{"id":25512710,"date":"2026-10-12T16:55:50","date_gmt":"2026-10-12T11:25:50","guid":{"rendered":"https:\/\/entri.app\/blog\/?p=25512710"},"modified":"2026-10-12T17:58:59","modified_gmt":"2026-10-12T12:28:59","slug":"tnpsc-maths-questions-with-solutions","status":"publish","type":"post","link":"https:\/\/entri.app\/blog\/tnpsc-maths-questions-with-solutions\/","title":{"rendered":"TNPSC Maths Notes and Questions: Free Study Material, Formulas &#038; Practice Sets"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-6acce8014e37a\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-6acce8014e37a\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/entri.app\/blog\/tnpsc-maths-questions-with-solutions\/#Why_TNPSC_Maths_Notes_Matter\" >Why TNPSC Maths Notes Matter<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/entri.app\/blog\/tnpsc-maths-questions-with-solutions\/#TNPSC_Maths_Notes_2026_%E2%80%93_Download_Free_PDF\" >TNPSC Maths Notes 2026 &#8211; Download Free PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/entri.app\/blog\/tnpsc-maths-questions-with-solutions\/#TNPSC_Maths_Notes_2026_Important_Formulas_and_Shortcuts\" >TNPSC Maths Notes 2026: Important Formulas and Shortcuts<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/entri.app\/blog\/tnpsc-maths-questions-with-solutions\/#TNPSC_Maths_Questions_with_Answers_%E2%80%93_Online_Practice_Set\" >TNPSC Maths Questions with Answers &#8211; Online Practice Set<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/entri.app\/blog\/tnpsc-maths-questions-with-solutions\/#TNPSC_Maths_Previous_Year_Questions_Why_You_Should_Solve_Them\" >TNPSC Maths Previous Year Questions: Why You Should Solve Them<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/entri.app\/blog\/tnpsc-maths-questions-with-solutions\/#How_to_Prepare_TNPSC_Maths_Smart_Strategy\" >How to Prepare TNPSC Maths: Smart Strategy<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/entri.app\/blog\/tnpsc-maths-questions-with-solutions\/#Tips_to_Score_Full_Marks_in_TNPSC_Aptitude_Questions\" >Tips to Score Full Marks in TNPSC Aptitude Questions<\/a><\/li><\/ul><\/nav><\/div>\n<p data-lfile-container=\"5192e126-dee4-4461-a652-ee694156e8a0\" data-pm-slice=\"1 1 []\">Maths is one of the most scoring sections in TNPSC exams, yet many aspirants skip it out of fear. The good news is that the questions are based on Class 10 level concepts. With the right TNPSC Maths Notes, a set of core formulas and regular practice, you can secure almost full marks in this section.<\/p>\n<p>In this blog, you will find topic-wise TNPSC Maths Study Material, important formulas, shortcut tricks, TNPSC Maths Questions with answers, and a smart preparation strategy. Whether you are preparing for Group 4, Group 2, Group 2A or Group 1, these notes will help you.<\/p>\n<h2 id=\"why-tnpsc-maths-notes-matter\"><span class=\"ez-toc-section\" id=\"Why_TNPSC_Maths_Notes_Matter\"><\/span><strong>Why TNPSC Maths Notes Matter<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>Maths and mental ability questions are formula-based, so marks are easy to secure if you revise well.<\/li>\n<li>The syllabus is limited and of Class 10 standard.<\/li>\n<li>Accuracy and speed improve quickly with short notes and daily practice.<\/li>\n<li>It can be the difference between qualifying and missing the cut-off.<\/li>\n<\/ul>\n<h2 id=\"tnpsc-maths-notes-important-formulas-and-shortcuts\"><span class=\"ez-toc-section\" id=\"TNPSC_Maths_Notes_2026_%E2%80%93_Download_Free_PDF\"><\/span><strong>TNPSC Maths Notes 2026 &#8211; Download Free PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p data-pm-slice=\"1 1 []\">Download the TNPSC Maths Notes 2026 PDF to revise important formulas, concepts, and problems for the exam. The free PDF will be available for download soon.