{"id":54287,"date":"2025-06-04T20:23:35","date_gmt":"2025-06-04T14:53:35","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=54287"},"modified":"2025-06-04T20:23:36","modified_gmt":"2025-06-04T14:53:36","slug":"maths-tricks-pdf","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/maths-tricks-pdf\/","title":{"rendered":"Quick Maths Tricks for Fast Calculations"},"content":{"rendered":"\n<p>Quantitative Aptitude or Numerical Ability is a vital part of every major government exam, including Banking, SSC, Railways, and Insurance. With lakhs of candidates appearing every year, mastering math tricks and shortcuts gives you a competitive edge. To crack these exams in 2025, it&#8217;s not about solving every question it\u2019s about solving them faster and smarter than others.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-vivid-cyan-blue-background-color has-background\" href=\"https:\/\/www.oliveboard.in\/test-series\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Take A Free Mock Test Here<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p>To support your exam preparation, we\u2019ve put together a collection of <strong>easy math tricks and shortcuts<\/strong>. These are meant to help you solve questions faster and with better accuracy. Using these simple methods, you can save time on calculations, which is useful during Bank, SSC, Railways, and other government exams. Let\u2019s go through them and see how they work.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Why Maths Shortcuts Are Important for Banking Exams<\/h2>\n\n\n\n<p>Banking exams test your speed and accuracy in solving quantitative aptitude questions. With limited time, using <strong>maths shortcuts<\/strong> and <strong>calculation tricks<\/strong> can help you solve problems faster. These <strong>maths tips<\/strong> reduce long steps and make tough questions easier to handle. Mastering the right techniques can give you an edge in exams.<\/p>\n\n\n\n<p>Here are <strong>10 shortcuts<\/strong> to make your preparation faster and smarter:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Shortcut 1: Square of Numbers Ending in 5<\/h3>\n\n\n\n<p><strong>Trick:<\/strong><br>To square any number ending with 5, use:<br><code>(a5)\u00b2 = a \u00d7 (a + 1) | 25<\/code><\/p>\n\n\n\n<p><strong>Example:<\/strong><br>What is 75\u00b2?<br>\u2192 7 \u00d7 (7+1) = 56, then just add 25<br>\u2192 <strong>75\u00b2 = 5625<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"> Shortcut 2: Multiplying Numbers Close to 100<\/h3>\n\n\n\n<p><strong>Trick:<\/strong><br>If both numbers are close to 100, use this:<br>Let the numbers be (100 \u2013 a) and (100 \u2013 b), then:<br><code>= 10000 - 100(a + b) + (a \u00d7 b)<\/code><\/p>\n\n\n\n<p><strong>Example:<\/strong><br>What is 96 \u00d7 97?<br>a = 4, b = 3<br>\u2192 10000 &#8211; 100(4+3) + 4\u00d73 = 10000 &#8211; 700 + 12 = <strong>9312<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Shortcut 3: Multiply Any 2-Digit Number by 11<\/h3>\n\n\n\n<p><strong>Trick:<\/strong><br>For any number &#8220;ab&#8221;, insert (a+b) between the digits.<br>If the sum exceeds 9, carry the extra digit.<\/p>\n\n\n\n<p><strong>Example:<\/strong><br>56 \u00d7 11 \u2192 5 (5+6) 6 = 5(11)6 \u2192 Add carry<br>\u2192 5+1=6, so result = <strong>616<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Shortcut 4: Divisibility Check in Seconds<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Divisible by 3:<\/strong> Sum of digits divisible by 3<\/li><li><strong>Divisible by 4:<\/strong> Last two digits divisible by 4<\/li><li><strong>Divisible by 11:<\/strong> Alternate digit sum difference divisible by 11<\/li><\/ul>\n\n\n\n<p><strong>Example:<\/strong> Is 3724 divisible by 4?<br>\u2192 Check 24 \u2192 Yes \u2192 So <strong>Yes<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"> Shortcut 5: Percentage-to-Fraction Quick Conversions<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Percentage<\/td><td>Fraction<\/td><\/tr><tr><td>10%<\/td><td>1\/10<\/td><\/tr><tr><td>12.5%<\/td><td>1\/8<\/td><\/tr><tr><td>20%<\/td><td>1\/5<\/td><\/tr><tr><td>33.33%<\/td><td>1\/3<\/td><\/tr><tr><td>75%<\/td><td>3\/4<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Use these during ratio, profit-loss, and discount-based questions to save time!<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"> Shortcut 6: Fastest Average Calculation<\/h3>\n\n\n\n<p>When calculating the average of consecutive numbers, just take the <strong>middle number<\/strong>.