Random Puzzles 

Workings

Hint
What do the fractions add up to?

Answer
There are 980 coins in the collection.

Reasoning
Using fractions:

   ¹/₂ + ¹/₄ + ¹/₅ = ¹⁹/₂₀

The remaining ¹/₂₀ is 49 coins.

Therefore, the ²⁰/₂₀ must equal 20 lots of 49 = 980.

Alternative Reasoning
Using percentages:

   50% + 25% + 20% = 95%

The remaining 5% is 49 coins.

If 5% is 49 coins, 10% is 98 coins, 100% is 980 coins.

Double-Checking
¹/₂ of 980 is 490
¹/₄ of 980 is 245
¹/₅ of 980 is 196
and the remaining 49 coins.

And 490 + 245 + 196 + 49 = 980.

Workings

Hint
There are 1,760 yards in a mile, 3 feet in a yard, and 12 inches in a foot.

Answer
Inches in a mile.

Reasoning
There are 1,760 yards in a mile, 3 feet in a yard, and 12 inches in a foot.

There are 1760 x 3 x 12 = 63,360 inches in a mile, and around 1,000 x 52 = 52,000 Sundays in a thousand years.

Depending on the day of the week the first day of the year falls, there are either 52,177 or 52,178 Sundays in a thousand years.

Workings

Hint
The 9^th word is GOAT.

Answers
Rhinoceros.
iron chew firm only coop acid fend writ goat tsar

Workings

Hint
The answer is not 31.

Answer
The largest sum that can be made is 34.