Puzzle 1
What is the next number in this sequence:
2 · 5 · 8 · 11 · ?
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Hint
What is the difference between each number?
Answer
14.
Add 3 to the previous term.
Puzzle 2
Below are ten words that have been split in half.
The first column has the first 2 letters, and the second column has the last 2 letters.
Can you pair the letters and remake the ten common words?
bo af
br re
fo ne
go af
ho ke
jo ew
le ud
lo am
lo nd
so pe
Puzzle Copyright © Kevin Stone
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Hint
One of the words is GONE.
Answers
bo + nd = bond
br + ew = brew
fo + am = foam
go + ne = gone
ho + pe = hope
jo + ke = joke
le + af = leaf
lo + af = loaf
lo + ud = loud
so + re = sore
If we remove the restriction of remaking common words, alternative answers can be found using: foud, goaf, leud, sone.
Puzzle 3
Can you find three consecutive even numbers that …
… total 85,008 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
Try starting with the cube root of the number.
Answer
42, 44, and 46.
Reasoning
As we require 3 numbers that are multiplied together, we can start with the cube root of 85,008 ≈ 43.97.
We can now check that 44 divides 85,008 exactly: 85,008 ÷ 44 = 1,932, which means that 44 is likely to be one of the numbers.
And as we know that we need consecutive even numbers, we soon find 42 and 46 as the remaining numbers.
Double-Checking
42 x 44 x 46 = 85,008.
Puzzle 4
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.
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