{"id":6239,"date":"2016-10-10T00:00:35","date_gmt":"2016-10-10T07:00:35","guid":{"rendered":"https:\/\/magoosh.com\/sat\/?p=6239"},"modified":"2018-02-09T17:56:36","modified_gmt":"2018-02-10T01:56:36","slug":"5-sat-math-tricks-every-student-should-know","status":"publish","type":"post","link":"https:\/\/magoosh.com\/sat\/5-sat-math-tricks-every-student-should-know\/","title":{"rendered":"5 SAT Math Tricks Every Student Should Know"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/magoosh.com\/sat\/files\/2016\/10\/SAT_SAT-Math-tricks.png\" alt=\"SAT Math tricks - magoosh\" width=\"1200\" height=\"500\" class=\"aligncenter size-full wp-image-14210\" srcset=\"https:\/\/magoosh.com\/sat\/files\/2016\/10\/SAT_SAT-Math-tricks.png 1200w, https:\/\/magoosh.com\/sat\/files\/2016\/10\/SAT_SAT-Math-tricks-300x125.png 300w, https:\/\/magoosh.com\/sat\/files\/2016\/10\/SAT_SAT-Math-tricks-768x320.png 768w, https:\/\/magoosh.com\/sat\/files\/2016\/10\/SAT_SAT-Math-tricks-600x250.png 600w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p>Math can be tricky. Here\u2019s your chance to turn the tables and apply these easy-to-apply tricks that will let\u00a0you rule the SAT math section as opposed to letting the SAT math section rule you. While you\u2019re at it, you should really take the time to dig through the the Magoosh High School Blog, as it is chock full of refreshers of <a href=\"https:\/\/magoosh.com\/sat\/sat-math-basics-foil-method-3\/\" target=\"_blank\" rel=\"noopener noreferrer\">foundational<\/a> <a href=\"https:\/\/magoosh.com\/sat\/important-sat-math-formulas-facts\/\" target=\"_blank\" rel=\"noopener noreferrer\">concepts<\/a> that you learned in your algebra and geometry classes as well as SAT-specific <a href=\"https:\/\/magoosh.com\/sat\/new-sat-math-challenge-question-5-second-solution\/\" target=\"_blank\" rel=\"noopener noreferrer\">strategies<\/a> that you probably <em>didn\u2019t<\/em> learn in your algebra or geometry classes. Don\u2019t worry if you come across content that was written before the SAT redesign \u2013 a lot of it still applies! At the same time, keep checking this blog for updates, as we are working hard to make sure you get the most up-to-date <a href=\"https:\/\/magoosh.com\/sat\/sat-study-guide\/\" target=\"_blank\" rel=\"noopener noreferrer\">SAT info<\/a>!\n<\/p>\n<\/p>\n<p><iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/o2Ob7uuNawo\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<h2>1. Cross-multiply to find the greater fraction<\/h2>\n<p>If you\u2019re presented with finding the greater of two fractions and you\u2019re not sure which one it is, cross-multiplying can ease that confusion. Draw an X from the numerator of each fraction to the denominator of the other fraction, multiply, and write the answer next to the corresponding numerator; the fraction with the greater value is bigger. In the graphic below, we use this method to determine that 5\/7 is greater than 2\/3.<\/p>\n<div align=\"center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6240\" src=\"https:\/\/magoosh.com\/sat\/files\/2016\/03\/CrossMultFractions.jpg\" alt=\"CrossMultFractions\" width=\"339\" height=\"279\" srcset=\"https:\/\/magoosh.com\/sat\/files\/2016\/03\/CrossMultFractions.jpg 339w, https:\/\/magoosh.com\/sat\/files\/2016\/03\/CrossMultFractions-300x247.jpg 300w\" sizes=\"auto, (max-width: 339px) 100vw, 339px\" \/><\/div>\n<p>&nbsp;<\/p>\n<h2>2. \u201cGreater than\u201d vs. \u201cLess than\u201d<\/h2>\n<p>I\u2019m slightly embarrassed to admit this but to this day, I have to use a mnemonic to remember which direction goes the \u201cless than\u201d sign and which direction goes \u201cgreater than.\u201d If you are in the same boat (no shame if you are), here are two\u00a0ways you can remember:<\/p>\n<ul>\n<li>The alligator always eats the bigger number. This makes sense if you turn the inequality sign into an alligator (see below). I learned this in the 5<sup>th<\/sup> grade and it has never, ever let me down.<\/li>\n<li>Or you can just rely on the perks of being a millennial and growing up with \u201cless-than-three.\u201d By simply remembering that &lt;3 uses the \u201cless than\u201d sign, you should be good to go!<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<div align=\"center\">\n<figure id=\"attachment_6241\" aria-describedby=\"caption-attachment-6241\" style=\"width: 482px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6241\" src=\"https:\/\/magoosh.com\/sat\/files\/2016\/03\/inequality-600x318.jpg\" alt=\"inequality\" width=\"482\" height=\"255\" srcset=\"https:\/\/magoosh.com\/sat\/files\/2016\/03\/inequality-600x318.jpg 600w, https:\/\/magoosh.com\/sat\/files\/2016\/03\/inequality-300x159.jpg 300w, https:\/\/magoosh.com\/sat\/files\/2016\/03\/inequality.jpg 716w\" sizes=\"auto, (max-width: 482px) 100vw, 482px\" \/><figcaption id=\"caption-attachment-6241\" class=\"wp-caption-text\">Wow, that 3 is a jerk.