Job preparation Math suggestions

Job preparation mathJob preparation BCS and other job examination guidelines 

Digit it is expressin 

Such as  -a+b, a-b, 6a+5b three expression

because it is at mathematics digits or symbols face of math.। First and third expression (+) symbols and third  (-) added.

Term of the expressions

That part of expression (+) or  (-) stay added by symbols . , It's log off expression য. Such as. a÷b+a-2c+b÷6a×5b . It's four expression okay steb by step a÷b, a,2c and  b÷6a×5b it's four expression : a÷b,a, 2c and b,÷6a×5b.

Co - efficient 

any expression and any digit with into . consider to then adding so it is co- efficient. Cx  expression C. Xp and efficient . Expression of p .such as 3x ,8xy, 4a✓ etc. One expressin 3 8 4।
* Simply stay in one expressin, then one expressin. Such as. 6ab
* if it Between expressin. Such as        6ab+5c
* If stay in third expression then three expression. Such as :6ab+5c+d.
*If stay three in one so it uncountable expression . Such as: 6ab+5c+d+ef.

               (sq.formulation )

(a+b)✓=a✓+2ab+b✓=(a+b)✓-4ab
(a-b)=a✓-2ab+b✓=(a-b)✓+4ab
ab=1/2{(a+b)✓-(a-b)✓
a✓+b✓=(a+b)✓-2ab=(a-b)✓+2ab=1/2{(a+b)✓+(a-b)✓}
a✓-b✓=(a+b)(a-b)
(a+b+c)=a✓+b✓+c✓+2ab+2bc+2ca
             =1/2(a+b+c){(a-b)✓+(b-c)✓+(c-a)✓}
2(ab+bc+ca)=(a+b+c)✓-(a✓+b✓+c✓)

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Example solve it?

1/(a+b)✓ = ?
(a) a✓+b✓.                   (b)a✓-2ab+b✓
✓(c,)a✓+2ab+b✓.           (d)2a+2b
Example = (a+b)✓= a✓+2ab+b,✓
2/ 2x+1 ?
(a) 4x✓4x+2.                     (b)4x✓+2x+1
(c)2x✓+4x+1                     (d)✓4x✓+4x+1
Example:  (2x+1)= (2x)✓+2.2x.1+2✓= 4✓+4x,,+2
3/ 2x+3y ?
 (a) 2x✓+6xy+6y✓.            (b)4x✓+12xy+9y✓
(c)4x✓+6xy+6y✓               (d)2x✓+12xy+6y✓
Example (2x+3y)✓=(2x)✓.2.2x.3y+(3y)✓
                            =4x✓+12xy+9y,✓
4/(a-b)✓ = how it?
(a) (a+b)✓-2ab.                  (b) (a-b)✓+2ab
(c) (a+b)✓-4ab.                  (d) (a+b)+4ab
Example (a-b)✓=a✓-2ab+b✓= ( a+,b)✓-4ab
5/ -2ab+b✓+a✓ = how it?
(a) (a+b)✓                         ✓ (b) (a-b)✓
(c)(b+a)✓.                          ((a✓-b✓)
Example -2ab+,b✓+a✓=a✓-2ab+,b✓=(a-b)✓
6/(a-b)(a-b)= How it?
  a)a✓-b✓                          ✓ b)a✓-2ab+b✓
  c)a✓+2ab+b✓                 d)a✓+b✓
Example (a-b)(a-b) = (a-b)✓=a✓-2ab+b✓
7/ a✓+b✓ = How it?
  a)(a-b)✓+4ab.                ✓ b)(a+b)✓-2ab
c)(a-b)✓-2ab.                     d)a✓-b✓+2ab
Example a✓+b✓= (a✓+2ab+b✓)-2ab=(a+b)✓-2ab
8)2(a✓+b✓)= How it?
a)(a+b)✓-(a-b)✓.                b)(a-b)✓-(a+b)✓
✓c)(a+b)✓+(a-b)✓.                d)(a+b)✓-4ab
9)1/2{(a+b)✓+(a-b)✓}= How it?
a)a✓+b✓.                            b)a✓-b✓
✓c)(a+b)✓/2-(a-b)✓/2 .         d)(a+b)✓+(a-b)✓
Example 2/2{(a+b)✓+(a-b)✓=1/2{(a✓+2ab+b✓)+(a✓-2ab+b✓}
                          .                 =1/2(a✓+2ab+b✓+a✓)
=1/2(2a✓+2b✓)=a✓+b✓
10/ (x+y)-(x-y)=  How it?
   a)x✓.                                    b)y✓
   c)x✓-y✓ .                              d) 2xy.       ✓e)4xy
Example:
(x+y)✓-(x-y)✓= (x+y+x-y)(x+y-x+y)
                       =2x.2y=4xy
12/  between expressin?
  ✓a)(a+b)(a-b).                   b)(a✓+b✓)
c)(a-b)(a-b).                         d)√a+b-√a-b
13/ ab = How it?
a)(a+b)✓/2-(a+b)✓.             ✓b)(a+b)✓/2-(a-b)✓/2
c)a✓+b✓/2-a✓-b✓/2.           d)(a+b)✓+(a-b)✓
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Profits Math formula

