12, and then locate the number of barrels sold in July 2009, 11. The combined number of barrels sold is 12 + 11 = 23 barrels. Choice (C) is correct.<\/p>\n            <\/div>        <\/div>    <\/div><\/section>\n<\/div><br \/>\n\t<div   class='av_promobox  avia-button-yes   avia-builder-el-11  el_after_av_toggle_container  el_before_av_one_fourth '>\t\t<div class='avia-promocontent'><\/p>\n<p class=\"p1\"><strong>Looking for&nbsp;more prep? Kaplan has the Praxis&nbsp;Test Prep &amp; Practice Resources for you.<\/strong><\/p>\n<p class=\"p1\">\n<\/div><div  class='avia-button-wrap avia-button-right ' ><a href='https:\/\/www.kaptest.com\/praxis' class='avia-button  avia-color-theme-color   avia-icon_select-no avia-size-medium avia-position-right ' target=\"_blank\" rel=\"noopener noreferrer\"><span class='avia_iconbox_title' >KEEP STUDYING<\/span><\/a><\/div><\/div><\/p>\n<div class=\"flex_column av_one_fourth  flex_column_div first  avia-builder-el-12  el_after_av_promobox  el_before_av_one_fourth  \" ><ul>\n<li><a href=\"kaptest.com\/study\/praxis\/praxis-mathematics-practice-questions\/\">Praxis Mathematics Practice Questions<\/a><\/li>\n<li><a href=\"kaptest.com\/praxis\/praxis-reading-practice-questions\/\">Praxis Reading Practice Questions<\/a><\/li>\n<\/ul><\/div><br \/>\n<div class=\"flex_column av_one_fourth  flex_column_div   avia-builder-el-13  el_after_av_one_fourth  el_before_av_one_fourth  \" ><ul>\n<li><a href=\"kaptest.com\/study\/praxis\/praxis-elementary-education-content-knowledge-practice-questions\/\">Praxis Elementary Education Practice Questions<\/a><\/li>\n<li><a href=\"kaptest.com\/study\/praxis\/praxis-elementary-education-curriculum-instruction-and-assessment-practice-questions\/\">Praxis Elementary Education Curriculum Instruction and Assessment<\/a><\/li>\n<\/ul><\/div><br \/>\n<div class=\"flex_column av_one_fourth  flex_column_div   avia-builder-el-14  el_after_av_one_fourth  el_before_av_one_fourth  \" ><ul>\n<li><a href=\"kaptest.com\/study\/praxis\/praxis-plt-k-6-practice-questions\/\">Praxis PLT Grades K-6 Practice Questions<\/a><\/li>\n<li><a href=\"kaptest.com\/study\/praxis\/praxis-plt-grades-5-9-practice-questions\/\">Praxis PLT Grades 5-9 Practice Questions<\/a><\/li>\n<\/ul><\/div><br \/>\n<div class=\"flex_column av_one_fourth  flex_column_div   avia-builder-el-15  el_after_av_one_fourth  avia-builder-el-last  \" ><ul>\n<li><a href=\"kaptest.com\/study\/praxis\/praxis-plt-grades-7-12-practice-questions\/\">Praxis PLT Grades 7-12 Practice Questions<\/a><\/li>\n<li><a href=\"kaptest.com\/study\/praxis\/praxis-writing-practice-questions\/\">Praxis Writing Practice Questions<\/a><\/li>\n<\/ul><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Prepping for the Praxis Mathematics exam? Test your knowledge with some practice questions.<\/p>\n","protected":false},"author":1,"featured_media":31257,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[295],"tags":[294,296,297],"_links":{"self":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/22744"}],"collection":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/comments?post=22744"}],"version-history":[{"count":4,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/22744\/revisions"}],"predecessor-version":[{"id":42185,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/22744\/revisions\/42185"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media\/31257"}],"wp:attachment":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media?parent=22744"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/categories?post=22744"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/tags?post=22744"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}