Sigma Mathematics (NCEA Edition) 

List of investigations and puzzles

Case studies and investigations

Snacking on chips   8
Projects using your own data   51
Time series investigations using spreadsheets   52
Distribution of the total   55
The sampling distribution of the mean from a uniform distribution 63
Revenue sharing between airlines   77
Creating a margin of error table   93
Breaking the stick   103
Bertrand's paradox   106
The random secretary problem   114
The birthday problem   119
Paper, scissors, stone   125
Crown and anchor   127
On a roll - penalty kicks in soccer   136
Hearts and diamonds   142
Stirling's approximation for n factorial   152
Poker hands   163
Simpson's paradox   172
Unlawful activity   177
The Abbot of Canterbury's puzzle   189
NPK and garden fertiliser   203
Determining the degree of accuracy for the bisection method   216
The Arawa and the Tainui
Exploring residuals   281
The graph of the binomial distribution   319
Pepys, Newton and the dice   324
Airline safety   328
Bonus RAM   331
Hokey-pokey ice-cream   337
The graph of the Poisson distribution   342
Frequency of tropical cyclones   343
Calculus properties of the normal curve   374
The 'tall fish' story   386
Euler's number   395
Catenary categories   402
Zettabytes and yottabytes   412
Kleiber's Law and quarter-power scaling in biology   419
One comes first   425
Room numerals   431


Puzzles

One foot after another   61
The goat and the fenced garden   67
Ten whole numbers   124
The traffic light   131
Simply factorial!   152
The round table   156
Perfect confusion   165
Conditionally perfect   168
Technology will not help   182
Four unknowns   194
PQRST   197

 

 




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