About the Book

  • Covers the basic skills
  • Easy to read
  • Clear examples
  • Well graded questions

This book presents an alternative course for Year 10 students. The particular aim of the book is to show the everyday applications of mathematics in the context of the world around us.

There are 19 ’core’ chapters. These chapters cover the basic skills of mathematics appropriate for Year 10 students who may go on to complete a Mathematical Applications or a Foundation Mathematics course at Year 11.

In addition, there are four ’option’ chapters which are entirely focused on particular themes. Throughout these chapters, the emphasis is on relating the theory and application of mathematics to real-life:

  • 20. The share market
  • 21. Building, construction and manufacturing
  • 22. Mathematics and food
  • 23. Buying and running a car

The authors hope that by presenting a course of mathematics in this way, students may understand the relevance and importance of mathematics in everyday life.

*Tablet in picture not included. You will need a computer, tablet, iPad, or smartphone to read this Digital Textbook. Internet access is required. Offline viewing is available for PC and Mac.

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

Features

  • Snowflake (15 months)

    A complete electronic copy of the textbook, with interactive, animated, and/or printable extras.

Snowflake

This book is available on electronic devices through our Snowflake learning platform. This book includes 15 months of Snowflake access, featuring a complete electronic copy of the textbook.

Where relevant, Snowflake features include interactive geometry, graphing, and statistics software, demonstrations, games, spreadsheets, and a range of printable worksheets, tables, and diagrams. Teachers are provided with a quick and easy way to demonstrate concepts, and students can discover for themselves and re-visit when necessary.

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