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Math Formulae:
actual prof it
percentage profit = original cost ×100
actual loss
percentage loss = original cost ×100

principal×rate×time
simple interest = 100

amount = principal + interest

rate time
amount = principal×(1 + 100 )

distance = speed×time

x2 - y2 = (x + y)(x - y)

-b±b2-4ac…

Page 2

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volume of a prism = base area×height

1
volume of a pyramid = 3 ×base area×height

4
volume of a sphere = 3 × ×radius3

T SA of a sphere = 4 ×radius2

T SA of a hemisphere = 3 ×radius2




Angles formed from two points on the circumference are…

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A tangent to a circle forms a right angle with the circle's radius, at the point of
contact of the tangent.


Also, if two tangents are drawn on a circle and they cross, the lengths of the two
tangents (from the point where they touch the circle to the point…

Page 4

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The angle formed at the centre of the circle by lines originating from two points
on the circle's circumference is double the angle formed on the circumference of
the circle by lines originating from the same points. i.e. a = 2b.
The opposite angles in a cyclic quadrilateral are supplementary.…

Page 5

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m n
a n = am

a×b = ab

a

a
b
= b

opposite
sin = hypotenuse

adjacent
cos = hypotenuse

opposite
tan = adjacent

A




Opposite(c) Hypotenuse (b)






B Adjacent (a) C
a = sinb c
sin A B = sin C


a2 = b2 + c2 -…

Page 6

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cos =- cos (180° - )

sin = cos (90° - )

cos = sin (90° - )

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