LS EM Flashcards

1
Q

y is directly proportional to x

A

y/x=k or y=kx
Where k is a constant

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2
Q

y is inversely proportional to x

A

xy=k or y=k/x
Where k is a constant

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3
Q

Probability of event A

A

P(A) = number of outcomes favourable to A/total number of equally likely outcomes

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4
Q

Sample space

A

S={ }

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5
Q

+- constant diff

A

nth term = a+(n-1)d
a –> first term
d –> constant diff

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6
Q

Combination formula

A

An=Bn+Cn+Dn
An –> whole sequence
Bn –> 1st type
Cn –> 2nd type
Dn –> 3rd type

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7
Q

× constant diff

A

nth term = ar^(n-1)
a –> 1st term
r –> constant diff being ×

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8
Q

+- varying diff

A

nth term = a+(n-1)d, +1/2(n-1)(n-2)d
a –> 1st term
d –> 1st diff
d –> constant diff btw diff

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9
Q

Speed

A

D
S T

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10
Q

TSA of a cube

A

6a^2

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11
Q

Vol of cube

A

a^3

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12
Q

TSA of cuboid

A

2lh+2hb+2lb

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13
Q

Vol of cuboid

A

lbh

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14
Q

Curved SA of cylinder

A

2πrh

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15
Q

TSA of cylinder

A

2πrh+2πr^2

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16
Q

Vol of cylinder

A

πr^2h

17
Q

Vol of prism

A

area of cross-section × L

18
Q

Vol of pyramid

A

1/3×BA×h

19
Q

CSA of cone

A

πrl

20
Q

TSA of cone

A

πrl+πr^2

21
Q

Vol of cone

A

1/3πr^2h

22
Q

TSA of sphere

A

4πr^2

23
Q

Vol of sphere

A

4/3πr^3

24
Q

TSA of 1/2 sphere

A

3πr^2

25
Q

Vol of 1/2 sphere

A

2/3πr^3

26
Q

mm^2–>cm^2–>m^2–>km^2

A

÷100
÷10 000
÷1 000 000

27
Q

mm^3–>cm^3–>m^3–>km^3

A

÷1 000
÷1 000 000

28
Q

A and P of rectangle

A

A = a×b
P=2(a+b)

29
Q

A and P of square

A

A=x^2
P=4x

30
Q

A&P of triangle

A

A=1/2×b×h
P=a+b+c

31
Q

A&P of parallelogram

A

A=b×h
P=2(a+b)

32
Q

A&P of trapezium

A

A=1/2(a+b)h
P=a+b+c+d

33
Q

A&P of circle

A

A=πr^2
P=2πr/πd

34
Q

A&P of sector

A

A=θ/360°×πr^2
P=θ/360°×2πr+2r

35
Q

A&P of semi-circle

A

A=1/2πr^2
P=πr+2r or 1/2πd+d

36
Q

Sum of int. angles

A

(n-2)×180°

37
Q

Sum of ext. angles

A

360°