If you answered no to any of these questions then this post is for you. In addition to the supplied exercises I will point you to several other resources for improving your triad skills.

Major Triad Exercise 1 (2274)
Major Triad Exercise 2 (1221)
Major Triad Exercise 3 - Around the Cycle (1250)
Major Triad Exercise 4 (905)
Major Triad Exercise 5 (863)
Major Triad Exercise 6 (1040)

Additional Resources:

In chapter 4 of the following Bert Ligon book, “Triadic Generalization” is discussed.

In chapter 15 of the following Bert Ligon book, “Extended Tertian Structures & Tridac Superimposition” is discussed.

In chapter 3 of the following book Bert Ligon provides many nice ideas and exercises related to “Triads & Generalization”.

In the following book Ernie Watts provides some very nice triad exercises.

The following book by Walt Weiskopf on “Intervalic Improvisation” is based upon using triad pairs and their various inversions.

Exercises 1-12 of “Patterns For Jazz” contain excellent triad exercises. If you don’t yet have this book you should add it to your “Must Have” list.

Be sure to check out the following items from Steve Neff at Neff Music:
“The Ultimate II-V-I Primer” this is an excellent beginning book.
The following Steve Neff lessons are also very good for triads:
“In A Mellow Tone with Triads-Video”
“Major Triad Samba”

Be sure to check out Evan Tates 250 Jazz Patterns

Have fun mastering the major triads!