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160+ Awesome Math Riddles for Kids [With Answers]
(a + b)² Formula — a²+2ab+b², Proof, Examples
Mean, Median, Mode Formula - Differences, Use, and Examples
a³ - b³ Formula — Difference of Cubes, Proof
How to Do Long Division: A Step-by-Step Guide with Examples
a² + b² Formula — Proof, Expansion, Examples
Trigonometry Formulas - Full list
Triangle Formula: Area, Perimeter, and All Types Explained
Maths Formulas for Class 10 — Chapter-Wise List
Quadrilaterals — Types, Properties, and Formulas
Average Formula: Mean Calculation & Examples
Math Tricks: 20 Shortcuts Every Kids Should Know
Tables From 12 To 20 : Charts, Patterns, and How To Learn Them
Trigonometric Table - Sin Cos Tan Values 0-90°
Integration Formulas: Complete List with Examples
100 Mental Maths Questions With Answers (Graded)
160+ Awesome Math Riddles for Kids [With Answers]
(a + b)² Formula — a²+2ab+b², Proof, Examples
Mean, Median, Mode Formula - Differences, Use, and Examples
a³ - b³ Formula — Difference of Cubes, Proof
How to Do Long Division: A Step-by-Step Guide with Examples
a² + b² Formula — Proof, Expansion, Examples
Trigonometry Formulas - Full list
Triangle Formula: Area, Perimeter, and All Types Explained
Maths Formulas for Class 10 — Chapter-Wise List
Quadrilaterals — Types, Properties, and Formulas
Average Formula: Mean Calculation & Examples
Math Tricks: 20 Shortcuts Every Kids Should Know
Tables From 12 To 20 : Charts, Patterns, and How To Learn Them
Trigonometric Table - Sin Cos Tan Values 0-90°
Integration Formulas: Complete List with Examples
100 Mental Maths Questions With Answers (Graded)
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.
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Algebra
Variables, equations, and the language of math
Square Root Of 361: Value 19, Methods And Worked Examples
The square root of 361 is exactly 19 (19.0000), because 19 × 19 = 361. Below: four ways to find it, a ten-second check, and where 361 shows up.
Square Root Of 144: Value , Methods and Examples
The square root of 144 is 12 (12.0000 as a decimal), since 12 × 12 = 144. Inside: four ways to find it, why 144 is called a gross, and worked examples.
Square Root Of 324: Value, Methods And Worked Examples
The square root of 324 is 18 (18.0000 as a decimal), because 18 × 18 = 324. Below: three ways to find it, the negative root, and worked examples.
Geometry
Shapes, proofs, and spatial thinking
Is a Square a Rectangle? Yes — Here's Why
Yes — every square is a rectangle, because a rectangle is defined as a quadrilateral with four right angles, and a square has those four right angles plus the extra condition that all its sides are equal. This article explains the definitions, the quadrilateral family tree, why a square is a special rectangle, why the reverse is not always true, six examples, and the common mistakes.
Geometry Definition: Concepts, Formulas, Shapes & Topics
Geometry is the branch of mathematics that studies points, lines, angles, shapes, and space — how figures are built, measured, and related. This hub maps every geometry topic into ten clusters: foundations (points, lines, planes), angles, parallel lines and transversals, triangles, quadrilaterals and polygons, circles, 3D solids, coordinate geometry, conic sections, and transformations — each linking to a full guide with formulas and worked examples.
Collinear Vectors — Definition, Conditions, Examples
Collinear vectors are vectors that lie along the same line — which means one is always a scalar multiple of the other, a = k,b. This article covers the three tests for collinearity (scalar multiple, equal coordinate ratios, zero cross product), how collinear differs from parallel and coplanar, and worked examples.
Trigonometry
Angles, waves, and circular harmony
Sec 3pi: Exact Value, Unit Circle Proof And Worked Examples
Sec 3pi equals exactly -1 (decimal -1.0000). The angle 3π (540^°) ends on the negative x-axis, where cosine is -1; below are the proof, graph, examples and calculator traps.
Sin 2pi/5: Exact Value √(10 + 2√5)/4 and Proof
Sin 2pi/5 equals (√(10 + 2√5))/4 ≈ 0.9511, the same value as sin 72^°. Below: the golden-ratio proof, the unit circle, why calculators sometimes show 0, examples and mistakes.
Sin 5pi: Exact Value, Unit Circle, Graph And Examples
Sin 5pi = 0 exactly (decimal 0.0000). The angle 5π is coterminal with π, so this guide shows the unit-circle reason, the degree form 900^°, the graph, six examples and three common mistakes.
Parenting
Raising confident, curious young mathematicians
Math Formulas
Every essential formula, explained and derived
Semicircle Formulas — Area, Perimeter, Diameter
The semicircle formulas are: area = 1/2π r², arc length = π r, perimeter = π r + 2r = r(π + 2), and diameter = 2r. This article gives every semicircle formula, why each comes from the full-circle analogue, three worked examples spanning Quick to Stretch, and the single most common mistake students make — forgetting the diameter when computing perimeter.
Mean, Median, Mode Formula - Differences, Use, and Examples
The mean is the average of all values (Σx / n), the median is the middle value when data is ordered, and the mode is the value that appears most often. Use the mean for symmetric data, the median for skewed data with outliers, and the mode for categorical data. For moderately skewed distributions, the three are linked by Karl Pearson's empirical relation: Mode = 3 Median − 2 Mean.
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.
Math Terms
Crystal-clear definitions with worked examples
What is an Irrational Number? Examples & Properties
An irrational number is a real number that cannot be written as a ratio of two integers (p/q form), and its decimal expansion never terminates and never repeats. Common examples include √2, π, e, and the golden ratio φ.
What is An Integer – Types, Examples & Properties
An integer is a whole number - positive, negative, or zero - with no fractional or decimal part, written as the set ℤ = {..., −3, −2, −1, 0, 1, 2, 3, ...}. Integers follow closure, commutative, associative, distributive, identity, and additive inverse properties, and form the foundation for arithmetic, the number line, and all rational numbers.
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.
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