{"id":406,"date":"2026-09-01T07:00:04","date_gmt":"2026-09-01T01:30:04","guid":{"rendered":"https:\/\/superpahal.com\/blog\/?p=406"},"modified":"2026-08-27T14:15:34","modified_gmt":"2026-08-27T08:45:34","slug":"ssc-cgl-maths-formulas-shortcuts","status":"publish","type":"post","link":"https:\/\/superpahal.com\/blog\/ssc-cgl-maths-formulas-shortcuts\/","title":{"rendered":"SSC CGL Maths Formulas &#038; Shortcuts: Complete Cheat Sheet (All Chapters, PYQ-Based)"},"content":{"rendered":"<div class=\"sp-post\">\n<p>Quantitative Aptitude is where a single remembered formula can save you a full minute \u2014 and in a 15-minute sectional window, minutes are marks. This page is a complete SSC CGL maths cheat sheet: every chapter\u2019s highest-yield formulas and the shortcuts that actually save time, arranged so you can jump to any topic, test yourself, and revise fast. Bookmark it and run through one group a day.<\/p>\n<p style=\"font-size: 0.9em; color: #555;\"><em>Updated: August 2026 \u00b7 Compiled from the SSC CGL Quant syllabus and PYQ trends (2016\u20132025). Formulas are standard; the shortcuts are genuine time-savers, not replacements for understanding the concept.<\/em><\/p>\n<div class=\"sp-answer-box\"><strong>How to use this page:<\/strong> Tap any chapter in the index below to jump to it. Each group ends with a quick self-test (tap a question to reveal the answer) and a \u201cBack to Contents\u201d link, so you can revise in any order. A cheat sheet gets you speed \u2014 but only practice converts these formulas into marks, so pair every revision with a few solved questions.<\/div>\n<div class=\"sp-note\" style=\"border-left: 4px solid #c0392b;\"><strong>\u26a0 An honest note.<\/strong> This is a <em>revision<\/em> tool, not a first-time learning resource. If a formula here is new to you, learn where it comes from before trusting it in the exam \u2014 blindly applied formulas cause silly mistakes. Data Interpretation is included, but it is method-based rather than formula-based, so treat that section as tips.<\/div>\n<p><!-- =================== MASTER INDEX =================== --><\/p>\n<h2 id=\"contents\">Contents \u2014 tap any chapter to jump<\/h2>\n<div class=\"sp-toc-grid\">\n<div class=\"sp-toc-group\">\n<h4>A. Arithmetic Basics<\/h4>\n<ul>\n<li><a href=\"#number-system\">Number System<\/a><\/li>\n<li><a href=\"#simplification\">Simplification &amp; Indices<\/a><\/li>\n<li><a href=\"#percentage\">Percentage<\/a><\/li>\n<li><a href=\"#ratio\">Ratio &amp; Proportion<\/a><\/li>\n<li><a href=\"#average\">Average<\/a><\/li>\n<\/ul>\n<\/div>\n<div class=\"sp-toc-group\">\n<h4>B. Commercial Maths<\/h4>\n<ul>\n<li><a href=\"#profit-loss\">Profit, Loss &amp; Discount<\/a><\/li>\n<li><a href=\"#interest\">SI &amp; CI<\/a><\/li>\n<li><a href=\"#mixture\">Mixture &amp; Alligation<\/a><\/li>\n<li><a href=\"#partnership\">Partnership<\/a><\/li>\n<\/ul>\n<\/div>\n<div class=\"sp-toc-group\">\n<h4>C. Time-Based<\/h4>\n<ul>\n<li><a href=\"#tsd\">Time, Speed &amp; Distance<\/a><\/li>\n<li><a href=\"#trains-boats\">Trains &amp; Boats<\/a><\/li>\n<li><a href=\"#time-work\">Time &amp; Work<\/a><\/li>\n<\/ul>\n<\/div>\n<div class=\"sp-toc-group\">\n<h4>D. Algebra<\/h4>\n<ul>\n<li><a href=\"#identities\">Algebraic Identities<\/a><\/li>\n<li><a href=\"#algebra-basics\">Algebra Basics<\/a><\/li>\n<\/ul>\n<\/div>\n<div class=\"sp-toc-group\">\n<h4>E. Geometry &amp; Mensuration<\/h4>\n<ul>\n<li><a href=\"#geometry\">Geometry<\/a><\/li>\n<li><a href=\"#mensuration-2d\">Mensuration (2D)<\/a><\/li>\n<li><a href=\"#mensuration-3d\">Mensuration (3D)<\/a><\/li>\n<\/ul>\n<\/div>\n<div class=\"sp-toc-group\">\n<h4>F. Trigonometry &amp; DI<\/h4>\n<ul>\n<li><a href=\"#trigonometry\">Trigonometry<\/a><\/li>\n<li><a href=\"#height-distance\">Height &amp; Distance<\/a><\/li>\n<li><a href=\"#di\">Data Interpretation<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<p><!