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Vedic Maths vs Abacus: Differences & Where Both Stop
Vedic Maths Multiplication Tricks: What They Can't Do
Nth Term of a GP — Formula and Worked Examples
Matrix Scalar Multiplication - Rules, Properties, Examples
Linear Inequalities — Definition, Rules, and Examples
Inverse Functions — Definition, Steps, Examples
Injective Function — How to Prove It, and Examples
Factorization of Algebraic Expressions - Methods and Examples
Compound Inequality — AND, OR, Solving & Examples
Bijective Function — One-One and Onto, Examples
Arithmetic Progressions — nth Term, Sum, Examples
Algebraic Identities — List, Proofs, and Examples
Algebraic Formula — Definition, List, and Worked Examples
Heights and Distances — Trigonometry Formulas & Examples
Subtraction Property of Equality - Definition & Examples
Log Table: How to Read & Use a Logarithm Table
Vedic Maths vs Abacus: Differences & Where Both Stop
Vedic Maths Multiplication Tricks: What They Can't Do
Nth Term of a GP — Formula and Worked Examples
Matrix Scalar Multiplication - Rules, Properties, Examples
Linear Inequalities — Definition, Rules, and Examples
Inverse Functions — Definition, Steps, Examples
Injective Function — How to Prove It, and Examples
Factorization of Algebraic Expressions - Methods and Examples
Compound Inequality — AND, OR, Solving & Examples
Bijective Function — One-One and Onto, Examples
Arithmetic Progressions — nth Term, Sum, Examples
Algebraic Identities — List, Proofs, and Examples
Algebraic Formula — Definition, List, and Worked Examples
Heights and Distances — Trigonometry Formulas & Examples
Subtraction Property of Equality - Definition & Examples
Log Table: How to Read & Use a Logarithm Table
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
Arithmetic Progressions — nth Term, Sum, Examples
An arithmetic progression (AP) is a sequence where each term increases by a fixed amount called the common difference , like . This article covers the definition, the nth-term formula , both sum formulas, a quick derivation, six worked examples, and the mistakes students make most
Bijective Function — One-One and Onto, Examples
A bijective function is one that is both one-one (injective) and onto (surjective) — every output is reached by exactly one input, with no collisions and nothing left out. This article gives the definition, the two conditions, the one-to-one correspondence idea, the counting formula, the link to inverses, and six worked examples
Compound Inequality — AND, OR, Solving & Examples
A compound inequality joins two inequalities with the word "and" or "or", "and" gives the intersection (values satisfying both), "or" gives the union (values satisfying either). This article shows how to solve and graph each type on a number line, writes the answers in interval notation, and flags where the AND/OR logic most often goes wrong
Geometry
Shapes, proofs, and spatial thinking
Types of Angles — Acute, Right, Obtuse, Reflex
An acute angle measures between and — but it is only one of five named angle types. This article gives a complete reference table for all five (acute, right, obtuse, straight, reflex), with definitions, diagrams, real-world examples, and the common mistakes students make when sorting them.
60 Degrees to Radians — Value, Formula, and Examples
60 degrees equals radians, approximately 1.0472. This article shows the conversion formula (multiply degrees by ), a quick reference table of common angles, where turns up, the step-by-step method, and the mistakes to avoid.
Projection Vector — Formula, Derivation, and Examples
The projection vector of onto is the "shadow" casts along the direction of , given by . This article covers the projection formula and its derivation, the difference between scalar and vector projection, what a negative projection means, and worked examples.
Trigonometry
Angles, waves, and circular harmony
Heights and Distances — Trigonometry Formulas & Examples
Heights and distances is the branch of trigonometry that finds the height of an object or the distance to it using a measured angle and one known length — without ever climbing or pacing it out. This article covers the angle of elevation and angle of depression, the line-of-sight idea, the three-step method, the formulas, and six worked examples on towers, poles, and buildings.
Cos 2pi/3 = −1/2 — Value of cos(2π/3) on Unit Circle
The value of cos 2pi/3 is exactly , which is . In degrees, is , an angle in the second quadrant where cosine is negative. This article shows why on the unit circle, gives a standard-angle reference table in radians and degrees, and clears up the sign slip students hit most.
Cos 2pi = 1 — Value of cos(2π) on the Unit Circle
The value of cos 2pi is exactly . A full rotation of radians (that is ) returns to the starting point, so . This article shows why one complete trip around the unit circle brings cosine back to , gives a standard-angle reference table in radians and degrees, and clears up the slips students hit most.
Parenting
Raising confident, curious young mathematicians
Math Formulas
Every essential formula, explained and derived
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 objects you can make from distinct objects: . 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.
Sum of Arithmetic Sequence Formula — Proof, Examples
The sum of arithmetic sequence formula adds the first terms of an arithmetic progression: . This article derives both forms by the pairing trick, defines every variable, works through six examples from one-step sums to finding from a known total, and clears up the mistakes that cost the most marks.
Math Terms
Crystal-clear definitions with worked examples
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: , , and from a percentage, or . 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 (or from the equal side and base ), perimeter , and height . 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.
What Is a Chord? Definition, Properties & Examples
A chord is a straight line segment whose two endpoints both lie on a curve — most often a circle. This article defines the term, gives the chord-length formulas, lays out the key chord properties, works six examples, and clears up the chord-versus-diameter mix-up that trips students.
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