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

Newton's Law of Cooling

Differential Eqautions. (Calculus)

Investigation 2

Ice Cream Container

Use calculus and graphing to find the maximum surface area.

Investigation 3

Maximum Number

Maxima and minima calculus problem.

Investigation 4

Marketing new bicycles

An optimisation, linear programming problem

Investigation 5


A Fibonacci problem with fast-breeding rabbits!

Investigation 6

Get off the grass

Some algebraic manipulation needed.

Investigation 7
Measurement and algebra.