Assuming a normal two-sided record, then I'm going with Sk8 on this one. Each side would have a single massive spiraled groove running from the rim to the inner edge.

And on the Anagram:

Eleven plus two: 3 e's, 2 l's, 1 v, 1 n, 1 p, 1 u, 1 s, 1 t, 1 w, and 1 o.

Shuffle these around, and you end up with the following: (Note: Plus doesn't need to be shuffled)
______ plus ___
__e__e plus __e
__el_e plus __e
__elve plus __e
__elve plus _ne
T_elve plus _ne
Twelve plus _ne
Twelve plus one.

What's the difference between a kerosene lantern and a detective?

One lights sheds, the other sheds light.

If dirt weighs 25 pounds per cubic foot, how many pounds of dirt are in a hole 10 feet long, 5 feet wide, and 2 feet deep?

At 100 Cubic Feet, 25 lbs per, 2500 lbs, or 1.25 tons, of material has been removed from the hole...of course, being a hole, it has no dirt actually in it. (Value of material removed based on assumption that each foot of measurement is in fact squared off at the edge.)

How far can you walk onto a bridge?

As with any other 'how far onto/into' riddle, the answer is ($Object.length * 0.5), aka 'halfway'.

At 100 Cubic Feet, 25 lbs per, 2500 lbs, or 1.25 tons, of material has been removed from the hole...of course, being a hole, it has no dirt actually in it. (Value of material removed based on assumption that each foot of measurement is in fact squared off at the edge.)

As with any other 'how far onto/into' riddle, the answer is ($Object.length * 0.5), aka 'halfway'.

What do you get if you cross a raspberry pie with a policeman?

What do you get if you cross a banana cream pie with a policeman?

Arrested for bribing an officer of the law.

How much water is in a bottle which has a cork in it?

Depends. Was the bottle corked before or after the water was poured in?

How long is a piece of string?

Depends. Are you referring to a piece of (yarn/rope/cord/thread), in which case the answer can only be determined by measuring the length with a marked straightedge (aka ruler), or are you referring to a collected array of individual computational characters? If that's the case, it will be either length n or length n+1, as it will have n characters and a terminating null that may or may not be counted.

You play a 12-inch record. The first playing groove is 1/4" from the rim of the record, with a lead-in groove carrying the arm to it in one rotation. The last playing groove is 3 inches from the center, with the runout groove ending in a locked groove one rotation later at 2.5 inches from the center. As soon as the needle reaches the innermost point of the runout groove, the pickup lifts off the record. The music portion of the record is recorded at a pitch of 200 grooves per inch.

How far does the needle travel while playing the entire side?

If you don't have a calculator, you may use pi = 22/7. Also assume that the pickup overhang value is small enough to not affect the answer.