{"id":178394,"date":"2025-09-26T17:40:31","date_gmt":"2025-09-26T12:10:31","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=178394"},"modified":"2025-11-26T13:07:29","modified_gmt":"2025-11-26T07:37:29","slug":"speed-maths-tricks-to-solve-simplification-questions-mentally","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/speed-maths-tricks-to-solve-simplification-questions-mentally\/","title":{"rendered":"Speed Maths Tricks to Solve Simplification Questions Mentally"},"content":{"rendered":"\n<p><\/p>\n\n\n<div class=\"yoast-breadcrumbs\"><span><span><a href=\"https:\/\/www.practicemock.com\/blog\/\">Home<\/a><\/span> \u00bb <span><a href=\"https:\/\/www.practicemock.com\/blog\/category\/banking-insurance\/\">Banking &amp; Insurance<\/a><\/span> \u00bb <span class=\"breadcrumb_last\" aria-current=\"page\">Speed Maths Tricks to Solve Simplification Questions Mentally<\/span><\/span><\/div>\n\n\n<p><\/p>\n\n\n\n<p>Simplification Questions are asked significantly in the RRB Clerk exam every year. Solving this type of question in exam requires quick calculation. Most of the questions from this topic can be solved using speed math tricks. Some speed math or mental math tricks make the calculation simpler and quicker. These tricks and techniques help in answering such questions within seconds. Mental math is not only used in simplification but in every numerical that you solve. When these shortcut tricks are learnt and practiced well, these play a huge role in improving your score. Therefore, in this blog, we are providing most used speed math tricks to solve simplification questions mentally.&nbsp;<\/p>\n\n\n\n<p><\/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-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/?ref=14384\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Take Upcoming<\/strong> <strong>Banking Exams Free Mock Test<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Why Simplification Matters in Bank Exams?<\/strong><\/h2>\n\n\n\n<p>Simplification questions are the bread and butter of the Quantitative Aptitude section in banking exams like IBPS RRB Clerk. If you master speed maths tricks, you can solve these questions mentally, saving precious time and boosting your score. This blog will walk you through the most effective techniques, examples, and tips to crack simplification questions like a pro.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Weightage<\/strong>: 10\u201315 questions in the Quant section<\/li>\n\n\n\n<li><strong>Time-saving<\/strong>: Quick mental calculations = more time for DI and word problems<\/li>\n\n\n\n<li><strong>Scoring<\/strong>: High accuracy if you know the tricks<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/www.practicemock.com\/?next=https%3A%2F%2Fwww.practicemock.com%2Fs1pricing%2Findex.php%3Fc%3Dpremium&amp;ref=14384\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1300\" height=\"500\" src=\"https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2025\/08\/Banking-Plus-Course-1-1.png\" alt=\"banking plus course\" class=\"wp-image-168282\"\/><\/a><\/figure><\/div>\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Common Types of Simplification Questions<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>BODMAS-based expressions<\/li>\n\n\n\n<li>Fractions and decimals<\/li>\n\n\n\n<li>Surds and indices<\/li>\n\n\n\n<li>Percentages<\/li>\n\n\n\n<li>Approximation<\/li>\n\n\n\n<li>Square roots and cube roots<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Speed Maths Tricks You Must Know<\/strong><\/h2>\n\n\n\n<p>Below we have listed 7 must know speed maths tricks to solve simplification question quickly&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1. BODMAS Rule \u2013 The Foundation<\/strong><\/h3>\n\n\n\n<p>Always follow the order: <strong>B<\/strong>rackets \u2192 <strong>O<\/strong>rders or of (powers, roots) \u2192 <strong>D<\/strong>ivision \u2192 <strong>M<\/strong>ultiplication \u2192 <strong>A<\/strong>ddition \u2192 <strong>S<\/strong>ubtraction<\/p>\n\n\n\n<p>Example:<br>Solve: 12 + 6 \u00d7 (3\u00b2 \u2013 1) \u00f7 2<br>Step-by-step:<br>\u2192 3\u00b2 = 9<br>\u2192 (9 \u2013 1) = 8<br>\u2192 6 \u00d7 8 = 48<br>\u2192 48 \u00f7 2 = 24<br>\u2192 12 + 24 = <strong>36<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2. Multiplication Shortcuts<\/strong><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>a. Multiplying by 5<\/strong><\/h4>\n\n\n\n<p>Just halve the number and add a zero.<br>Example: 86 \u00d7 5 \u2192 86 \u00f7 2 = 43 \u2192 430<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>b. Multiplying by 11<\/strong><\/h4>\n\n\n\n<p>Add adjacent digits and place them in between.<br>Example: 52 \u00d7 11 \u2192 5 (5+2) 2 \u2192 <strong>572<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>3. Squaring Numbers Ending in 5<\/strong><\/h3>\n\n\n\n<p>Use the formula:<br>If the number is <em>x5<\/em>, then<br><strong>x \u00d7 (x + 1)<\/strong> followed by <strong>25<\/strong><\/p>\n\n\n\n<p>Example: 35\u00b2 \u2192 3 \u00d7 4 = 12 \u2192 1225<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>4. Quick Percentage Calculations<\/strong><\/h3>\n\n\n\n<p>Use fractions for common percentages:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>10% = \u00f710<\/li>\n\n\n\n<li>25% = \u00f74<\/li>\n\n\n\n<li>50% = \u00f72<\/li>\n\n\n\n<li>75% = \u00d7\u00be<\/li>\n<\/ul>\n\n\n\n<p>Example: 75% of 240 \u2192 240 \u00d7 \u00be = <strong>180<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>5. Approximations for Faster Elimination<\/strong><\/h3>\n\n\n\n<p>Round off numbers smartly:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>198 \u2248 200<\/li>\n\n\n\n<li>49.8 \u2248 50<br>Use this in options-based questions to eliminate wrong choices quickly.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>6. Surds and Indices Simplification<\/strong><\/h3>\n\n\n\n<p>Know basic conversions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u221a4 = 2<\/li>\n\n\n\n<li>\u221a9 = 3<\/li>\n\n\n\n<li>2\u00b3 = 8<\/li>\n\n\n\n<li>5\u00b2 = 25<br>Use these to simplify expressions like:<br>Example: \u221a25 + 2\u00b3 = 5 + 8 = <strong>13<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>7. Digit Sum Trick for Quick Checks<\/strong><\/h3>\n\n\n\n<p>Use digit sum to verify options:&nbsp;<\/p>\n\n\n\n<p>Example:<br>Check which of the following is divisible by 9:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>243 \u2192 2+4+3 = 9&nbsp;<\/li>\n\n\n\n<li>234 \u2192 2+3+4 = 9&nbsp;<\/li>\n\n\n\n<li>225 \u2192 2+2+5 = 9<br>All are divisible!<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Practice Set for Mental Simplification<\/strong><\/h2>\n\n\n\n<p>Try solving these mentally:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>48 \u00d7 5 = ?<\/li>\n\n\n\n<li>\u221a144 + 25% of 80 = ?<\/li>\n\n\n\n<li>11 \u00d7 67 = ?<\/li>\n\n\n\n<li>35\u00b2 = ?<\/li>\n\n\n\n<li>2\u00b3 + \u221a49 = ?<\/li>\n<\/ol>\n\n\n\n<p>Answers:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>240<\/li>\n\n\n\n<li>12 + 20 = 32<\/li>\n\n\n\n<li>737<\/li>\n\n\n\n<li>1225<\/li>\n\n\n\n<li>8 + 7 = 15<\/li>\n<\/ol>\n\n\n\n<p>Solutions:<\/p>\n\n\n\n<p>1. <strong>48 \u00d7 5 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 240<\/strong><br><strong>Explanation<\/strong>: Use the shortcut for multiplying by 5: halve the number and add a zero.<br>\u2192 48 \u00f7 2 = 24 \u2192 Add a zero \u2192 <strong>240<\/strong><\/p>\n\n\n\n<p>2. <strong>\u221a144 + 25% of 80 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 32<\/strong><br><strong>Explanation<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u221a144 = 12<\/li>\n\n\n\n<li>25% of 80 = 80 \u00f7 4 = 20<br>\u2192 12 + 20 = <strong>32<\/strong><\/li>\n<\/ul>\n\n\n\n<p>3. <strong>11 \u00d7 67 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 737<\/strong><br><strong>Explanation<\/strong>: Use the shortcut for multiplying by 11:<br>\u2192 6 (6+7) 7 \u2192 6 + 7 = 13 \u2192 Carry over 1<br>\u2192 Final result = <strong>737<\/strong><\/p>\n\n\n\n<p>4. <strong>35\u00b2 