Complete 10th Maths Formulas List — All Chapters with Downloadable PDF
Your Complete Formula Reference for 10th Maths
Maths formulas are the foundation of problem-solving. This comprehensive guide organizes all important formulas by chapter for quick reference during revision. Use this sheet 2 weeks before exams for rapid recall building.
Algebra Formulas (Chapters 1-5)
Quadratic Equation
x = [-b ± √(b² – 4ac)] / 2a
Discriminant: Δ = b² – 4ac
Arithmetic Progression
nth term: aₙ = a + (n-1)d
Sum of n terms: Sₙ = n/2 [2a + (n-1)d]
Geometric Progression
nth term: aₙ = arⁿ⁻¹
Sum of n terms: Sₙ = a(rⁿ – 1)/(r – 1)
Geometry Formulas (Chapters 6-7)
Circle
Area = πr²
Circumference = 2πr
Arc length = (θ/360°) × 2πr
Triangle
Area = (1/2) × base × height
Heron’s formula: A = √[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2
Trigonometry Formulas (Chapters 8-9)
Basic Ratios
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
Identities
sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = cosec²θ
Standard Values
sin 0° = 0, sin 30° = 1/2, sin 45° = 1/√2, sin 60° = √3/2, sin 90° = 1
Mensuration Formulas
Surface Areas & Volumes
Cube: SA = 6a², V = a³
Sphere: SA = 4πr², V = (4/3)πr³
Cylinder: SA = 2πrh, V = πr²h
Cone: SA = πrl, V = (1/3)πr²h
Statistics Formulas
Central Tendency
Mean = Σx/n
Median = middle value (when n is odd) or average of two middle values (when n is even)
Mode = most frequently occurring value
How to Use This Formula Sheet
During Learning: Write each formula in your own words. Understand where it comes from.
During Practice: Identify which formula applies to each problem before solving.
Before Exam: Revise this sheet daily for 7 days. By exam day, all formulas should be in your memory.
During Exam: If you forget a formula, try deriving it from basic principles rather than guessing.
Download 10th Maths Formula Sheet PDF
Complete reference with all formulas organized by chapter. Print and revise daily.
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