-- =================== GROUP A =================== --><\/p>\n<h2>A. Arithmetic Basics<\/h2>\n<h3 id=\"number-system\">Number System <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula \/ Rule<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>HCF \u00d7 LCM<\/td>\n<td>= Product of the two numbers<\/td>\n<\/tr>\n<tr>\n<td>Sum of first n natural numbers<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">n(n+1)<\/span><span class=\"den\">2<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Sum of first n odd numbers<\/td>\n<td>n<sup>2<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Sum of first n even numbers<\/td>\n<td>n(n+1)<\/td>\n<\/tr>\n<tr>\n<td>Sum of squares (1<sup>2<\/sup>\u2026n<sup>2<\/sup>)<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">n(n+1)(2n+1)<\/span><span class=\"den\">6<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Sum of cubes (1<sup>3<\/sup>\u2026n<sup>3<\/sup>)<\/td>\n<td>[<span class=\"sp-frac\"><span class=\"num\">n(n+1)<\/span><span class=\"den\">2<\/span><\/span>]<sup>2<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Number of factors of N = a<sup>p<\/sup>b<sup>q<\/sup>c<sup>r<\/sup><\/td>\n<td>(p+1)(q+1)(r+1)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"font-size: 0.9em; color: #555;\"><em>Divisibility quick-checks: by 3 \u2192 digit sum divisible by 3; by 4 \u2192 last two digits; by 8 \u2192 last three digits; by 9 \u2192 digit sum; by 11 \u2192 difference of alternate-digit sums divisible by 11.<\/em><\/p>\n<h3 id=\"simplification\">Simplification &amp; Indices<\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Rule<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Order of operations<\/td>\n<td>BODMAS (Brackets, Of, Division, Multiplication, Addition, Subtraction)<\/td>\n<\/tr>\n<tr>\n<td>Product of powers<\/td>\n<td>a<sup>m<\/sup> \u00d7 a<sup>n<\/sup> = a<sup>m+n<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Quotient of powers<\/td>\n<td>a<sup>m<\/sup> \u00f7 a<sup>n<\/sup> = a<sup>m\u2212n<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Power of a power<\/td>\n<td>(a<sup>m<\/sup>)<sup>n<\/sup> = a<sup>mn<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Zero &amp; negative index<\/td>\n<td>a<sup>0<\/sup> = 1 \u00a0;\u00a0 a<sup>\u2212n<\/sup> = <span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">a<sup>n<\/sup><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Surds<\/td>\n<td>\u221a(ab) = \u221aa \u00d7 \u221ab<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"percentage\">Percentage <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>x% of y<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">x<\/span><span class=\"den\">100<\/span><\/span> \u00d7 y<\/td>\n<\/tr>\n<tr>\n<td>Percentage change<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">Change<\/span><span class=\"den\">Original<\/span><\/span> \u00d7 100<\/td>\n<\/tr>\n<tr>\n<td>A is x% more than B \u2192 B is less by<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">x<\/span><span class=\"den\">100+x<\/span><\/span> \u00d7 100 %<\/td>\n<\/tr>\n<tr>\n<td>A is x% less than B \u2192 B is more by<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">x<\/span><span class=\"den\">100\u2212x<\/span><\/span> \u00d7 100 %<\/td>\n<\/tr>\n<tr>\n<td>Two successive changes a% and b%<\/td>\n<td>a + b + <span class=\"sp-frac\"><span class=\"num\">ab<\/span><span class=\"den\">100<\/span><\/span> %<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"font-size: 0.9em; color: #555;\"><em>Learn the fraction table: \u00bd=50%, \u2153=33\u2153%, \u00bc=25%, \u2155=20%, \u2159=16\u2154%, \u215b=12.5%, 1\/9=11&amp;frac19;%. It turns most percentage problems into one-step mental maths.<\/em><\/p>\n<h3 id=\"ratio\">Ratio &amp; Proportion<\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Proportion<\/td>\n<td>a : b = c : d \u21d2 ad = bc<\/td>\n<\/tr>\n<tr>\n<td>Mean proportional between a and b<\/td>\n<td>\u221a(ab)<\/td>\n<\/tr>\n<tr>\n<td>Duplicate \/ sub-duplicate ratio<\/td>\n<td>a<sup>2<\/sup> : b<sup>2<\/sup> \u00a0\/\u00a0 \u221aa : \u221ab<\/td>\n<\/tr>\n<tr>\n<td>Componendo-dividendo<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">a<\/span><span class=\"den\">b<\/span><\/span> = <span class=\"sp-frac\"><span class=\"num\">c<\/span><span class=\"den\">d<\/span><\/span> \u21d2 <span class=\"sp-frac\"><span class=\"num\">a+b<\/span><span class=\"den\">a\u2212b<\/span><\/span> = <span class=\"sp-frac\"><span class=\"num\">c+d<\/span><span class=\"den\">c\u2212d<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"average\">Average<\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Average<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">Sum of terms<\/span><span class=\"den\">Number of terms<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Average of first n natural numbers<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">n+1<\/span><span class=\"den\">2<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Average of consecutive numbers<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">First + Last<\/span><span class=\"den\">2<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Average speed (equal distances at x, y)<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">2xy<\/span><span class=\"den\">x + y<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sp-quiz\">\n<p>\u270e Quick self-test \u2014 Group A<\/p>\n<details>\n<summary>1. What is 35% of 240?