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 1225<\/strong><br><strong>Explanation<\/strong>: Use the squaring trick for numbers ending in 5:<br>\u2192 3 \u00d7 4 = 12 \u2192 Add 25 \u2192 <strong>1225<\/strong><\/p>\n\n\n\n<p>5. <strong>2\u00b3 + \u221a49 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 15<\/strong><br><strong>Explanation<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2\u00b3 = 8<\/li>\n\n\n\n<li>\u221a49 = 7<br>\u2192 8 + 7 = <strong>15<\/strong><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Advanced Speed Maths Tricks for Mental Simplification<\/strong><\/h2>\n\n\n\n<p>These tricks go beyond the basics and help you tackle tougher simplification questions with ease.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1. Squaring Numbers Quickly<\/strong><\/h3>\n\n\n\n<p>There are two shortcuts for squaring a number quickly. One is for the number ending in 5 and the other is the Near base method.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>a. Numbers ending in 5<\/strong><\/h4>\n\n\n\n<p>Use: ( x5^2 = x \\times (x+1) ) followed by 25<br>Example: 85\u00b2 \u2192 8 \u00d7 9 = 72 \u2192 7225<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>b. Near Base Method<\/strong><\/h4>\n\n\n\n<p>Use for numbers close to 100, 50, etc.<br>Example: 103\u00b2<br>\u2192 Base = 100, Difference = +3<br>\u2192 103\u00b2 = 100\u00b2 + 2\u00d7100\u00d73 + 3\u00b2 = 10000 + 600 + 9 = 10609<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2. Cubing Numbers Mentally<\/strong><\/h3>\n\n\n\n<p>Use identity:<br>[ (a + b)<sup>3 = <\/sup>a^3+ 3ba<sup>2 + <\/sup>3ab^2 + b^3 ]<\/p>\n\n\n\n<p>Example: 12\u00b3<br>\u2192 a = 10, b = 2<br>\u2192 1000 + 3\u00d7100\u00d72 + 3\u00d710\u00d74 + 8 = 1000 + 600 + 120 + 8 = 1728<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>3. Square Root Tricks<\/strong><\/h3>\n\n\n\n<p>There are two types of square root tricks. One is perfect square calculation and the other is estimation method.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>a. Perfect Squares Recognition<\/strong><\/h4>\n\n\n\n<p>Memorize squares up to 30 for instant recall.<br>Example: \u221a625 = 25<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>b. Estimation Method<\/strong><\/h4>\n\n\n\n<p>For non-perfect squares, estimate between known roots.<br>Example: \u221a50 \u2192 between \u221a49 (7) and \u221a64 (8) \u2192 approx 7.1<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>4. Cube Root Tricks<\/strong><\/h3>\n\n\n\n<p>Memorize cubes up to 20:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2\u00b3 = 8<\/li>\n\n\n\n<li>3\u00b3 = 27<\/li>\n\n\n\n<li>4\u00b3 = 64<\/li>\n\n\n\n<li>5\u00b3 = 125<br>Example: \u221b216 = <strong>6<\/strong><\/li>\n<\/ul>\n\n\n\n<p><strong>Find \u221b17576<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Last 3 digits: 576 \u2192 ends in 6 \u2192 unit digit is 6 (because 6\u00b3 = 216)<\/li>\n\n\n\n<li>Remaining part: 17 \u2192 closest cube less than 17 is 8\u00b3 = 512 \u2192 root is 2<\/li>\n\n\n\n<li>Final answer: 26<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>6. Alligation Rule (for Averages)<\/strong><\/h3>\n\n\n\n<p>Used to find the ratio of mixing two items at different prices to get a mean price.<\/p>\n\n\n\n<p>Example:<br>Tea at \u20b960\/kg and \u20b990\/kg mixed to get \u20b975\/kg<br>\u2192 Difference:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>90 \u2013 75 = 15<\/li>\n\n\n\n<li>75 \u2013 60 = 15<br>\u2192 Ratio = 1:1<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>7. Unit Digit Trick for Powers<\/strong><\/h3>\n\n\n\n<p>Helps in finding the last digit of large powers.