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Mathematics formulas quick reference

Natural Numbers:

Numbers which are used for
counting purpose are called natural numbers.
Ex: 1, 2, 3, 4, …………….100, ……………….

Whole Numbers:

Natural numbers including 0 are
called Whole Numbers. Ex: 0, 1, 2, 3, 4, ……………………..


Positive natural numbers, negative natural
numbers along with 0 are called integers.
Ex.: …………………, -4, -3, -2, -1, 0, 1, 2, 3, 4, ……………

Rational Numbers:

Numbers which are in the form
of 𝑝𝑞
(q ≠ 0) where p and q are positive or negative
whole numbers are called rational numbers.
Ex: 12 , 34 , −75 , −
56 …

Even numbers:

numbers which are divisible by 2, eg, 2, 4, 6, 8, …

Odd numbers:

numbers which are not divisible by 2, eg; 1, 3, 5, 7 …

Real numbers:

are made up of all possible rational and irrational numbers.


An integer is a whole number.

prime number:

A prime number is divisible only by itself and by one (1). 1 is not a prime number. It has only two factors. 1 and the number itself

square number:

A square number is the result of multiplying a number by itself.

cube number:

A cube number is the result of multiplying a number by itself three times.

Standard Form:

The number a x 10n
is in standard form when
1≤ a < 10 and n is a positive or negative integer.


Percent means per hundred.

To express one quantity as a percentage of another, first write the first quantity as a fraction of the second and then multiply by 100.
Profit = S.P. – C.P.
Loss = C.P. – S.P.

Speed, Distance and Time:

Distance = speed x time
Speed = Distance/Time

Quadratic Equations:

Quadratic Equations:
An equation in which the highest power of the variable is 2 is called quadratic equation.
We can solve quadratic equation by method of,
a) Factorization
b) Using the quadratic formula
c) Completing the square


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