<\/figcaption><\/figure>\n<\/div>\n<h2>3. Divisibility rules<\/h2>\n<p>Knowing divisibility rules \u2013 that is, patterns that all multiples of a given number share \u2013 can save you time, particularly on the no-calculator section, when you need to find factors of larger numbers. Without even realizing it, you probably already knew the divisibility rules for the numbers 2 (its multiples are always even), 5 (its multiples always end in 5 or 0), and 10 (its multiples always end in 0). But what happens if you come across a problem like this on the SAT:<\/p>\n<p style=\"text-align: center;\">Find a, if b is a positive integer greater than 10 and ab = 57<\/p>\n<p>Assuming you don\u2019t immediately recognize potential factors for 57, this is where the 3-9 divisibility test can come in handy. To check if a number is divisible by 3 or 9, all you have to do is mentally add up its digits and see if they add up to a smaller multiple of 3 or 9. If they add up to a multiple of 9, then the number is divisible by both 3 and 9; if they add up to a multiple of 3, then the number is only divisible by 3. For example:<\/p>\n<p style=\"text-align: center;\">57: 5 + 7 = 12 (multiple of 3, therefore divisible by 3, but not by 9)<\/p>\n<p>Then you would divide 57 by 3 to see that it\u2019s 19. Because b is greater than 10, b has to be 19, making a = 3. Or you use logic to figure out a has to be 3 just by doing the divisibility test. Note: if 57 didn\u2019t pass the 3-9 divisibility test, chances are it\u2019s probably a multiple of 7. Although there are enough divisibility <a href=\"https:\/\/www.mathsisfun.com\/divisibility-rules.html\" target=\"_blank\" rel=\"noopener noreferrer\">rules<\/a> to make your head spin, the ones we mention in this post will be sufficient for you to make your factoring that much easier on the SAT.<\/p>\n<h2>4. The Quadratic Formula Song<\/h2>\n<p>A lot of students have a tough time remembering the <a href=\"https:\/\/magoosh.com\/sat\/sat-passport-to-advanced-math\/\" target=\"_blank\" rel=\"noopener noreferrer\">quadratic formula<\/a> and unfortunately, it\u2019s not one of the formulas that the SAT Math test has in the beginning of the two math sections. Fortunately, there\u2019s a nifty song to the tune of \u201cPop Goes The Weasel\u201d that has saved countless students on their math tests (see for yourself in the comments):<\/p>\n<div align=\"center\">\n<p><iframe loading=\"lazy\" title=\"Quadratic Formula Pop Goes the Weasel\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/2lbABbfU6Zc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<p>And in case \u201cPop Goes The Weasel\u201d is not exactly your jam, there are so many versions on YouTube that are more hip <a href=\"https:\/\/youtu.be\/cYpPa3Jt3-I\" target=\"_blank\" rel=\"noopener noreferrer\">with<\/a> <a href=\"https:\/\/www.youtube.com\/watch?v=z6hCu0EPs-o\" target=\"_blank\" rel=\"noopener noreferrer\">the<\/a> <a href=\"https:\/\/www.youtube.com\/watch?v=-gwz6d9NYz0\" target=\"_blank\" rel=\"noopener noreferrer\">times<\/a>. Just make sure you\u2019re singing in your head on test day.<\/p>\n<p>&nbsp;<\/p>\n<h2>5. How to remember trig functions<\/h2>\n<p>SOHCAHTOA.<\/p>\n<p>If don\u2019t know what this is, you\u2019re probably wondering why I\u2019m yelling in a foreign language. SOHCAHTOA is actually a mnemonic that can help you remember how to figure out the sine, cosine, and tangent of an angle from the sides of a right triangle \u2013 or vice versa. Now that trig concepts are being tested on the SAT, check out how to <a href=\"https:\/\/magoosh.com\/sat\/trigonometry-on-the-new-sat-everything-you-need-to-know\/\">use<\/a> <a href=\"https:\/\/magoosh.com\/sat\/trigonometry-on-the-new-sat-everything-you-need-to-know\/\">SOHCAHTOA<\/a>, which will really come in handy for questions where you\u2019re expected to use these functions to determine the length of a missing side.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Know any other cool math tricks, shortcuts, or mnemonics that help you on SAT Math? Share them in the comments below!<\/strong><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Math can be tricky. Here\u2019s your chance to turn the tables and apply these easy-to-apply tricks that will let\u00a0you rule math as opposed to let math rule you.