math time

1. In order to encourage his son to work hard in solving problems, a father agreed to pay him P8 for every correctly solved but will fine him P5 for every incorrect solution. At the end of 26 problems, neither owed anything to the other. How many problems did the boy do correctly?

2. On his birthday, Francis was 14 years old and his father was 41. Francis noticed that his age was the reverse of his father’s age. How many years will pass before their ages are again reversals of one another?

3. An ant is at the bottom of an iron pole which is 5 meters high. Each day, the ant climbs up 1 meter and each night it slides back ½ m. How long will it take the ant to climb to the top of the pole?

4. In numbering the pages of a book 408 digits were used. How many pages has the book?'

5. What is the smallest positive number that will give remainders of 7 6, 5, 4, 3, 2, 1 when divided by 9, 8, 7, 6, 5, 4, 3 respectively?

6. From a group of boys and girls, 15 girls leave, and two boys remain for each girl who stays. From this group, 45 boys leave and 5 girls remain for each boy who stays. How many girls were in the original group?

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don't you just loooooove math? hahahaha. thanx, arianne, for giving me these problems :)