Medium Puzzles 

Workings

Hint
The next-to-last letters are: N, N, E, I, L, O, R, E, U, U.

Answers
-s-e-d = ascend -p-a-g = sprang -r-f-r = prefer -y-r-d = hybrid -r-f-e = trifle -a-b-n = carbon -a-e-a = camera -m-z-s = amazes -s-f-l = useful -i-s-e = tissue

Workings

Hint
Think of the pages from 1 to 9, and then 10 to 99.

Answers
There are 147 pages. The number 3 appears 35 times.
Answer #1
For pages 1 to 9, there are 9 pages, which is 9 digits.

For pages 10 to 99, there are 90 pages, which is 180 digits.

This is a total so far of 189, therefore we require another 333 − 189 = 144 digits, which is another 144 ÷ 3 = 48 pages.

Taking us to 9 + 90 + 48 = 147 pages in total.

Answer #2
From page 1 to 147 we have 15 pages that end in 3:

   3, 13, 23, …, 143

We also have the ten pages that start with 30:

   30, 31, 32, …, 39

Plus the ten pages that start with 130:

   130, 131, 132, …, 139

For a total of 15 + 10 + 10 = 35 number 3's.

Workings

Hint
List all of the cards, and then eliminate some using (1).

Answer
Your friend.

Reasoning
You were dealt the Green Ace.

The possible cards, in order, are:
   Green Jack
   Red Ace
   Blue Ace
   Orange Ace
   Green Ace (your card)
   Red King
   Blue King
   Orange King
   Green King
   Red Queen
   Blue Queen
   Orange Queen
   Green Queen
   Red Jack
   Blue Jack
   Orange Jack

By (1), your friend's card is higher than any Queen, so your friend can only have one of these cards:
   Green Jack
   Red Ace
   Blue Ace
   Orange Ace
   Green Ace (your card)
   Red King
   Blue King
   Orange King
   Green King

By (2), their card is not more likely to beat yours (4 v 4), so their card is not Blue, leaving:
   Green Jack
   Red Ace
   Orange Ace
   Green Ace (your card)
   Red King
   Orange King
   Green King

By (3), your card is not more likely to beat theirs (3 v 3), so your friend's card is not a King, leaving:
   Green Jack
   Red Ace
   Orange Ace
   Green Ace (your card)

All of which beat your Green Ace.

Workings

Hint
Look closely at the beginnings and the ends of the words.

Answer
Ice.

Each word begins with the last two letters of the previous word.