{"id":14413,"date":"2023-01-01T20:36:43","date_gmt":"2023-01-01T20:36:43","guid":{"rendered":"http:\/\/www.kaptest.com\/blog\/prep\/?p=14413"},"modified":"2024-12-09T20:54:29","modified_gmt":"2024-12-09T20:54:29","slug":"mcat-practice-questions-math","status":"publish","type":"post","link":"https:\/\/wpapp.kaptest.com\/study\/mcat\/mcat-practice-questions-math\/","title":{"rendered":"MCAT Practice Questions: Math"},"content":{"rendered":"<p>There is no specific &#8220;Math Section&#8221; on the MCAT, but every section has the potential to ask you to perform certain calculations. While it might seem that most of the MCAT math-based questions will be in the Chemical and Physical Foundations of Biological Systems section of the test, there can be questions requiring you to perform calculations, work with statistics or manipulate experimental data in the other science sections as well. The following practice questions will help you prepare for math on the MCAT.<\/p>\n<div   class='hr hr-short hr-center   avia-builder-el-0  el_before_av_heading  avia-builder-el-first '><span class='hr-inner ' ><span class='hr-inner-style'><\/span><\/span><\/div>\n<p><div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h2    avia-builder-el-1  el_after_av_hr  el_before_av_promobox  '><h2 class='av-special-heading-tag '  itemprop=\"headline\"  >MCAT Math Practice Question 1<\/h2><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\n\t<div   class='av_promobox  avia-button-no   avia-builder-el-2  el_after_av_heading  el_before_av_toggle_container '>\t\t<div class='avia-promocontent'><p>\nWhich of the following relationships is INCORRECT?<\/p>\n<p><strong>A.<\/strong> |sin \u03b8 \u00d7 cos \u03b8| &lt; |sin \u03b8| + |cos \u03b8|<br \/>\n<strong>B.<\/strong> sin \u03b8 \u00f7 cos \u03b8 = tan \u03b8<br \/>\n<strong>C.<\/strong> tan 90\u00b0 is undefined<br \/>\n<strong>D.<\/strong> sin \u03b8 = sin (90\u00b0 \u2013 \u03b8)<\/p>\n<\/div><\/div><br \/>\n<div  class=\"togglecontainer   toggle_close_all  avia-builder-el-3  el_after_av_promobox  el_before_av_hr \" >\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\">MCAT Math Practice Question #1 Explanation<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>The correct answer is:<strong> D<\/strong><br \/>\nsin \u03b8 =\u0338 sin (90\u00b0 \u2013 \u03b8), although sin \u03b8 = cos (90\u00b0 \u2013 \u03b8). The other statements must all be true. Because sine and cosine values are always between \u20131 and 1, the product of sine and cosine will always have a magnitude less than 1. The sum of the absolute value of sine and the absolute value of cosine, on the other hand, will always be greater than 1. Therefore, choice (A) can be eliminated. Because sine is the ratio of opposite to hypotenuse and cosine is the ratio of adjacent to hypotenuse, the quotient between the two is the ratio of opposite to adjacent, or the tangent of the angle. Therefore, choice (B) can be eliminated. By the same logic, because sin 90\u00b0 = 1 and cos 90\u00b0 = 0, tan 90\u00b0 is undefined, eliminating choice (C).<\/p>\n            <\/div>        <\/div>    <\/div><\/section>\n<\/div><br \/>\n<div  style='height:5px' class='hr hr-invisible   avia-builder-el-4  el_after_av_toggle_container  el_before_av_heading '><span class='hr-inner ' ><span class='hr-inner-style'><\/span><\/span><\/div><br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h2    avia-builder-el-5  el_after_av_hr  el_before_av_promobox  '><h2 class='av-special-heading-tag '  itemprop=\"headline\"  >MCAT Math Practice Question 2<\/h2><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\n\t<div   class='av_promobox  avia-button-no   avia-builder-el-6  el_after_av_heading  el_before_av_toggle_container '>\t\t<div class='avia-promocontent'><p>\nWhich of the following outliers would most likely be the easiest to correct?<\/p>\n<p><strong>A.<\/strong> A typographical error in data transfer<br \/>\n<strong>B.<\/strong> A measurement error in instrument calibration<br \/>\n<strong>C.<\/strong> A heavily skewed distribution<br \/>\n<strong>D.<\/strong> A correctly measured anomalous result<\/p>\n<\/div><\/div><br \/>\n<div  class=\"togglecontainer   toggle_close_all  avia-builder-el-7  el_after_av_promobox  el_before_av_hr \" >\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\">MCAT Math Practice Question #2 Explanation<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>The correct answer is:<strong> A<\/strong><br \/>\nBecause the error is in data transfer, the original source of data can be consulted to allow for the inclusion of the correct data point. An error in instrument calibration may introduce bias; while this should not affect the standard deviation of a sample, it would certainly affect the mean. The instrument would have to be recalibrated, and the relevant data points would have to be measured again to correct for this type of outlier, eliminating choice (B). A skewed distribution is one that has a long tail. In this case, it may be more challenging to determine if a particular value is an outlier or simply a value in the long tail of the distribution. Repeated sampling or a large sample size is usually required to determine if a sample is truly skewed, eliminating choice (C). An anomalous result is challenging to interpret, and how to correct for the result may be unclear. In some cases, the result should be inflated or weighed more heavily to reflect its significance; in other cases, it should be interpreted as a regular value. In still other cases, it is appropriate to drop the anomalous result. This decision should ideally be made before the study even begins, but this still certainly requires more consideration than simply checking a result from one\u2019s original data set, eliminating choice (D).<\/p>\n            <\/div>        <\/div>    <\/div><\/section>\n<\/div><\/p>\n<div  style='height:5px' class='hr hr-invisible   avia-builder-el-8  el_after_av_toggle_container  el_before_av_sidebar '><span class='hr-inner ' ><span class='hr-inner-style'><\/span><\/span><\/div>\n<div  class='avia-builder-widget-area clearfix  avia-builder-el-9  el_after_av_hr  avia-builder-el-last '><div id=\"text-72\" class=\"widget clearfix widget_text\">\t\t\t<div class=\"textwidget\"><p><code><br \/>\n<span data-sumome-listbuilder-embed-id=\"412169cd3aa9977143b6f06c0fae300dfc947b95c5705249ca54c9f4a812a953\"><\/span><br \/>\n<\/code><\/p>\n<\/div>\n\t\t<\/div><div id=\"text-73\" class=\"widget clearfix widget_text\">\t\t\t<div class=\"textwidget\"><p><code><br \/>\n<span data-sumome-listbuilder-embed-id=\"69112752ce12d39d65c983f7db76907ae236d4cb30c38eaf7538c5f1d3530ae0\"><\/span><br \/>\n<\/code><\/p>\n<\/div>\n\t\t<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>There is no specific &#8220;Math Section&#8221; on the MCAT, but every section has the potential to ask you to perform certain calculations. While it might seem that most of the MCAT math-based questions will be in the Chemical and Physical Foundations of Biological Systems section of the test, there can be questions requiring you to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":45554,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[2],"tags":[],"_links":{"self":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/14413"}],"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=14413"}],"version-history":[{"count":11,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/14413\/revisions"}],"predecessor-version":[{"id":47692,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/14413\/revisions\/47692"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media\/45554"}],"wp:attachment":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media?parent=14413"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/categories?post=14413"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/tags?post=14413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}