{"id":23238,"date":"2026-02-09T16:00:41","date_gmt":"2026-02-09T16:00:41","guid":{"rendered":"http:\/\/www.kaptest.com\/blog\/prep\/?p=23238"},"modified":"2026-02-09T22:01:17","modified_gmt":"2026-02-09T22:01:17","slug":"asvab-arithmetic-reasoning-and-mathematics-knowledge-practice-questions","status":"publish","type":"post","link":"https:\/\/wpapp.kaptest.com\/study\/asvab\/asvab-arithmetic-reasoning-and-mathematics-knowledge-practice-questions\/","title":{"rendered":"ASVAB Arithmetic Reasoning and Mathematics Knowledge Practice Questions"},"content":{"rendered":"<p>Think you&#8217;re ready to take the <a title=\"asvab\" href=\"https:\/\/www.kaptest.com\/asvab\/books\">ASVAB<\/a>? Try out 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-49\" class=\"widget_text widget clearfix widget_custom_html\"><div class=\"textwidget custom-html-widget\"><div><div class='op-interactive' id='63b74ba32c8f8a6d8bab5706' data-title='ASVAB Arithmetic Reasoning and Mathematics Knowledge Quiz' data-url='https:\/\/kaplannorthamerica.outgrow.us\/63b74ba32c8f8a6d8bab5706?vHeight=1' data-width='100%'><\/div><script src='\/\/dyv6f9ner1ir9.cloudfront.net\/assets\/js\/nloader.js'><\/script><script>initIframe('63b74ba32c8f8a6d8bab5706');<\/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 least common multiple of 7, 9, and 21?<br \/>\nA.\u00a021<br \/>\nB.\u00a063<br \/>\nC.\u00a0147<br \/>\nD.\u00a0189<\/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>B:\u00a0<\/b>To find the least common multiple, you should identify the prime factors of each number. The prime factor of 7 is 7, since it is a prime number. The prime factors of 9 are 3 and 3. The prime factors of 21 are 7 and 3. Therefore the LCM must have two factors of 3 and one factor of 7; 3 \u00d7 3 \u00d7 7 = 63. To check your work, you can confirm that 7, 9 and 21 all divide evenly into 63.<\/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 \/>\nA $200 watch is on sale for $160. What is the percent change in the price of the watch?<br \/>\nA.\u00a025% decrease<br \/>\nB.\u00a020% decrease<br \/>\nC.\u00a020% increase<br \/>\nD.\u00a025% increase<\/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>B:\u00a0<\/b>Since the price of the watch has gone down, the percent change must represent a decrease. Using the formula for percent change, divide the actual change by the original amount. Since the watch was originally $200 and during the sale it is\u00a0$160, the watch decreased in price by $40. Divide $40 by the original amount of $200 to get 0.2, or 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 \/>\nFor all positive values of x &lt; 50, how many values are divisible by both 3 and 5?<br \/>\nA. 0<br \/>\nB. 1<br \/>\nC. 2<br \/>\nD. 3<\/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>D:\u00a0<\/b>Any number divisible by both 3 and 5 must be divisible by 3 \u00d7 5, since 3 and 5 are both prime numbers. That\u2019s 15, which is the smallest number. Add another 15 to 15 to find the next number, 30. Then add another 15, which equals 45. The next number would be 60, but that\u2019s above the range of values indicated in the question. So there are 3 possible values: 15, 30, and 45.<\/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 \/>\nIf the straight line in the graph were extended to a point where y = 100, what would be the value of x at that point?<br \/>\n<img loading=\"lazy\" class=\"alignnone  wp-image-49231\" src=\"https:\/\/wpapp.kaptest.com\/study\/wp-content\/uploads\/gPXDSKx5ThuxvGqs2wYP_ASVAB_Arithmetic___Question_4.png\" alt=\"If the straight line in the graph were extended to a point where y = 100, what would be the value of x at that point?\" width=\"520\" height=\"302\" \/><br \/>\nA.\u00a0100<br \/>\nB.\u00a0102<br \/>\nC.\u00a0200<br \/>\nD.