Basic Maths formulas For All SSC Exams

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 Here’s a complete list of basic maths formulas useful for SSC exams (CGL, CHSL, MTS, GD, etc.). These are frequently asked in Quantitative Aptitude sections.

🧮 Arithmetic Formulas

1. Percentages

  • Percentage = (Part / Whole) × 100

  • Increase = Original × (1 + r/100)

  • Decrease = Original × (1 - r/100)

2. Profit & Loss

  • Profit = SP - CP

  • Loss = CP - SP

  • Profit% = (Profit / CP) × 100

  • Loss% = (Loss / CP) × 100

  • SP = CP × (1 ± Profit/Loss%)

  • Discount = MP - SP

3. Simple Interest (SI)

  • SI = (P × R × T) / 100

4. Compound Interest (CI)

  • CI = P(1 + R/100)^T – P

  • Difference (CI - SI) for 2 years = P(R²)/100²

5. Ratio & Proportion

  • If a:b = c:d, then ad = bc

  • a:b = a/(a+b), b/(a+b)

📐 Algebra

1. Identities

  • (a + b)² = a² + 2ab + b²

  • (a - b)² = a² - 2ab + b²

  • a² - b² = (a + b)(a - b)

  • (x + a)(x + b) = x² + (a + b)x + ab

2. Quadratic Equation

  • ax² + bx + c = 0

  • Roots = [−b ± √(b² − 4ac)] / 2a

📏 Geometry

1. Triangle

  • Area = ½ × base × height

  • Heron’s Formula = √[s(s−a)(s−b)(s−c)], where s = (a+b+c)/2

  • Pythagoras Theorem = a² + b² = c²

2. Circle

  • Circumference = 2πr

  • Area = πr²

3. Rectangle & Square

  • Area = length × breadth

  • Perimeter = 2(l + b)

  • Square area = a², perimeter = 4a

4. Trapezium

  • Area = ½ × (sum of parallel sides) × height

🔢 Number System

  • Even + Even = Even

  • Odd + Odd = Even

  • Even × Even = Even

  • Odd × Odd = Odd

  • LCM × HCF = Product of two numbers

📊 Mensuration (2D & 3D)

2D Figures

  • Square: Area = a², Perimeter = 4a

  • Rectangle: Area = l × b

  • Circle: Area = πr², Circumference = 2πr

3D Figures

  • Cube: Volume = a³, Surface Area = 6a²

  • Cuboid: Volume = l × b × h

  • Cylinder: Volume = πr²h, Curved Surface Area = 2πrh

  • Cone: Volume = ⅓πr²h, CSA = πrl

  • Sphere: Volume = 4/3πr³, Surface Area = 4πr²

  • Hemisphere: Volume = 2/3πr³, CSA = 2πr²

⏱️ Time & Work / Time, Speed, Distance

Time and Work

  • Work = Rate × Time

  • If A can do a work in x days, A’s 1-day work = 1/x

  • If A is x times as good as B, then A will take 1/x the time B takes

Time, Speed & Distance

  • Speed = Distance / Time

  • Average Speed = (2xy) / (x + y) [for equal distances at speed x and y]

  • Relative Speed = Add speeds (opposite direction), Subtract (same direction)

🧠 Short Tricks You Must Know

  • (x+y)2−(x−y)2=4xy(x + y)^2 - (x - y)^2 = 4xy

  • x3+y3=(x+y)(x2−xy+y2)x^3 + y^3 = (x + y)(x^2 - xy + y^2)

  • x3−y3=(x−y)(x2+xy+y2)x^3 - y^3 = (x - y)(x^2 + xy + y^2)

  • If a + b + c = 0 → a² + b² + c² = ab + bc + ca

If you want a PDF version of these formulas or a printable sheet, I can generate it for you. Want that?


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