Puzzle 17
What number comes next in this sequence:
1 · 4 · 1 · 5 · 9 · 2 · ?
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Hint
The full sequence starts with 3.
Answer
6.
These are the decimal places of π ≈ 3.1415926.
Puzzle 18
Alex can eat 27 chocolates in an hour, Billie can eat 2 chocolates in 10 minutes, and Charlie can eat 7 chocolates in 20 minutes.
How long will it take them to share and eat a large box of 120 chocolates while watching a movie?
Puzzle Copyright © Kevin Stone
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Hint
How many chocolates can they eat in one hour?
Answer
2 hours.
Reasoning
In one hour, Alex eats 27 chocolates, Billie eats 12, and Charlie eats 21.
A total of 60 chocolates.
Therefore, 120 chocolates would take 2 hours.
Puzzle 19
I started out on the journey from the forest with a full tank of fuel, 12 gallons exactly.
However, the moment I started out, the fuel tank sprung a leak. I travelled at 50 mph until I ran out of fuel exactly 4 hours later.
I know that the car does 25 miles for each gallon.
How much fuel had I lost through the hole?
Puzzle Copyright © Kevin Stone
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Hint
How many miles did I travel?
Answer
I had lost 4 gallons.
Reasoning
I travelled at 50mph for 4 hours, which is 200 miles.
I used 25 gallons every 25 miles, so I used 8 gallons travelling those 200 miles.
I started with 12 gallons and used 8 gallons, so I lost the other 4 gallons.
Puzzle 20
How much soil is there …
… in a circular hole 2 metres deep and 1 metre across?
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Hint
How much soil is in any hole?