<\/summary>\n<p>84.<\/p>\n<\/details>\n<details>\n<summary>2. LCM of two numbers is 48 and HCF is 4. If one number is 12, find the other.<\/summary>\n<p>HCF \u00d7 LCM = product \u2192 4\u00d748 = 192; other = 192\/12 = 16.<\/p>\n<\/details>\n<details>\n<summary>3. Average of the first 10 natural numbers?<\/summary>\n<p>(10+1)\/2 = 5.5.<\/p>\n<\/details>\n<details>\n<summary>4. If two numbers are in ratio 3:5 and their sum is 64, the larger number is?<\/summary>\n<p>64\/8 = 8 \u2192 5\u00d78 = 40.<\/p>\n<\/details>\n<\/div>\n<p class=\"sp-back\"><a href=\"#contents\">\u2191 Back to Contents<\/a><\/p>\n<p><!-- =================== GROUP B =================== --><\/p>\n<h2>B. Commercial Maths<\/h2>\n<h3 id=\"profit-loss\">Profit, Loss &amp; Discount <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Profit \/ Loss<\/td>\n<td>SP \u2212 CP \u00a0\/\u00a0 CP \u2212 SP<\/td>\n<\/tr>\n<tr>\n<td>Profit%<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">Profit<\/span><span class=\"den\">CP<\/span><\/span> \u00d7 100<\/td>\n<\/tr>\n<tr>\n<td>Loss%<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">Loss<\/span><span class=\"den\">CP<\/span><\/span> \u00d7 100<\/td>\n<\/tr>\n<tr>\n<td>SP from CP<\/td>\n<td>CP \u00d7 <span class=\"sp-frac\"><span class=\"num\">100 \u00b1 Profit%\/Loss%<\/span><span class=\"den\">100<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>SP from MP &amp; discount<\/td>\n<td>MP \u00d7 <span class=\"sp-frac\"><span class=\"num\">100 \u2212 D%<\/span><span class=\"den\">100<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Same SP, one at +x%, other at \u2212x%<\/td>\n<td>Always a loss of <span class=\"sp-frac\"><span class=\"num\">x<sup>2<\/sup><\/span><span class=\"den\">100<\/span><\/span> %<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"interest\">Simple &amp; Compound Interest <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Simple Interest<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">P \u00b7 R \u00b7 T<\/span><span class=\"den\">100<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Compound Amount<\/td>\n<td>P(1 + <span class=\"sp-frac\"><span class=\"num\">R<\/span><span class=\"den\">100<\/span><\/span>)<sup>n<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Compound Interest<\/td>\n<td>P[(1 + <span class=\"sp-frac\"><span class=\"num\">R<\/span><span class=\"den\">100<\/span><\/span>)<sup>n<\/sup> \u2212 1]<\/td>\n<\/tr>\n<tr>\n<td>CI \u2212 SI for 2 years<\/td>\n<td>P(<span class=\"sp-frac\"><span class=\"num\">R<\/span><span class=\"den\">100<\/span><\/span>)<sup>2<\/sup><\/td>\n<\/tr>\n<tr>\n<td>CI \u2212 SI for 3 years<\/td>\n<td>P(<span class=\"sp-frac\"><span class=\"num\">R<\/span><span class=\"den\">100<\/span><\/span>)<sup>2<\/sup> \u00d7 (3 + <span class=\"sp-frac\"><span class=\"num\">R<\/span><span class=\"den\">100<\/span><\/span>)<\/td>\n<\/tr>\n<tr>\n<td>Compounded half-yearly<\/td>\n<td>Rate = <span class=\"sp-frac\"><span class=\"num\">R<\/span><span class=\"den\">2<\/span><\/span>, Time = 2n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"mixture\">Mixture &amp; Alligation<\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Alligation rule<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">Cheaper qty<\/span><span class=\"den\">Dearer qty<\/span><\/span> = <span class=\"sp-frac\"><span class=\"num\">Dearer \u2212 Mean<\/span><span class=\"den\">Mean \u2212 Cheaper<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Repeated replacement (n times)<\/td>\n<td>Initial \u00d7 (1 \u2212 <span class=\"sp-frac\"><span class=\"num\">removed<\/span><span class=\"den\">total<\/span><\/span>)<sup>n<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"partnership\">Partnership<\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Profit-sharing ratio<\/td>\n<td>= Ratio of (Capital \u00d7 Time) for each partner<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sp-quiz\">\n<p>\u270e Quick self-test \u2014 Group B<\/p>\n<details>\n<summary>1. Buy at \u20b9400, sell at \u20b9500. Profit%?