Maths -Easy?

People who are often called as mathematic genius we basically believe them to be very hard working and think that these people know the short cuts that are related to mathematics.One thing that all the math geniuses know is that there is no substitute for hard work and why only in mathematics, basically to succeed in every subject we need lot of hard work and dedication. So same is the case with mathematics, but mathematics requires some things that many other subjects don’t require. Basically being a student of mathematics at school might have given you really a hard time, but mathematics don’t require just hard work it requires only smart work.

The first and foremost thing that should be kept in mind is to know all the basics of mathematics. As we know mathematics is a subject that you cannot forget as you move to the higher levels in school, mathematics is not about cramming steps it is all about learning and grasping the basics. So focus more on the concept part of mathematics. Knowing the formulas should be done well in advance it can be said as the part of basics so know the formulas well on time and study accordingly.


Third and the most important step is practicing, practice makes a man perfect as they say right!! Practicing is the most important feature in mathematics you cannot cram the steps only practicing will tell you what should be the order to solve the question. These are few basic things for a start to finish in mathematics follow these and hope to achieve good marks with determination and hardwork.

Mathematics - why?

Most of us were always scared of mathematics and we always wondered what could be the use of mathematics in daily life. As a child when we were scared to touch mathematics even we might have in a frustrated way thought of what could be the use of such a tough subject other than calculating daily basis items and money.

Basically mathematics is mostly about calculating things but the advantages and uses are there in many subjects and things. Mathematical use can be divided into two sub types one could be the use in science other could be for the astronomical purposes. Mathematics can give the students strong tools that can help them in their life and can understand their change in work. Mathematics is also important in everyday life as it helps in science, technology, economy, environment development and even in medicine.


Studying mathematics also develops a child’s all round growth it makes the child creative and helps in growing child’s imaginative power. It helps in building up logical thoughts and actions and can help a child to think practically about what the truth is. Today in most of the job the skills are required in mathematics even preference is given to a student who has good mathematical knowledge and know how. The use of mathematics is not limited and can be justified by one of the greatest innovation that is computers which is mainly based on mathematics.

Weights and Measures

Number Prefix Symbol
10 1(0) deka- da
10 2(00) hecto- h
10 3(000) kilo- k
10 6(000000) mega- M
10 9 giga- G
10 12 tera- T
10 15 peta- P
10 18 exa- E
10 21 zeta- Z
10 24 yotta- Y
Number Prefix Symbol
10 -1(0) deci- d
10 -2(00) centi- c
10 -3(000) milli- m
10 -6(0000000) micro-
10 -9 nano- n
10 -12 pico- p
10 -15 femto- f
10 -18 atto- a
10 -21 zepto- z
10 -24 yocto- y

Loan Balance

Loan Balance
Situation: A person initially borrows an amount A and in return agrees to make n repayments per year, each of an amount P. While the person is repaying the loan, interest is accumulating at an annual percentage rate of r, and this interest is compounded n times a year (along with each payment). Therefore, the person must continue paying these installments of amount P until the original amount and any accumulated interest is repayed. This equation gives the amount B that the person still needs to repay after t years.
B = A (1 + r/n)nt - P (1 + r/n)nt - 1
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(1 + r/n) - 1

where
B = balance after t years
A = amount borrowed
n = number of payments per year
P = amount paid per payment
r = annual percentage rate (APR)

Interest and Exponential Growth

Interest and Exponential Growth
The Compound Interest Equation
P = C (1 + r/n) nt
where
P = future value
C = initial deposit
r = interest rate (expressed as a fraction: eg. 0.06)
n = # of times per year interest in compounded
t = number of years invested

Simplified Compound Interest Equation
When interest is only compounded once per yer (n=1), the equation simplifies to:
P = C (1 + r) t
Continuous Compound Interest
When interest is compounded continually (i.e. n --> ), the compound interest equation takes the form:
P = C e rt

