SSC CGL Mathematics Cheat Sheet

Key Definitions

• Average: Sum of values / Number of values ✅

• Ratio: Comparison of two quantities ✅

• Percentage: A fraction of 100 ✅

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

• Compound Interest (CI): CI = P(1 + R/100)^T - P ✅

Important Concepts

Trigonometry

• Basic Ratios:

• sin(θ) = opposite/hypotenuse

• cos(θ) = adjacent/hypotenuse

• tan(θ) = opposite/adjacent

• Shortcuts:

• sin(30°) = 1/2, cos(30°) = √3/2, tan(30°) = 1/√3 ✅

Geometry

• Triangles:

• Area = 1/2 base height ✅

• Pythagorean theorem: a² + b² = c² ✅

• Circles:

• Area = πr² ✅

• Circumference = 2πr ✅

Mensuration

• Cube:

• Volume = a³ ✅

• Surface Area = 6a² ✅

• Cylinder:

• Volume = πr²h ✅

• Surface Area = 2πr(h + r) ✅

Key Formulas

• Quadratic Equation: ax² + bx + c = 0 ✅

• Distance: Distance = Speed × Time ✅

• Work: Work = Rate × Time ✅

Common Mistakes to Avoid

Common Mistake: Forgetting to convert time units when calculating speed and distance.

Memory Tricks

Tip: "SOHCAHTOA" —

• S: Sin = Opposite/Hypotenuse

• C: Cos = Adjacent/Hypotenuse

• T: Tan = Opposite/Adjacent

Key Diagrams

Triangle:
     /|
    / |
   /  |
  /   | 
 /____|

Circle:
   , - ~ ~ ~ - ,
 /                 \
|                   |
 \               _ /
    - . _ . -