<\/summary>\n<p>(100\/400)\u00d7100 = 25%.<\/p>\n<\/details>\n<details>\n<summary>2. SI on \u20b91000 at 10% for 2 years?<\/summary>\n<p>1000\u00d710\u00d72\/100 = \u20b9200.<\/p>\n<\/details>\n<details>\n<summary>3. CI \u2212 SI on \u20b95000 at 10% for 2 years?<\/summary>\n<p>P(R\/100)<sup>2<\/sup> = 5000\u00d7(0.1)<sup>2<\/sup> = \u20b950.<\/p>\n<\/details>\n<details>\n<summary>4. Two articles sold at the same price, one at +20%, one at \u221220%. Net result?<\/summary>\n<p>A loss of (20)<sup>2<\/sup>\/100 = 4%.<\/p>\n<\/details>\n<\/div>\n<p class=\"sp-back\"><a href=\"#contents\">\u2191 Back to Contents<\/a><\/p>\n<p><!-- =================== GROUP C =================== --><\/p>\n<h2>C. Time-Based<\/h2>\n<h3 id=\"tsd\">Time, Speed &amp; Distance <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Basic relation<\/td>\n<td>Speed = <span class=\"sp-frac\"><span class=\"num\">Distance<\/span><span class=\"den\">Time<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Unit conversion<\/td>\n<td>km\/h \u2192 m\/s : \u00d7 <span class=\"sp-frac\"><span class=\"num\">5<\/span><span class=\"den\">18<\/span><\/span> \u00a0;\u00a0 m\/s \u2192 km\/h : \u00d7 <span class=\"sp-frac\"><span class=\"num\">18<\/span><span class=\"den\">5<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Average speed (equal distances)<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">2xy<\/span><span class=\"den\">x + y<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Relative speed<\/td>\n<td>Same direction: |a\u2212b| \u00a0;\u00a0 Opposite: a+b<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"trains-boats\">Trains &amp; Boats<\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Train crossing a pole<\/td>\n<td>Time = <span class=\"sp-frac\"><span class=\"num\">Length of train<\/span><span class=\"den\">Speed<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Train crossing a platform<\/td>\n<td>Time = <span class=\"sp-frac\"><span class=\"num\">Train + Platform length<\/span><span class=\"den\">Speed<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Downstream \/ Upstream speed<\/td>\n<td>(b + s) \/ (b \u2212 s), where b = boat, s = stream<\/td>\n<\/tr>\n<tr>\n<td>Boat &amp; stream speed<\/td>\n<td>Boat = <span class=\"sp-frac\"><span class=\"num\">down + up<\/span><span class=\"den\">2<\/span><\/span> ; Stream = <span class=\"sp-frac\"><span class=\"num\">down \u2212 up<\/span><span class=\"den\">2<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"time-work\">Time &amp; Work <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>One day\u2019s work<\/td>\n<td>If A finishes in x days, 1 day\u2019s work = <span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">x<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>A and B together<\/td>\n<td>Time = <span class=\"sp-frac\"><span class=\"num\">xy<\/span><span class=\"den\">x + y<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Work equation<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">M<sub>1<\/sub>D<sub>1<\/sub>H<sub>1<\/sub><\/span><span class=\"den\">W<sub>1<\/sub><\/span><\/span> = <span class=\"sp-frac\"><span class=\"num\">M<sub>2<\/sub>D<sub>2<\/sub>H<sub>2<\/sub><\/span><span class=\"den\">W<sub>2<\/sub><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Pipes &amp; cisterns<\/td>\n<td>Filling = positive rate, Emptying = negative rate<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sp-quiz\">\n<p>\u270e Quick self-test \u2014 Group C<\/p>\n<details>\n<summary>1. Convert 72 km\/h to m\/s.<\/summary>\n<p>72 \u00d7 5\/18 = 20 m\/s.<\/p>\n<\/details>\n<details>\n<summary>2. A does a job in 10 days, B in 15 days. Together they take?<\/summary>\n<p>xy\/(x+y) = 150\/25 = 6 days.<\/p>\n<\/details>\n<details>\n<summary>3. A 200 m train crosses a pole in 10 s. Its speed?<\/summary>\n<p>200\/10 = 20 m\/s (= 72 km\/h).<\/p>\n<\/details>\n<details>\n<summary>4. Boat speed 10 km\/h, stream 2 km\/h. Downstream speed?<\/summary>\n<p>10 + 2 = 12 km\/h.<\/p>\n<\/details>\n<\/div>\n<p class=\"sp-back\"><a href=\"#contents\">\u2191 Back to Contents<\/a><\/p>\n<p><!