ICSE Class 10 Maths: Every Formula in One Sheet 2026

Compound Interest

• A = P(1 + r/100)ⁿ
• CI = A - P
• SI = PRT/100
• Diff (CI-SI) for 2 years = P(r/100)²

Quadratic Equations

• ax² + bx + c = 0
• x = (-b ± √(b²-4ac)) / 2a
• D = b²-4ac: D>0 real unequal, D=0 real equal, D<0 no real roots
• Sum of roots = -b/a, Product = c/a

AP and GP

• AP: aₙ = a + (n-1)d, Sₙ = n/2[2a + (n-1)d]
• GP: aₙ = arⁿ⁻¹, Sₙ = a(rⁿ-1)/(r-1) for r>1

Coordinate Geometry

• Distance = √[(x₂-x₁)² + (y₂-y₁)²]
• Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2)
• Section formula: (mx₂+nx₁)/(m+n)
• Slope m = (y₂-y₁)/(x₂-x₁)
• y - y₁ = m(x - x₁) (point-slope form)

Trigonometry

• sin²θ + cos²θ = 1
• 1 + tan²θ = sec²θ
• 1 + cot²θ = cosec²θ
• sin(90-θ) = cosθ, tan(90-θ) = cotθ

Mensuration

• Cylinder: V = πr²h, CSA = 2πrh, TSA = 2πr(r+h)
• Cone: V = ⅓πr²h, CSA = πrl, l = √(r²+h²)
• Sphere: V = 4/3πr³, SA = 4πr²
• Hemisphere: V = ⅔πr³, TSA = 3πr²

Probability & Statistics

• P(E) = favourable/total, 0 ≤ P(E) ≤ 1
• P(E) + P(not E) = 1
• Mean = Σfx/Σf, Median from ogive or formula