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

അക്ബറിന്റെ നിർമ്മിതികൾ

അക്ബറിന്റെ നിർമ്മിതികൾ .

കോഡ് - ALFI യ്ക്ക് BP യുണ്ട്.

A - ആഗ്രാ കോട്ട, അഹമ്മദാബാദ് കോട്ട.
L - ലാഹോർ കോട്ട.
F - ഫത്തേപ്പൂർ സിക്രി (ചെങ്കല്ലിലെ ഇതിഹാസം).
I - ഇബാദത്ത് ഘാന (ഫത്തേപൂർ സിക്രിയിലെ ആരാധനാലയം).
B - ബുലന്ദ് ദർവാസ (ഫത്തേപൂർ സിക്രിയുടെ പ്രവേശന കവാടം).
P - പഞ്ച് മഹൽ.

അക്ബറുടെ ശവകുടീരം സ്ഥിതിചെയ്യുന്നത് - സിക്കിന്ദ്ര (ആഗ്ര) .
അക്ബർ ന...

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Time and Work Problems - Shortcut Tricks and Formulas

Problems Type 1: .

A can finish work in X days. .

B can finish work in Y days.

Both can finish in Z days = (X*Y) / (X+Y). .

Problems Type 2: .

Both A and B together can do work in T days.

A can do this work in X days.

then, B can do it in Y days = (X*T) / (X-T) .

Problems Type 3: .

A can finish work in X days.

B can finish work in Y days.

C can finish work in Z days.

Together they can do work in T days = (X*Y*Z)/ [(X*Y)+(Y*Z)+(X*Z)] .

Problems Type 4: .

A can finish work in X days.

B can finish work in Y days.

A*X = B*Y.

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Divisibility Rule

What is the divisibility by 2 Rule?.
Even numbers are multiples of 2. A number is even if ends in 0,2,4,6, or 8.
What is the divisibility by 3 rule?.
A number is divisible by 3 if the sum of its digits is divisible by 3.
372, for instance, is divisible by 3 since sum of its digits (3+7+2) is 12. And 12 is divisible by 3.
What is the divisibility by 4 rule?.
A number is divisible by 4 if the number\'s last two digits are divisible by 4.
9,312, for instance, is divisible by 4 since its last 2 digits are 12. And 12 is divisible by 4.
What is the divisibility by 5 rule?.
A number is divisible by 5 if its last digit is a 0 or 5.
What is the divisibility by 6 rule?.
Since 6 is a multiple of 2 and 3, the rules for divisibility by 6 are a combination of the rule for 2 and the rule for 3.
Divisibility by 8 Rule.
A number passes the test for 8 if the las...

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Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )