SSC CGL Formula: SSC CGL is one of the highly competitive exams, and the Quantitative Aptitude section can be a game-changer. Mastering all the important maths formulas can improve your question-solving speed and accuracy. It can help you excel in all the topics often asked in the exam. It can also simplify your calculation methods and help you solve complex questions. Therefore, candidates should make the most of the formula PDFs when practising the Quant questions. We have compiled below the complete list of SSC CGL Maths Formula for the candidates' reference.
SSC CGL Quant Formula
The SSC CGL Maths Formula is crucial for candidates aiming for high scores. They should practice all those topics with formulas that are repeatedly asked over the years. These strategy can strengthen their concepts and help them handle time-consuming questions. Regular practice of these formulas can also improve their question-selection strategy with speed and accuracy. So, they must make it a habit to go through the PDFs for better preparation. There is a wide range of Quant topics that can be solved easily using the CGL formula PDFs. It includes chapters like the number system, algebra, geometry, etc. The list of a few important SSC Maths Formulas is shared below:
SSC CGL Maths Formula PDF
The SSC CGL Quantitative Aptitude Formula PDF can help you revise all the concepts quickly in the final weeks. It includes Number System, Profit & Loss, Algebra, Geometry, Mensuration, etc. This PDF can solidify your chances of performing well. Get the direct link to download the formula PDFs on this page for top-notch preparation.
SSC CGL Maths Short Tricks
Learning SSC CGL Maths short tricks can help you achieve mastery in the Quant section. This shortcut trick equips you with quick calculation techniques and a pattern-identifying approach. It helps you skip unnecessary steps that make the questions more time-consuming. This can minimise time wastage and enhance your efficiency during the actual exam.
SSC CGL Maths Formulas
The Maths formulas are an important part of the preparation. It enhances your accuracy, confidence and speed. It covers topics like the Number System, Percentage. Ratio & Proportion, Square roots, Averages, Interest, Profit and Loss, Discount, Partnership, Mixture and Alligation, Time and distance, Time & Work, Algebra, Geometry, Mensuration, etc. Using formulas to practice questions daily can improve your weak areas and mistakes.
Also, read:
SSC CGL Mensuration Formula
Mensuration is one of the lengthy sections in SSC CGL Syllabus. The Mensuration formula are discussed below for your reference:
- Area of Rectangle = Length * Breadth
- (Diagonal of Rectangle)2 = (Length)2 * (Breadth)2
- Perimeter of Rectangle = 2 * (Length + Breadth)
- Area of a parallelogram = (Base * Height)
- Area of a rhombus = 1/2 * (Product of Diagonals)
- Area of a Equilateral Triangle = Root of (3) / 4 * (Side)2
- Perimeter of an Equilateral Triangle = 3 * Side
- Area of a Square = (Side)2 = 1/2 * (Diagonal)2
- Circumference of a circle = 2*(22/7)*r
- Area of a circle = (22/7) * r2
- Area of a parallelogram = 2 * root of [s(s - a) * (s - b) * (s-d)]
- Perimeter of Square = 4 * Side
- Area of 4 walls of a room = 2 * (Length + Breadth) * Height
- Whole Surface Area of cube = (6*a2)
- Curved Surface area of Cylinder = 2*(22/7)*r*h
- Total Surface Area of Cylinder = [2*(22/7)*r*h] + {2*(22/7)*r2)
- Diagonal of Cube = Root of (3) * a
- Volume of Cylinder = (22/7) * r2 * h
- Area of an Isosceles Triangle = b/4 * root of 4a2 – b2
- Area of Triangle = 1/2 * Base * Height
- Area of Triangle = root of [s(s - a) * (s - b) * (s-c)]
- Area of Trapezium = 1/2 * (Sum of parallel sides * perpendicular distance between them)
- Volume of Sphere = (4/3) * (22/7) * r3
- Surface Area of Sphere = 4 * (22/7) * r2
- Volume of hemisphere = (2/3) * (22/7) * r3
- Volume of cuboid = (l*b*h)
- Whole Surface of cuboid = 2 * (lb + bh + lh) sq. units
- Diagonal of Cuboid = Root of (l2 + b2 + h2)
- Volume of a cube = a3
- Curved Surface area of hemisphere = 2 * (22/7) * r2
- Whole Surface Area of hemisphere = 3 * (22/7) * r2
SSC CGL Maths Formula for Trigonometry
Trigonometry formulas in SSC CGL are crucial for solving complex questions easily. Some of its crucial formulas are listed below.
