A series of investigations and problems for Year 13 Students. Get out your pen and paper and see if you can solve these problems. No answers are provided for some of these investigations and problems as they are often open  ended with no definite answers.
Have fun! 
Investigation 1 
Differential Eqautions. (Calculus) 

Investigation 2 
Use calculus and graphing to find the maximum surface area. 

Investigation 3 
Maxima and minima calculus problem. 

Investigation 4 
An optimisation, linear programming problem 

Investigation 5 
A Fibonacci problem with fastbreeding rabbits! 

Investigation 6 
Some algebraic manipulation needed. 

Investigation 7

Measurement and algebra. 