<\/p>\n\n\n\n<p>Example:<br>Find unit digit of ( 7^{103} )<br>\u2192 Cycle of 7: 7, 9, 3, 1 (repeats every 4)<br>\u2192 103 mod 4 = 3 \u2192 3rd digit = <strong>3<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>8. Divisibility Rules<\/strong><\/h3>\n\n\n\n<p>Quick checks for options:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>By 2<\/strong>: Last digit even<\/li>\n\n\n\n<li><strong>By 3<\/strong>: Sum of digits divisible by 3<\/li>\n\n\n\n<li><strong>By 4<\/strong>: Last two digits divisible by 4<\/li>\n\n\n\n<li><strong>By 5<\/strong>: Ends in 0 or 5<\/li>\n\n\n\n<li><strong>By 9<\/strong>: Sum of digits divisible by 9<\/li>\n\n\n\n<li><strong>By 11<\/strong>: Alternating sum of digits is either 0 or 11<\/li>\n<\/ul>\n\n\n\n<p>Example: Is 121 divisible by 11?<br>\u2192 1 \u2013 2 + 1 = 0 \u2192 Yes&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>9. Vedic Maths Sutras (Optional)<\/strong><\/h3>\n\n\n\n<p>If your students are familiar with <a href=\"https:\/\/www.practicemock.com\/blog\/how-to-do-fast-calculations-with-vedic-maths-for-rrb-po-2025-exam\/\" target=\"_blank\" rel=\"noreferrer noopener\">Vedic Maths<\/a>, you can introduce:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Nikhilam Sutra<\/strong>: For subtraction from base<\/li>\n\n\n\n<li><strong>Urdhva Tiryagbhyam<\/strong>: For vertical and crosswise multiplication<\/li>\n\n\n\n<li><strong>Anurupyena<\/strong>: For proportional calculations<\/li>\n<\/ul>\n\n\n\n<p>These are optional but powerful for advanced learners.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Practice Set \u2013 Advanced Simplification<\/strong><\/h2>\n\n\n\n<p>Try solving mentally:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>95\u00b2 = ?<\/li>\n\n\n\n<li>\u221b512 = ?<\/li>\n\n\n\n<li>\u221a225 + 5\u00b2 = ?<\/li>\n\n\n\n<li>13\u00b3 = ?<\/li>\n\n\n\n<li>Use Componendo-Dividendo: If a\/b = 4\/3, find (a + b)\/(a \u2013 b)<\/li>\n<\/ol>\n\n\n\n<p>Answers:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>9025<\/li>\n\n\n\n<li>8<\/li>\n\n\n\n<li>15 + 25 = 40<\/li>\n\n\n\n<li>2197<\/li>\n\n\n\n<li>(4 + 3)\/(4 \u2013 3) = 7\/1 = 7<\/li>\n<\/ol>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<p>1. <strong>999 \u00d7 36 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 35964<\/strong><br><strong>Explanation<\/strong>: Use the shortcut:<br>\u2192 999 \u00d7 36 = (1000 \u00d7 36) \u2013 36 = 36000 \u2013 36 = <strong>35964<\/strong><\/p>\n\n\n\n<p>2. <strong>48 \u00d7 25 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 1200<\/strong><br><strong>Explanation<\/strong>: Use doubling and halving:<br>\u2192 48 \u00d7 25 = 24 \u00d7 50 = 12 \u00d7 100 = <strong>1200<\/strong><\/p>\n\n\n\n<p>3. <strong>102\u00b2 \u2013 98\u00b2 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 800<\/strong><br><strong>Explanation<\/strong>: Use identity:<br>\u2192 a\u00b2 \u2013 b\u00b2 = (a + b)(a \u2013 b)<br>\u2192 (102 + 98)(102 \u2013 98) = 200 \u00d7 4 = <strong>800<\/strong><\/p>\n\n\n\n<p>4. <strong>23 \u00d7 12 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 276<\/strong><br><strong>Explanation<\/strong>: Use split and merge:<br>\u2192 (20 \u00d7 12) + (3 \u00d7 12) = 240 + 36 = <strong>276<\/strong><\/p>\n\n\n\n<p>5. <strong>Simplify: (a + b)\u00b2 when a = 5, b = 3<\/strong><\/p>\n\n\n\n<p><strong>Answer: 64<\/strong><br><strong>Explanation<\/strong>:<br>\u2192 (5 + 3)\u00b2 = 8\u00b2 = <strong>64<\/strong><br>Or use identity:<br>\u2192 a\u00b2 + 2ab + b\u00b2 = 25 + 30 + 9 = <strong>64<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>More Speed Maths Tricks for Mental Simplification<\/strong><\/h2>\n\n\n\n<p>Here\u2019s a fresh batch of tricks that go beyond the usual shortcuts which is ideal for aspirants aiming to master mental calculations.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>10. Addition &amp; Subtraction Using Base Method<\/strong><\/h3>\n\n\n\n<p>Use base numbers like 100, 1000, etc., to simplify mentally.<\/p>\n\n\n\n<p>Example:<br>998 + 247<br>\u2192 (1000 \u2013 2) + 247 = 1247 \u2013 2 = 1245<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>11. Split and Merge Method for Multiplication<\/strong><\/h3>\n\n\n\n<p>Break numbers into parts to simplify.<\/p>\n\n\n\n<p>Example:<br>23 \u00d7 12<br>\u2192 (20 + 3) \u00d7 12 = (20 \u00d7 12) + (3 \u00d7 12) = 240 + 36 = 276<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>12. Doubling and Halving Method<\/strong><\/h3>\n\n\n\n<p>If one number is even, halve it and double the other.