LS EM Flashcards
y is directly proportional to x
y/x=k or y=kx
Where k is a constant
y is inversely proportional to x
xy=k or y=k/x
Where k is a constant
Probability of event A
P(A) = number of outcomes favourable to A/total number of equally likely outcomes
Sample space
S={ }
+- constant diff
nth term = a+(n-1)d
a –> first term
d –> constant diff
Combination formula
An=Bn+Cn+Dn
An –> whole sequence
Bn –> 1st type
Cn –> 2nd type
Dn –> 3rd type
× constant diff
nth term = ar^(n-1)
a –> 1st term
r –> constant diff being ×
+- varying diff
nth term = a+(n-1)d, +1/2(n-1)(n-2)d
a –> 1st term
d –> 1st diff
d –> constant diff btw diff
Speed
D
S T
TSA of a cube
6a^2
Vol of cube
a^3
TSA of cuboid
2lh+2hb+2lb
Vol of cuboid
lbh
Curved SA of cylinder
2πrh
TSA of cylinder
2πrh+2πr^2
Vol of cylinder
πr^2h
Vol of prism
area of cross-section × L
Vol of pyramid
1/3×BA×h
CSA of cone
πrl
TSA of cone
πrl+πr^2
Vol of cone
1/3πr^2h
TSA of sphere
4πr^2
Vol of sphere
4/3πr^3
TSA of 1/2 sphere
3πr^2
Vol of 1/2 sphere
2/3πr^3
mm^2–>cm^2–>m^2–>km^2
÷100
÷10 000
÷1 000 000
mm^3–>cm^3–>m^3–>km^3
÷1 000
÷1 000 000
A and P of rectangle
A = a×b
P=2(a+b)
A and P of square
A=x^2
P=4x
A&P of triangle
A=1/2×b×h
P=a+b+c
A&P of parallelogram
A=b×h
P=2(a+b)
A&P of trapezium
A=1/2(a+b)h
P=a+b+c+d
A&P of circle
A=πr^2
P=2πr/πd
A&P of sector
A=θ/360°×πr^2
P=θ/360°×2πr+2r
A&P of semi-circle
A=1/2πr^2
P=πr+2r or 1/2πd+d
Sum of int. angles
(n-2)×180°
Sum of ext. angles
360°
