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].

Welcome to the District 10 Math Problem of the Week
Submit solutions by next Friday to tubbsjac@nbed.nb.ca

Problem of the Week #12: December 3-14th 2007

Grade 6: Coins – Coins
Jill counted her money and knows she has $5.60. When she looked closer she discovered that she had only quarters, dimes and nickels and she had exactly the same number of each coin. How many of each coin did Jill have?

Grade 7: When a certain two digit whole number is increased by the sum of its digits then the total equals 73. What is the whole number that satisfies this condition?

Grade 8: Fishy Fishermen
Bob and Joe are two octopus fishermen. The season for octopus lasts only 10 days.
Bob caught 100 octopi every day of the season. Joe only caught 1 octopus the first day of the season, but every day after that he caught twice as many as the day before. Who caught more octopi and how many did they catch?

Grade 9: Bicycle Racers

Anna was entered in a bicycle race on a closed circuit track. After several hours of pedaling, she realized that the sum of one-fifth of the racers in front of her, and five-sixth of the racers behind her, total to make the number of racers in the race. If there are fewer than 50 bicycles on the track, how many cyclists are in the race?

Grade 10: Going the Distance

Brad does a lot of walking. He takes eight steps every five seconds, and each step is 40 cm long. If Brad continues at this rate, how long in minutes and seconds will it take him to go one kilometre?