<\/p>\n\n\n\n<p>Example:<br>16 \u00d7 25 \u2192 8 \u00d7 50 \u2192 4 \u00d7 100 = 400<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>13. Cross Multiplication for Two-Digit Numbers<\/strong><\/h3>\n\n\n\n<p>Use this for multiplying numbers like 23 \u00d7 31:<\/p>\n\n\n\n<p>[ (2\u00d73) | (2\u00d71 + 3\u00d73) | (3\u00d71) = 6 | 11 | 3 \u2192 713 ]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>14. Multiplying Numbers Near 100<\/strong><\/h3>\n\n\n\n<p>Use:<br>[ (x + a)(x + b) = x^2 + x(a + b) + ab ]<\/p>\n\n\n\n<p>Example:<br>98 \u00d7 97<br>\u2192 x = 100, a = \u20132, b = \u20133<br>\u2192 10000 \u2013 500 + 6 = 9506<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>15. Quick Conversion of Fractions to Percentages<\/strong><\/h3>\n\n\n\n<p>Memorize common <a href=\"https:\/\/www.practicemock.com\/blog\/percentage-to-fraction\/\" target=\"_blank\" rel=\"noreferrer noopener\">percentage to fraction conversions<\/a>:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Fraction<\/strong><\/td><td><strong>Percentage<\/strong><\/td><\/tr><tr><td>\u00bd<\/td><td>50%<\/td><\/tr><tr><td>\u2153<\/td><td>33.33%<\/td><\/tr><tr><td>\u00bc<\/td><td>25%<\/td><\/tr><tr><td>\u2155<\/td><td>20%<\/td><\/tr><tr><td>\u2159<\/td><td>16.66%<\/td><\/tr><tr><td>\u215b<\/td><td>12.5%<\/td><\/tr><tr><td>\u2152<\/td><td>10%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>16. Rule of 72 for Estimations<\/strong><\/h3>\n\n\n\n<p>Used in finance to estimate doubling time:<\/p>\n\n\n\n<p>Example:<br>At 6% interest, money doubles in \u2248 72 \u00f7 6 = 12 years<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>17. Simplifying Ratios Mentally<\/strong><\/h3>\n\n\n\n<p>Divide both terms by their HCF.<\/p>\n\n\n\n<p>Example:<br>36:48 \u2192 HCF = 12 \u2192 36 \u00f7 12 : 48 \u00f7 12 = 3:4<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>18. Using Complementary Numbers<\/strong><\/h3>\n\n\n\n<p>For subtraction:<br>Instead of 1000 \u2013 647, think of the complement of 647.<\/p>\n\n\n\n<p>\u2192 1000 \u2013 647 = 353<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>19. Multiplying by 9, 99, 999<\/strong><\/h3>\n\n\n\n<p>Use:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>9 \u00d7 x = (x \u00d7 10) \u2013 x<\/li>\n\n\n\n<li>99 \u00d7 x = (x \u00d7 100) \u2013 x<\/li>\n\n\n\n<li>999 \u00d7 x = (x \u00d7 1000) \u2013 x<\/li>\n<\/ul>\n\n\n\n<p>Example:<br>99 \u00d7 47 = 4700 \u2013 47 = 4653<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>20. Using Algebraic Identities<\/strong><\/h3>\n\n\n\n<p>These help simplify expressions quickly:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(a + b)<sup>2 = <\/sup>a^2 + 2ab + b^2<\/li>\n\n\n\n<li>(a \u2013 b)<sup>2 = <\/sup>a^2 \u2013 2ab + b^2<\/li>\n\n\n\n<li>a<sup>2 \u2013 <\/sup>&nbsp;b^2= ((a + b)(a \u2013 b))<\/li>\n<\/ul>\n\n\n\n<p>Example:<br>( 102<sup>2 \u2013 <\/sup>98^2 = (102 + 98)(102 \u2013 98) = 200 \u00d7 4 = 800 )<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Bonus Practice Set \u2013 Apply These Tricks<\/strong><\/h2>\n\n\n\n<p>Questions:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>999 \u00d7 36 = ?<\/li>\n\n\n\n<li>48 \u00d7 25 = ?<\/li>\n\n\n\n<li>102\u00b2 \u2013 98\u00b2 = ?<\/li>\n\n\n\n<li>23 \u00d7 12 = ?<\/li>\n\n\n\n<li>Simplify: (a + b)\u00b2 when a = 5, b = 3<\/li>\n<\/ol>\n\n\n\n<p>Answers:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>35964<\/li>\n\n\n\n<li>1200<\/li>\n\n\n\n<li>800<\/li>\n\n\n\n<li>276<\/li>\n\n\n\n<li>64<\/li>\n<\/ol>\n\n\n\n<p>Solutions:<\/p>\n\n\n\n<p>1. <strong>\u221b32768 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 32<\/strong><br><strong>Explanation<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Last digit is 8 \u2192 unit digit is 2<\/li>\n\n\n\n<li>Remaining part: 32 \u2192 closest cube below is 27 (3\u00b3) \u2192 tens digit is 3<br>\u2192 Final answer = <strong>32<\/strong><\/li>\n<\/ul>\n\n\n\n<p>2. <strong>\u221b13824 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 24<\/strong><br><strong>Explanation<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Last digit is 4 \u2192 unit digit is 4<\/li>\n\n\n\n<li>Remaining part: 13 \u2192 closest cube below is 8 (2\u00b3) \u2192 tens digit is 2<br>\u2192 Final answer = <strong>24<\/strong><\/li>\n<\/ul>\n\n\n\n<p>3. <strong>\u221b74088 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 42<\/strong><br><strong>Explanation<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Last digit is 8 \u2192 unit digit is 2<\/li>\n\n\n\n<li>Remaining part: 74 \u2192 closest cube below is 64 (4\u00b3) \u2192 tens digit is 4<br>\u2192 Final answer = <strong>42<\/strong><\/li>\n<\/ul>\n\n\n\n<p>4. <strong>\u221b91125 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 45<\/strong><br><strong>Explanation<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Last digit is 5 \u2192 unit digit is 5<\/li>\n\n\n\n<li>Remaining part: 91 \u2192 closest cube below is 64 (4\u00b3) \u2192 tens digit is 4<br>\u2192 Final answer = <strong>45<\/strong><\/li>\n<\/ul>\n\n\n\n<p>5. <strong>\u221b512 = ?<\/strong><\/p>\n\n\n\n<p><strong>Answer: 8<\/strong><br><strong>Explanation<\/strong>:<br>\u2192 512 is a known perfect cube \u2192 \u221b512 = <strong>8<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Simplification Master Tips for Banking Exam Aspirants<\/strong><\/h2>\n\n\n\n<p>4 most important tips to master simplification using shortcuts are given below.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Practice daily<\/strong>: 15\u201320 simplification questions<\/li>\n\n\n\n<li><strong>Use a timer<\/strong>: Build speed and accuracy<\/li>\n\n\n\n<li><strong>Revise tricks weekly<\/strong>: Keep them fresh<\/li>\n\n\n\n<li><strong>Mock tests<\/strong>: Apply tricks under exam pressure<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Conclusion<\/strong><\/h2>\n\n\n\n<p>Speed maths isn\u2019t just about shortcuts, it\u2019s about smart strategy. With consistent practice and these mental tricks, you\u2019ll be able to solve simplification questions quickly in your exam. Bookmark this blog, share it with fellow aspirants, and start practicing today!<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>Disclaimer:<\/strong> The speed maths tricks, examples, and practice questions provided are compiled from expert analysis of exam trends and reliable sources. They are intended for practice and guidance only, not official banking exam content. Actual exam questions may differ. Candidates should always verify details through official <a href=\"http:\/\/ibps.in\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">IBPS\/RRB notices<\/a>.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Know What Our Successful Aspirant Says&#8230;<\/h2>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/www.practicemock.com\/blog\/success-story-of-diwakar-tupare-cleared-rrb-po\/\" target=\"_blank\" rel=\" noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1605\" height=\"1073\" src=\"https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2025\/09\/Diwakar-Tupare.png\" alt=\"Success Story of Diwakar Tupare, who cleared RRB PO\" class=\"wp-image-174918\"\/><\/a><figcaption class=\"wp-element-caption\">Success Story of Diwakar Tupare, who cleared RRB PO<\/figcaption><\/figure><\/div>\n\n\n<p class=\"has-text-align-center\"><strong>Our Banking Preparation Package includes topic tests, sectional tests, rank boosters for prelims, previous year paper tests, e-books, CA tests, Quizzes, live tests, PDF Course, and more. Discover our banking and insurance packages in detail from the link provided below!