High School Calculators
207+ free calculators with step-by-step solutions. Search, filter, and solve.
Calculator tools
Full calculators for when you need more than one formula.
GPA Calculator
GPA = Total Grade Points ÷ Total Credits
Calculate grade point average from total grade points and credit hours
Standard Deviation
σ = √(Σ(x - μ)² ÷ n)
Calculate standard deviation of a data set
Variance Calculator
σ² = Σ(x - μ)² ÷ n
Calculate the variance of a data set
Heron's Formula
A = √(s(s-a)(s-b)(s-c)), s = (a+b+c)/2
Find the area of a triangle from its three side lengths
Volume of Cone
V = (1/3)πr²h
Calculate the volume of a cone
Volume of Cylinder
V = πr²h
Calculate the volume of a cylinder
Partner Spotlight
Volume of Sphere
V = (4/3)πr³
Calculate the volume of a sphere
Surface Area of Cone
A = πr(r + l), l = √(r² + h²)
Calculate the total surface area of a cone
Area of Sector
A = (θ / 360) × πr²
Calculate the area of a circle sector from its central angle
Arc Length of a Circle
L = (θ / 360) × 2πr
Calculate the length of a circular arc from its central angle
Quadratic Formula
x = (-b ± √(b² - 4ac)) / 2a
Solve quadratic equations of the form ax² + bx + c = 0
Simultaneous Equations Solver
a₁x + b₁y = c₁ ; a₂x + b₂y = c₂
Solve a pair of linear equations in two variables
Factorial Calculator
n! = n × (n-1) × ... × 2 × 1
Calculate the factorial of a number
Combinations (nCr)
nCr = n! / (r! × (n - r)!)
Count how many ways r items can be chosen from n when order does not matter
Permutations (nPr)
nPr = n! / (n - r)!
Count how many ways r items can be arranged from n when order matters
Z-Score Calculator
z = (x - μ) / σ
Find how many standard deviations a value is from the mean
Partner Spotlight
Probability Calculator
P(A) = Number of favorable outcomes ÷ Total outcomes
Calculate probability of an event
Compound Interest
A = P(1 + r/n)^(nt)
Calculate compound interest
EMI Calculator
EMI = P × r × (1 + r)ⁿ ÷ ((1 + r)ⁿ - 1)
Calculate monthly loan payment (EMI - Equated Monthly Installment)
Profit Margin Calculator
Margin = ((Revenue - Cost) / Revenue) × 100
Calculate profit margin and markup percentage
ROI Calculator
ROI = ((Gain - Cost) / Cost) × 100
Calculate return on investment as a percentage
BMI Calculator
BMI = Weight (kg) ÷ Height (m)²
Calculate Body Mass Index for health assessment
Degrees to Radians
radians = degrees × π / 180
Convert an angle from degrees to radians
Radians to Degrees
degrees = radians × 180 / π
Convert an angle from radians to degrees
Sin Cos Tan Calculator
sin θ, cos θ, tan θ
Find the sine, cosine and tangent of an angle in degrees
Sine Rule
a/sin(A) = b/sin(B)
Solve triangles using the sine rule
Cosine Rule
c² = a² + b² - 2ab cos(C)
Find the length of a side using the cosine rule
Acceleration Formula
a = (v - u) / t
Calculate acceleration from initial and final velocity over time
Force (Newton's Second Law)
F = m × a
Calculate force using mass and acceleration
Ohm's Law
V = I × R
Calculate voltage using current and resistance
Partner Spotlight
Kinetic Energy
KE = ½mv²
Calculate the kinetic energy of a moving object
Work Done Formula
W = F × d
Calculate the work done by a force over a distance
Momentum Formula
p = m × v
Calculate the linear momentum of a moving object
Arithmetic Progression - nth Term
aₙ = a + (n - 1)d
Find the nth term of an arithmetic progression
Arithmetic Progression - Sum
Sₙ = n/2 × [2a + (n - 1)d]
Find the sum of the first n terms of an arithmetic progression
Geometric Progression - nth Term
aₙ = a × r⁽ⁿ⁻¹⁾
Find the nth term of a geometric progression
Geometric Progression - Sum
Sₙ = a(rⁿ - 1) / (r - 1)
Find the sum of the first n terms of a geometric progression
Vector Magnitude
|v| = √(x² + y² + z²)
Calculate the length of a 3D vector
Distance Formula
d = √[(x₂-x₁)² + (y₂-y₁)²]
Calculate the distance between two points
Midpoint Formula
M = ((x₁+x₂)/2, (y₁+y₂)/2)
Find the midpoint between two points
Law of Cosines
c² = a² + b² - 2ab cos(C)
Find the third side of any triangle
Logarithm
log_b(x) = y means b^y = x
Calculate logarithm base 10
Exponential Function
f(x) = a × b^x
Calculate exponential function value
Gravitational Potential Energy
PE = mgh
Calculate gravitational potential energy
Electrical Power
P = V × I
Calculate electrical power
Velocity
v = d/t
Calculate velocity using distance and time
Surface Area of Sphere
SA = 4πr²
Calculate the surface area of a sphere
Surface Area of Cylinder
SA = 2πr² + 2πrh
Calculate the surface area of a cylinder
Partner Spotlight
Limit of a Polynomial
lim[x→a] f(x) — direct substitution for polynomials
Evaluate lim[x→a] (xⁿ + bx + c) by direct substitution (polynomial).
