ABHYAS · CLASS 10 STUDENTS PREPARING FOR CBSE AND STATE BOARD EXAMS

Class 10 Maths कक्षा 10 गणित

Unlimited Class 10 board-exam practice: real numbers, quadratic equations, arithmetic progressions, linear equations, coordinate geometry, trigonometry, heights and distances, probability, statistics, areas related to circles and surface areas and volumes, with hints and worked steps.

Real numbers

HCF and LCM by prime factorisationHCF = product of the smallest powers of common primes. LCM = product of the greatest powers of all primes. For two numbers, HCF × LCM = product.

Pair of linear equations in two variables

Pair of linear equations in two variablesUse substitution or elimination: make one variable’s coefficients equal, subtract to remove it, solve, then back-substitute.

Quadratic equations

Arithmetic progressions

Coordinate geometry

Introduction to trigonometry

Some applications of trigonometry

Heights and distancesDraw the right triangle. tan θ = height ÷ distance; sin θ = height ÷ slant length. Use tan 30° = 1/√3, tan 45° = 1, tan 60° = √3.

Areas related to circles

Area of a sector and length of an arcSector area = (θ/360) × πr². Arc length = (θ/360) × 2πr. Use π = 22/7.

Surface areas and volumes

Surface area and volume of combined solidsAdd the parts that are actually exposed (for surface area) or the volumes of all parts. Use π = 22/7.

Statistics

Probability

Probability with cards, dice and coinsP(E) = favourable outcomes ÷ total outcomes. A deck has 52 cards (4 suits of 13; 12 face cards). Two dice give 36 outcomes.