SSC Maths Formula PDF – Complete List for Quick Revision

Quantitative Aptitude is often the most time-consuming section in SSC exams. The key to solving questions quickly is having all important formulas at your fingertips. This guide covers essential formulas for Algebra, Geometry, Trigonometry, and Mensuration.

Algebra Formulas

Algebra questions are frequent in Tier 1 and Tier 2. Remember these identities:

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• a² - b² = (a + b)(a - b)
• (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
• a³ + b³ = (a + b)(a² - ab + b²)
• a³ - b³ = (a - b)(a² + ab + b²)
• If x + 1/x = k, then x² + 1/x² = k² - 2
• If x - 1/x = k, then x² + 1/x² = k² + 2

Trigonometry Formulas

Trigonometry relies heavily on identities and value tables.

• sin²θ + cos²θ = 1
• 1 + tan²θ = sec²θ
• 1 + cot²θ = cosec²θ
• sin(90 - θ) = cos θ
• tan(90 - θ) = cot θ
• Values: Remember sin, cos, tan values for 0°, 30°, 45°, 60°, 90°.

Geometry Properties

Geometry is all about theorems.

• Triangle: Sum of angles = 180°. Exterior angle = sum of interior opposite angles.
• Centroid: Divides median in 2:1 ratio.
• Incenter: Intersection of angle bisectors.
• Circumcenter: Intersection of perpendicular bisectors.
• Circle: Angle in a semicircle is 90°. Tangent is perpendicular to radius.

Mensuration (2D & 3D)

Arithmetic Tricks

• Time & Work: Efficiency ∝ 1/Time.
• Speed, Time, Distance: Speed = Distance/Time. Relative speed (Opposite) = S1 + S2.
• SI & CI: SI = PRT/100. CI = P(1 + R/100)ⁿ - P.