Puzzle 1
I was travelling from Chesterton to Newcastle recently when I came across a sign which had fallen off its post at the crossroads.
It was marked to Newcastle, Chesterton, Knutton and Silverdale.
Unfortunately I didn't know which road to take to Newcastle and had hoped the sign would help.
Luckily I had a brainwave which helped me put the sign back pointing correctly to Newcastle.
What was my idea?
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Hint
How many different ways could the sign be placed back?
Answer
I simply pointed Chesterton back the way I had come and this left the sign in its correct orientation.
Puzzle 2
Complete this grid, using the letters AAADDEEEEKSSSS.
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
One of the words begins with the letter D.
Answer
R
E
A
D
E
A
S
E
A
S
K
S
D
E
S
K
Puzzle 3
What shape completes the bottom line?
triangle pentagon square
square hexagon hexagon square
pentagon hexagon hexagon hexagon square triangle
hexagon octagon octagon octagon octagon ?
Puzzle Copyright © Kevin Stone
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Hint
Look at the number of sides of each of the shapes.
Answer
Square.
Reasoning
If we add the shape's sides, the total increases by 8, then 10, then 12, etc (2 more each time).
triangle (3) + pentagon (5) + square (4) = 12
square (4) + hexagon (6) + hexagon (6) + square (4) = 20
pentagon (5) + hexagon (6) + hexagon (6) + hexagon (6) + square (4) + triangle (3) = 30
Therefore:
hexagon (6) + octagon (8) + octagon (8) + octagon (8) + octagon (8) + square (4) = 42
Alternative Reasoning
Square the first shape's sides, and the remaining shapes add up to this number.
triangle (3 x 3) = pentagon (5) + square (4)
square (4 x 4) = hexagon (6) + hexagon (6) + square (4)
pentagon (5 x 5) = hexagon (6) + hexagon (6) + hexagon (6) + square (4) + triangle (3)
Therefore:
hexagon (6 x 6) = octagon (8) + octagon (8) + octagon (8) + octagon (8) + square (4)
Puzzle 4
Bank Robbery #1 all logic puzzles
After a local bank robbery, five suspects were interviewed.
Below is a summary of their statements.
Police know that each of them told the truth in one of the statements and lied in the other.
From this information, can you work out who committed the crime?
Billie said:
It wasn't Chris
It was Alex
Drew said:
It was Chris
It wasn't Alex
Chris said:
It was Billie
It wasn't Emery
Alex said:
It was Emery
It wasn't Billie
Emery said:
It was Drew
It was Alex
Puzzle Copyright © Kevin Stone
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Hint
Take a close look at Emery's statements.
Answer
Drew.
Reasoning
Since each suspect told the truth just once, Emery's statements mean that it was either Drew or Alex.
If it was Alex, then both of Billie's statements would be true, which isn't allowed (and similarly both of Drew's would be false).
Therefore, it was Drew.
This can be double-checked with all of the other statements.
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