Fundamental Maths



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Contents

Indices


Description: Indices or exponents represent repeated multiplication. They express numbers in Basic Mathematics raised to powers, crucial in algebra, arithmetic, and scientific notation.


Identities


Description: Basic identities are fundamental equations in mathematics essential for algebraic manipulation and problem-solving.


Algebraic Expressions


Description: Algebraic expressions combine numbers, variables, and mathematical operations, representing quantities, relationships, or patterns in concise symbolic form.


Polynomials


Description: Polynomial expressions consist of terms with variables raised to non-negative integer powers, connected by addition, subtraction, and multiplication operations.


L.C.M & G.C.D


Description: LCM (Least Common Multiple) is the smallest multiple shared by two or more numbers. GCD (Greatest Common Divisor) is their largest divisor.


Squares and Square Roots


Description: Square: Result of multiplying a number by itself. Square Root: Number that, when multiplied by itself, equals the given number.


Cubes and Cube Roots


Description: Cube: Result of multiplying a number by itself twice. Cube Root: Number that, when cubed, equals the given number.


Fundamentals of Geometry


Description: Fundamentals of geometry include points, lines, planes, angles, shapes, and spatial relationships, forming the basis for geometric constructions and analysis.


Triangles & its types


Description: Triangles: Polygons with three sides, angles, vertices; types: on side basis - equilateral, isosceles, scalene; on angle basis - acute, obtuse, right.


Triangles (tests of congruency-1)


Description: Congruent figures: Identical in shape and size; SAS (side-angle-side) and ASA (angle-side-angle) are tests of congruency in geometry.


Triangles (tests of congruency-2)


Description: SAA: Side-Angle-Angle; RHS: Right-Hypotenuse-Side; conditions for proving triangle congruence in geometry.


Quadrilaterals


Description: Quadrilaterals: Polygons with four sides and four angles; examples include squares, rectangles, parallelograms, rhombuses, and trapezoids.


Theorem of Pythagoras


Description: Pythagorean theorem states in a right triangle, the square of the hypotenuse equals the sum of the squares of other two sides.


Circle


Description: A circle is a two-dimensional shape consisting of all points in a plane that are equidistant from a fixed center point. It has no edges or corners.


The Arc of a Circle


Description: An arc of a circle is a portion of the circumference, defined by two points on the circle and the continuous curve between them.


Surface Area & Volume


Description: Surface Area: Total area of all surfaces of a 3D object; Volume: Space occupied by the object's interior.


Statistics


Description: Statistics is the study of collecting, analyzing, interpreting, and presenting data to understand patterns and make informed decisions.


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