Continuity Check
f continuous at a ⟺ lim[x→a] f(x) = f(a)
Check continuity of f(x) = xⁿ at x = a. Verifies all three conditions for continuity.
Volume of Pyramid
V = (1/3) × l × w × h
Calculate the volume of a rectangular pyramid
Area of Ellipse
A = πab
Calculate the area of an ellipse from its semi-axes
Inverse Trig Calculator
θ = sin⁻¹(x), cos⁻¹(x), tan⁻¹(x)
Find the angle in degrees from a trigonometric ratio
Double Angle Formula (Sine)
sin 2θ = 2 sin θ cos θ
Calculate the sine of a doubled angle
Double Angle Formula (Cosine)
cos 2θ = cos²θ - sin²θ
Calculate the cosine of a doubled angle
Area of Triangle (SAS)
A = ½ab·sin(C)
Find a triangle's area from two sides and the angle between them
Pressure Formula
P = F / A
Calculate pressure from force applied over an area
Torque Formula
τ = F × r
Calculate torque from a force applied at a distance from the pivot
Free Fall Distance
d = ½gt² (g = 9.81 m/s²)
Calculate how far an object falls under gravity in a given time
Wave Speed Formula
v = f × λ
Calculate wave speed from frequency and wavelength
Break-Even Point
BEP = Fixed Costs / (Price - Variable Cost)
Find how many units must be sold to cover all costs
Straight Line Depreciation
Depreciation = (Cost - Salvage) / Useful Life
Calculate yearly depreciation of an asset using the straight line method
Future Value Calculator
FV = PV × (1 + r)ⁿ
Find what an investment will be worth after n years
Present Value Calculator
PV = FV / (1 + r)ⁿ
Find what a future amount is worth in today's money
Family Budget Calculator
Needs 50% + Wants 30% + Savings 20%
Split monthly take-home income into needs, wants and savings using the 50/30/20 budgeting rule
College Savings Calculator
FV = PMT × [((1+r)ⁿ − 1) / r]
Estimate the future value of a monthly college savings contribution with compound growth
Mortgage Calculator
M = L × r(1 + r)ⁿ ÷ ((1 + r)ⁿ − 1) + tax + insurance
Monthly home loan payment including property tax and insurance, from the home price and down payment
SIP Calculator
FV = P × ((1 + i)ⁿ − 1) ÷ i × (1 + i)
Maturity value of a Systematic Investment Plan (fixed monthly investment) at an expected annual return
Fixed Deposit (FD) Calculator
A = P × (1 + r/4)^(4t)
Maturity amount of a fixed deposit with quarterly compounding, as most banks use
Recurring Deposit (RD) Calculator
M = Σ R × (1 + r/4)^(4 × months left ÷ 12)
Maturity value of a recurring deposit — a fixed amount saved every month, compounded quarterly
Inflation Calculator
Future cost = Today's cost × (1 + inflation)ᵗ
What something that costs a given amount today will cost after years of inflation, and how much buying power money loses
Retirement Savings Calculator
FV = S(1 + i)ⁿ + P × ((1 + i)ⁿ − 1) ÷ i
Projected retirement balance from current savings plus a monthly contribution
Savings Goal Calculator
P = Goal × i ÷ ((1 + i)ⁿ − 1)
How much to save each month to reach a target amount by a deadline
BMR Calculator
BMR = 10W + 6.25H − 5A + 5 (men) or − 161 (women)
Basal Metabolic Rate — calories your body burns at complete rest (Mifflin-St Jeor). Sex: 1 = male, 2 = female
Daily Calorie Calculator (TDEE)
TDEE = BMR × activity factor
Calories needed per day to maintain, lose or gain weight. Activity: 1 = sedentary, 2 = light, 3 = moderate, 4 = very active, 5 = athlete. Sex: 1 = male, 2 = female
Body Fat Calculator
Men: 495 ÷ (1.0324 − 0.19077 log(waist − neck) + 0.15456 log(height)) − 450
Body fat percentage from tape measurements (U.S. Navy method). Sex: 1 = male, 2 = female. Hip is only used for women
Logarithm Calculator (Any Base)
log_b(x) = ln(x) ÷ ln(b)
Logarithm of a number to any base using the change-of-base rule
