Random Puzzles 

Workings

Hint
One possibility answer might be associated with an apiary.

Answer
Common words: beekeeper, beekeepers, beekeeping, freebee, freebees, freewheel, freewheeled, freewheeling, freewheels, peewee, peewees, reengineer, reengineered, reengineering, reengineers, squeegee, squeegeed, squeegeeing, squeegees, teepee, teepees.

All words: beebee, beebees, beekeeper, beekeepers, beekeeping, beekeepings, beetleweed, beetleweeds, cheekteeth, deepfreeze, deepfreezes, deepfreezing, deerweed, deerweeds, freebee, freebees, freesheet, freesheets, freewheel, freewheeled, freewheeler, freewheelers, freewheeling, freewheelingly, freewheelings, freewheels, geechee, geechees, greegree, greegrees, greenkeeper, greenkeepers, greenleek, greenskeeper, greenskeepers, greenweed, greenweeds, leechee, leechees, peebeen, peebeens, peesweep, peesweeps, peetweet, peetweets, peewee, peewees, preengineered, reengineer, reengineered, reengineering, reengineers, sleeveen, sleeveens, sneezeweed, sneezeweeds, squeegee, squeegeed, squeegeeing, squeegees, streetkeeper, streetkeepers, teepee, teepees, teetee, treecreeper, treecreepers, tweedledee, tweedledeed, tweedledeeing, tweedledees, veepee, veepees, weewee, weeweed, weeweeing, weewees.

Workings

Hint
The 8-letter word begins with the letter G.

Answer
Generous.
lend + ge = le + ge + nd = legend

liar + ne = li + ne + ar = linear

pale + ro = pa + ro + le = parole

coin + us = co + us + in = cousin

Workings

Hint
From common children's song.

Answer
CPHTA.

From:

   Humpty Dumpty sat on a wall.
   Humpty Dumpty had a great fall.
   All the king's horses and all the king's men
   Couldn't put Humpty together again.

Workings

Hint
You'll need to think a little laterally.

Answer
If you look very carefully, you will see that there are actually two matchsticks under the other seven, so you can take away eight matchsticks and still leave one behind.