Puzzle 109
Starting with any number on the top row, make your way to the bottom, adding the numbers as you go.
Each time you must move to the next row, but you can move either straight down, or one place to the left or right.
What is the highest total you can make? What is the lowest?
| 1 |
5 |
1 |
5 |
1 |
5 |
| 3 |
3 |
2 |
3 |
3 |
4 |
| 2 |
3 |
4 |
4 |
3 |
2 |
| 2 |
2 |
3 |
2 |
2 |
4 |
| 2 |
2 |
4 |
3 |
4 |
2 |
| 4 |
4 |
4 |
4 |
2 |
3 |
Note: this puzzle is not interactive, and the numbers cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
The lowest route contains more 2's than the highest route.
Answers
Highest = 24. Lowest = 12.
Highest
Lowest
Puzzle 110
If a bottle weighs eight ounces plus half a bottle …
… what is the weight of a bottle and a half?
Puzzle Copyright © Kevin Stone
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Hint
Find the weight of the bottle first.
Answer
24 ounces.
The bottle weighs 16 ounces.
Reasoning
As a bottle (B) weighs eight ounces plus half a bottle, we can write this as:
B = 8 + 1/2 x B
1/2 x B = 8
B = 16
As the bottle weighs 16 ounces, a bottle and a half weighs 16 + 8 = 24 ounces.
Puzzle 111
What number comes next in this sequence:
3 · 24 · 102 · 312 · 777 · ?
Puzzle Copyright © Kevin Stone
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Answer
1680.
This is n to the power of 5, starting with 2^5 = 32, with the last digit missing, 7^5 = 16807.
Puzzle 112
Starting with COLD, change one letter at a time until you have the word WARM.
Each change leaves the other letters in their original places and must result in a common word.
What is the minimum number of steps required to achieve this change?
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Hint
The second word is CORD.
Answer
COLD, CORD, WORD, WARD, WARM
or
COLD, CORD, WORD, WORM, WARM
or
COLD, CORD, CARD, WARD, WARM.