| Investigations
Chequered flags 6
Splitting rectangles 24
Hollow squares 28
Floor joists 34
Three squares in a row 39
The Golden Ratio 56
Close to 1 143
Reading age 144
Mathematics textbooks 286
50c and the polar bears 319
Painted cubes 373
The sharebroker's report 409
Pythagoras and the cosine rule 435
The octagon chop 437
The Golden Ratio and the cosine rule 440
The Auckland-Sydney road tunnel 461
The Reuleaux triangle 469
Puzzles
The third highest number 8
The four friends 10
Stuffing envelopes 14
Xavier and Yvonne 16
The shoemaker's will 19
The boeing 757 45
Pumpkin patch 53
Minding your p's and q's 54
This century base 3 75
Car number plates 78
Last digit 81
Wayward perpendicular bisectors 236
The stolen bicycle 239
The white marbles 302
Baker's dozen auction 323
Sequential clock display 382
The 51 pearls 388
Circumscribed triangle 422
Double triangles 442
The mobile crane 451
Straight hands 456
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Technology Investigations
Off to the freezing works 44
Quadratic equation solver 59
The acoustic concert hall 74
The roller-coaster 108
The dance floor 117
Drawing a semi-circle 126
Exponential and log graphs 139
Different bases, different curves 143
The shrinking chord 163
Combining trapeziums 185
The warehouse 203
The horse-breeder's paddock 210
Motorcyclist crashes 257
Coffee cups 272
Numeral soup 277
The normal curves and the witch of Agnesi 355
Identical triplets 370
The fibonacci sequence 378
The parking building 385
Watering down drinks 391
The grains of rice 392
The four gifting schemes 396
Business depreciation 405
The kidney-shaped pool 449
The Polygon Society and the round tablecloth 456
Producing trig graphs using radians 478
Modelling monthly temperatures in Clyde, Otago 492
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