O Level Mathematics Revision Notes

Natural Numbers: The natural numbers include whole numbers except 0. E.g. 1,2,3,4,5,6… Integers: Positive natural numbers, negative natural numbers along with 0 are called integers. -1,-2,-3,0,+1,+2,+3… Prime Numbers: A prime number is a number with exactly two factors (i.e. 1 and itself (1×3)) E.g. 2,3,5,7,111,13,17,19,23,29,31… Composite Numbers: Those numbers which …

Set: A set is a collection of objects, things or symbols which are clearly identified. The individual objects in the set are called the elements or members of the set. Elements may be specified in two ways: By listing the elements By description E.g. Listing                                                             Description {2, 4, 6, …

Learn how to measure the Area and Perimeter of 2D figures and Surface Area and Volume of 3D figures. Square: Area:  2 × Length Perimeter:  4(Length) or ( L+L+L+L )   Rectangle: Area:  L×B Perimeter:  2(L+B) or (L+L+B+B)   Triangle: Area: × Base × Height Perimeter: Sum of all three …

In Mathematics, matrices are arrays of numbers arranged in rows and columns. Types of Matrices: Row Matrix: Coloumn Matrix: Special Matrix: Null Matrix (0): Null Matrix is that matrix, that only contains number 0 in it. Diagonal Matrix: Also known as square matrix, in which all element zero except the …

Circle Definitions: Geometrical Properties of Circle: If 2 chords in a circle area congruent, then the 2 angles at the centre of the circle are identical. AB = CD (Equal Chords) ∠ AOB = ∠ COD   The perpendicular bisector of a chord passes through the centre of a circle …

Pythagoras Theoram: For all the right angled triangles “the square on the hypotenuse (c2) is equal to the sum of all the squares on the other two sides (a2 + b2 ). c2 = a2 + b2 Trigonometrical Ratios of Acute Angle: All angles in a right angle triangle are …

The bearing of point B from another point A is: An angle measured north to at A. In a clockwise direction. Written as three- figured number (i.e from 000 to 300 degrees). The bearing of B from A is 050 degree.   Angles Of Elevation and Depression: Angle of Elevation: …

Congurency: Two geometric figures are congurent, if they are of the same shape and size.                                                                       …

Vectors have both magnitude and direction. To Denote A Vector as a: Column Vector: Resultant Vector: Single Letter in bold. i.e  a. Position Vector: Position vectors are also called as end points. Magnitude: To Find the Modulus / Magnitude of a position vector: Addition And Subtraction of Vectors: (Parallelogram Law …