Here is a project through AMATYC that provides some resources for excellent problem solving tasks. These problems could be accessible to students at the intermediate algebra level and would be good resources for a MATHWAY or STATWAY course. The project is called The Right Stuff and you can find a link here
AMATYC The Right Stuff

UMDNJ PBL Resources

Nature (PBS)

NCSU PBL resources

Thirteen Ed Online

Integrated Curriculum Collaborative