Random Puzzles 

Workings

Hint
What do both items have in common?

Answer
Road.

Both used to make the items flat.

Workings

Hint
Is a million grains of sand a heap?

Answer
We can probably agree on two things:

A million grains of sand is a heap.
If we remove one grain of sand from this heap, we will still have a heap.
We can now keep repeating (2) until we only have a single grain of sand remaining.

Is this a heap? Clearly not. But what went wrong with our thinking?

This is called the Sorites paradox (soros being Greek for "heap") and is a classic paradox that has no real answer.

Both (1) and (2) are true, and we can indeed keep removing one grain of sand until we have a single grain remaining. If we remove one more grain, we're left with nothing, is this still a heap?

When does the heap become a non-heap?

Workings

Hint
The words are all colours.

Answer
Orange, green, turquoise, scarlet.

Workings

Hint
A dollar is 100 cents, a quarter is 25 cents and a dime is 10 cents.

Answer
⁷/₂₇ of each coin was missing.

Reasoning
The original value of the three coins was 100 + 25 + 10 = 135 cents, and the new value was 100 cents.

Therefore, ³⁵/₁₃₅ = ⁷/₂₇ of the original value has been removed.