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Mathematics notes

Notes that explain the 'why', not just the formula

Every note starts with the concept, moves to solved examples and ends with the key points you must remember before an exam.

Class 10 8 min read

Real Numbers — Euclid's Division Lemma & HCF

Real Numbers

Understand divisibility, the fundamental theorem of arithmetic and how to find HCF and LCM quickly.

  • a = bq + r where 0 ≤ r < b
  • HCF × LCM = product of the two numbers
  • Proving √2 is irrational using contradiction
Class 10 10 min read

Introduction to Trigonometry — Ratios Made Easy

Introduction to Trigonometry

A simple way to remember all six ratios and the values for 0°, 30°, 45°, 60° and 90°.

  • sin θ = opposite / hypotenuse
  • sin²θ + cos²θ = 1
  • Standard angle value table with a memory trick
Class 9 7 min read

Polynomials — Zeros and Their Meaning

Polynomials

What a zero of a polynomial really means, plus remainder and factor theorems.

  • Degree decides the number of zeros
  • Remainder theorem: p(a) is the remainder
  • Factor theorem with worked examples
Class 8 6 min read

Linear Equations in One Variable

Linear Equations in One Variable

Transposition method explained with 12 solved questions and common mistakes.

  • Balance both sides of the equation
  • Handling brackets and fractions
  • Framing equations from word problems
Class 7 5 min read

Integers — Rules Without Confusion

Integers

Number-line thinking that makes negative numbers finally click.

  • Same signs add, different signs subtract
  • Multiplication and division sign rules
  • Properties: closure, commutative, associative
Class 8 9 min read

Mensuration — All Formulas in One Page

Mensuration

Perimeter, area, surface area and volume formulas with labelled diagrams.

  • Trapezium and polygon area
  • Cube, cuboid and cylinder surface area
  • Unit conversion for volume and capacity