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Revision Note - Math - Number and Algebra

Laws of Logarithm

For any positive real numbers $a$, $b$ and $c$, any rational … Read

Exponential and Logarithm

Measurement of Sound

The relation between the loudness ($D$ dB) of a sound and the … Read

Exponential and Logarithm

Partial Variation

If $y$ is the sum of two parts, one part varies inversely as $x… Read

Math

Percentage Changed

  1. Percentage increase $=\dfrac{\mbox{New value}-\mbox{O
… Read
Math

Profit and Loss

  1. Profit $=$ Selling price $-$ Cost
  2. Profit percentage

    $= \dfr

… Read
Math

Quadratic Formula

For quadratic equation $ax^2+bx+c=0$, where $a$, $b$ and $… Read

Math

Quadratic Inequality

For any real numbers $\alpha$ and $\beta$, $\alpha<\beta$.

  1. If $(x-\
… Read
Inequalities

Remainder Theorem

  1. If $f(x)$ is divided by $(x-a)$, where $a$ is a real number, t
… Read
Math

Square Numbers

The sequence of numbers $1$, $4$, $9$, $16$, $25$, $36$, $49… Read

Math

The Sum and the Product of the Roots

For quadratic equation $ax^2+bx+c=0$, where $a$, $b$ and $… Read

Math

Triangle Numbers

The sequence of numbers $1$, $3$, $6$, $10$, $15$, $21$, $28… Read

Math

Vertex Form of Quadratic Function

For quadratic function $y=ax^2+bx+c$, where $a$, $b$ and $… Read

Math

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Topic Cloud

3D Problems (41) Basic Functions (13) Basic Geometry (68) Binomial Theorem (7) Change of Subject (32) Complex Numbers (16) Coordinates (46) Differentiation (16) Equations of Circle (54) Equations of Straight Line (43) Estimations and Errors (35) Factorization (39) Graph of Functions (3) Inequality (39) Integration (15) Laws of Indices (43) Linear Programming (21) Locus (13) Logarithm (34) Mathematical Induction (7) Matrices (4) Mensuration (98) Numeral System (19) Percentage (42) Polynomials (49) Probability (85) Properties of Circles (56) Quadratic Equations and Functions (57) Rate and Ratio (30) Rational Functions (20) Sequences (66) Simultaneous Linear Equations (27) Statistics (122) System of Linear Equations (3) Transformations (44) Trigonometry (M2) (7) Trigonometry and Its Applications (67) Variations (38) Vectors (3)

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