Medium Puzzles 

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.

Workings

Hint
Start by looking at where Alex finished, and where the person who wore #3 finished, and then use clue (6).

Answer
Pos Name   Wore    Colour
1   Alex   #2      red
2   Glen   #3      yellow
3   Stevie #1      green
4   Drew   #4      blue

Reasoning
The four colours were: blue, green, red, yellow.
The four contestants were: Alex, Drew, Glen, Stevie.

By (1), Alex was first.
   1   Alex
   2
   3
   4

By (4), the person who was second wore number #3.
   1   Alex
   2          #3
   3
   4

Looking at (6):
 - first place (Alex) can't have worn #1, because, by (3), Stevie wore #1
 - second place wore #3
 - third place can't have worn #3, because it was worn by second place
 - fourth place is the only entrant who could have worn the same number as their final position

Therefore, Stevie finished in third, and Alex wore #2.
   1   Alex   #2
   2          #3
   3   Stevie #1
   4          #4

By (2), Alex wore red. By (3), the person wearing blue was last.
   1   Alex   #2      red
   2          #3
   3   Stevie #1
   4          #4      blue

By (5), yellow beat green.
   1   Alex   #2      red
   2          #3      yellow
   3   Stevie #1      green
   4          #4      blue

By (4), Glen beat Stevie.
   1   Alex   #2      red
   2   Glen   #3      yellow
   3   Stevie #1      green
   4          #4      blue

Leaving Drew in last place.
   1   Alex   #2      red
   2   Glen   #3      yellow
   3   Stevie #1      green
   4   Drew   #4      blue

Workings

Hint
The first word starts with H.

Answer
Hard and soft.

Workings

Hint
How many 2 x 2 squares are there?

Answer
128.

Reasoning
There are 62 squares of size 1 x 1.
There are 41 squares of size 2 x 2.
There are 18 squares of size 3 x 3.
There are  6 squares of size 4 x 4.
There is   1 square  of size 5 x 5.

A total of 62 + 41 + 18 + 6 + 1 = 128.