Mathematics for Australia 12 Essential Mathematics
| 1 | GEOMETRY | 9 | |
| A | 2-dimensional shapes | 11 | |
| B | 3-dimensional solids | 18 | |
| C | Sketching solids | 23 | |
| D | Views of solids | 27 | |
| E | Nets of solids | 29 | |
| Review set 1A | 32 | ||
| Review set 1B | 33 | ||
| 2 | LENGTH AND AREA | 35 | |
| A | Metric length | 36 | |
| B | Imperial length | 39 | |
| C | Perimeter | 42 | |
| D | Area | 46 | |
| E | Area formulae | 48 | |
| F | Areas of irregular shapes | 54 | |
| Review set 2A | 60 | ||
| Review set 2B | 61 | ||
| 3 | SCALE DIAGRAMS | 63 | |
| A | Scale factor | 65 | |
| B | Scale diagrams | 66 | |
| C | Problems involving bearings | 73 | |
| Review set 3A | 76 | ||
| Review set 3B | 77 | ||
| 4 | PYTHAGORAS’ THEOREM | 79 | |
| A | Solving x² = k | 80 | |
| B | Pythagoras’ theorem | 82 | |
| C | The converse of Pythagoras’ theorem | 87 | |
| D | Problem solving | 89 | |
| Review set 4A | 94 | ||
| Review set 4B | 95 | ||
| 5 | FURTHER MEASUREMENT | 97 | |
| A | Surface area | 98 | |
| B | Volume | 104 | |
| C | Capacity | 110 | |
| D | Mass | 113 | |
| E | Density | 117 | |
| Review set 5A | 120 | ||
| Review set 5B | 121 | ||
| 6 | RIGHT ANGLED TRIANGLE TRIGONOMETRY | 123 | |
| A | Labelling right angled triangles | 124 | |
| B | The trigonometric ratios | 125 | |
| C | Finding sides and angles | 128 | |
| D | Problem solving using trigonometry | 132 | |
| Review set 6A | 137 | ||
| Review set 6B | 138 | ||
| 7 | NON-RIGHT ANGLED TRIANGLE TRIGONOMETRY | 139 | |
| A | Trigonometric ratios of obtuse angles | 140 | |
| B | The cosine rule | 142 | |
| C | The sine rule | 145 | |
| D | Problem solving | 148 | |
| Review set 7A | 150 | ||
| Review set 7B | 151 | ||
| 8 | BUSINESS APPLICATIONS | 153 | |
| A | Planning business premises | 154 | |
| B | Costing calculations | 159 | |
| C | Depreciation | 166 | |
| D | Insurance | 171 | |
| E | Cost of goods sold | 175 | |
| F | Profit and loss statements | 176 | |
| G | Break-even analysis | 180 | |
| H | Business structures and taxation | 185 | |
| Review set 8A | 188 | ||
| Review set 8B | 190 | ||
| 9 | LINE GRAPHS | 193 | |
| A | The Cartesian plane | 194 | |
| B | Graphing linear relationships | 196 | |
| C | Graphing lines from equations | 200 | |
| D | Line graphs | 203 | |
| E | The intersection of line graphs | 209 | |
| Review set 9A | 211 | ||
| Review set 9B | 212 | ||
| 10 | PROBABILITY | 215 | |
| A | Probability | 216 | |
| B | Experimental probability | 218 | |
| C | Sample space | 223 | |
| D | Theoretical probability | 225 | |
| E | Compound events | 229 | |
| F | Tree diagrams | 234 | |
| G | Simulations | 236 | |
| Review set 10A | 241 | ||
| Review set 10B | 243 | ||
| 11 | STATISTICS | 245 | |
| A | Sampling | 246 | |
| B | Displaying data | 255 | |
| C | Measuring the centre of data | 257 | |
| D | Measuring the spread of data | 262 | |
| E | Back-to-back stem plots | 268 | |
| F | Parallel box plots | 271 | |
| Review set 11A | 275 | ||
| Review set 11B | 278 | ||
| 12 | LINEAR CORRELATION | 281 | |
| A | Correlation | 282 | |
| B | Measuring correlation | 286 | |
| C | Line of best fit by eye | 294 | |
| D | Least squares regression line | 298 | |
| Review set 12A | 302 | ||
| Review set 12B | 304 | ||
| 13 | INVESTMENTS | 307 | |
| A | Simple interest | 308 | |
| B | Compound interest | 311 | |
| C | Future value annuities | 320 | |
| D | Tax and inflation | 326 | |
| E | Superannuation | 331 | |
| Review set 13A | 335 | ||
| Review set 13B | 336 | ||
| 14 | LOANS | 339 | |
| A | Reducing balance loans | 340 | |
| B | Home loans | 344 | |
| C | Strategies to minimise interest | 347 | |
| D | Comparing loans | 354 | |
| Review set 14A | 357 | ||
| Review set 14B | 358 | ||
| 15 | EARTH GEOMETRY AND TIME ZONES | 361 | |
| A | Latitude and longitude | 362 | |
| B | Distance on the Earth’s surface | 366 | |
| C | Time zones | 370 | |
| Review set 15A | 375 | ||
| Review set 15B | 376 | ||
| ANSWERS | 377 | ||