<\/p>\n\n\n\n<p><strong>Example:<\/strong> Average of 11, 12, 13, 14, 15 = <strong>13<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Shortcut 7: Distance, Speed, and Time<\/h3>\n\n\n\n<p>If a person covers the same distance at speed \u2018a\u2019 and returns at speed \u2018b\u2019, then:<\/p>\n\n\n\n<p><strong>Average Speed = (2ab)\/(a + b)<\/strong><\/p>\n\n\n\n<p><strong>Example:<\/strong><br>Speed to and fro: 40 km\/hr and 60 km\/hr<br>\u2192 Avg speed = (2\u00d740\u00d760)\/(40+60) = 4800\/100 = <strong>48 km\/hr<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"> Shortcut 8: Compound Interest with Different Rates<\/h3>\n\n\n\n<p>If interest rate varies each year, use:<br><strong>Amount = P(1 + R1\/100)(1 + R2\/100)&#8230;<\/strong><\/p>\n\n\n\n<p><strong>Example:<\/strong><br>P = \u20b910,000, R1 = 5%, R2 = 10%, R3 = 8%<br>\u2192 Amount = 10000 \u00d7 1.05 \u00d7 1.10 \u00d7 1.08 = \u20b9<strong>12474<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"> Shortcut 9: Multiply Numbers Between 10\u201320 Easily<\/h3>\n\n\n\n<p>Use this trick for numbers between 11 and 19:<br><strong>Formula:<\/strong> (a + b) \u00d7 10 + (a \u00d7 b)<\/p>\n\n\n\n<p><strong>Example:<\/strong><br>13 \u00d7 14 = (13+14)\u00d710 + (3\u00d74) = 27\u00d710 + 12 = <strong>282<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"> Shortcut 10: Solve in Mind \u2013 Square of Any Number<\/h3>\n\n\n\n<p><strong>For numbers near a base like 50, 100, etc.<\/strong><\/p>\n\n\n\n<p>Let\u2019s square 103:<br>\u2192 100\u00b2 = 10000<br>\u2192 Add: 2\u00d7100\u00d73 = 600<br>\u2192 Add: 3\u00b2 = 9<br>\u2192 <strong>103\u00b2 = 10609<\/strong><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-vivid-cyan-blue-background-color has-background\" href=\"https:\/\/www.oliveboard.in\/upcoming-government-exams\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>View Upcoming Exams<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Quick Maths  Frequently Asked Questions (FAQs)<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1749048491716\"><strong class=\"schema-faq-question\">Q1. Why should I use math tricks and shortcuts in competitive exams?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> Math tricks help you solve questions faster and more accurately, which is crucial in exams with strict time limits.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1749048499417\"><strong class=\"schema-faq-question\">Q2. Are these shortcuts helpful for all government exams?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> Yes, they are useful for Banking, SSC, Railways, Insurance, and other major government exams.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1749048509402\"><strong class=\"schema-faq-question\">Q3. Can I improve my speed using these tricks?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> Definitely\u2014practicing these tricks regularly boosts calculation speed and saves time during exams.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1749048677080\"><strong class=\"schema-faq-question\">Q4. How can I remember percentage-to-fraction conversions easily?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> Create a small cheat sheet and revise common conversions like 12.5% = 1\/8, 33.33% = 1\/3, etc.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1749048690009\"><strong class=\"schema-faq-question\">Q5. Do I need to know Vedic Maths for these shortcuts?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> No, these are simple, exam-focused tricks anyone can learn with regular practice.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1749048707456\"><strong class=\"schema-faq-question\">Q6. Where can I practice these shortcuts with real exam questions?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> You can apply and practice these tricks in Oliveboard\u2019s free and paid mock tests for various exams.<br\/><br\/><\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><div class=\"wp-block-latest-posts__featured-image aligncenter\"><a href=\"https:\/\/www.oliveboard.in\/blog\/monthly-current-affairs\/\" aria-label=\"Monthly Current Affairs 2026 PDF For SSC, Banking, Railways\"><img loading=\"lazy\" decoding=\"async\" width=\"730\" height=\"480\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/06\/Monthly-Current-Affairs-2026-PDF.webp\" class=\"attachment-large size-large wp-post-image\" alt=\"Monthly Current Affairs 2026 PDF\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/monthly-current-affairs\/\">Monthly Current Affairs 2026 PDF For SSC, Banking, Railways<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image aligncenter\"><a href=\"https:\/\/www.oliveboard.in\/blog\/history-notes\/\" aria-label=\"Free History Notes PDF for SSC, Civil Services, UPSSSC &#038; 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