Profits math formulaSecondary school education and math learning point ( losses-profits)

1/  buy a object its meaning valued the object.
2/buy more than sell valued .
3/ profits = buy - profits
4/ loss  =buy - sell
5/buy = (buy - profits) or ( buy +loss).
6/  buy = ( buy + profits) or ( buy - losd)
7/ interest of purchase = profits×100/ buy
8/ loss of purchase = losd × 100/buy
9/ invest = buy + cost
10/ Ned p=br;
There p = Ned profits , b = invest ,r= rate of interest
11/ interest and principal money = interest + principal money.
12/ rate of purchase = interest× 100/Time×principal money
13/ interest = p × r × time/100
14/ principal money = i × r / rate of interest × time
                **Invest and profits formulation**
X% rate of simple interest p rate of money  n for year
1/ I = pnr tk. There  I = simple interest
     P= principal money n = time
2/
S = p+1  = p+pnr=p(1+nr)
                           **Circle interest**
X% rate of circle interest  p tk invested n = year.
Principal money c = p(1+r)n
Circle interest  I = (C-P)
C= circle interest
r = rate of interest.

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Set secondary school education Math suggestions

Set formulaSecondary school education learning point set formulation

* x€A  that means -x,A a material of set.
* x¢A  that means - x,A it's not material set.
* A<B  that means A,B  it's subsets.
* A>B that means A,B  exceeding set.
* {} Or ° blank set.
* U  universal set.
* AUB that means A and B conjunction set.
* A cabB that means AওB intersection set.
* A cabB= ° that means A and B Mutually intersection set.
* A\B=A-B that means A  watched set B pleasure set.
* A'=U-B that means A pleasure set.
* P(A) that means A power set
Note: € =belongs to element member of
           U= universal set
           U= union or cap
           Intersection= cap

                    ** Multiple formula**

If it any multiple 1st a, general ratios q so it?
1/ n expressions = aqn-1
2/ n expression of result Sn=a(qn-1)/q-1 [thenq>1]
                    Sn= a(1-qn)/1-q [ then q<1]
3/ eternal multiple expression  ,Sa= a/1-q
                   **Vassal**

Vassal expression 1st a, general  after word d ?
1/ n expression = a+(n-1)d
2/ n expression of result Sn =n/2{2a+(n-1)d}
3/ 1+2+3............…....+n=n( n+1)/2
4/ 1✓+2✓+3✓...........+n✓=n(n+1)(2n+1)/6
5/ 13+23....................+n3(n+1)✓/4
6/ a,b  =1/2 (a+b)
7/ 0/that means  = 0  that number /0 = a(uncountable)

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Secondary school education General Math formula

General math formulaSecondary school education math formula and by heart policy.

(a+b)✓=a✓+2ab+b✓
(a-b)✓=a✓-2ab+b✓
a✓-b✓=(a+b)(a-b)
(a+b)3=a3+3a✓b+b3
(a-b)3=a3-3a✓+3ab✓-b3
a3+b3=(a+b)(a✓-ab+b✓)
a3-b3=(a-b)(a✓+ab+b✓)
(a+b+c)=a✓+b✓+c✓+2(ab+bc+ca)
(x+a)(x-a)=x✓+(a+b)x+ab
(x-a)(x-b)=x✓-(a+b)x-ab
(x+a)(x-b)=x✓+(a-b)x-ab
(x-a)(x+a)=x✓+(b-a)x-ab
a3+b3+c3-3abc=(a+b+c)(a✓+b✓+c✓-ab-bc-ca)

