Random Puzzles 

Workings

Hint
The first letters of the words are: B, A, S, A, B, B, R, N, B, C.

Answer
BINARY = BRAINY
ABROAD = ABOARD
RASCAL = SCALAR
ALTARS = ASTRAL
BADGER = BARGED
BARKED = BRAKED
MARBLE = RAMBLE
UNABLE = NEBULA
TABLET = BATTLE
CALLER = CELLAR or RECALL

There are some less common anagrams such as:
RASCAL = SACRAL
ALTARS = TARSAL
ALTARS = RATALS
ALTARS = TALARS
BADGER = GARBED
BARKED = DEBARK
MARBLE = BLAMER
MARBLE = AMBLER
MARBLE = LAMBER
UNABLE = UNBALE
TABLET = BATTEL

So you can have an extra half point if you found one of these! There are some even rarer anagrams, but I don't think I'll allow those!

Workings

Hint
The answers are related to time.

Answer
60.

The numbers represent 100 years in a century, 365 days in a year, 24 hours in a day, 60 minutes in an hour and 60 seconds in an minute.

Workings

Hint
What numbers divide into 703?

Answer
The 37 pupils each received 19 sweets.

Reasoning
703 can only be broken down into 19 x 37, it has no other factors.

Workings

Hint
The 2^nd word begins with the letter C.

Answers
ban-    = bank    (K) -a-i-et = cabinet (CBN) -aiz-   = maize   (ME) s--th   = sixth   (IX) na-e-   = navel   (VL) -eco-   = decoy   (DY) -ocu-   = focus   (FS) -la-e   = glaze   (GZ) --nk    = junk    (JU) f-x     = fox     (O) be--re  = beware  (WA) e-ui-   = equip   (QP) ot-er   = otter   (T) wis-    = wish    (H) -oast   = roast   (R)
This puzzle isn't guaranteed to have a unique answer, can you find another?