Merry Christmas to All. This will be the last Problem of the Week until the New Year. Problem of the Week will return on January 7th, 2008.


Problem of the Week #13 December 17th, 2007


Grade 6: Christmas Gifts

Start with the number of Santa’s original reindeer ( even number), subtract the number of Gold Rings in the 12 Days of Christmas, times by the number of hours in the day, minus the number of days in November, divide by the number of days in a week equals the number of Great Gifts Joey got for Christmas. How many gifts did Joey get?

Grade 7:

The sum of the ages of Henry and his father is 33 years. 15 years from now Henry is going to be half as old as his mother, and 18 years from now he is going to be half as old as his father. How old are Henry and now?

Grade 8:

Missing Number

Find the missing number in the pattern below, and justify your reasoning for the solution.
1, 3, 6, 11, 18, ___ , 42

Grade 9: Ant in the box

A rectangular box with no top has a 2 × 3-metre base and volume of 6 cubic metres. An ant crawls from one corner at the top of the box to the diagonally opposite corner at the top of the box. What is the minimum possible distance D the ant can crawl provided its path takes it into the base of the box?

Grade 10: Real Value Sum

Find the sum of the (2) real values of x satisfying the equality
[x + 2] = [2x - 2].