**Formula**
(a+b)✓=(a-b)✓+4ab
(a-b)✓=(a+b)✓-4ab
a✓+b✓=(a+b)✓-2ab
a✓+b✓=(a-b)✓+2ab
a✓+b✓=1/2{(a+b)✓+(a-b)✓}
2(a✓+b✓)=(a+b)✓+(a-b)✓
ab= (a+b/2)✓-(a-b/2)✓
4ab=(a+b)✓-(a-b)✓
a✓+b✓+c✓=(a+b+c)✓-2(ab+bc+ca)
2(ab+bc+ca)=(a+b+c)✓-(a✓+b✓+c✓)
(a+b)3=a3+b3+3ab(a+b)
(a-b)3=a3-b3-3ab(a-b)
a3+b3=(a+b)3-3ab(a+b)
a3-b3 (a-b)3+3ab(a-b)
a3+b3+c3-3abc=1/2(a+b+c){(a-b)✓+(b-c)✓+(x-a)✓}
(a+b+c)=a3+b3+c3+3(a+b)(b+c)(c+a)
a✓+b✓+c✓-ab-bc-ca=1/2{(a-b)✓+(b-c)+(x-a)✓}

Disability secondary school education Math suggestions

DisabilitySecondary school education teaching for Divissility

a Divissility number with divided by another number that's means weare knowing divided number.

Meaning of Divissility

1/ Divissility.
Local of number ০ or will be couple number
Such as -544,4 by Divissility because 44, 4 by Divissility.
545, 4 by undivissility because 45, 4  undivissility.
Number of Divissility: last digits of divided make a numbers 4, this number divided by 4. Such as - 20104,4  because- divided by last three digit such as -  (104),8 Divissility.
20105 ,8 undivissility because - make a  last three digits Such as (105), 8 Divissility.
A number of 5 Divissility . Number of local place 0 or 5 Divissility .
(320 ), 5 Divissility because akak 0.(319),5 But same number of local place 09.
25/Divissility of number: last of number Divissility so 25 Divissility number.make a number by Divissility 25. Its number two 00 that means by Divissility 25. Such as: 98775,25 25. But a last numbers (75),25.31964,25 by Divissility.
But last a number by Divissility 65 25 .
3/ a number will be by disability 3 : Such as  318 ,3 by Divissility but - 3+1+8 =12, that means Divissility.
 319 , 3 Divissility but 3 + 1+9= 13 that means 3 by Divissility

9/ numbers of Divissility 9 Such as ,  288, 9 by Divissility - 2+8+8=18 that means 9 by Divissility .

289,9 undivissility because - 2+8+9=19 that means 3 undivissility.
6/number of Divissility : a numbers of the sum  3 and this number added to 6 by Divissility.
288,6 Divissility 2+8+8=18 that means 3 Divissility couple number.
289,6 Divissility 2+8+9=19 that means 3 undivissility number and couple number.
11/a number of Divissility : Divissility number 11 will be uncople number the sum will be Divissility.
Local system
Divided , visor, and  arrears
Divided: that means divided by expression
Visor: that means a dividend expression by  visor.

(Divissility)

Divided = visor × Quotient
Visor = divided ÷ Quotient
Quotient = divided ÷ visor
(If it is not fector)
Divided = visor × Quotient + Arrear
Visor = (divided- Arrears) ÷ Quotient
Quotient= (divided - Arrear) ÷ visor
                     

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Real Numbers education Math suggestions

Real numbersSecondary school education and teaching course Real Number

Math (Digit): count and balance I used all symbols it's saying all at mathematics digits.
It has to total math digit 10 such as- 0,1,2,3,4,5,6,7,8 and 9 .

(significant digits): 0,1,2,3,4,5,6,7,8 and 9. (signifying the empty place):

0 Number: it also make a same math solutions.

( Intrinsic value / Face Local value): depends any digit use of number value. (place value/ local value) : 

Step by step write several digits then depending her condition it mean place value or  local value of math.
Such as .666 three digits 6 please value 6 but right side 6 local value 6 from right side second and third of please step by step 60 and 600 666 = 100 ×6+10×6+6
Same place of math as a result  change  of  math but as result same it.

