About the Book

Year Published: 2003
Page Count: 416
Online ISBN: 978-1-921972-82-9 (9781921972829)

Table of Contents

Core Skills Mathematics 10

1 MONEY 9
  A Spending 10
  B Methods of payment 12
  C Credit cards 17
  D Banking 19
  E Budgeting 21
    Review of Chapter 1 23
       
2 WHOLE NUMBERS AND FRACTIONS 25
  A Rounding numbers 26
  B Estimation and approximation 28
  C Problem solving 31
  D Fractions 32
    Review of Chapter 2 37
       
3 DECIMALS AND PERCENTAGES 39
  A Decimals 40
  B Fraction and decimal conversions 43
  C Percentage 44
  D Working with percentage 46
  E Standard form 48
    Review of Chapter 3 51
       
4 MEASUREMENT 53
  A Reading instruments and meters 54
  B Converting length measurements 56
  C Perimeter and length 58
  D Time 62
  E Rates of change 64
    Review of Chapter 4 67
       
5 INTERPRETING GRAPHS 69
  A Graphical interpretation 70
  B Interpreting line graphs 72
  C Finding speed from graphs 74
  D Conversion graphs 76
  E Travel graphs 77
  F Time series data 79
  G Step graphs 81
    Review of Chapter 5 83
       
6 ALEGBRA (EQUATIONS AND FORMULAE) 85
  A Simplifyng in algebra 86
  B Solutions of equations 86
  C Inverse operations 87
  D Solving equations 88
  E Problem solving with equations 90
  F Substitution into formulae 92
  G Solving within a formula 93
  H Inequalities 94
    Review of Chapter 6 95
       
7 PERCENTAGE CHANGE 97
  A Using a multiplier 98
  B Chain percentage problems 100
  C Appreciation 101
  D Interest calculations 102
  E Depreciation 109
    Review of Chapter 7 111
       
8 BUSINESS MATHEMATICS 113
  A Profit and loss 114
  B Discount 117
  C Goods and services tax (GST) 118
  D Deductions from earnings 121
  E Income tax 122
  F Loan repayments 123
    Review of Chapter 8 125
       
9 AREA, VOLUME AND MASS 127
  A Area 128
  B Area formulae 130
  C Surface area 133
  D Volume 137
  E Capacity 140
  F Possible project 143
  G Mass and density 143
  H Accuracy of measurements 145
    Review of Chapter 9 147
       
10 TRANSFORMATIONS 149
  A Translations 151
  B Rotations 152
  C Reflections 155
  D Enlargements and reductions 159
  E Tesselations 161
    Review of Chapter 10 164
       
11 RATIO, SCALE DIAGRAMS AND MAPS 165
  A Ratios 166
  B Scale diagrams 169
  C Using scale diagrams 171
  D Bearings and directions 172
    Review of Chapter 11 177
       
12 ANGLES AND POLYGONS 179
  A Classifying angles by size 180
  B Angle pairs on parallel lines 181
  C Angles at a point and on a line 184
  D Triangles 185
  E Angles of a quadrilateral 188
  F Polygons 192
    Review of Chapter 12 194
       
13 PYTHAGORAS’ RULE 197
  A The rule of Pythagoras (review) 199
  B Further problem solving 204
  C Testing for right angles 208
  D True bearings and navigation 209
    Review of Chapter 13 211
       
14 GEOMETRICAL CONSTRUCTION 213
  A Constructing a triangle given its sides 215
  B Bisecting angles 216
  C Constructing perpendiculars 217
  D Angle construction 221
  E Finding a circle’s centre 222
  F Constructing parallel lines 223
  G Regular polygon construction 226
    Review of Chapter 14 227
       
15 STATISTICS 229
  A Types of data 231
  B Organising data 232
  C Displaying data 234
  D Continuous numerical data 237
  E Measuring the middle 240
  F Measuring the spread of data 246
  G Box-and-whisker plots 249
  H Parallel boxplots 251
  I Statistics using technology 253
    Review of Chapter 15 255
       
16 TRIGONOMETRY 257
  A Labelling sides of a right angled triangle 258
  B Trigonometric ratios 261
  C Using the sine ratio 262
  D Using the cosine ratio 264
  E Using the tangent ratio 265
  F Problem solving with trigonometry 267
    Review of Chapter 16 271
       
17 LINEAR GRAPHS 273
  A Plotting points 274
  B The slope of lines 276
  C Plotting graphs from rules 280
  D Straight lines (y = mx + c) 281
  E Finding equations of lines 282
  F The line of best fit 284
    Review of Chapter 17 285
       
18 SOLIDS 287
  A Solids 288
  B Nets of solids 291
  C Projections 292
  D Perspective drawings 294
  E Views 296
    Review of Chapter 18 299
       
19 SIMULATIONS AND PROBABILITY 301
  A Experimental probability 303
  B Estimating probabilities from data 305
  C Chance investigations 307
  D Probability calculation 310
  E Using tree diagrams 312
  F Using life tables 315
    Review of Chapter 19 317
       
20 THE SHARE MARKET 319
  A Introduction 320
  B Newspaper share listings 320
  C Buying shares 321
  D Selling shares 323
  E Breakeven price 325
  F Capital gain on shares 327
  G Dividends on shares 329
  H Yield on shares 330
  I The all ordinaries index 333
    Review of Chapter 20 334
       
21 BUILDING, CONSTRUCTION AND MANUFACTURING 337
  A The building sequence 340
  B The site and the floor 340
  C Building the walls and the roof 342
  D The doors 344
  E The wall cladding and roof covering 345
  F Other jobs 345
       
22 MATHEMATICS AND FOOD 347
  A Measuring in cooking 348
  B Nutritional value 351
  C Cooking times 352
  D Wastage 353
  E Catering 355
  F Food production and consumption 357
    Review of Chapter 22 359
       
23 BUYING AND RUNNING A CAR 361
  A Buying a car 362
  B Paying for the car 363
  C On-road costs 367
  D Additional costs 369
  E Travelling 371
  F Running costs 372
    Review of Chapter 23 375
       
  ANSWERS 377
       
  INDEX 413

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