Tips and Ticks Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )


Tips and Ticks Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )

Important Maths Formulas


(a ± b)2 = a2 ± 2ab + b2


(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)


(a + b + c + d)2 = a2 + b2 + c2 + d2 + 2(ab + ac + ad + bc + bd + cd)


Geometry formulas


Perimeter ( ചുറ്റളവ് )


Perimeter of a square: P=4a

    a: length of one side


Perimeter of a rectangle: P=2(l+w)

    l: length

    w: width


Perimeter of a triangle: P=a+b+c

    a, b, and c: lengths of the 3 sides


Area ( വിസ്തീര്‍ണ്ണം )


Area of a square: A=a2

    a: length of one side


Area of a rectangle: A=wl

    l: length

    w: width


Area of a triangle: A=(b × h)/2

    b: length of the base

    h: length of the height


Area of a trapezoid: A=(b1 + b2) × h/2

    b1 and b2: parallel sides or the bases

    h: length of the height


volume ( വ്യാപ്‌തി )


Volume of a cube: V=a3

    a: length of one side


Volume of a box: v=l × w × h

    l: length

    w: width

    h: height


Volume of a sphere: v=(4/3) × π × r3

    π: 3.14

    r: radius of sphere


Volume of a cylinder: V=πr2h

    π: 3.14

    r: radius of the circle of the base

    h: height of the cylinder


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മിഷൻ ഇന്ദ്രധനുസ് പദ്ധതിയിൽ ഉൾപ്പെടുന്ന 7 രോഗങ്ങൾ

Code: ഇപ്പൊ ഭിക്ഷയ്ക്കു അവിടെ പോഡി  .

ഇപ്പൊ ഭി - ഹെപ്പറ്റൈറ്റിസ് ബി .
ക്ഷ - ക്ഷയം .
അ - അഞ്ചാം പനി .
വി - വില്ലൻ ചുമ .
ടെ - ടെറ്റനസ് .
പോ - പോളിയോ .
ഡി - ഡിഫ്ത്തീരിയ.
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Average calculation

N = the number of terms  .

S = the sum of the numbers in the set.

Average = S/N .


For example.

The marks of a student in five subjects are 96, 94, 92, 87, and 81, then what is the average score of the student?.

N = 5.

S = 96 + 94 + 92 + 87 + 81 = 450.

A = 450/5 = 90.


Another type questions .

1). There are 36 boys and 44 girls in a class. The average score of boys is 40 and girls are 35. Then what will be the average mark? .


Total mark of 36 boys = 36 x 40 = 1440.

Total mark of 44 girls = 35 x 44 = 1540.

Total mark of 80 Students = 1440 + 1540 = 2980 .

Average mark of the class = (2980 / 80).

                 ...

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Handshake Problem

Suppose there are n people in the party. The first person shakes hand with the other (n-1) guests. The second guest shakes hand with the other (n-2) guests. this will continue until the (n-1) th guest shakes hand with the nth guest.

Total number of handshakes is (n-1) + (n-2).. + 3 + 2 + 1. .

= ((n-1)(n))/2 .

For example, 6 people in a party shake hand with other guests. So how many handshakes will be there?.

=((6-1)(6))/2.

=15.

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