-- =================== GROUP D =================== --><\/p>\n<h2>D. Algebra<\/h2>\n<h3 id=\"identities\">Algebraic Identities <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Identity<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Expansion<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>(a + b)<sup>2<\/sup><\/td>\n<td>a<sup>2<\/sup> + 2ab + b<sup>2<\/sup><\/td>\n<\/tr>\n<tr>\n<td>(a \u2212 b)<sup>2<\/sup><\/td>\n<td>a<sup>2<\/sup> \u2212 2ab + b<sup>2<\/sup><\/td>\n<\/tr>\n<tr>\n<td>a<sup>2<\/sup> \u2212 b<sup>2<\/sup><\/td>\n<td>(a + b)(a \u2212 b)<\/td>\n<\/tr>\n<tr>\n<td>(a + b)<sup>3<\/sup><\/td>\n<td>a<sup>3<\/sup> + b<sup>3<\/sup> + 3ab(a + b)<\/td>\n<\/tr>\n<tr>\n<td>a<sup>3<\/sup> + b<sup>3<\/sup><\/td>\n<td>(a + b)(a<sup>2<\/sup> \u2212 ab + b<sup>2<\/sup>)<\/td>\n<\/tr>\n<tr>\n<td>a<sup>3<\/sup> \u2212 b<sup>3<\/sup><\/td>\n<td>(a \u2212 b)(a<sup>2<\/sup> + ab + b<sup>2<\/sup>)<\/td>\n<\/tr>\n<tr>\n<td>(a+b+c)<sup>2<\/sup><\/td>\n<td>a<sup>2<\/sup>+b<sup>2<\/sup>+c<sup>2<\/sup> + 2(ab+bc+ca)<\/td>\n<\/tr>\n<tr>\n<td>If a+b+c = 0<\/td>\n<td>a<sup>3<\/sup>+b<sup>3<\/sup>+c<sup>3<\/sup> = 3abc<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"font-size: 0.9em; color: #555;\"><em>Very common in SSC: a + <span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">a<\/span><\/span> = k \u21d2 a<sup>2<\/sup> + <span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">a<sup>2<\/sup><\/span><\/span> = k<sup>2<\/sup> \u2212 2, and a<sup>3<\/sup> + <span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">a<sup>3<\/sup><\/span><\/span> = k<sup>3<\/sup> \u2212 3k.<\/em><\/p>\n<h3 id=\"algebra-basics\">Algebra Basics<\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Rule<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Quadratic roots (sum &amp; product)<\/td>\n<td>For ax<sup>2<\/sup>+bx+c: sum = \u2212<span class=\"sp-frac\"><span class=\"num\">b<\/span><span class=\"den\">a<\/span><\/span>, product = <span class=\"sp-frac\"><span class=\"num\">c<\/span><span class=\"den\">a<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Quadratic formula<\/td>\n<td>x = <span class=\"sp-frac\"><span class=\"num\">\u2212b \u00b1 \u221a(b<sup>2<\/sup>\u22124ac)<\/span><span class=\"den\">2a<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sp-quiz\">\n<p>\u270e Quick self-test \u2014 Group D<\/p>\n<details>\n<summary>1. If a + b = 7 and ab = 12, find a<sup>2<\/sup> + b<sup>2<\/sup>.<\/summary>\n<p>(a+b)<sup>2<\/sup> \u2212 2ab = 49 \u2212 24 = 25.<\/p>\n<\/details>\n<details>\n<summary>2. If a + 1\/a = 3, find a<sup>2<\/sup> + 1\/a<sup>2<\/sup>.<\/summary>\n<p>3<sup>2<\/sup> \u2212 2 = 7.<\/p>\n<\/details>\n<details>\n<summary>3. If a + b + c = 0, then a<sup>3<\/sup> + b<sup>3<\/sup> + c<sup>3<\/sup> = ?<\/summary>\n<p>3abc.<\/p>\n<\/details>\n<details>\n<summary>4. Expand (x + 5)(x \u2212 5).<\/summary>\n<p>x<sup>2<\/sup> \u2212 25.<\/p>\n<\/details>\n<\/div>\n<p class=\"sp-back\"><a href=\"#contents\">\u2191 Back to Contents<\/a><\/p>\n<p><!-- =================== GROUP E =================== --><\/p>\n<h2>E. Geometry &amp; Mensuration<\/h2>\n<h3 id=\"geometry\">Geometry <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Rule<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Angle sum of triangle<\/td>\n<td>180\u00b0 ; exterior angle = sum of two opposite interiors<\/td>\n<\/tr>\n<tr>\n<td>Pythagoras theorem<\/td>\n<td>Hypotenuse<sup>2<\/sup> = Base<sup>2<\/sup> + Perpendicular<sup>2<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Interior angles of an n-sided polygon<\/td>\n<td>(n \u2212 2) \u00d7 180\u00b0<\/td>\n<\/tr>\n<tr>\n<td>Each exterior angle (regular polygon)<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">360\u00b0<\/span><span class=\"den\">n<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Centroid divides a median<\/td>\n<td>In ratio 2 : 1<\/td>\n<\/tr>\n<tr>\n<td>Circle<\/td>\n<td>Angle at centre = 2 \u00d7 angle at circumference; angle in a semicircle = 90\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"mensuration-2d\">Mensuration \u2014 2D <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Shape<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Area<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Other<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Rectangle<\/td>\n<td>l \u00d7 b<\/td>\n<td>Diagonal = \u221a(l<sup>2<\/sup>+b<sup>2<\/sup>)<\/td>\n<\/tr>\n<tr>\n<td>Square<\/td>\n<td>a<sup>2<\/sup><\/td>\n<td>Diagonal = a\u221a2<\/td>\n<\/tr>\n<tr>\n<td>Triangle<\/td>\n<td>\u00bd \u00d7 base \u00d7 height<\/td>\n<td>Heron: \u221a[s(s\u2212a)(s\u2212b)(s\u2212c)]<\/td>\n<\/tr>\n<tr>\n<td>Equilateral triangle<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">\u221a3<\/span><span class=\"den\">4<\/span><\/span> a<sup>2<\/sup><\/td>\n<td>Height = <span class=\"sp-frac\"><span