Mathemania 2007 puzzles and solutions are available now.
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1. What's the missing number?
12 48 16 32 64 12 82 ??
2. Mines
In the following square there are 5 mines. The numbers in the squares indicate the number of mines in neighboring squares including itself. Find the places of all 6 mines.
1 |
2 |
2 |
1 |
0 |
1 |
2 |
2 |
2 |
1 |
1 |
2 |
3 |
3 |
2 |
1 |
1 |
2 |
2 |
2 |
1 |
1 |
2 |
1 |
1 |
3. Find the missing number
3-5-15
5-13-20
7-14-35
9-15-?
4. Which number?
ABCD*4=DCBA
Find the 4-digit number ABCD whose digits are all distinct. (or ABCD*9=DCBA)
5. Fill in the blank squares
Insert numbers 1,2,3,4,5,6,7,8,9,10,11,12 in the blank squares so that 4 horizontal and vertical squares will add up to 26.
6. 3 friends want to share 21 bottles of water equally among each other. 7 of the bottles are full, 7 of them empty and 7 of them half full (or half empty). How should they distribute to get the equal amount for everyone? (Each bottle is 1 litre)
7. Use four 7s and one 1 to reach 100. (Digits cannot be written side by side to make a new number)
8. How about Chess?
Put 3 Kings to threaten all the squares on the chessboard. (Kings can move anywhere including diagonal wise)
9. Can you Count?
How many days are there between 31st of September and 12th of December?
10. Perfect number
A perfect number is a number whose positive factors (other than itself) add up to itself. The smallest perfect number is 6. The factors of 6 are 1,2,3. The sum of all is 1+2+3 and that is 6. Find the next perfect number.
11. What's the missing number?
12. Use '+', '-' ,':', '*' signs in between numbers and satisfy the equality.(Digits can be used as a 1-digit number only)
9 8 7 6 5 4 3 2 1 = 10
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