Puzzle 4

Puzzle 1: Distances from you to certain cities are written below.

BERLIN 200 miles

PARIS 300 miles

ROME 400 miles AMSTERDAM 300 miles

CARDIFF??? Miles

How far should it be to Cardiff?

Puzzle 2: If you throw me from the window,

I will leave a grieving wife.

Bring me back, but in the door, and

You'll see someone giving life!

What am I?

Puzzle 3: The below is a number puzzle. It should be read left to right, top to bottom.

1

1 1

2 1

1 2 1 1

1 1 1 2 2 1

? ? ? ? ? ?

? ? ? ? ? ? ? ?

Question 1: What is the next two rows of numbers?

Question 2: How was this reached?

Puzzle 4: In front of you, there are 9 coins. They all look absolutely identical, but one of the coins is fake. 

However, you know that the fake coin is lighter than the rest, and in front of you is a balance scale. What is the least number of weightings you can use to find the counterfeit coin?

Puzzle 5: If you had a pizza with crust thickness 'a' and radius 'z', what's the volume of the pizza?