Basic math formulas, important math formulas, and tips to remember formulas
Mathematics formulas are fixed mathematical rules used to solve problems quickly and accurately. These formulas are important for school education, competitive exams, engineering entrance tests, banking exams, SSC, Railways, NDA, UPSC, and daily calculations. Learning basic math formulas improves problem-solving speed, calculation accuracy, and conceptual understanding.
Mathematics formulas are mainly used in:
Arithmetic
Algebra
Geometry
Mensuration
Trigonometry
Statistics
Below are some of the most important basic math formulas written in clear keyboard-friendly format for easy learning and copy-paste use.
Percentage = (Value / Total Value) × 100
Example:
Percentage = (40 / 50) × 100 = 80%
Profit = Selling Price - Cost Price
Profit% = (Profit / Cost Price) × 100
Loss = Cost Price - Selling Price
Loss% = (Loss / Cost Price) × 100
SI = (P × R × T) / 100
Where:
P = Principal
R = Rate
T = Time
CI = P(1 + R/100)^T - P
Average = Sum of Observations / Number of Observations
Speed = Distance / Time
Distance = Speed × Time
Time = Distance / Speed
a:b = a/b
(a + b)^2 = a^2 + 2ab + b^2
(a - b)^2 = a^2 - 2ab + b^2
(a + b)(a - b) = a^2 - b^2
(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Quadratic Formula:
x = [-b ± √(b^2 - 4ac)] / 2a
Area = Length × Breadth
Perimeter = 2(Length + Breadth)
Area = Side × Side
Perimeter = 4 × Side
Area = (1/2) × Base × Height
Area = πr^2
Circumference = 2πr
Volume = a^3
Volume = Length × Breadth × Height
Volume = πr^2h
CSA = 2πrh
TSA = 2πr(r + h)
sinθ = Perpendicular / Hypotenuse
cosθ = Base / Hypotenuse
tanθ = Perpendicular / Base
tanθ = sinθ / cosθ
sin^2θ + cos^2θ = 1
1 + tan^2θ = sec^2θ
Mean = Sum of Observations / Total Observations
Median = Middle Value
Probability = Favorable Outcomes / Total Outcomes
Instead of memorizing formulas directly, understand how they are derived.
Repeated usage helps formulas stay in long-term memory.
Prepare a separate notebook for formulas and revise regularly.
Short tricks and memory techniques can help remember formulas quickly.
Applying formulas in problems improves retention.
Regular revision prevents forgetting important formulas.
Math formulas help students:
Solve problems faster
Improve exam performance
Build logical thinking
Increase calculation accuracy
Save time during competitive exams
Strong knowledge of basic math formulas is essential for success in academics, competitive examinations, engineering, science, and daily-life calculations.