Puzzle 1
I am compiling the BrainBashers world almanac and it now contains quite a few pages. But just how many?
I know that it takes 121 digits to print all of the page numbers in sequence.
So, how many numbered pages does the book have, and how many times does the number 9 appear?
Puzzle 2
In this long division, each number has been replaced by another. The answer has also been removed. Can you determine the answer?
....
———————
75 | 796767
791
——
57
30
——
86
82
——
47
47
——
9
Puzzle 3
My first is in mammoth, but not in elephant.
My second is in raccoon, but not in beaver.
My third is in dobbin, but not in horse.
My fourth is in koala, and in kangaroo.
My fifth is in tiger, but not in lion.
My last is in pony, but not in horse.
What am I?
Puzzle 4
Starting with the 6 in the bottom left corner, what is the highest total you can make, if you only move up or right, using the mathematical signs on the way?
| + | 4 | − | 1 | + | 3 |
| 2 | + | 4 | − | 1 | + |
| − | 3 | + | 2 | − | 2 |
| 2 | − | 4 | + | 3 | − |
| + | 3 | − | 1 | + | 2 |
| 6 | + | 1 | − | 2 | + |
Note: this puzzle is not interactive, and the numbers cannot be clicked.