Random Puzzles 

Workings

Hint
The first letters of the words are: C, A, C, B, L, L, P, S, C.

Answers
coagulate = catalogue cavitates = activates bacterial = calibrate balancers = barnacles headlamps = lampshade milestone = lemoniest or limestone telephony = polythene dignifies = signified unnoticed = continued

Workings

Hint
One of the words is Warm.

Answer
Insufficiently heated = cold
Insulated electrical wire = cord
The middle of an apple = core
Additional items = more
A female equine = mare
Pottery = ware
A bump on a toad? = wart
Insufficiently cooled = warm

Workings

Hint
There are many answers, however, Z doesn't appear very often.

Answers
Choose from: luxury, struts, stylus, syrupy, trusts, twisty.

Other less common words include: scuzzy, syrups, syzygy, trouty, trusty, tryout, trysts.

Workings

Hint
A little bit of algebra might help.

Answers
Drew is 7 years old. Glen is 4 years old.
Answer #1
The first question involves Drew (D) and Alex (A).

Drew is currently one fifth of Alex's age, so:

(1)      A = D x 5

In 21 years, Alex will be twice their age, so:

(2) A + 21 = (D + 21) x 2

Using (1) in (2) gives:

  A + 21 = (D + 21) x 2

 5D + 21 = (D + 21) x 2

 5D + 21 = 2D + 42

      3D = 21

       D = 7

So Drew is 7 (and Alex is 35).

Answer #2
The second question involves Glen (G) and Billie (B).

Billie is exactly seven times the age of Glen:

(3)     B = G x 7

In 8 years, Billie will be three times the age of Glen, so:

(4) B + 8 = (G + 8) x 3

Using (3) in (4) gives:

  B + 8 = (G + 8) x 3

 7G + 8 = (G + 8) x 3

 7G + 8 = 3G + 24

     4G = 16

      G = 4

So Glen is 4 (and Billie is 28).