Trigonometric functions and identities are derived:
- sin θ = Opposite Side/Hypotenuse
- tan θ = Opposite Side/Adjacent Side
- cos θ = Adjacent Side/Hypotenuse
- cosec θ = Hypotenuse/Opposite Side
- sec θ = Hypotenuse/Adjacent Side
- cot θ = Adjacent Side/Opposite Side
Reciprocal Identities:
- cosec θ = 1/sin θ
- tan θ = 1/cot θ
- sec θ = 1/cos θ
- cos θ = 1/sec θ
- cot θ = 1/tan θ
- sin θ = 1/cosec θ
Trigonometry Table
Here is the Trigonometry Table shared below to simplify the candidate’s preparation:
Periodicity Identities (in Radians):
- sin (π/2 – A) = cos A & cos (π/2 – A) = sin A
- sin (3π/2 – A) = – cos A & cos (3π/2 – A) = – sin A
- sin (3π/2 + A) = – cos A & cos (3π/2 + A) = sin A
- sin (π/2 + A) = cos A & cos (π/2 + A) = – sin A
- sin (2π – A) = – sin A & cos (2π – A) = cos A
- sin (π – A) = sin A & cos (π – A) = – cos A
- sin (π + A) = – sin A & cos (π + A) = – cos A
- sin (2π + A) = sin A & cos (2π + A) = cos A
SSC CGL Algebra Formula
Algebra can be one of the highest-scoring sections in SSC CGL Quant if prepared well. Mastering all the formulas can make your preparation more productive. It can help you solve questions accurately and efficiently. Given below are some of its important formulas:
| Basic Algebra Formulas | (a+b)² = a² + 2ab + b² (a-b)² = a² – 2ab + b² a² – b² = (a-b)(a+b) a² + b² = (a-b)² +2ab (a+b+c)² = a²+b²+c²+2ab+2ac+2bc (a-b-c)² = a²+b²+c²-2ab-2ac+2bc (a+b)³ = a³+ 3a²b + 3ab² + b³ (a-b)³ = a³- b³ + 3ab² - 3a²b a³-b³ = (a² + ab + b²)(a - b) a³+b³ = (a² – ab + b²)(a + b) (a+b) (a-b) = a2 – b2 (x + a)(x + b) = x2 + (a + b)x + ab (x + a)(x – b) = x2 + (a – b)x – ab (x – a)(x + b) = x2 + (b – a)x – ab (x – a)(x – b) = x2 – (a + b)x + ab (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – b3 – 3ab(a – b) (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz) x2 + y2 =½ [(x + y)2 + (x – y)2] (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc x3 + y3= (x + y) (x2 – xy + y2) x3 – y3 = (x – y) (x2 + xy + y2) x2 + y2 + z2 -xy – yz – zx = ½ [(x-y)2 + (y-z)2 + (z-x)2] |
| Algebra Formulas Chart | a⁴ – b⁴ = (a² + b²) (a² – b²) a⁵ – b⁵ = (a – b)(a⁴+ a³b + a²b² + ab³ + b⁴ ) a⁵ + b⁵ = (a + b)(a⁴ – a³b + a²b²– ab³ + b⁴ ) a³ + b³+ c³– 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca) (a + b + c+...)² = a²+b²+c²+...+2(ab + bc+....) If n is a natural number, a^n − b^n = (a−b)(a^(n−1) + a^(n−2) b+...+b^(n−2) a + b^(n−1)) If n is even (n=2k), a^n + b^n = (a+b)(a^(n−1) − a^(n−2) b+...+b^(n−2) a − b^(n−1)) If n is odd (n=2k+1), a^n + b^n = (a+b)(a^(n−1) − a^(n−2) b +...−b^(n−2) a + b^(n−1)) (x+y+z)²=x²+y²+z²+2xy+2yz+2xz (x+y−z)²=x²+y²+z²+2xy−2yz−2xz (x−y+z)²=x²+y²+z²−2xy−2yz+2xz (x−y−z)²=x²+y²+z²−2xy+2yz−2xz x³+y³+z³−3xyz=(x+y+z)(x²+y²+z²−xy−yz−xz) (x+a)(x+b)(x+c)=x³+(a+b+c)x²+(ab+bc+ca)x+abc x²+y²+z²−xy−yz−zx=1/2[(x−y)²+(y−z)²+(z−x)²] |
Also, check:
- Current Affairs for SSC
- Static GK Topics and Questions
- Idioms and Phrases for SSC
- Synonyms Antonyms for SSC CGL
SSC CGL Geometry Formulas
Geometry is one of the trickiest and complex sections of SSC CGL Quant. Therefore, you must learn and revise all the formulas to solve challenging questions in less time.