\u00a0202<\/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>D:\u00a0<\/b>The graph shows a portion of a straight line and asks what would be the value of the x-coordinate if the line were extended so that y = 100. In order to answer this question, you will first need to determine the equation for the line shown on the graph in the standard y = mx + b form. Two good reference points that the line passes through are (2, 0) and (0, \u22121). The slope, m, is (0 &#8211; (-1)) \/ (2-0) = 1\/2.\u00a0Since b is the y-intercept, the second point (or the graph itself) shows that b = \u22121. So the line is defined by the equation y = (1\/2)x \u2212 1. Substitute 100 for y: 100 = (1\/2)x\u00a0\u2212\u00a01. Multiply both sides by 2: 200 = x \u2212 2, so x = 202<\/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 \/>\nWhich of the following equations describes a straight line on a standard coordinate plane?<br \/>\nA.\u00a0x = 3<br \/>\nB.\u00a0y = 1\/x<br \/>\nC.\u00a0z = 2x + y<br \/>\nD.\u00a0y = x^2 + 3<\/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>A:\u00a0<\/b>The question asks you to determine which of the answer choices can be plotted as a straight line on the coordinate plane. Since x = 3 does not include y in the equation, you might be tempted to eliminate this answer. However, because y does not appear in the equation, x = 3 for all values of y. Thus, this equation represents a straight, vertical line crossing the x-axis at 3. You can verify that y = 1\/x is not a straight line by picking 3 numbers for x such as 1, 2, and 3. The corresponding y values are 1, 1\/2 , and 1\/3 . Since y decreases by different amounts for the same increase in x, this is not a straight line. Eliminate choice (B). Choice (C) can be eliminated because it contains three variables; the coordinate plane has only two. (This equation might describe a straight line in three dimensions.) Choice (D) has the term x^2, so it is not a linear equation and therefore would not be graphed with a straight line.<\/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  avia-builder-el-last '>\t\t<div class='avia-promocontent'><p>\nWant more practice like this? Check out Kaplan&#8217;s ASVAB Total Prep Book!<\/p>\n<\/div><div  class='avia-button-wrap avia-button-right ' ><a href='https:\/\/www.amazon.com\/ASVAB-Total-Prep-2025-2026-Kaplan\/dp\/150629720X?crid=37TVIAKCBKVLZ&amp;dib=eyJ2IjoiMSJ9.jGI7BoCiebg-zubp7JWt4Y150_Rq5T_2Ce2URvMJlImYbMc2tBi_5nQqSGmSZxpUblztrYCMTLuS6RLU2eqP_LEZOCh9YWsEQFhcoNDmmYypIxaBfceDGSl708OTCcr5I37m-a6y87ED-PuZPidl7WsKjQC00y-jAOqIIN-vhSnvDnyTNTmkVfnaOAIZWcq0pqFyjspu5OtoB9qJvx1gRqlJF3yIAcMZoOU4YbACNdU.2HPpqWa_feymFVZXkOjDkk0cde8emtu4bOpPWxkAMu8&amp;dib_tag=se&amp;keywords=kaplan+asvab+prep+plus+2025-2026&amp;qid=1769193894&amp;sprefix=Kaplan+ASVAB%2Caps%2C239&amp;sr=8-2&amp;linkCode=ll2&amp;tag=kaptest-asvab-product-page-20&amp;linkId=ef8d500350fbfb7c8781631e5eb2bdec&amp;language=en_US&amp;ref_=as_li_ss_tl '  class='avia-button  avia-color-theme-color   avia-icon_select-no avia-size-large avia-position-right '   ><span class='avia_iconbox_title' >ASVAB Total Prep Book<\/span><\/a><\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Think you&#8217;re ready to take the ASVAB? Try out some practice questions!<\/p>\n","protected":false},"author":1,"featured_media":49230,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[302],"tags":[303],"_links":{"self":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/23238"}],"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=23238"}],"version-history":[{"count":7,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/23238\/revisions"}],"predecessor-version":[{"id":49233,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/23238\/revisions\/49233"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media\/49230"}],"wp:attachment":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media?parent=23238"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/categories?post=23238"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/tags?post=23238"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}