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Edexcel A level Mathematics
Statistics and Mechanics
Year 2
, 11 - 19 PROGRESSION
Edexcel A level Mathematics
Statistics and Mechanics
Year 2
Series Editor: Harry Smith
Authors: Greg Attwood, Ian Bettison, Alan Clegg, Gill Dyer, Jane Dyer, Keith Gallick,
Susan Hooker, Michael Jennings, Mohammed Ladak, Jean Littlewood, Bronwen Moran,
Su Nicholson, Laurence Pateman, Keith Pledger, Harry Smith
F01_EDSM2_SB_AL_83282_PRE_i-viii.indd 1 16/06/2017 13:02
, Contents
Contents
Overarching themes iv MECHANICS
Extra online content vi 4 Moments 70
4.1 Moments 71
STATISTICS 4.2 Resultant moments 73
1 Regression, correlation 4.3 Equilibrium 76
and hypothesis testing 1 4.4 Centres of mass 80
1.1 Exponential models 2 4.5 Tilting 83
1.2 Measuring correlation 5 Mixed exercise 4 85
1.3 Hypothesis testing for zero correlation 8
Mixed exercise 1 12 5 Forces and friction 90
5.1 Resolving forces 91
2 Conditional probability 16 5.2 Inclined planes 96
2.1 Set notation 17 5.3 Friction 100
2.2 Conditional probability 21 Mixed exercise 5 105
2.3 Conditional probabilities in
Venn diagrams 24
6 Projectiles 107
2.4 Probability formulae 27
6.1 Horizontal projection 108
2.5 Tree diagrams 31
6.2 Horizontal and vertical components 111
Mixed exercise 2 34
6.3 Projection at any angle 113
6.4 Projectile motion formulae 120
3 The normal distribution 37
Mixed exercise 6 125
3.1 The normal distribution 38
3.2 Finding probabilities for 7 Applications of forces 128
normal distributions 41
7.1 Static particles 129
3.3 The inverse normal distribution
7.2 Modelling with statics 133
function 44
7.3 Friction and static particles 137
3.4 The standard normal distribution 47
7.4 Static rigid bodies 142
3.5 Finding µ and σ 49
7.5 Dynamics and inclined planes 147
3.6 Approximating a binomial
distribution 53 7.6 Connected particles 150
3.7 Hypothesis testing with the normal Mixed exercise 7 154
distribution 56
Mixed exercise 3 60 8 Further kinematics 159
8.1 Vectors in kinematics 160
Review exercise 1 65 8.2 Vector methods with projectiles 165
ii
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, Contents
8.3 Variable acceleration in Exam-style practice: Paper 3 187
one dimension 167
8.4 Differentiating vectors 171 Appendix 191
8.5 Integrating vectors 173
Mixed exercise 8 177 Answers 192
Review exercise 2 182 Index 207
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Edexcel A level Mathematics
Statistics and Mechanics
Year 2
, 11 - 19 PROGRESSION
Edexcel A level Mathematics
Statistics and Mechanics
Year 2
Series Editor: Harry Smith
Authors: Greg Attwood, Ian Bettison, Alan Clegg, Gill Dyer, Jane Dyer, Keith Gallick,
Susan Hooker, Michael Jennings, Mohammed Ladak, Jean Littlewood, Bronwen Moran,
Su Nicholson, Laurence Pateman, Keith Pledger, Harry Smith
F01_EDSM2_SB_AL_83282_PRE_i-viii.indd 1 16/06/2017 13:02
, Contents
Contents
Overarching themes iv MECHANICS
Extra online content vi 4 Moments 70
4.1 Moments 71
STATISTICS 4.2 Resultant moments 73
1 Regression, correlation 4.3 Equilibrium 76
and hypothesis testing 1 4.4 Centres of mass 80
1.1 Exponential models 2 4.5 Tilting 83
1.2 Measuring correlation 5 Mixed exercise 4 85
1.3 Hypothesis testing for zero correlation 8
Mixed exercise 1 12 5 Forces and friction 90
5.1 Resolving forces 91
2 Conditional probability 16 5.2 Inclined planes 96
2.1 Set notation 17 5.3 Friction 100
2.2 Conditional probability 21 Mixed exercise 5 105
2.3 Conditional probabilities in
Venn diagrams 24
6 Projectiles 107
2.4 Probability formulae 27
6.1 Horizontal projection 108
2.5 Tree diagrams 31
6.2 Horizontal and vertical components 111
Mixed exercise 2 34
6.3 Projection at any angle 113
6.4 Projectile motion formulae 120
3 The normal distribution 37
Mixed exercise 6 125
3.1 The normal distribution 38
3.2 Finding probabilities for 7 Applications of forces 128
normal distributions 41
7.1 Static particles 129
3.3 The inverse normal distribution
7.2 Modelling with statics 133
function 44
7.3 Friction and static particles 137
3.4 The standard normal distribution 47
7.4 Static rigid bodies 142
3.5 Finding µ and σ 49
7.5 Dynamics and inclined planes 147
3.6 Approximating a binomial
distribution 53 7.6 Connected particles 150
3.7 Hypothesis testing with the normal Mixed exercise 7 154
distribution 56
Mixed exercise 3 60 8 Further kinematics 159
8.1 Vectors in kinematics 160
Review exercise 1 65 8.2 Vector methods with projectiles 165
ii
F01_EDSM2_SB_AL_83282_PRE_i-viii.indd 2 16/06/2017 13:02
, Contents
8.3 Variable acceleration in Exam-style practice: Paper 3 187
one dimension 167
8.4 Differentiating vectors 171 Appendix 191
8.5 Integrating vectors 173
Mixed exercise 8 177 Answers 192
Review exercise 2 182 Index 207
iii
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