Formulas for 2D Geometry
- Perimeter of a Square = 4 × Side
- Area of a Rectangle = Length × Breadth
- Area of a Triangle = ½ × Base × Height
- Perimeter of a Rectangle = 2 × (Length + Breadth)
- Area of a Square = Side²
- Area of a Circle = A = π × r²
- Area of a Trapezoid = ½ × (Base ₁ + Base ₂ ) × Height
- Circumference of a Circle = 2πr
Formulas for 3D Geometry
- Curved Surface Area of a Cylinder = 2πrh
- Total Surface Area of a Cylinder = 2πr(r + h)
- Volume of a Cylinder = V = πr²h
- Curved Surface Area of a Cone = πrl
- Total Surface Area of a Cone = πr(r + l) = πr[r + √(h² + r²)]
- Volume of a Cone = V = ⅓ × πr²h
- Surface Area of a Sphere = S = 4πr²
- Volume of a Sphere = V = 4/3 × πr³
Formulas for both 2D and 3D Geometry
| SHAPES | FORMULAS |
| Right Triangle | Pythagoras Theorem: base 2 + height 2 = hypotenuse 2 Area = ½ × base × height Perimeter = base + height + hypotenuse |
| Triangle | Perimeter, P = a + b + c Where, a, b, and c are the sides of a triangle. Area, A = ½ base × height |
| Rectangle | Perimeter = 2(l + w) Area = lw Diagonal, d = √(l 2 + w 2 ) Where, l = length of a rectangle w = width of a rectangle |
| Parallelogram | Perimeter, P = 2(a + b) Where, a and b are the sides of a parallelogram Area of parallelogram, A = base × height Height, h = Area/base Base, b = Area/height |
| Trapezium | Area, A = ½(a + b)h Where, a and b are the parallel sides h = distance between two parallel sides |
| Circle | Circumference = 2πr Area = πr 2 Diameter = 2r Where, r = radius of a circle |
| Square | Perimeter, P = 4a Area, A = a 2 Diagonal, d = a√2 Side, a = √A Where, a = side of a square |
| Arc | Arc Length, L = rθ Here, θ is the central angle in radians and r = radius |
| Cube | Area, A = 6a 2 Volume, V = a 3 Edge, a = Volume ⅓ Space diagonal = a√3 Where, a = side of a cube |
| Cuboid | Surface Area, A = 2(lb + bh + hl) Volume, V = lbh Space diagonal, d = √( l 2 + b 2 +h 2 ) Where, l= length b= breadth h= height |
| Cylinder | Total Surface Area, A = 2πrh + 2πr 2 Curved Surface Area, Ac = 2πrh Volume, V = πr 2 h Base Area, Ab = πr 2 Radius, r = √(V/πh) Where, r= radius of a cylinder h= height of a cylinder |
| Cone | Total Surface Area, A = πr(r+l) = πr[r+√(h 2 +r 2 )] Curved Surface Area, A c = πrl Volume, V = ⅓πr 2 h Slant Height, l = √(h 2 +r 2 ) Base Area, A b = πr 2 Where, r= radius of a cone h= height of a cone l = slant height |
| Sphere | Surface Area, A = 4πr 2 Volume, V = ⁴⁄₃πr 3 Diameter = 2r Where, r= radius of a sphere |
Tips to Remember SSC CGL Quantitative Aptitude Formulas
Learning all the essential formulas can help you score high marks in the SSC CGL Quantitative Aptitude section. Check below for the simple tips to remember them:
- Jot down all the formulas for last-minute revision.
- Revise these SSC CGL formulas daily to remember them for a longer period.
- Use these formulas when solving questions to improve your calculation speed.
- Use flashcards to remember complicated formulas.
- Attempt formula quizzes to evaluate your performance under pressure.
Comments
All Comments (0)
Join the conversation