<\/p>\n<h2 id=\"tnpsc-maths-notes-important-formulas-and-shortcuts\"><span class=\"ez-toc-section\" id=\"TNPSC_Maths_Notes_2026_Important_Formulas_and_Shortcuts\"><\/span><strong>TNPSC Maths Notes 2026: Important Formulas and Shortcuts<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 id=\"1-number-system\">1. Number System<\/h3>\n<ul>\n<li>Sum of first n natural numbers = n(n + 1) \/ 2<\/li>\n<li>Sum of first n odd numbers = n\u00b2<\/li>\n<li>Sum of first n even numbers = n(n + 1)<\/li>\n<li>Divisibility by 3: sum of digits divisible by 3. By 9: sum of digits divisible by 9. By 11: difference of sum of odd and even place digits is 0 or a multiple of 11.<\/li>\n<\/ul>\n<h3 id=\"2-hcf-and-lcm\">2. HCF and LCM<\/h3>\n<ul>\n<li>HCF \u00d7 LCM = Product of two numbers<\/li>\n<li>HCF of fractions = HCF of numerators \/ LCM of denominators<\/li>\n<li>LCM of fractions = LCM of numerators \/ HCF of denominators<\/li>\n<\/ul>\n<h3 id=\"3-percentage\">3. Percentage<\/h3>\n<ul>\n<li>Percentage = (Value \/ Total) \u00d7 100<\/li>\n<li>If a number increases by x% and then decreases by x%, net change = \u2212x\u00b2\/100 %<\/li>\n<li>Successive change of a% and b% = a + b + (ab\/100) %<\/li>\n<\/ul>\n<h3 id=\"4-ratio-and-proportion\">4. Ratio and Proportion<\/h3>\n<ul>\n<li>If a : b = c : d, then ad = bc<\/li>\n<li>Mean proportion of a and b = \u221a(ab)<\/li>\n<li>Third proportional of a and b = b\u00b2\/a<\/li>\n<\/ul>\n<h3 id=\"5-average\">5. Average<\/h3>\n<ul>\n<li>Average = Sum of observations \/ Number of observations<\/li>\n<li>Average speed (equal distance) = 2xy \/ (x + y)<\/li>\n<li>Average of first n natural numbers = (n + 1) \/ 2<\/li>\n<\/ul>\n<h3 id=\"6-profit-and-loss\">6. Profit and Loss<\/h3>\n<ul>\n<li>Profit % = (Profit \/ Cost Price) \u00d7 100<\/li>\n<li>Loss % = (Loss \/ Cost Price) \u00d7 100<\/li>\n<li>Selling Price = Cost Price \u00d7 (100 + Profit%) \/ 100<\/li>\n<li>Discount % = (Discount \/ Marked Price) \u00d7 100<\/li>\n<\/ul>\n<h3 id=\"7-simple-and-compound-interest\">7. Simple and Compound Interest<\/h3>\n<ul>\n<li>Simple Interest = (P \u00d7 R \u00d7 T) \/ 100<\/li>\n<li>Compound Amount = P (1 + R\/100)\u207f<\/li>\n<li>Compound Interest = Amount \u2212 Principal<\/li>\n<li>CI \u2212 SI for 2 years = P (R\/100)\u00b2<\/li>\n<\/ul>\n<h3 id=\"8-time-and-work\">8. Time and Work<\/h3>\n<ul>\n<li>If A does a work in x days and B in y days, together they take xy \/ (x + y) days<\/li>\n<li>Work = Rate \u00d7 Time<\/li>\n<li>Efficiency is inversely proportional to the time taken<\/li>\n<\/ul>\n<h3 id=\"9-time-speed-and-distance\">9. Time, Speed and Distance<\/h3>\n<ul>\n<li>Speed = Distance \/ Time<\/li>\n<li>km\/h to m\/s: multiply by 5\/18. m\/s to km\/h: multiply by 18\/5<\/li>\n<li>Train crossing a pole: Time = Length of train \/ Speed<\/li>\n<li>Relative speed (same direction) = difference of speeds. Opposite direction = sum of speeds.<\/li>\n<\/ul>\n<h3 id=\"10-mensuration\">10. Mensuration<\/h3>\n<ul>\n<li>Area of rectangle = l \u00d7 b. Perimeter = 2(l + b)<\/li>\n<li>Area of triangle = \u00bd \u00d7 base \u00d7 height<\/li>\n<li>Area of circle = \u03c0r\u00b2. Circumference = 2\u03c0r<\/li>\n<li>Volume of cylinder = \u03c0r\u00b2h. Volume of cone = \u2153\u03c0r\u00b2h. Volume of sphere = 4\/3 \u03c0r\u00b3<\/li>\n<li>Curved surface area of cylinder = 2\u03c0rh<\/li>\n<\/ul>\n<h3 id=\"11-algebra-and-probability\">11. Algebra and Probability<\/h3>\n<ul>\n<li>(a + b)\u00b2 = a\u00b2 + 2ab + b\u00b2<\/li>\n<li>(a \u2212 b)\u00b2 = a\u00b2 \u2212 2ab + b\u00b2<\/li>\n<li>a\u00b2 \u2212 b\u00b2 = (a + b)(a \u2212 b)<\/li>\n<li>Probability = Number of favourable outcomes \/ Total number of outcomes<\/li>\n<\/ul>\n<h2 id=\"tnpsc-maths-questions-with-answers-practice-set\"><span class=\"ez-toc-section\" id=\"TNPSC_Maths_Questions_with_Answers_%E2%80%93_Online_Practice_Set\"><\/span><strong>TNPSC Maths Questions with Answers &#8211; Online Practice Set<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Q1.