# Maths Quest Maths B Year 11 for Queensland 2E Solutions Manual

Author/s |
Simpson |
---|---|

ISBN13 | 9780731408122 |

Pub date | May 2009 |

Pages | 227 |

RRP | $49.95 |

**is part of a complete Maths package which includes the Student Text, Teacher Editions, and now also supported with**

*Maths Quest Maths B Year 11 for QLD 2E Solutions Manual***and**

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** **

**Chapter 1 — Modelling using linear functions.**

Exercise 1A — Solving linear equations.

Exercise 1B — Rearrangement and substitution.

Exercise 1C — Gradient of a straight line.

Exercise 1D — Equations of the form

*y*=

*mx*+

*c.*

Exercise 1E — Sketching linear graphs using intercepts.

Exercise 1F — Simultaneous equations.

Exercise 1G — Formula for finding the equation of a straight line.

Exercise 1H — Linear modelling.

Chapter review.

Modelling and problem solving.

**Chapter 2 — Relations and functions.**

Exercise 2A — Relations and graphs.

Exercise 2B — Domain and range.

Exercise 2C — Types of relations (including functions).

Exercise 2D — Function notation and special types of functions.

Exercise 2E — Inverse relations and functions.

Exercise 2F — Circles.

Exercise 2G — Functions and modelling.

Chapter review.

Modelling and problem solving.

**Chapter 3 — Other graphs and modelling.**

Exercise 3A — Transforming graphs.

Exercise 3B — Sketching graphs using transformations.

Exercise 3C — Sketching graphs using intercepts.

Exercise 3D — The hyperbola.

Exercise 3E — The square root function.

Exercise 3F — The absolute value function.

Exercise 3G — Addition of ordinates.

Exercise 3H — Modelling.

Exercise 3I — Modelling using a graphics calculator.

Chapter review.

Modelling and problem solving.

**Chapter 4 — Triangle trigonometry. **Exercise 4A — Calculating trigonometric ratios.

Exercise 4B — Finding an unknown side.

Exercise 4C — Finding angles.

Exercise 4D — Applications of right-angled triangles.

Exercise 4E — Using the sine rule to find side lengths.

Exercise 4F — Using the sine rule to find angle sizes.

Exercise 4G — Using the cosine rule to find side lengths.

Exercise 4H — Using the cosine rule to find angles.

Chapter review.

Modelling and problem solving.

**Chapter 5 — Graphing periodic functions. **Exercise 5A — Period and amplitude of a periodic function.

Exercise 5B — Radian measure.

Exercise 5C — Exact values.

Exercise 5D — Symmetry.

Exercise 5E — Trigonometric graphs.

Exercise 5F — Applications.

Chapter review.

Modelling and problem solving.

**Chapter 6 — Trigonometric equations. **Exercise 6A — Simple trigonometric equations.

Exercise 6B — Equations using radians.

Exercise 6C — Further trigonometric equations.

Exercise 6D — Identities.

Exercise 6E — Using the Pythagorean identity.

Chapter review.

Modelling and problem solving.

**Chapter 7 — Exponential and logarithmic functions. **Exercise 7A — Index laws.

Exercise 7B — Negative and rational powers.

Exercise 7C — Indicial equations.

Exercise 7D — Graphs of exponential functions.

Exercise 7E — Logarithms.

Exercise 7F — Solving logarithmic equations.

Exercise 7G — Applications of exponential and logarithmic functions.

Chapter review.

Modelling and problem solving.

**Chapter 8 — Applications of exponential and logarithmic** **functions in financial mathematics. **Exercise 8A — Geometric sequences.

Exercise 8B — Geometric series.

Exercise 8C — Growth and decay functions.

Exercise 8D — Compound interest formula.

Exercise 8E — Loan schedules.

Exercise 8F — The annuities formula.

Chapter review.

Modelling and problem solving.

**Chapter 9 — Presentation of data. **Exercise 9A — Types of variables and data.

Exercise 9B — Collection of data.

Exercise 9C — Bias.

Exercise 9D — Stem plots.

Exercise 9E — Frequency histograms and bar charts.

Exercise 9F — Describing the shape of stem plots and histograms.

