Mathematics-II
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QUESTIONS
(BY TOPIC)
,FORMULAE LIST
The roots of ax2 + bx + c = 0 are x =
2a
a b c
Sine rule:
sin A sin B sin C
b2 c2 a2
Cosine rule: a2 = b2 + c2 2bc cos A or cos A =
2bc
Area of a triangle: Area = ½ ab sin C
4
Volume of a sphere: Volume = r3
3
1 2
Volume of a cone: Volume = r h
3
Volume of a cylinder: Volume = r 2h
Standard deviation: s= (x x)2
x2 ( x)2 / n , where n is the sample size.
n 1 n 1
, Contents
Algebra 5
Area and Volume 15
Circles 26
Factorising 31
Functions 32
Numeracy 34
Percentages 37
Proportion and Variation 41
Pythagoras’ Theorem 44
Quadratics 51
Ratios 63
Scientific Notation 64
Sequences 66
Similarity 69
Simultaneous Equations 75
Speed, Distance and Time 81
Statistics and Probability 82
Straight Lines 90
Surds and Indices 98
Trigonometry 101
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