<\/strong> What is the HCF of 36 and 48?<\/p>\n<p>(a) 6<\/p>\n<p>(b) 12<\/p>\n<p>(c) 18<\/p>\n<p>(d) 24 <strong>Answer: (b) 12<\/strong><\/p>\n<p><strong>Q2.<\/strong> Find the LCM of 12, 15 and 20.<\/p>\n<p>(a) 30<\/p>\n<p>(b) 60<\/p>\n<p>(c) 90<\/p>\n<p>(d) 120 <strong>Answer: (b) 60<\/strong><\/p>\n<p><strong>Q3.<\/strong> What is 25% of 480?<\/p>\n<p>(a) 100<\/p>\n<p>(b) 110<\/p>\n<p>(c) 120<\/p>\n<p>(d) 130<\/p>\n<p><strong>Answer: (c) 120<\/strong><\/p>\n<p><strong>Q4.<\/strong> If the ratio of two numbers is 3 : 5 and their sum is 64, find the larger number.<\/p>\n<p>(a) 24<\/p>\n<p>(b) 32<\/p>\n<p>(c) 36<\/p>\n<p>(d) 40<\/p>\n<p><strong>Answer: (d) 40<\/strong><\/p>\n<p><strong>Q5.<\/strong> The average of 5 numbers is 24. If one number is removed, the average becomes 22. Find the removed number.<\/p>\n<p>(a) 28<\/p>\n<p>(b) 30<\/p>\n<p>(c) 32<\/p>\n<p>(d) 34<\/p>\n<p><strong>Answer: (c) 32<\/strong><\/p>\n<p><strong>Q6.<\/strong> An article bought for \u20b9500 is sold for \u20b9600. Find the profit percentage.<\/p>\n<p>(a) 15%<\/p>\n<p>(b) 20%<\/p>\n<p>(c) 25%<\/p>\n<p>(d) 30%<\/p>\n<p><strong>Answer: (b) 20%<\/strong><\/p>\n<p><strong>Q7.<\/strong> Find the simple interest on \u20b94,000 at 5% per annum for 3 years.<\/p>\n<p>(a) \u20b9500<\/p>\n<p>(b) \u20b9600<\/p>\n<p>(c) \u20b9700<\/p>\n<p>(d) \u20b9800<\/p>\n<p><strong>Answer: (b) \u20b9600<\/strong><\/p>\n<p><strong>Q8.<\/strong> A can do a piece of work in 10 days and B in 15 days. In how many days can they finish it together?<\/p>\n<p>(a) 5<\/p>\n<p>(b) 6<\/p>\n<p>(c) 7<\/p>\n<p>(d) 8<\/p>\n<p><strong>Answer: (b) 6 days<\/strong><\/p>\n<p><strong>Q9.<\/strong> A train 150 m long passes a pole in 10 seconds. What is its speed in km\/h?<\/p>\n<p>(a) 45<\/p>\n<p>(b) 54<\/p>\n<p>(c) 60<\/p>\n<p>(d) 72<\/p>\n<p><strong>Answer: (b) 54 km\/h<\/strong> (150\/10 = 15 m\/s; 15 \u00d7 18\/5 = 54)<\/p>\n<p><strong>Q10.<\/strong> Find the area of a circle with radius 7 cm. (\u03c0 = 22\/7)<\/p>\n<p>(a) 144<\/p>\n<p>(b) 154<\/p>\n<p>(c) 164<\/p>\n<p>(d) 174<\/p>\n<p><strong>Answer: (b) 154 cm\u00b2<\/strong><\/p>\n<p><strong>Q11.<\/strong> Find the next number in the series: 2, 6, 12, 20, 30, ?<\/p>\n<p>(a) 36<\/p>\n<p>(b) 40<\/p>\n<p>(c) 42<\/p>\n<p>(d) 48<\/p>\n<p><strong>Answer: (c) 42<\/strong> (differences increase by 2: 4, 6, 8, 10, 12)<\/p>\n<p><strong>Q12.<\/strong> A die is thrown once. What is the probability of getting an even number?<\/p>\n<p>(a) 1\/6<\/p>\n<p>(b) 1\/3<\/p>\n<p>(c) 1\/2<\/p>\n<p>(d) 2\/3<\/p>\n<p><strong>Answer: (c) 1\/2<\/strong><\/p>\n<p><strong>Q13.<\/strong> If a\u00b2 + b\u00b2 = 50 and ab = 7, find (a + b)\u00b2.<\/p>\n<p>(a) 60<\/p>\n<p>(b) 62<\/p>\n<p>(c) 64<\/p>\n<p>(d) 66<\/p>\n<p><strong>Answer: (c) 64<\/strong><\/p>\n<p><strong>Q14.<\/strong> What is the compound interest on \u20b910,000 at 10% per annum for 2 years?<\/p>\n<p>(a) \u20b92,000<\/p>\n<p>(b) \u20b92,100<\/p>\n<p>(c) \u20b92,200<\/p>\n<p>(d) \u20b92,400<\/p>\n<p><strong>Answer: (b) \u20b92,100<\/strong><\/p>\n<p><strong>Q15.