Exercise 9G — Cumulative data.

Chapter review.

Modelling and problem solving.

**Chapter 10 — Summary statistics. **Exercise 10A — Measures of central tendency.

Exercise 10B — Range and interquartile range.

Exercise 10C — The standard deviation.

Exercise 10D — Boxplots.

Exercise 10E — Back-to-back stem plots.

Exercise 10F — Parallel boxplots.

Chapter review.

Modelling and problem solving.

**Chapter 11 — Introduction to probability. **Exercise 11A — Informal description of chance.

Exercise 11B — Single event probability.

Exercise 11C — Relative frequency.

Exercise 11D — Modelling probability.

Exercise 11E — Long-run proportion.

Chapter review.

Modelling and problem solving.

**Chapter 12 — Rates of change. **Exercise 12A — Constant rates.

Exercise 12B — Variable rates.

Exercise 12C — Average rates of change.

Exercise 12D — Instantaneous rates.

Exercise 12E — Motion graphs.

Exercise 12F — Relating the gradient function to the original function.

Exercise 12G — Relating velocity-time graphs to position-time graphs.

Exercise 12H — Rates of change of polynomials.

Chapter review.

Modelling and problem solving.

**Chapter 13 — Differentiation and applications. **Exercise 13A — Introduction to limits.

Exercise 13B — Limits of discontinuous, rational and hybrid functions.

Exercise 13C — Differentiation using first principles.

Exercise 13D — Finding derivatives by rule.

Exercise 13E — Rates of change.

Exercise 13F — Solving maximum and minimum problems.

Chapter review.

Modelling and problem solving.

**Solutions to investigations. **

**Chapter 2.**

Investigation — Interesting relations.

Investigation — A special relation.

**Chapter 3.**

Investigation — Investigating transformations on the basic graphs of

*y*=

*x*2,

*y*=

*x*3 and

*y*=

*x*4.

Investigation — Goal accuracy.

**Chapter 4.**

Investigation — Looking at the tangent ratio.

Investigation — Looking at the sine ratio.

Investigation — Looking at the cosine ratio.

Investigation — Fly like a bird.

Investigation — Derivation of the sine rule.

Investigation — Bearing east and west.

**Chapter 5.**

Investigation — Temperature and tide.

Investigation — Rhythm of life.

Investigation — Ferris wheeling.

Investigation — Finding a radian.

Investigation — The effect of 2.

Investigation — How high.

Investigation — Sunrise to sunset.

**Chapter 6.**

Investigation — Fishing.

Investigation — Further trigonometric identities.

**Chapter 7.**

Investigation — Simulating radioactivity.

Investigation — A world population model.

Investigation — Bode’s Law.

Investigation — Logarithmic graphs.

Investigation — The slide rule.

Investigation — The decibel.

Investigation — The Richter scale.

**Chapter 8.**

Investigation — Crossing the road.

Investigation — Loan schedules using spreadsheets.

Investigation — Spreadsheets and investing for the future.

Investigation — Buying a home.

**Chapter 9.**

Investigation — Types of data.

Investigation — Gallup poll.

Investigation — Identifying the target population.

Investigation — Census or sample.

Investigation — Bias in statistics.

Investigation — Biased sampling.

Investigation — Spreadsheets creating misleading graphs.

Investigation — Cost of a house.

Investigation — Bias.

Investigation — Segmented bar chart.

Investigation — Looking at cost.

Investigation — Using a database.

Investigation — A different display.

**Chapter 10.**

Investigation — Mean and median amount of soft drink.

Investigation — Range of soft drink amounts.

Investigation — Standard deviation of soft drink amounts.

**Chapter 11.**

Investigation — What will the weather be?

Investigation — Comparing theoretical probabilities with experimental results.

Investigation — Experimental or theoretical?

Investigations — Researching relative frequencies, applying relative frequencies.

Investigation — Random choice.

Investigation — Footy season.

**Chapter 12.**

Investigation — Investigating rates of change.

**Chapter 13.**

Investigation — Sneaking up on a limit.

Investigation — Dirichlet’s function.

Investigation — Secants and tangents.

Investigation — Graphs of derivatives.

Investigation — When is a maximum not a maximum?

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