Puzzle 1
What number comes next in this sequence:
1 · 2 · 2 · 4 · 8 · 11 · 33 · 37 · 148 · ?
Puzzle Copyright © Kevin Stone
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Hint
The sequence involves both adding and multiplying in some way.
Answer
153.
The sequence is created using: +1 x1 +2 x2 +3 x3 +4 x4 +5.
Puzzle 2
What comes next in this sequence:
Dave · Edward · Duncan · Neil · Liam · ?
Choose from:
Alan, Kevin, John, Michael, Steve
Puzzle Copyright © Kevin Stone
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Hint
Look at the letters more closely.
Answer
Michael.
Each name begins with the last letter of the preceding name.
Puzzle 3
A large freshwater reservoir has two types of drainage system. Small pipes and large pipes.
6 large pipes, on their own, can drain the reservoir in 12 hours.
6 small pipes, on their own, can drain the reservoir in 18 hours.
How long will 6 large pipes and 6 small pipes take to drain the reservoir?
Puzzle Copyright © Kevin Stone
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Hint
How many reservoirs can each drain in 36 hours?
Answer
7 hours and 12 minutes.
Reasoning
We can use a time that 12 hours and 18 hours both fit in to, in 36 hours:
6 large pipes can drain 3 reservoirs.
6 small pipes can drain 2 reservoirs.
Therefore, together, 6 large and 6 small pipes can drain 5 reservoirs.
36 hours ÷ 5 = 7.2 hours for one reservoir.
7.2 hours = 7 hours and 12 minutes for one reservoir.
Puzzle 4
Can you find every occurrence of the word MARCH that appears in this grid (horizontally, vertically, or diagonally)?
The hint will reveal the number of times it occurs, but where are they?
Note: this puzzle is not interactive, and the letters cannot be selected.
Puzzle Copyright © Kevin Stone
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Hint
The word MARCH appears 46 times.
Answer
The word MARCH appears 46 times.
