Free Online Scientific Calculator & Step-by-Step Solver

A fast, browser-based mathematical tool designed to evaluate algebraic formulas, trigonometry problems, and calculus derivatives with immediate step-by-step solutions and 2D coordinate graphs.

Interactive Capabilities

Algebra Mode: Solves linear expressions, inequalities, surd equations, polynomial expansions, and quadratic formulas.
Trigonometry Mode: Computes circular functions (sine, cosine, tangent), reciprocal identities, inverse values, and trigonometric general solutions.
Calculus Mode: Computes analytical first-order derivatives symbolically (including operator notations like D_x and d/dx), evaluates limits, and calculates sigma summations.

Mathematics Paper 1 Official Formula Sheet

Algebra & Quadratic

x = (-b ± √(b² - 4ac)) / (2a)

Δ = b² - 4ac

Arithmetic Series

Tₙ = a + (n - 1)d

Sₙ = n/2 [2a + (n - 1)d]

Geometric Series

Tₙ = a · rⁿ⁻¹

Sₙ = a(rⁿ - 1) / (r - 1) ; r ≠ 1

S_∞ = a / (1 - r) ; -1 < r < 1

Calculus First Principles

f'(x) = lim_{h→0} [f(x + h) - f(x)] / h

d/dx [xⁿ] = n · xⁿ⁻¹

Financial Mathematics

A = P(1 + i)ⁿ | A = P(1 - i)ⁿ

A = P(1 + in) | A = P(1 - in)

Annuities (Future & Present)

F = x [((1 + i)ⁿ - 1) / i]

P = x [(1 - (1 + i)⁻ⁿ) / i]

Probability & Sets

P(A) = n(A) / n(S)

P(A or B) = P(A) + P(B) - P(A and B)

P(A and B) = P(A) · P(B) (Independent)

Counting & Permutations

n! = n(n - 1)(n - 2)...3 · 2 · 1

P(n, r) = n! / (n - r)!

C(n, r) = n! / [r!(n - r)!]