Squak Mountain Bus Hike
(Note that bus schedule links are for weekends.)
From downtown Seattle, take the Sound Transit 554 Express toward Issaquah. Get off at the Eastgate Park & Ride and transfer to the Metro 271. You can get off at Front St. & Newport Way. Take the paved Squak Mountain Access Trail from the intersection of Wildwood Rd and Newport Way. Continue on the Access Trail about 2 miles to the start of the East Ridge Trail. Hike up the East Ridge and after 1.7 miles take a right on East Side Trail C5 toward the waterfall. Past the waterfall, turn left on the C4 Trail up to the Central Peak. Then descend the Summit Trail C6 to loop back down to the East Ridge Trail.

Definitely bring a map, since the maze of trails as Squak Mountain State Park will get you lost quickly: Green Trails 203S covers all of Cougar and Squak Mountains. My rough estimate is that the entire loop, including the walk on the access road, is no more than 10 miles. Return buses leave from Newport & Sunset Way every half hour on Saturdays until 5:30. After that, and on Sundays the return buses leave every hour. Make sure you print out schedule and bring it will you so you aren't stranded!