Puzzle 85
Starting in the bottom left corner and moving either up or right, how many ways are there to get to the top right corner and make a total of 10?
Note: this puzzle is not interactive, and the numbers cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
You can only go up, or right.
Answer
6.
With U = Up, and R = Right, you can move in the following ways:
UURR
URUR
URRU
RUUR
RURU
RRUU
Puzzle 86
What number comes next in this sequence:
1 · 23 · 124 · 1251 · 26127 · 128129 · ?
Puzzle Copyright © Kevin Stone
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Hint
Try removing the spaces from the sequence.
Answer
1301311 or 1210121.
Reasoning
Removing spaces from the original sequence gives:
1 23 124 1251 26127 128129
123124125126127128129
Now adding spaces back in, in the correct place:
123 124 125 126 127 128 129
The next few terms could be:
130 131 132
or
1210 1211 1212
Add these to the end:
123 124 125 126 127 128 129 130 131 132
or
123 124 125 126 127 128 129 1210 1211 1212
Remove the spaces again:
123124125126127128129130131132
or
123124125126127128129121012111212
Now break the sequence into chunks of increasing size:
1 23 124 1251 26127 128129 1301311
or
1 23 124 1251 26127 128129 1210121
So the missing term is 1301311 or 1210121.
Puzzle 87
How many cubic feet of earth are removed …
… to make a hole 4 feet wide by 7 feet long by 2 feet deep?
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Hint
Read the question carefully.
Answer
56 cubic feet (= 4 x 7 x 2).
We usually ask how much earth there is in a hole, which of course there is none!
Puzzle 88
What do you get if …
… you add 2 to 200 four times?
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Hint
Try it once, and then try it again.
Answer
You get 202 each time!
