Learn math through
stories & curiosity
Expert guides for parents, students and math enthusiasts. Algebra to Olympiads — we've got you covered.
Trending Articles
Most-read posts on the blog
Numerical Integration: Methods, Formulas & Error
Monotonic Sequences: Increasing, Decreasing, Convergent
Methods Of Integration: Techniques & Examples
Marginal Cost and Marginal Revenue With Calculus
Logarithmic Differentiation: Formula, Steps & Examples
List of Integrals: Standard Integral Table
Linear Differential Equations: Integrating Factor Method
Limits at Infinity: Rules, Asymptotes & Examples
Limits and Derivatives: Class 11 Foundations
Limit of a Sequence: Definition, Rules & Examples
Limit Of A Function: Definition & Examples
Limit Laws: Rules, Proofs, And Examples
Limit Formulas: Laws And Standard Limits With Examples
Limit Definition of Derivative: First Principles
Limit Comparison Test: Statement, Rules & Examples
Jump Discontinuity: Definition, Examples & How To Find
Numerical Integration: Methods, Formulas & Error
Monotonic Sequences: Increasing, Decreasing, Convergent
Methods Of Integration: Techniques & Examples
Marginal Cost and Marginal Revenue With Calculus
Logarithmic Differentiation: Formula, Steps & Examples
List of Integrals: Standard Integral Table
Linear Differential Equations: Integrating Factor Method
Limits at Infinity: Rules, Asymptotes & Examples
Limits and Derivatives: Class 11 Foundations
Limit of a Sequence: Definition, Rules & Examples
Limit Of A Function: Definition & Examples
Limit Laws: Rules, Proofs, And Examples
Limit Formulas: Laws And Standard Limits With Examples
Limit Definition of Derivative: First Principles
Limit Comparison Test: Statement, Rules & Examples
Jump Discontinuity: Definition, Examples & How To Find
The goal was never to make kids faster at math — it was to make them fall in love with it. Speed is a byproduct of genuine understanding.
Explore by Topic
Dive into the subject you love most
Algebra
Variables, equations, and the language of math
Coefficient - Definition, Types, and Math Examples
A coefficient is the number that multiplies a variable in an algebraic expression — in 3x, the coefficient is 3. This article covers the formal definition, the four types of coefficients, how to identify them in any expression, the rule for variables with no visible number, and the most common mistakes when picking out the coefficient.
Properties of Logarithms - Laws, Formulas, Proofs
The properties of logarithms are seven identities that simplify logarithmic expressions: the product rule (log b(xy) = log b x + log b y), quotient rule (log b(x/y) = log b x - log b y), power rule (log b(xⁿ) = n log b x), change-of-base formula, and three special values (log b 1 = 0, log b b = 1, log b bⁿ = n).
Roots In Polynomial Expressions: Full Guide
Roots in polynomial expressions are the values of x that make the polynomial equal zero, so a root of P(x) is any x with P(x) = 0. A number r is a root exactly when (x - r) is a factor, and by the Fundamental Theorem of Algebra a degree-n polynomial has exactly n roots when you count multiplicity and allow complex numbers.
Geometry
Shapes, proofs, and spatial thinking
Central Angle in Geometry: Definition, Formula, Examples
A central angle in geometry is an angle whose vertex sits at the centre of a circle and whose two sides are radii, and its measure equals the measure of the arc it cuts off. This article covers the definition, the formula in both degrees and radians, the central angle theorem (the central angle is twice an inscribed angle on the same arc), six worked examples, and the common mistakes.
Parallel & Perpendicular Lines: Slope Rules
Parallel and perpendicular lines are two relationships you can read straight off slopes: parallel lines have equal slopes (m₁ = m₂), and perpendicular lines have slopes that multiply to −1 (m₁ · m₂ = -1). This article covers both slope rules, why each works, how to tell lines apart from their equations, the special vertical-line case, and six worked examples.
Linear Pair of Angles: Definition & Axiom
A linear pair of angles is two adjacent angles whose non-common sides form a straight line, so they always add to 180°. This article covers the definition, the linear pair axiom and its converse, how a linear pair differs from supplementary and vertical angles, and six worked examples.
Trigonometry
Angles, waves, and circular harmony
Tan 330 Degrees: Exact Value, Radians & Unit Circle
Tan 330 Degrees equals -1/(√3), the same as -(√3)/3, which is about -0.5774. The angle 330^° is (11π)/6 in radians, it sits in the fourth quadrant, and its reference angle is 30^°. Tangent is negative there, so the answer carries a minus sign.
Tan (a + b) Formula: Proof And Examples
The Tan (a + b) identity gives the tangent of a sum of two angles in terms of their separate tangents: tan(a+b) = (tan a + tan b)/(1 - tan a tan b) It is not tan a + tan b. The denominator is what makes the identity work, and the whole expression is undefined whenever tan a tan b = 1 (because that forces a division by zero, matching tan 90^°).
Trigonometry — Complete Guide to Formulas & Identities
This trigonometry complete guide covers the six trig functions (sin, cos, tan, csc, sec, cot), the unit circle, the four families of identities (Pythagorean, reciprocal, sum-and-difference, double-angle), the six inverse trig functions and the standard derivatives.
Parenting
Raising confident, curious young mathematicians
Math Formulas
Every essential formula, explained and derived
Percentile Formula – Definition, Calculation, Examples
The percentile formula tells you where a value stands in a dataset: P = (number of values below x)/N × 100. This article covers both directions — finding the percentile of a value, and finding the value at a given percentile — with worked examples, the percentile-versus-percentage distinction, and the mistakes that trip students up.
Maths Formulas for Class 10 — Chapter-Wise List
The maths formulas for class 10 span the full board syllabus — real numbers, polynomials, linear and quadratic equations, arithmetic progressions, triangles, coordinate geometry, trigonometry, circles, mensuration, statistics, and probability. This hub lists every formula by chapter, explains where each one comes from, and works one example per cluster so the formulas connect instead of floating loose.
nPr Formula — Permutations, Derivation, Examples
The nPr formula counts how many ordered arrangements of r objects you can make from n distinct objects: ⁿP r = (n!)/((n-r)!). This article derives that formula from the counting principle, defines every symbol, shows where order makes a permutation different from a combination, and works six examples from a simple line-up to a locked-position arrangement.
Math Terms
Crystal-clear definitions with worked examples
Radius of a Circle: Definition, Formula, Examples
The radius of a circle is the distance from its centre to any point on the boundary, and it is exactly half the diameter. This article covers the definition, the three formulas for finding the radius, how it ties to the circle equation, six worked examples, and the common mistakes.
CP Formula — How to Find Cost Price, Examples
The CP formula recovers the cost price of an item from its selling price and a profit or loss: CP = SP - profit, CP = SP + loss, and from a percentage, CP = 100/(100 + profit%) × SP or 100/(100 - loss%) × SP. This article derives all four forms, defines every term, and works six examples plus the percentage mistakes that flip answers.
Isosceles Triangle Formula — Area, Perimeter, Height
The isosceles triangle formula set is: area = 1/2bh (or b/2√(a² - (b²)/4) from the equal side a and base b), perimeter = 2a + b, and height = √(a² - (b²)/4). This article gives each formula, derives the height and area straight from the Pythagorean theorem, works six examples from one-step to a word problem, and clears up the mistakes that cost the most marks.
Help your child go from fearing math to loving it
Live, personalized classes from instructors trained by the World's Fastest Human Calculator. Join 70,000+ students who learn math the curious way.