<\/strong><\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/www.practicemock.com\/?next=https%3A%2F%2Fwww.practicemock.com%2Fs1pricing%2Findex.php%3Fc%3Dpremium&amp;ref=14384\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1141\" height=\"629\" src=\"https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2025\/08\/New-Banking-Packages-Banner-1.png\" alt=\"banking packages banner\" class=\"wp-image-168023\"\/><\/a><\/figure><\/div>\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-center\"><em><strong>Join our exclusive Telegram group, where our experts are ready to answer all your queries, guide you in banking exam preparation, and give personalised tips to boost your success. Get access to real-time solutions, expert advice, and valuable resources to improve your study journey. <\/strong><\/em><\/p>\n\n\n\n<p><\/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-white-color has-vivid-red-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/t.me\/bankgovtjobexamprep\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>PracticeMock Telegram group Link<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>FAQs<\/strong><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1758883716593\"><strong class=\"schema-faq-question\">How to solve simplification questions faster?<\/strong> <p class=\"schema-faq-answer\">To solve simplification questions quickly, master the BODMAS rule, memorize squares, cubes, square roots, and cube roots, fractions, decimals, percentages, and mental math techniques. <\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1758883719078\"><strong class=\"schema-faq-question\">How to improve mental math speed?<\/strong> <p class=\"schema-faq-answer\">To improve mental math speed in solving questions, practice a larger number of questions using mental math techniques, and master basics like multiplication tables.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1758883721317\"><strong class=\"schema-faq-question\">How to solve math problems really fast?<\/strong> <p class=\"schema-faq-answer\">To solve math problems quickly, build strong fundamentals, learn multiplication and division shortcuts, memorize tables, and use mental math tricks. <\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1758883722746\"><strong class=\"schema-faq-question\">What is the weightage of simplification in bank exams?<\/strong> <p class=\"schema-faq-answer\">10 to 15 questions are asked every year in bank exams. <\/p> <\/div> <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Master simplification using speed maths tricks to solve questions mentally within seconds and practice more!<\/p>\n","protected":false},"author":29,"featured_media":178403,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[22],"tags":[896],"class_list":["post-178394","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-banking-insurance","tag-simplification-tips-and-tricks"],"yoast_head":"<!-- This site is optimized with the Yoast 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Over the years, I've been a dedicated government job aspirant, having attempted various competitive exams conducted by the Government of India, including SSC JE, RRB JE, Banking &amp; Insurance exams, UPSC CDS, UPSC CSE and GPSC. This journey has provided me with deep insights into the examination patterns and preparation strategies. Currently, I channel this experience into my role as a passionate content writer at PracticeMock, where I strive to deliver accurate and relevant information to candidates preparing for Banking exams, guiding them effectively on their preparation journey.","url":"https:\/\/www.practicemock.com\/blog\/author\/sandhya\/"},{"@type":"Question","@id":"https:\/\/www.practicemock.com\/blog\/speed-maths-tricks-to-solve-simplification-questions-mentally\/#faq-question-1758883716593","position":1,"url":"https:\/\/www.practicemock.com\/blog\/speed-maths-tricks-to-solve-simplification-questions-mentally\/#faq-question-1758883716593","name":"How to solve simplification questions faster?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"To solve simplification questions quickly, master the BODMAS rule, memorize squares, cubes, square roots, and cube roots, fractions, decimals, percentages, and mental math techniques. 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