Math and Statistics

  • Proportion Solver: a/b = c/d for Any Variable
    Solve the proportion a/b = c/d for any unknown variable using cross-multiplication. Enter three known values and instantly find the missing a, b, c, or d.
  • Quadratic Vertex Calculator
    Find the vertex (h, k) of a parabola from standard form ax²+bx+c. Computes h = −b/(2a), k = c − b²/(4a), axis of symmetry, and direction.
  • Break-Even Point Calculator
    Find the break-even point in units and revenue from fixed cost, selling price, and variable cost per unit. Free linear cost-revenue-profit calculator.
  • Linear System of 3 Unknowns Solver
    Solve a system of 3 linear equations in 3 unknowns (x, y, z) by Gauss-Jordan elimination. Shows the unique solution and the reduced row echelon form.
  • Perpendicular Bisector Equation Calculator
    Find the perpendicular bisector of a segment from two points: midpoint, perpendicular slope, y-intercept and the full line equation in seconds.
  • Midpoint Formula Calculator
    Find the midpoint between two points (x1, y1) and (x2, y2) instantly. Free midpoint formula calculator: Mx = (x1+x2)/2, My = (y1+y2)/2.
  • Unit Rate Calculator
    Free unit rate calculator. Enter quantity A and B to find the rate per single unit (a / b), plus the inverse rate. Great for proportion word problems.
  • Quadratic Axis and Y-Intercept Calculator
    Find the y-intercept and x-intercepts of any quadratic y = ax² + bx + c. Computes the discriminant and tells you if real roots exist.
  • Amplitude, Period & Phase Shift Calculator
    Find amplitude, period, phase shift, and vertical shift of y = a·sin(bx − c) + d. Enter a, b, c, d and get all transformations instantly.
  • Common Difference Calculator
    Find the common difference (d) of an arithmetic sequence from the first term, an n-th term, and its position. Free, instant, with worked steps.
  • Find the Missing Endpoint from Midpoint Calculator
    Find the missing endpoint of a line segment given one endpoint and the midpoint. Solves x2 = 2xm - x1 and y2 = 2ym - y1 instantly.
  • Geometric Sequence Common Ratio Calculator
    Find the common ratio (r) of a geometric sequence by dividing any term by the term before it. Fast, accurate, with worked examples.
  • Complete the Sequence Pattern Calculator
    Find the next number in a sequence. Detects arithmetic (constant difference) or geometric (constant ratio) patterns and extends them automatically.
  • Partial Sum of a Series (Σ) Calculator
    Compute the partial sum Σ from i=m to n of common functions f(i): i, i², i³, linear a·i+b, geometric a·rⁱ, and harmonic 1/i.
  • Remaining Amount After n Half-Lives Calculator
    Calculate how much of a substance remains after a given time using the half-life decay formula N = N₀ · (1/2)^(t/T½). Free, instant, accurate.
  • Standard to Scientific Notation Calculator
    Convert any standard number to scientific notation (a × 10^n) instantly. Get the coefficient and exponent with the correct 1 ≤ |a| < 10 form.
  • Two-Worker Time Together Calculator
    Solve work-rate word problems: if A finishes in a hours and B in b hours, find how long they take working together with t = a·b/(a+b).
  • Find the nth Term Rule of a Sequence Calculator
    Find the nth term of an arithmetic or geometric sequence. Enter your terms, auto-detect the common difference or ratio, and get the nth-term rule.
  • Sum of First n Terms of an Arithmetic Sequence Calculator
    Calculate the sum of the first n terms of an arithmetic sequence from the first term, common difference, and number of terms. Free and instant.
  • Solve for Variable in Quadratic Formula Calculator
    Solve any quadratic equation ax²+bx+c=0 for x using the quadratic formula. Get both roots, the discriminant, and the nature of the solutions instantly.
  • Celsius–Fahrenheit Equation Solver
    Convert between Celsius and Fahrenheit using the exact equation F = 9/5·C + 32 and C = 5/9·(F − 32). Solve either direction instantly.
  • Whole Number to Percentage Calculator
    Find what percent one number is of another. Enter x and y to compute x as a percentage of y using percent = (x / y) × 100. Free and instant.
  • Explicit Formula for an Arithmetic Sequence Calculator
    Find the nth term of an arithmetic sequence using the explicit formula aₙ = a₁ + (n−1)·d. Enter the first term, common difference, and term number.
  • Complex Number Absolute Value (Modulus) Calculator
    Compute the absolute value (modulus or magnitude) of a complex number a + bi using |a + bi| = sqrt(a^2 + b^2). Also shows the argument.

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