<\/p>\n","protected":false},"author":164,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[91],"tags":[32],"ppma_author":[24874],"class_list":["post-6239","post","type-post","status-publish","format-standard","hentry","category-all","tag-sat-video-post"],"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>5 SAT Math Tricks Every Student Should Know<\/title>\n<meta name=\"description\" content=\"Math can be tricky. 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Anika has a BA from Grinnell College and an MPP from Harvard University. Her experience includes serving two years as a Fulbright English Teaching Assistant in Malaysia, an SAT tutor for Kaplan, and currently, as the Executive Director of Youth Activism Project, a nonprofit that she co-founded when she was 12 years old. Anika's work has been featured in The Washington Post, The Boston Globe, and Yahoo! Money. She has also spoken at panels and given presentations at New York University and Harvard University. If you'd like to keep up with Anika, you can check out her LinkedIn, Instagram, and Twitter.","url":"https:\/\/magoosh.com\/sat\/author\/anikamanzoor\/"}]},"og_video":"https:\/\/www.youtube.com\/embed\/2lbABbfU6Zc","og_video_type":"text\/html","og_video_duration":"23","og_video_width":"480","og_video_height":"360","ya_ovs_adult":"false","ya_ovs_upload_date":"2016-10-10T07:00:35+00:00","ya_ovs_allow_embed":"true"},"authors":[{"term_id":24874,"user_id":164,"is_guest":0,"slug":"anikamanzoor","display_name":"Anika Manzoor","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/2facf35f1214f6f82bbe1f469a6fe7eec2bcfcd8bb9de5fd41acd424bbcb7530?s=96&d=mm&r=g","user_url":"","last_name":"Manzoor","first_name":"Anika","description":"As one of Magoosh\u2019s Blog Editors, Anika relies on her nearly 20 years in education and youth leadership spaces to produce empowering, student-centered content across Magoosh's blogs. Anika has a BA from Grinnell College and an MPP from Harvard University. Her experience includes serving two years as a Fulbright English Teaching Assistant in Malaysia, an SAT tutor for Kaplan, and currently, as the Executive Director of <a href=\"https:\/\/youthactivismproject.org\/whoweare\/about-the-team\/\" target=\"_blank\" rel=\"noopener\">Youth Activism Project<\/a>, a nonprofit that she co-founded when she was 12 years old. Anika's work has been featured in <a href=\"https:\/\/www.washingtonpost.com\/outlook\/2019\/03\/01\/why-children-have-such-powerful-moral-authority\/\" target=\"_blank\" rel=\"noopener\">The Washington Post<\/a>, <a href=\"https:\/\/www.bostonglobe.com\/metro\/globelocal\/2019\/06\/13\/how-chelsea-high-students-took-graduation-back\/Ck8CRRh0x1JiXx1Tt7P3PI\/story.html\" target=\"_blank\" rel=\"noopener\">The Boston Globe<\/a>, and <a href=\"https:\/\/money.yahoo.com\/raise-child-activist-224232037.html\" target=\"_blank\" rel=\"noopener\">Yahoo! Money<\/a>. She has also spoken at panels and given presentations at <a href=\"https:\/\/www.youtube.com\/watch?v=tkRzXJDK2hg\" target=\"_blank\" rel=\"noopener\">New York University<\/a> and <a href=\"https:\/\/sici.hks.harvard.edu\/2018\/09\/04\/anika-manzoor\/\" target=\"_blank\" rel=\"noopener\">Harvard University<\/a>. If you'd like to keep up with Anika, you can check out her <a href=\"https:\/\/www.linkedin.com\/in\/anikamanzoor\/\" target=\"_blank\" rel=\"noopener\">LinkedIn<\/a>, <a href=\"https:\/\/www.instagram.com\/_anika_humaira\/\" target=\"_blank\" rel=\"noopener\">Instagram<\/a>, <a href=\"https:\/\/twitter.com\/_anika_humaira\/\" target=\"_blank\" rel=\"noopener\">Twitter<\/a>, and <a href=\"https:\/\/www.anikamanzoor.com\/\" target=\"_blank\" rel=\"noopener\">personal website<\/a>."}],"_links":{"self":[{"href":"https:\/\/magoosh.com\/sat\/wp-json\/wp\/v2\/posts\/6239","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/magoosh.com\/sat\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/magoosh.com\/sat\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/magoosh.com\/sat\/wp-json\/wp\/v2\/users\/164"}],"replies":[{"embeddable":true,"href":"https:\/\/magoosh.com\/sat\/wp-json\/wp\/v2\/comments?post=6239"}],"version-history":[{"count":0,"href":"https:\/\/magoosh.com\/sat\/wp-json\/wp\/v2\/posts\/6239\/revisions"}],"wp:attachment":[{"href":"https:\/\/magoosh.com\/sat\/wp-json\/wp\/v2\/media?parent=6239"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/magoosh.com\/sat\/wp-json\/wp\/v2\/categories?post=6239"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/magoosh.com\/sat\/wp-json\/wp\/v2\/tags?post=6239"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/magoosh.com\/sat\/wp-json\/wp\/v2\/ppma_author?post=6239"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}