Theta Mathematics 

These spreadsheets are Microsoft Excel worksheets.  Each spreadsheet can either be opened and run, or saved to any location on your computer or network.

Spreadsheets

Worked examples                Simulations                Data Sets                Answers


Worked examples

Chapter 6 - Quadratic equations

59   Quadratic equation solver.xls

Chapter 10 - Factored polynomials and their graphs

97   Parabola by plotting points.xls
108 Roller-coaster.xls

Chapter 11 Hyperbolas and circles

126 Marathon times.xls

Chapter 12 Exponential and logarithmic graphs

141 Graph of log to base 3.xls

Chapter 13 Transformation of graphs and modelling

145 Reading age.xls

Chapter 14 Introducing differentiation

163 Shrinking chord.xls

Chapter 17 Calculus applications

203 Napier-Hastings Warehouse.xls
210 Horse-paddock.xls

Chapter 20 Sample statistics and data display

244 Mean, median and mode.xls
250 Frequency table and bar graph.xls
261 Range and interquartile range (results).xls
263 Boxplot.xls
268 Standard deviation for individual data (result).xls
273 Coffee cups.xls

Chapter 21 Sampling processes and making inferences

288 Real estate cluster sample.xls
288 Auckland real estate prices (sample).xls

Chapter 23 Experimental probability and simulation methods

321 Tossing a fair coin simulation.xls
324 Heads or Tails.xls
325 Day of the week simulation (20 trials).xls
326 Day of the week simulation (1000 trials).xls
326 Waiting for heads.xls
335 Predator-prey simulation 1 (cats and mice).xls

Chapter 24 The normal distribution

350 normdist result.xls
350 normdist differences result.xls
356 Witch of Agnesi.xls
359 norminv.xls
364 Normal simulation.xls
365 Normal simulation (histogram).xls

Chapter 25 Introducing sequences

375 Graphing a sequence.xls

Chapter 26 Arithmetic sequences

385 Parking building calculations.xls

Chapter 28 Growth and decay

409 Adding to the original investment.xls

Chapter 32 Practical trigonometry

448 Croquet-hoop.xls
449 Kidney-shaped pool.xls

Chapter 33 Circular measure

456 Polygon society.xls

Chapter 34 Trigonometric graphs and equations

478 sin graph using radians.xls

Chapter 35 Further trig graphs and equations

492 Clyde average daily temperatures.xls
496 Picturing a solution to a trig equation (degrees).xls



Simulations

Chapter 23 Experimental probability and simulation methods

321 Tossing a fair coin simulation.xls
324 Heads or Tails.xls
325 Day of the week simulation (20 trials).xls
326 Day of the week simulation (1000 trials).xls
326 Waiting for heads.xls
327 Fives and sixes (200 tosses) simulation.xls
328 Coloured cards simulation.xls
329 Boy or girl in 4-child family simulation (1000 trials)
329 Three members of a family simulation.xls
329 The gamblers simulation.xls
330 Chinese Lunar Calendar simulation (1000 trials).xls
330 Dartboard score simulation.xls
331 Overbooked car-ferry simulation.xls
332 Triangle inequality simulation
332 Right-angled, acute & obtuse triangle simulation.xls
335 Predator-prey simulation 1 (cats and mice).xls
336 Predator-prey simulation 2 (sharks and fish).xls
337 Predator-prey simulation 3 (ferrets and fantails).xls
337 Predator-prey simulation 4 (toheroa and off-road vehicles).xls

Chapter 24 The normal distribution

364 Normal simulation.xls
365 Normal simulation (histogram).xls
366 Normal simulation answers.xls
366 Soft drink simulation (500 values).xls
366 Excess baggage simulation (400 values).xls

NCEA 2.6 Revision Exercises

367 The 12 Houses (answer).xls


Data sets

Chapter 20 Sample statistics and data display

245, 262,270 Christchurch Temperature data Feb 2005.xls
257 Motorcyclist data.xls

Chapter 21 Sampling processes and making inferences

283 116 Bag Weights.xls
283 Oscar Winners 1928 to 2004.xls
284 Olive grove production.xls
286 Longman Mathematics Series Statistics.xls

