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Class 10

Mathematics

52 lessons in 14 chapters, explained in plain words.

Real Numbers

  1. Primes build every number
  2. HCF and LCM from primes
  3. Proving √2 is irrational
  4. Sums and multiples of irrationals

Polynomials

  1. Polynomials and their zeroes
  2. Zeroes on a graph
  3. Zeroes and coefficients
  4. Building a quadratic from its zeroes

Pair of Linear Equations in Two Variables

  1. A pair of linear equations
  2. Solving by drawing
  3. Solving by substitution
  4. Solving by elimination

Quadratic Equations

  1. What makes an equation quadratic
  2. Solving by factorisation
  3. The discriminant

Arithmetic Progressions

  1. What is an AP
  2. Finding a and d
  3. The nth term
  4. AP problems in daily life
  5. Sum of n terms
  6. Using the sum formula

Triangles

  1. Similar figures
  2. The Basic Proportionality Theorem
  3. Proving with proportionality
  4. Similarity criteria
  5. Using similar triangles

Coordinate Geometry

  1. The distance formula
  2. Using the distance formula
  3. The section formula
  4. Ratios and parallelograms

Introduction to Trigonometry

  1. The six trigonometric ratios
  2. One ratio gives all the others
  3. Ratios of 0°, 30°, 45°, 60°, 90°
  4. Trigonometric identities

Some Applications of Trigonometry

  1. Elevation and depression
  2. Two-triangle problems

Circles

  1. Tangents to a circle
  2. Tangents from an outside point
  3. Proving with tangents

Areas Related to Circles

  1. Sectors and arcs
  2. Segments and real problems

Surface Areas and Volumes

  1. Surface area of combined solids
  2. Volume of combined solids

Statistics

  1. Mean of grouped data
  2. Shortcuts for the mean
  3. Mode of grouped data
  4. Cumulative frequency and the median
  5. Using the median; choosing a measure

Probability

  1. Theoretical probability
  2. Complements, impossible and sure events
  3. Two coins, two dice, lengths and areas
  4. Probability problems