fraction = decimal

fraction = decimal
1/1 = 1
1/2 = 0.5
1/3 = 0.3
2/3 = 0.6
1/4 = 0.25
3/4 = 0.75
1/5 = 0.2
2/5 = 0.4
3/5 = 0.6
4/5 = 0.8
1/6 = 0.16
5/6 = 0.83
1/7 = 0.142857
2/7 = 0.285714
3/7 = 0.428571
4/7 = 0.571428
5/7 = 0.714285
6/7 = 0.857142
1/8 = 0.125
3/8 = 0.375
5/8 = 0.625
7/8 = 0.875
1/9 = 0.1
2/9 = 0.2
4/9 = 0.4
5/9 = 0.5
7/9 = 0.7
8/9 = 0.8
1/10 = 0.1
3/10 = 0.3
7/10 = 0.7
9/10 = 0.9
1/11 = 0.09
2/11 = 0.18
3/11 = 0.27
4/11 = 0.36
5/11 = 0.45
6/11 = 0.54
7/11 = 0.63
8/11 = 0.72
9/11 = 0.81
10/11 = 0.90
1/12 = 0.083
5/12 = 0.416
7/12 = 0.583
11/12 = 0.916
1/16 = 0.0625
3/16 = 0.1875
5/16 = 0.3125
7/16 = 0.4375
11/16 = 0.6875
13/16 = 0.8125
15/16 = 0.9375
1/32 = 0.03125
3/32 = 0.09375
5/32 = 0.15625
7/32 = 0.21875
9/32 = 0.28125
11/32 = 0.34375
13/32 = 0.40625
15/32 = 0.46875
17/32 = 0.53125
19/32 = 0.59375
21/32 = 0.65625
23/32 = 0.71875
25/32 = 0.78125
27/32 = 0.84375
29/32 = 0.90625
31/32 = 0.96875

Number Notation-2

1 = I
2 = II
3 = III
4 = IV
5 = V
6 = VI
7 = VII
8 = VIII
9 = IX
10 = X
11 = XI
12 = XII
13 = XIII
14 = XIV
15 = XV
16 = XVI
17 = XVII
18 = XVIII
19 = XIX
20 = XX
21 = XXI
25 = XXV
30 = XXX
40 = XL
49 = XLIX
50 = L
51 = LI
60 = LX
70 = LXX
80 = LXXX
90 = XC
99 = XCIX

Number Notation

SI Prefixes
Number Prefix Symbol
10 1(0) deka- da
10 2(00) hecto- h
10 3(000) kilo- k
10 6(000000) mega- M
10 9 giga- G
10 12 tera- T
10 15 peta- P
10 18 exa- E
10 21 zeta- Z
10 24 yotta- Y
Number Prefix Symbol
10 -1 deci- d
10 -2 centi- c
10 -3 milli- m
10 -6 micro- u (greek mu)
10 -9 nano- n
10 -12 pico- p
10 -15 femto- f
10 -18 atto- a
10 -21 zepto- z
10 -24 yocto- y

Geometry Areas, Volumes, Surface Areas

Areas, Volumes, Surface Areas
] (pi = [pi] = 3.141592...)
[text:Areas]
[text:square] = a^{2}

[text:rectangle] = ab

[text:parallelogram] = bh

[text:trapezoid] = h/2 (b1 + b2)

[text:circle] = pi r 2

[text:ellipse] = pi r1 r2

[text:triangle] = (1/2) b h

[text:equilateral triangle] = (1/4)(3) a^{2}

[text:triangle given SAS] = (1/2) a b sin C

[text:triangle given a,b,c] = [sqrt][s(s-a)(s-b)(s-c)] [text:when] s = (a+b+c)/2 ([text:Heron's formula])

[text:regular polygon] = (1/2) n sin(360°/n) S^{2}
[text:when n = # of sides and S = length from center to a corner]


--------------------------------------------------------------------------------

[text:Volumes]
[text:cube] = a^{3}

[text:rectangular prism] = a b c

[text:irregular prism] = b h

[text:cylinder] = b h = [pi] r^{2} h

[text:pyramid] = (1/3) b h

[text:cone] = (1/3) b h = 1/3 [pi] r^{2} h

[text:sphere] = (4/3) [pi] r^{3}

[text:ellipsoid] = (4/3) pi r1 r2 r3


--------------------------------------------------------------------------------

[text:Surface Areas]
[text:cube] = 6 a^{2}

[text:prism]:
([text:lateral area]) = [text:perimeter](b) L
([text:total area]) = [text:perimeter](b) L + 2b

[text:sphere] = 4 [pi] r^{2}

Algebra Basic Indentites

Basic Identities
Closure Property of Addition
Sum (or difference) of 2 reals equals a real number
Additive Identity

a + 0 = a
Additive Inverse

a + (-a) = 0
Associative of Addition

(a + b) + c = a + (b + c)
Commutative of Addition

a + b = b + a
Definition of Subtraction

a - b = a + (-b)


Closure Property of Multiplication

Product (or quotient if denominator 0) of 2 reals equals a real number
Multiplicative Identity

a * 1 = a
Multiplicative Inverse

a * (1/a) = 1 (a 0)
(Multiplication times 0)

a * 0 = 0
Associative of Multiplication

(a * b) * c = a * (b * c)
Commutative of Multiplication

a * b = b * a
Distributive Law

a(b + c) = ab + ac
Definition of Division

a / b = a(1/b)