<\/strong> The sum of the first 20 natural numbers is:<\/p>\n<p>(a) 190<\/p>\n<p>(b) 200<\/p>\n<p>(c) 210<\/p>\n<p>(d) 220<\/p>\n<p><strong>Answer: (c) 210<\/strong><\/p>\n<h2 id=\"tnpsc-maths-previous-year-questions-why-you-should-solve-them\"><span class=\"ez-toc-section\" id=\"TNPSC_Maths_Previous_Year_Questions_Why_You_Should_Solve_Them\"><\/span><strong>TNPSC Maths Previous Year Questions: Why You Should Solve Them<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Solving TNPSC Maths Previous Year Questions shows you which topics repeat most often. Percentage, profit and loss, time and work, average, simple interest and number series appear regularly. Solve at least the last 5 years of papers for your exam, and note the topics where you lose marks.<\/p>\n<h2 id=\"how-to-prepare-tnpsc-maths-smart-strategy\"><span class=\"ez-toc-section\" id=\"How_to_Prepare_TNPSC_Maths_Smart_Strategy\"><\/span><strong>How to Prepare TNPSC Maths: Smart Strategy<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li><strong>Learn the formulas first.<\/strong> Make a one-page formula sheet and revise it daily.<\/li>\n<li><strong>Start with easy topics.<\/strong> Percentage, average, ratio and profit and loss give quick marks.<\/li>\n<li><strong>Learn shortcuts.<\/strong> Use short tricks to save time in the exam.<\/li>\n<li><strong>Practice every day.<\/strong> Solve 20 to 25 questions daily with a timer.<\/li>\n<li><strong>Take mock tests.<\/strong> Attempt full-length tests to improve speed and accuracy.<\/li>\n<li><strong>Revise mistakes.<\/strong> Keep a notebook of errors and revisit it weekly.<\/li>\n<li><strong>Study Tamil and GS alongside.<\/strong> Maths should take only a small part of your daily schedule.<\/li>\n<\/ol>\n<h2 id=\"tips-to-score-full-marks-in-tnpsc-aptitude\"><span class=\"ez-toc-section\" id=\"Tips_to_Score_Full_Marks_in_TNPSC_Aptitude_Questions\"><\/span><strong>Tips to Score Full Marks in TNPSC Aptitude Questions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>Do not spend more than one minute on a single question.<\/li>\n<li>Use option elimination when you are stuck.<\/li>\n<li>Learn squares up to 30, cubes up to 15 and tables up to 20.<\/li>\n<li>Memorise common fractions and their percentage values (1\/8 = 12.5%, 1\/6 = 16.67%).<\/li>\n<li>Check units carefully (km\/h, m\/s, days, hours).<\/li>\n<\/ul>\n<h3 id=\"practice-tnpsc-maths-on-the-entri-app\"><strong>Practice TNPSC Maths on the Entri App<\/strong><\/h3>\n<p>Reading notes is only half the job. On the Entri app, you can:<\/p>\n<ul>\n<li>Access TNPSC Maths Notes and study material in simple language<\/li>\n<li>Practice topic-wise TNPSC Maths Questions<\/li>\n<li>Take free mock tests and previous year question papers<\/li>\n<li>Track your progress and fix weak areas<\/li>\n<li>Join live classes by expert mentors<\/li>\n<\/ul>\n<p><strong>Download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=me.entri.entrime&amp;hl=en_IN\" target=\"_blank\" rel=\"noopener\">Entri app<\/a> today and start your TNPSC preparation.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Maths is one of the most scoring sections in TNPSC exams, yet many aspirants skip it out of fear. The good news is that the questions are based on Class 10 level concepts. With the right TNPSC Maths Notes, a set of core formulas and regular practice, you can secure almost full marks in this [&hellip;]<\/p>\n","protected":false},"author":115,"featured_media":25662449,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[802,266],"tags":[],"class_list":["post-25512710","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articles","category-tamil-nadu-psc"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>TNPSC Maths Notes 2026: Formulas, Shortcuts &amp; Model Questions<\/title>\n<meta name=\"description\" content=\"Get TNPSC Maths Notes 2026 with important formulas, shortcuts and solved questions for Group 4, Group 2 and Group 1. 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