SSC CHSL and CGL Important Math Topics Cheat Sheet

Key Definitions

• Average: Sum of values divided by the number of values. ✅

• Ratio: A comparison of two quantities. ✅

• Percentage: A fraction expressed as a part of 100. ✅

Important Concepts

Trigonometry

• Sine, Cosine, Tangent: Ratios in right triangles.

• Shortcut: sin(θ) = Opposite/Hypotenuse, cos(θ) = Adjacent/Hypotenuse, tan(θ) = Opposite/Adjacent. ✅

Geometry

• Pythagorean Theorem: In a right triangle, a² + b² = c². ✅

Mensuration

• Area of Circle: A = πr² ✅

• Volume of Cylinder: V = πr²h ✅

Key Formulas

• Simple Interest: SI = (P × R × T) / 100 ✅

• P: Principal amount

• R: Rate of interest

• T: Time (years)

• Compound Interest: A = P(1 + r/n)^(nt) ✅

• A: Amount

• n: Number of times interest applied per time period

• t: Time in years

Common Mistakes to Avoid

Common Mistake: Mixing up area and perimeter formulas (e.g., using area formula for perimeter calculations).

Memory Tricks

Tip: "SOHCAHTOA" —

• S: Sine = Opposite/Hypotenuse

• C: Cosine = Adjacent/Hypotenuse

• T: Tangent = Opposite/Adjacent

Key Diagrams

   |\
   | \
 a |  \ c
   |   \
   |____\
      b

• Right triangle representation for Pythagorean theorem. ✅

   ________
  |        |
  |        | h
  |        |
  |________|
      b

• Rectangle representation for area calculation. ✅