NCEA 2.5 Revision Exercises

291 Toyota Corolla Prices.xls


Answers 

44   Off to the freezing works.xls
59   Quadratic equation solver answers.xls
74   Acoustic concert hall.xls
108 Roller-coaster answers.xls
117 Dance Floor Ans.xls
126 Drawing a semi-circle.xls
131 Simple exponential graph.xls
139 Exponential and log graphs investigation answers
143 Different bases for log graphs.xls
145 Reading age answers.xls
164 Shrinking chords answers.xls
186 Combining trapeziums Answers.xls
203 Napier-Hastings Warehouse Answers.xls
210 Horse-paddock answers.xls
245, 262, 270 Christchurch Temperature data Feb 2005 answers.xls
257 Motorcyclist accident analysis.xls
273 Coffee cups (answer).xls
277 Numeral soup (answer).xls
283 School Bag Weight Analysis.xls
283 Oscar age analysis.xls
284 Olive grove sampling (answers).xls
291 Toyota Corolla Prices Analysis.xls
327 Fives and sixes (200 tosses) simulation.xls
328 Coloured Cards Simulation.xls 
329 Boy or girl in 4-child family simulation (1000 trials)
329 Three members of a family simulation.xls
329 The gamblers simulation.xls
330 Chinese Lunar Calendar simulation (1000 trials).xls
330 Dartboard score simulation.xls
331 Overbooked car-ferry simulation.xls
332 Triangle inequality simulation
332 Right-angled, acute & obtuse triangle simulation.xls
335 Predator-prey simulation 1 (cats and mice).xls
336 Predator-prey simulation 2 (sharks and fish).xls
337 Predator-prey simulation 3 (ferrets and fantails).xls
337 Predator-prey simulation 4 (toheroa and off-road vehicles).xls
356 Witch of Agnesi answers.xls
366 Normal simulation answers.xls
366 Soft drink simulation (500 values).xls
366 Excess baggage simulation (400 values).xls
367 The 12 Houses (answer).xls
370 Identical triplets answers.xls
375 Ex 25-04 and Ex 25-05.xls
377 Ex 25-06.xls
379 Fibonacci sequence answers.xls
385 Parking building calculations answers.xls
388 Holiday savings plan.xls
388 The 51 Pearls.xls
391 Watering down drinks answers.xls
392 Grains of rice answers.xls
396 The four gifting schemes.xls
405 Business depreciation answers.xls
409 The sharebroker's report.xls
410 Ex 28-04 answers.xls
446 Ex 32-02 Qn 3 answers.xls
448 Croquet-hoop answers.xls
448 Penalty-spot answers.xls
449 Kidney-shaped pool answers.xls
456 Polygon society answers.xls
468 Water-trough calculations.xls
472 Trig graphs.xls
478 simple trig graphs using radians.xls
509 Off to the freezing works.xls
512 Quadratic equation solver answers.xls
514 Acoustic concert hall.xls
523 Roller-coaster answers.xls
527 Dance Floor Ans.xls
529 Drawing a semi-circle.xls
530 Simple exponential graph.xls
532 Exponential and log graphs investigation answers
534 Different bases for log graphs.xls
534 Reading age answers.xls
540 Shrinking chords answers.xls
543 Combining trapeziums Answers.xls
544 Napier-Hastings Warehouse Answers.xls
545 Horse-paddock answers.xls
551, 553, 554 Christchurch Temperature data Feb 2005 answers.xls
553 Motorcyclist accident analysis.xls
555 Coffee cups (answer).xls
556 Numeral soup (answer).xls
557 School Bag Weight Analysis.xls
557 Oscar age analysis.xls
557 Olive grove sampling (answers).xls
558 Toyota Corolla Prices Analysis.xls
561 Fives and sixes (200 tosses) simulation.xls
561 Coloured Cards Simulation.xls 
561 Boy or girl in 4-child family simulation (1000 trials)
561 Three members of a family simulation.xls
561 The gamblers simulation.xls
561 Chinese Lunar Calendar simulation (1000 trials).xls
561 Dartboard score simulation.xls
561 Overbooked car-ferry simulation.xls
561 Triangle inequality simulation
562 Right-angled, acute & obtuse triangle simulation.xls
562 Predator-prey simulation 1 (cats and mice).xls
562 Predator-prey simulation 2 (sharks and fish).xls
562 Predator-prey simulation 3 (ferrets and fantails).xls
562 Predator-prey simulation 4 (toheroa and off-road vehicles).xls
563 Witch of Agnesi answers.xls
564 Normal simulation answers.xls
564 Soft drink simulation (500 values).xls
564 Excess baggage simulation (400 values).xls
564 The 12 Houses (answer).xls
565 Identical triplets answers.xls
566 Ex 25-04 and Ex 25-05.xls
566 Ex 25-06.xls
566 Fibonacci sequence answers.xls
567 Parking building calculations answers.xls
567 Holiday savings plan.xls
567 The 51 Pearls.xls
568 Watering down drinks answers.xls
568 Grains of rice answers.xls
569 The four gifting schemes.xls
569 Business depreciation answers.xls
570 The sharebroker's report.xls
570 Ex 28-04 answers.xls
574 Ex 32-02 Qn 3 answers.xls
574 Croquet-hoop answers.xls
574 Penalty-spot answers.xls
574 Kidney-shaped pool answers.xls
575 Polygon society answers.xls
576 Water-trough calculations.xls
577 Trig graphs.xls
577 simple trig graphs using radians.xls