class=\"num\">\u221a3<\/span><span class=\"den\">2<\/span><\/span> a<\/td>\n<\/tr>\n<tr>\n<td>Circle<\/td>\n<td>\u03c0r<sup>2<\/sup><\/td>\n<td>Circumference = 2\u03c0r<\/td>\n<\/tr>\n<tr>\n<td>Rhombus<\/td>\n<td>\u00bd \u00d7 d<sub>1<\/sub> \u00d7 d<sub>2<\/sub><\/td>\n<td>\u2014<\/td>\n<\/tr>\n<tr>\n<td>Trapezium<\/td>\n<td>\u00bd \u00d7 (sum of parallel sides) \u00d7 height<\/td>\n<td>\u2014<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"mensuration-3d\">Mensuration \u2014 3D <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Solid<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Volume<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Surface Area<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Cube<\/td>\n<td>a<sup>3<\/sup><\/td>\n<td>TSA = 6a<sup>2<\/sup>; diagonal = a\u221a3<\/td>\n<\/tr>\n<tr>\n<td>Cuboid<\/td>\n<td>l \u00d7 b \u00d7 h<\/td>\n<td>TSA = 2(lb+bh+hl)<\/td>\n<\/tr>\n<tr>\n<td>Cylinder<\/td>\n<td>\u03c0r<sup>2<\/sup>h<\/td>\n<td>CSA = 2\u03c0rh; TSA = 2\u03c0r(r+h)<\/td>\n<\/tr>\n<tr>\n<td>Cone<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">3<\/span><\/span>\u03c0r<sup>2<\/sup>h<\/td>\n<td>CSA = \u03c0rl; l = \u221a(r<sup>2<\/sup>+h<sup>2<\/sup>)<\/td>\n<\/tr>\n<tr>\n<td>Sphere<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">4<\/span><span class=\"den\">3<\/span><\/span>\u03c0r<sup>3<\/sup><\/td>\n<td>4\u03c0r<sup>2<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Hemisphere<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">2<\/span><span class=\"den\">3<\/span><\/span>\u03c0r<sup>3<\/sup><\/td>\n<td>CSA = 2\u03c0r<sup>2<\/sup>; TSA = 3\u03c0r<sup>2<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sp-quiz\">\n<p>\u270e Quick self-test \u2014 Group E<\/p>\n<details>\n<summary>1. Area of a circle of radius 7 (take \u03c0 = 22\/7).<\/summary>\n<p>22\/7 \u00d7 49 = 154.<\/p>\n<\/details>\n<details>\n<summary>2. Volume of a cube with side 4.<\/summary>\n<p>4<sup>3<\/sup> = 64.<\/p>\n<\/details>\n<details>\n<summary>3. Area of an equilateral triangle with side 4.<\/summary>\n<p>(\u221a3\/4)\u00d716 = 4\u221a3 \u2248 6.93.<\/p>\n<\/details>\n<details>\n<summary>4. Sum of interior angles of a hexagon.<\/summary>\n<p>(6\u22122)\u00d7180\u00b0 = 720\u00b0.<\/p>\n<\/details>\n<\/div>\n<p class=\"sp-back\"><a href=\"#contents\">\u2191 Back to Contents<\/a><\/p>\n<p><!-- =================== GROUP F =================== --><\/p>\n<h2>F. Trigonometry &amp; Data Interpretation<\/h2>\n<h3 id=\"trigonometry\">Trigonometry <span class=\"sp-pyq\">\u2605 PYQ<\/span><\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Basic ratios<\/td>\n<td>sin\u03b8 = <span class=\"sp-frac\"><span class=\"num\">P<\/span><span class=\"den\">H<\/span><\/span>, cos\u03b8 = <span class=\"sp-frac\"><span class=\"num\">B<\/span><span class=\"den\">H<\/span><\/span>, tan\u03b8 = <span class=\"sp-frac\"><span class=\"num\">P<\/span><span class=\"den\">B<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Reciprocals<\/td>\n<td>cosec = <span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">sin<\/span><\/span>, sec = <span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">cos<\/span><\/span>, cot = <span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">tan<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Identity 1<\/td>\n<td>sin<sup>2<\/sup>\u03b8 + cos<sup>2<\/sup>\u03b8 = 1<\/td>\n<\/tr>\n<tr>\n<td>Identity 2<\/td>\n<td>1 + tan<sup>2<\/sup>\u03b8 = sec<sup>2<\/sup>\u03b8<\/td>\n<\/tr>\n<tr>\n<td>Identity 3<\/td>\n<td>1 + cot<sup>2<\/sup>\u03b8 = cosec<sup>2<\/sup>\u03b8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"margin-top: 6px;\"><strong>Standard values<\/strong> (\u03b8 = 0\u00b0, 30\u00b0, 45\u00b0, 60\u00b0, 90\u00b0):<\/p>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">\u03b8<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">0\u00b0<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">30\u00b0<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">45\u00b0<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">60\u00b0<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">90\u00b0<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>sin<\/td>\n<td>0<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">2<\/span><\/span><\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">\u221a2<\/span><\/span><\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">\u221a3<\/span><span