Puzzle 1
This BrainBashers safe has a rather unusual control panel.
In order to open the safe, you have to press every single square once only, in the correct sequence, ending on the square marked E.
Each square indicates which square to press next, for example, 2U means move up 2 squares and 3R means move right 3 squares.
Can you determine which square you must start with?
| 4R |
4D |
1R |
1D |
2D |
4L |
1D |
| 1R |
4D |
5D |
2R |
2D |
1L |
4L |
| 2R |
1D |
1L |
2R |
2R |
2D |
2U |
| 2R |
2R |
3U |
3D |
1R |
3U |
6L |
| 3U |
3R |
1D |
2U |
4L |
2D |
3L |
| 3U |
1L |
1R |
1R |
1R |
1R |
2U |
| 6U |
E |
2U |
2L |
4L |
1L |
2U |
Note: this puzzle is not interactive, and the safe buttons cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
Start on any square, and see how far you can get.
Answer
Start from the 2U in the bottom right-hand corner.
Puzzle 2
Below you will find ten common 6-letter words, however, every other letter is missing.
Can you determine the original words?
-s-e-d
-p-a-g
-r-f-r
-y-r-d
-r-f-e
-a-b-n
-a-e-a
-m-z-s
-s-f-l
-i-s-e
Puzzle Copyright © Kevin Stone
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Hint
The next-to-last letters are: N, N, E, I, L, O, R, E, U, U.
Answers
-s-e-d = ascend
-p-a-g = sprang
-r-f-r = prefer
-y-r-d = hybrid
-r-f-e = trifle
-a-b-n = carbon
-a-e-a = camera
-m-z-s = amazes
-s-f-l = useful
-i-s-e = tissue
Puzzle 3
I am compiling the new BrainBashers world almanac, and it now contains lots more pages.
I know that it takes 333 digits to print the page numbers in sequence.
How many numbered pages does the book have?
How many times does the number 3 appear?
Puzzle Copyright © Kevin Stone
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Hint
Think of the pages from 1 to 9, and then 10 to 99.
Answers
There are 147 pages.
The number 3 appears 35 times.
Answer #1
For pages 1 to 9, there are 9 pages, which is 9 digits.
For pages 10 to 99, there are 90 pages, which is 180 digits.
This is a total so far of 189, therefore we require another 333 − 189 = 144 digits, which is another 144 ÷ 3 = 48 pages.
Taking us to 9 + 90 + 48 = 147 pages in total.
Answer #2
From page 1 to 147 we have 15 pages that end in 3:
3, 13, 23, …, 143
We also have the ten pages that start with 30:
30, 31, 32, …, 39
Plus the ten pages that start with 130:
130, 131, 132, …, 139
For a total of 15 + 10 + 10 = 35 number 3's.
Puzzle 4
One name is in the wrong position. Which one?
Joshua, Jacob, Cedric, Luke, Geoff, Edward, Craig, Keith.
Puzzle Copyright © Kevin Stone
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Hint
Take a close look at some of the letters.
Answer
Edward.
The last letters are in alphabetical order, so Edward should be the 4th name, and not the 6th.