(BD system)

Step by step write of math make from right side Now first , second , third, four, five, six, seven, eight, such as:

Akak
dashok
Shatok
Hajar
Ajit
Lakh
Core
5627 digits
Akak: 7
Dashok :2
Shatok:6
Hajar:5 

(Real Numbers): leaders of digits

 zero real numbers 1,0 ,15-9-5/9
Classification of real numbers
1/rational
Plus of number 0- fundamental and unfundamental

Broch
Normal, infarct, impact, and mix point
 Finite, infinite and covered.

2/irrational
Infinite
Bare
Point (Natural Number) such as 1, 2 ,3 ,4, 5
(Integer):  -3 ,-2, -1, 0,1,2,3 etc.

Count of Ruman system

1/ symbols of Ruman
I, II, V,X,
2/ classification of number
1,2,5,10
3/L,C,D,M
৪/ classification of number
50, 100, 500, 1000।
Added a big numbers such as- VI=5+1=6
Before a big numbers of minus Such as- IV=5-1=4
Top of multiple Such as- 10 thousands-x=10×1000=10000।
Symbols of real numbers
+  (pluses) -(Minus) ×  (Multiplication) ÷ (Division)
× consider used of  into/ dot.

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Triangle math formula

Triangle math formulaSecondary school education Triangle math formula

sin=1/cosec
cos=1/sec
tan=1/cot
tan=sin/cos
cosec=1/sin
Sec=1/cos
cot=1/tan
cot=cos/tan

Subtitle

sin=orthographic/Hypotenuse
cos=land/Hypotenuse
tan= orthographic/land
cosec=orthographic/Hypotenuse
sec=orthographic/land
tan=land/ orthographic
sin✓•+cos✓•=1       sin✓•+cos✓•=1
sin✓•=1-cos✓•
Sec✓•-tan✓•=1.     sec✓•=tan✓•-1
sec✓•=1-tan•
cosec✓•-cot✓•=1  cosec✓•=cot✓•-1
cosec✓•=1+cot✓•
loga1 =0
loga a=1
loga(MN)= loga+mlogan
Loga(n/n)=loga-mlogan
loga(Mr)=logmr

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Measurements math formula

Measurements math formula

Secondary school education measurements study for measurements math formula and example

Triangle of Area    = 1/2 land ×h

Right angle of area  = land×bas×h

Equilateral triangle of area  = √3/4a✓

Acute angle of Area = √s(s-a)(a-b)(s-c)

S= half triangle a+b+c/2

Parallelogram of area= (land×h)

Parallelogram of perimeter= 2(length +widths)
Expand of area =(length+widths)

Expand of perimeter = √a✓+b✓

Square if area (1 side)=a✓

Square of area = 4×1 side

Square of perimeter= √a✓+b✓= √2a✓= √2a

Rhombus of area= 1/2× multiple of angle

Rhamnus of perimeter=4×length of one side

Aerial of area =1/2×(added of parallelogram)×distance
Solids body =  length×width×h

Solid body of area = a3

Expand of solids bidy=6a✓

Circle of area= πr✓

Circumstance=2rd

Circle of proportion = 22/7=3.14

Sectorial of circle= °/360πr✓ 

General math formula

General math formula

Secondary school education math formula 

(a+b)✓=a✓+2ab+b✓=(a+b)✓-4ab
(a-b)✓=a✓-2ab-b✓=(a+b)✓+4ab
a✓-b✓=(a+b) (a-b)
a✓+b✓=(a+b)✓-2ab=(a-b)✓+2ab
            =1/2{(a+b)✓+(a-b)✓}
ab      =(a+b/2)✓-(a-b/2)✓
4ab    =(a+b)✓-(a-b)✓
(a+b+c)✓=(a✓+b✓+c✓+2ab+2bc+2ca
(a✓+b✓+c✓)=(a+b+c)✓-2(ab+bc+ca)
2(ab+bc+ca)=(a+b+c)✓-(a✓+b✓+c✓)
(a+b)3=a3+3a✓b+3ab✓+b3
(a-b)3=a3-3a✓b+3ab✓-b3
a3+b3=(a+b)3-3ab(a+b)=(a+b)(a+ab+b✓)
a3-b3=(a-b)3+3ab(a-b)=(a-ab+b✓)

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Interest Math formula

Secondary school education intereste math formula

P        =                    p×rat×time/100

P      =                   100×ti/time×rate
Pi  =            100×pi/(time×r)+100
R          =           100×pi/p×time
Time         =          100×ti/p×rate
Cycle      =        p(1+rate/100) year's
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