class=\"den\">2<\/span><\/span><\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>cos<\/td>\n<td>1<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">\u221a3<\/span><span class=\"den\">2<\/span><\/span><\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">\u221a2<\/span><\/span><\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">2<\/span><\/span><\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td>tan<\/td>\n<td>0<\/td>\n<td><span class=\"sp-frac\"><span class=\"num\">1<\/span><span class=\"den\">\u221a3<\/span><\/span><\/td>\n<td>1<\/td>\n<td>\u221a3<\/td>\n<td>\u221e<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"height-distance\">Height &amp; Distance<\/h3>\n<table>\n<thead>\n<tr>\n<th style=\"background-color: #fffb00; padding: 8px;\">Concept<\/th>\n<th style=\"background-color: #fffb00; padding: 8px;\">Rule<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Core relation<\/td>\n<td>tan(angle of elevation) = <span class=\"sp-frac\"><span class=\"num\">Height<\/span><span class=\"den\">Horizontal distance<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Angle of depression<\/td>\n<td>Equals the angle of elevation from the lower point (alternate angles)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"di\">Data Interpretation (tips, not formulas)<\/h3>\n<ul>\n<li>Read the title, units and legend <em>before<\/em> the questions \u2014 half of DI errors come from misreading the axis.<\/li>\n<li>Most DI is just percentage, ratio and average applied to a table or chart \u2014 the earlier chapters <em>are<\/em> the toolkit.<\/li>\n<li>Approximate first. If options are far apart, a rounded estimate answers the question without full calculation.<\/li>\n<\/ul>\n<div class=\"sp-quiz\">\n<p>\u270e Quick self-test \u2014 Group F<\/p>\n<details>\n<summary>1. Value of sin 30\u00b0 + cos 60\u00b0.<\/summary>\n<p>\u00bd + \u00bd = 1.<\/p>\n<\/details>\n<details>\n<summary>2. sin<sup>2<\/sup>\u03b8 + cos<sup>2<\/sup>\u03b8 = ?<\/summary>\n<p>1.<\/p>\n<\/details>\n<details>\n<summary>3. What is tan 45\u00b0?<\/summary>\n<p>1.<\/p>\n<\/details>\n<details>\n<summary>4. If tan\u03b8 = 1 (0\u00b0\u201390\u00b0), then \u03b8 = ?<\/summary>\n<p>45\u00b0.<\/p>\n<\/details>\n<\/div>\n<p class=\"sp-back\"><a href=\"#contents\">\u2191 Back to Contents<\/a><\/p>\n<p><!-- =================== STRATEGY + CROSS-LINKS =================== --><\/p>\n<h2 id=\"how-to-use\">How to actually revise this cheat sheet<\/h2>\n<ul>\n<li><strong>One group a day.<\/strong> Read the tables, then close them and do the self-test from memory.<\/li>\n<li><strong>Write, don\u2019t just read.<\/strong> Copying a formula once by hand fixes it better than reading it ten times.<\/li>\n<li><strong>Attach one PYQ to each formula.<\/strong> A formula you\u2019ve used in a real question sticks; one you\u2019ve only stared at fades.<\/li>\n<li><strong>Keep a \u201cleaky formula\u201d list.<\/strong> The three or four you keep forgetting deserve a sticky note, not another full re-read.<\/li>\n<\/ul>\n<div class=\"sp-cta\">\n<p><strong>Formulas only pay off under the clock.<\/strong> Take a free SSC CGL sectional mock in the exact 2026 pattern \u2014 the Quant section shows which formulas you recall instantly and which ones slow you down, so your revision targets the right chapters.<\/p>\n<p><a class=\"sp-btn\" href=\"https:\/\/superpahal.com\/academy\/event\/ssc-cgl-2025-free-mock-test-sectional\">Start a Free Sectional Mock \u2192<\/a><\/p>\n<\/div>\n<h2 id=\"faq\">Frequently asked questions<\/h2>\n<p><strong>Q1. How many maths questions come in SSC CGL Tier-1?<\/strong><br \/>\nThe Quantitative Aptitude section has 25 questions for 50 marks in Tier-1. This is fixed and official.<\/p>\n<p><strong>Q2. Which maths chapters are most important for SSC CGL?<\/strong><br \/>\nPercentage, profit &amp; loss, interest, time-speed-distance, time &amp; work, algebra, geometry, mensuration and trigonometry appear most frequently. They are marked with a \u2605 PYQ flag on this page.<\/p>\n<p><strong>Q3. Are formulas enough to clear SSC CGL maths?<\/strong><br \/>\nNo. Formulas give speed, but only regular practice turns them into marks. Use this sheet for revision, alongside solving previous-year questions.<\/p>\n<p><strong>Q4. What is the level of maths in SSC CGL?<\/strong><br \/>\nRoughly Class-10 standard. The challenge is speed and accuracy under the sectional clock rather than difficulty of concepts.<\/p>\n<p><strong>Q5. Does maths appear in SSC CGL Tier-2?