{"id":7090,"date":"2019-08-22T20:54:27","date_gmt":"2019-08-23T01:54:27","guid":{"rendered":"http:\/\/grockit.com\/blog\/gre\/?p=561"},"modified":"2020-09-11T20:41:21","modified_gmt":"2020-09-11T20:41:21","slug":"gre-quantitative-6-tips-for-speed-and-accuracy","status":"publish","type":"post","link":"https:\/\/wpapp.kaptest.com\/study\/gre\/gre-quantitative-6-tips-for-speed-and-accuracy\/","title":{"rendered":"6 Tips for Speed and Accuracy on the GRE Quantitative"},"content":{"rendered":"<p>For those of you who didn&#8217;t know, the GRE does <em>not<\/em> allow a calculator. So, if you haven&#8217;t done math by hand for a while, you may have forgotten how to do many simple calculations. Here are some tips that will help you do math by hand quickly and accurately.\u00a0While these tips will help you on the entire test, you\u2019ll get the most out of them on the quantitative comparison section.<br \/>\n&nbsp;<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h4  blockquote modern-quote  avia-builder-el-0  el_before_av_heading  avia-builder-el-first  '><h4 class='av-special-heading-tag '  itemprop=\"headline\"  > 1. Cross-multiply two fractions to compare them.<\/h4><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\nThe numerator with the larger product will belong to the larger fraction:<br \/>\n<strong>Example 1<\/strong>: 4 \/ 5 \u00a0vs. \u00a08 \/ 11<br \/>\nWhich fraction is bigger? I could change both to decimals, but let\u2019s try the cross-multiply method, which is much faster.<br \/>\n(4)(11)= 44 and (8)(5)= 40<br \/>\n44 is the larger product. Since the product involved 4, which is the numerator of 4\/5, 4\/5 is the bigger fraction.<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h4  blockquote modern-quote  avia-builder-el-1  el_after_av_heading  el_before_av_heading  '><h4 class='av-special-heading-tag '  itemprop=\"headline\"  >2. Squaring a fraction or decimal between 0 and 1 will make the number smaller.<\/h4><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\n<strong>Example 2:<\/strong> (1\/3)\u00b2 = 1\/9<br \/>\nWhile this tip is very simple to prove, it\u2019s crucial that you keep it in mind during the quantitative comparison section so that you can avoid unnecessary calculation.<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h4  blockquote modern-quote  avia-builder-el-2  el_after_av_heading  el_before_av_heading  '><h4 class='av-special-heading-tag '  itemprop=\"headline\"  >3. Taking the square root of a fraction or decimal between 0 and 1 will make the number larger.<\/h4><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\n<strong>Example 3:<\/strong> \u221a(\u00bc) = \u00bd<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h4  blockquote modern-quote  avia-builder-el-3  el_after_av_heading  el_before_av_heading  '><h4 class='av-special-heading-tag '  itemprop=\"headline\"  >4. Memorize these two formulas for dealing with division:<\/h4><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\n<strong>a) <\/strong><strong>(1\/x) \/ y = 1 \/ xy <\/strong><br \/>\n<strong>b) <\/strong><strong>1 \/ (x\/y) = y \/ x <\/strong><br \/>\nStudents often fumble the calculations when presented with multiple layers of division or fractions. These simple formulas should keep you on track.<br \/>\n<strong>Example 4a<\/strong>:\u00a01\/2 \/ 3 = (\u00bd)(1\/3)=1\/6<br \/>\n<strong>Example 4b: <\/strong>1 \/ 2\/3 = 3\/2<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h4  blockquote modern-quote  avia-builder-el-4  el_after_av_heading  el_before_av_heading  '><h4 class='av-special-heading-tag '  itemprop=\"headline\"  >5. In order to find a percentage increase, find the difference between the original number and the increased (or decreased) number and divide that by the original number.<\/h4><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\n<strong>Example 5<\/strong>: A pair of pants was selling for $20 last week, but now is selling for $27 this week. By what percent did the price of the pants increase?<br \/>\n27 &#8211; 20 = 7<br \/>\n7 \/ 20 = 35 \/ 100 = 35 percent<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h4  blockquote modern-quote  avia-builder-el-5  el_after_av_heading  el_before_av_sidebar  '><h4 class='av-special-heading-tag '  itemprop=\"headline\"  >6. If you are asked to find x+y or x-y from a system of equations, you may want to try adding or subtracting the equations before solving for the variables.<\/h4><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\nThe GRE will often provide you with a simple method for solving a problem that will not be obvious. The challenge lies in finding the simplest method. Notice how the above problem was solved a lot faster by subtracting the equation than by solving for the variables.<br \/>\n<strong>Example 6<\/strong>: if 4x+2y=23 and 3x+3y=22, then x- y =<br \/>\nSet up the equations like you see below, and see if adding or subtracting will help you arrive at the answer more quickly. In this case, subtraction will do the trick.<br \/>\n4x + 2y = 23<br \/>\n&#8211;\u00a0 (3x+ 3y = 22)<br \/>\n&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;-<br \/>\nx- y = 1.<\/p>\n<p class=\"p1\"><div  class='avia-builder-widget-area clearfix  avia-builder-el-6  el_after_av_heading  avia-builder-el-last '><div id=\"text-70\" class=\"widget clearfix widget_text\">\t\t\t<div class=\"textwidget\"><p><span data-sumome-listbuilder-embed-id=\"a78fe19e226d385662749ccaadcdccd7ecdcab651c77e3b874bfcb76a80605a7\"><\/span><\/p>\n<\/div>\n\t\t<\/div><div id=\"text-71\" class=\"widget clearfix widget_text\">\t\t\t<div class=\"textwidget\"><p><span data-sumome-listbuilder-embed-id=\"185e834399a9fdd414ded52f3f51a4735f464b8c612f006f44ffba835a649b4f\"><\/span><\/p>\n<\/div>\n\t\t<\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>For those of you who didn&#8217;t know, the GRE does not allow a calculator. So, if you haven&#8217;t done math by hand for a while, you may have forgotten how to do many simple calculations. Here are some tips that will help you do math by hand quickly and accurately.\u00a0While these tips will help you [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":27071,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[68],"tags":[69],"_links":{"self":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/7090"}],"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=7090"}],"version-history":[{"count":2,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/7090\/revisions"}],"predecessor-version":[{"id":34836,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/7090\/revisions\/34836"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media\/27071"}],"wp:attachment":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media?parent=7090"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/categories?post=7090"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/tags?post=7090"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}