A series of investigations.

Get out your pen and paper and see if you can solve these problems.

 

Investigation 1
A problem involving areas and volumes.
Investigation 2
An optimisation problem involving area and perimeter.
Investigation 3
A look at the graphs of the trigonometrical functions:
Investigation 4
Some trigonometry and geometrical thinking required!
Investigation 5
More trigonometry and geometrical thinking required!
Investigation 6
Lots of fractions, distance, speed and time.
Investigation 7
Ratio and proportion for circles.
Investigation 8
Geometry and patterns
Investigation 9
Number work and patterns
Investigation 10
Percentages and formulae
Investigation 11
Combinations and patterns
Investigation 12
A theory about prime numbers

No answers are provided for some of these investigations as they are often open - ended with no definite answers.

 

Have fun!