CIMA Study Systems 2006: Business Mathematics (CIMA Study System Series-Certificate Level)

Business Mathematics......Page 2
Copyright Page......Page 3
Contents......Page 4
How to use your CIMA Study System......Page 10
Study technique......Page 12
Computer-based assessment......Page 13
Business mathematics and computer-based assessment......Page 14
Syllabus......Page 15
Mathematical Tables......Page 19
1.2 Mathematical operations and brackets......Page 24
1.3 Different types of numbers......Page 25
1.4 Rounding......Page 26
1.5 Powers and roots......Page 28
1.6 Variables and functions......Page 29
1.7 Formulae......Page 30
1.8 Solving equations......Page 32
1.9 Percentages and ratios......Page 36
1.11 Variations under addition and subtraction......Page 38
1.12 Variations under multiplication and division......Page 39
1.13 Errors from rounding......Page 41
1.14 Summary......Page 42
Revision Questions......Page 44
Solutions to Revision Questions......Page 50
2.1 Introduction......Page 54
2.2 Primary data: sampling......Page 55
2.3 Probability sampling methods......Page 56
2.4 Other sampling methods......Page 58
2.5 Multistage sampling......Page 59
2.7 Questionnaires......Page 60
2.8 Contact with respondents......Page 61
2.9 Summary......Page 62
Revision Questions......Page 64
Solutions to Revision Questions......Page 70
3.2 Linear graphs......Page 74
3.3 Solving simultaneous linear equations using graphs......Page 79
3.4 Quadratic graphs......Page 80
3.5 Tallying; frequency distributions......Page 81
3.6 Discrete and continuous variables......Page 84
3.7 Cumulative frequency distribution......Page 85
3.8 Histograms and ogives......Page 87
3.9 Pie charts......Page 93
3.10 Bar charts......Page 95
3.11 Tabulation......Page 98
3.12 Summary......Page 99
Readings......Page 102
Revision Questions......Page 108
Solutions to Revision Questions......Page 114
4.2 The arithmetic mean......Page 120
4.3 The median......Page 124
4.4 The mode......Page 128
4.5 A comparison of the three averages......Page 130
4.7 The range......Page 131
4.8 The interquartile range; the quartile deviation......Page 133
4.9 Deciles......Page 135
4.10 The mean absolute deviation......Page 136
4.11 The standard deviation......Page 137
4.12 The coefficient of variation......Page 141
4.14 Interpretation of descriptive statistics......Page 142
4.15 Summary......Page 143
Readings......Page 144
Revision Questions......Page 148
Solutions to Revision Questions......Page 156
5.2 Definitions......Page 162
5.3 Interpretation of index numbers......Page 163
5.4 Choice of base year......Page 164
5.5 Change of base year......Page 165
5.6 Combining series of index numbers......Page 166
5.7 Chain-base index numbers......Page 167
5.8 Composite index numbers......Page 169
5.9 Relatives price indices......Page 171
5.10 Aggregative price indices......Page 173
5.11 Choice of base weighting or current weighting......Page 174
5.12 Quantity indices......Page 175
5.14 Using the RPI......Page 177
5.15 Summary......Page 181
Readings......Page 182
Revision Questions......Page 184
Solutions to Revision Questions......Page 192
6.2 Simple interest......Page 198
6.3 Compound interest......Page 200
6.4 Equivalent rates of interest......Page 201
6.5 Depreciation......Page 203
6.6 More complex investments......Page 204
6.7 Geometric progressions......Page 206
6.8 Present values......Page 207
6.9 Net present values – practical examples......Page 209
6.11 Annuities......Page 212
6.12 PV of a perpetuity......Page 214
6.13 Loans and mortgages......Page 215
6.14 Internal rate of return......Page 216
6.15 Summary......Page 219
Readings......Page 220
Revision Questions......Page 222
Solutions to Revision Questions......Page 230
7.1 Introduction......Page 236
7.2 Correlation......Page 237
7.3 Pearson\'s correlation coefficient......Page 240
7.5 Rank correlation: Spearman\'s coefficient......Page 242
7.6 Which correlation coefficient to use......Page 244
7.8 The least-squares criterion......Page 245
7.9 Interpreting a and b......Page 247
7.10 Forecasting......Page 248
7.11 Which variable to denote by y......Page 250
7.12 Judging the validity of forecasts......Page 251
7.13 Summary......Page 253
Revision Questions......Page 256
Solutions to Revision Questions......Page 264
8.2 Components and models of time series......Page 270
8.3 Forecasting linear trends......Page 273
8.4 Forecasting seasonal components......Page 275
8.5 Producing the final forecast......Page 277
8.6 Seasonal adjustment......Page 278
8.7 Moving average trends......Page 279
8.8 Other types of data......Page 283
8.9 Judging the validity of forecasts......Page 284
8.10 Computations involving the additive model......Page 286
8.11 Summary......Page 288
Readings......Page 290
Revision Questions......Page 292
Solutions to Revision Questions......Page 298
9.1 Introduction......Page 304
9.2 Definitions of probability......Page 305
9.3 Addition rules of probability......Page 306
9.5 The multiplication rules of probability......Page 308
9.6 More conditional probabilities......Page 311
9.7 Discrete probability distributions; expectations......Page 313
9.8 Expectation and decision-making......Page 315
9.9 Limitations of this approach......Page 318
9.10 Characteristics of the normal distribution......Page 319
9.11 Use of the tables of normal distribution......Page 320
9.12 Further normal distribution examples......Page 325
9.13 Summary......Page 327
Revision Questions......Page 330
Solutions to Revision Questions......Page 336
Revision technique......Page 342
Format of the assessment......Page 343
Revision Questions......Page 346
Solutions to Revision Questions......Page 378
Mock Assessment 1......Page 404
Mock Assessment 2......Page 420
Index......Page 444
Give CIMA Publishing Your Feedback and Win a Prize......Page 450