<\/strong><br \/>\nYes, and with more weight. Tier-2 Paper-1 has a large Quantitative Aptitude module, so mastering these formulas now pays off in both tiers.<\/p>\n<p><strong>Q6. How do I stop forgetting formulas?<\/strong><br \/>\nRevise a little every day rather than all at once, write formulas by hand, and always link each one to a question you\u2019ve solved. Spaced repetition beats cramming.<\/p>\n<p><strong>Q7. Is a calculator allowed in SSC CGL?<\/strong><br \/>\nNo. All calculation is mental or on rough sheets, which is exactly why shortcuts and the fraction-to-percentage table matter so much.<\/p>\n<hr \/>\n<p><strong>Related reading:<\/strong> <a href=\"https:\/\/superpahal.com\/blog\/ssc-cgl-static-gk-one-liner-facts\">SSC CGL Static GK \u2014 One-Liner Mega List<\/a> \u00b7 <a href=\"https:\/\/superpahal.com\/blog\/ssc-cgl-2026-reasoning-syllabus\">Reasoning Syllabus<\/a> \u00b7 <a href=\"https:\/\/superpahal.com\/blog\/ssc-cgl-2026-english-syllabus\">English Syllabus<\/a> \u00b7 <a href=\"https:\/\/superpahal.com\/blog\/ssc-cgl-2026-general-awareness-complete-guide\">General Awareness Guide<\/a><br \/>\n<!-- TODO (Ved): (1) add the Quantitative Aptitude \/ Maths *syllabus* post link here once you confirm its live slug \u2014 this cheat sheet is its natural companion. (2) add the Hindi-twin link once a Hindi maths-formula page is published (avoid a 404). --><\/p>\n<\/div>\n<p><!-- ============= FAQPage JSON-LD (do NOT open Visual editor after pasting) ============= --><br \/>\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"inLanguage\": \"en\",\n  \"mainEntity\": [\n    {\n      \"@type\": \"Question\",\n      \"name\": \"How many maths questions come in SSC CGL Tier-1?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"The Quantitative Aptitude section has 25 questions for 50 marks in Tier-1. This is fixed and official.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Which maths chapters are most important for SSC CGL?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Percentage, profit and loss, interest, time-speed-distance, time and work, algebra, geometry, mensuration and trigonometry appear most frequently in previous-year papers.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Are formulas enough to clear SSC CGL maths?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"No. Formulas give speed, but only regular practice turns them into marks. Use a formula sheet for revision alongside solving previous-year questions.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"What is the level of maths in SSC CGL?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Roughly Class-10 standard. The challenge is speed and accuracy under the sectional clock rather than difficulty of concepts.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Does maths appear in SSC CGL Tier-2?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Yes, and with more weight. Tier-2 Paper-1 has a large Quantitative Aptitude module, so mastering these formulas pays off in both tiers.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"How do I stop forgetting maths formulas?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Revise a little every day rather than all at once, write formulas by hand, and link each one to a question you have solved. Spaced repetition beats cramming.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Is a calculator allowed in SSC CGL?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"No. All calculation is mental or on rough sheets, which is why shortcuts and the fraction-to-percentage table matter so much.\"\n      }\n    }\n  ]\n}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The most complete SSC CGL maths formula cheat sheet \u2014 every chapter from number system to trigonometry, with the highest-yield formulas, shortcuts and self-tests, all in one place.<\/p>\n","protected":false},"author":2,"featured_media":105,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17,28,29],"tags":[115,113,111,39,114,34,9,52],"class_list":["post-406","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ssc-cgl","category-study-strategy-plans","category-subject-wise-preparation","tag-cheat-sheet","tag-maths-formulas","tag-pyq","tag-quantitative-aptitude","tag-shortcuts","tag-ssc-cgl","tag-ssc-cgl-2026","tag-ssc-cgl-maths"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>SSC CGL Maths Formulas &amp; 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