Medium Puzzles 

Workings

Hint
One of the words is SAUSAGE.

Answer
Sixteen, shampoo, seaweed, sausage, spanner, speaker, syringe, snorkel.

Workings

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

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

For pages 10-99, 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
The first letters of the animals are B, C, D, F, J, W.

Answer
Beaver, coyote, donkey, ferret, jaguar, walrus.
EAR + BVE = BEAVER

CYO + OTE = COYOTE

OKY + DNE = DONKEY

RRT + FEE = FERRET

AGU + JAR = JAGUAR

WLS + ARU = WALRUS

Workings

Hint
The fourth player is the key to this tricky question.

Answer
9 points.

Respectively the scores were 7, 14, 20, 30, 23, 9.

Reasoning
If we label the six players A, B, C, D, E, and F, we know that:

[1]  A + B + C + D + E + F = 103

and from the clues:

   A = B ÷ 2
   B = C - 6
   C = D x 2 ÷ 3
   E = D - A
   F = E - 14

If instead we choose E = A - D, we'd later see that we end up with a negative value for E, which isn't allowed.

Since D is the letter we're missing information for, it's best to find all of the other letters in terms of D.

These steps are left as an exercise (e.g. use C in the equation for B, etc), but the result is:

   A = ( D -  9) ÷ 3
   B = (2D - 18) ÷ 3
   C = (2D     ) ÷ 3
   D = (3D     ) ÷ 3
   E = (2D +  9) ÷ 3
   F = (2D - 33) ÷ 3

Wrting it as D = 3D ÷ 3 makes it slightly clearer to see, when adding in the next step.

We can then use these in [1] to find that 12D = 360, so D = 30.

Therefore, F = 9.