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  #1  
Old 25th May 2015, 10:43 AM
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Default Important Formulas For UPCAT

I want to crack the UPCAT with good marks so I am preparing hard for it. Please share the UPCAT Math important Formulas so I will cram them??? If it possible for you then also tell me about the some short cut tips to solve the Math questions also?
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  #2  
Old 8th July 2020, 11:04 AM
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Join Date: Mar 2013
Default Re: Important Formulas For UPCAT

UPCAT Math Formulas

aVn = a1 + (n-1)d

Arithmetic progression: how to solve for the nth term (aVn)
aVn = a1 + (n-1)d

Arithmetic progression: how to solve for the common difference (d)
d = (aVL-aVF) / (L-F)

Arithmetic progression: how to solve for the sum of terms (SVn)
SVn = [(aV1 +aVn) / 2] (n)

Geometric progression: how to solve for the nth term (aVn)
aVn = aV1 (r)^(n-1)

Geometric progression: how to solve for the sum of terms (SVn)
SVn = [aV1 (1-r^n)] / (1-r)

Geometric progression: how to solve for the common ratio (r)
r = (square root of last) / (square root of first)

How to solve for the area of a parallelogram
A = bh

How to solve for the area of a triangle
A = (1/2) bh

How to solve for the volume of a cube
V = s^3

How to get the units digit of a number with a big exponent
1. Take last 2 digits of exponent
2. Divide by 4
3. Get remainder

How to solve for a probability
(number that applies the condition) / (total number of possible outcomes)

How to solve for work problems
[(time of A's actual work)/(time A works alone)] + [(time of B's actual work)/(time B works alone)]


How to solve for the area of an equilateral triangle
A = s^2 (3/4)

How to solve for the area of a rhombus if the measurement of the sides are given
A = bh

How to solve for the area of a rhombus if the measurement of the diagonals are given
A = 1/2 dV1 dV2

How to solve for the surface area of a cube
6s^2

How to solve for the diagonal of a cube
s times the square root of 3

How to solve for the volume of a rectangular box
LWH

How to solve for the surface area of a rectangular box
2LW + 2LH + 2WH

How to solve for the diagonal of a rectangular box
square root of the sum of L^2, H^2, and W^2

How to solve for the volume of a sphere
(4/3) πr^3

How to solve for the surface area of a sphere
4πr^2
How to solve for the volume of a cylinder
πr^2h

How to solve for the surface area of a cylinder
2πr^2 + 2πrh

How to solve for the volume of a cone
(πr^2h)/3

How to convert rad to degrees
* 180/π

How to convert degrees to rad
* π/180

sin^2 θ + _______ = 1
cos^2 θ

_______ + cos^2 θ = 1
sin^2 θ

tan^2 θ +1 = ?
sec^2 θ

1 + cot^2 θ = ?
csc^2 θ

How to solve for the area of a trapezoid
(1/2)(bV1 + bV2)h

Formulas


Last edited by Rajkumar Agarwal; 8th July 2020 at 11:08 AM.
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