Jacaranda Maths Quest 11 Foundation Mathematics VCE Units 1 and 2, 2e learnON an

Table of Contents

About this resource vii Acknowledgements xiv 1 Integers 1 1.1 Overview 2 1.2 Adding and subtracting integers 3 1.3 Multiplying integers 8 1.4 Dividing integers 11 1.5 Combining operations on integers 14 1.6 Review 19 Answers 22 2 Fractions 25 2.1 Overview 26 2.2 Introducing fractions 27 2.3 Simplifying fractions 36 2.4 Mixed numbers and improper fractions 40 2.5 Adding and subtracting fractions 46 2.6 Multiplying fractions 51 2.7 Dividing fractions 58 2.8 Working with mixed numbers 62 2.9 Review 68 Answers 71 3 Decimals 77 3.1 Overview 78 3.2 Place value and comparing decimals 79 3.3 Converting decimals to fractions and fractions to decimals 85 3.4 Rounding and repeating decimals 90 3.5 Adding and subtracting decimals 96 3.6 Multiplying decimals (including powers of 10) 101 3.7 Dividing decimals (including powers of 10) 106 3.8 Review 113 Answers 115 4 Powers and roots 119 4.1 Overview 120 4.2 Index (power) notation 121 4.3 Squares and square roots 126 4.4 Using powers and roots to solve practical problems 130 4.5 Review 139 Answers 141 5 Estimation and approximation 143 5.1 Overview 144 5.2 Rounding and estimation 145 5.3 Reasonableness and calculator skills 148 5.4 Order of magnitude 154 5.5 Approximation 161 5.6 Review 168 Answers 172 6 Ratios and proportions 175 6.1 Overview 176 6.2 Introduction to ratios 177 6.3 Ratios of two quantities 184 6.4 Divide into ratios 194 6.5 Scales, diagrams and maps 203 6.6 Proportion 210 6.7 Review 216 Answers 220 7 Rates 223 7.1 Overview 224 7.2 Identifying rates 225 7.3 Conversion of rates 230 7.4 Comparison of rates 234 7.5 Rates and costs 237 7.6 Review 248 Answers 251 8 Percentages 255 8.1 Overview 256 8.2 Calculating percentages 257 8.3 Express as a percentage 264 8.4 Percentage decrease and increase 269 8.5 Simple interest 275 8.6 Review 281 Answers 284 9 Equations 287 9.1 Overview 288 9.2 Number patterns and pronumerals 289 9.3 Building expressions 296 9.4 Backtracking to solve equations 300 9.5 Balancing equations 304 9.6 Solving equations 309 9.7 Rearranging formulas 313 9.8 Applications of equations and formulas 317 9.9 Review 321 Answers 324 10 Collecting and classifying data 329 10.1 Overview 330 10.2 Collecting data 331 10.3 Simple survey procedures 340 10.4 Classifying data 349 10.5 Categorical data 353 10.6 Numerical data 371 10.7 Comparing and interpreting data 385 10.8 Review 392 Answers 398 11 Financial systems and income payments 409 11.1 Overview 410 11.2 Purchasing methods 411 11.3 Financial systems — permanent employment 419 11.4 Financial systems — taxation and deductions 424 11.5 Income payments — commission, piecework and royalties 432 11.6 Income payments and calculations 437 11.7 Review 445 Answers 449 12 Length and area 453 12.1 Overview 454 12.2 SI units, length and estimation 455 12.3 Perimeters of familiar and composite shapes 462 12.4 Units of area and estimation 471 12.5 Areas of regular shapes 478 12.6 Surface areas of familiar prisms 486 12.7 Review 492 Answers 496 13 Volume, capacity and mass 499 13.1 Overview 500 13.2 Volume of prisms and capacity 501 13.3 Volume of spheres and composite shapes 509 13.4 Mass 513 13.5 Review 518 Answers 521 14 Presenting and interpreting data 523 14.1 Overview 524 14.2 Measures of central tendency and the outlier effect 525 14.3 Measures of spread 535 14.4 Describing graphical distributions 547 14.5 Characteristics of data sets 558 14.6 Drawing and using column and pie graphs 579 14.7 Misleading graphs 588 14.8 Graphing and technology 596 14.9 Review 606 Answers 615 15 Managing finances 627 15.1 Overview 628 15.2 Products and services 629 15.3 Rent and utilities costs 634 15.4 Credit cards 645 15.5 Personal income–related expenses 656 15.6 Car expenses 662 15.7 Managing money 670 15.8 Financial and economic data trends 677 15.9 Review 685 Answers 690 16 Space, time and measurement 695 16.1 Overview 696 16.2 Conventions and geometric shapes 697 16.3 Angles and polygons 706 16.4 Angles, parallel lines and transversals 711 16.5 Constructing triangles 717 16.6 Using scales 720 16.7 Time and temperature 725 16.8 Map distances 735 16.9 Directions 739 16.10 Speed 745 16.11 Travel times 750 16.12 Review 761 Answers 765 Glossary 771 Index 777

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Unlock Your Maths Potential with Jacaranda Maths Quest 11: The Ultimate Guide for VCE Units 1 and 2!

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