Have a good Remembrance Day Holiday
Problem of the Week: November 13th 2007
e-mail your solutions to tubbsjac@nbed.nb.ca by Friday, Nov. 16th

Grade 6: Dog Biscuits

A salesman packs dog biscuits in boxes containing 16, 17, 23, or 24 kilograms each. He will not sell them in any other sizes or split a box. A customer wants exactly 100 kilograms of the biscuits, no more or no less. How can the salesman fill the order?

Grade 7: Cookies
There are twice as many girls as boys in Mr. Smith’s 7th grade math class. Each of the girls gave him an oatmeal cookie and each of the boys gave him a chocolate cookie. Mr. Smith arranged the cookies in one row with a chocolate cookie farthest to the right. Which of the following must be true?

A. The cookie farthest to the left is chocolate.
B. The cookie farthest to the left is oatmeal.
C. There are at least two chocolate cookies next to each other.
D. There are at least two oatmeal cookies next to each other.
E. Mr. Smith received more chocolate cookies than oatmeal cookies.


Grade 8: Palindromes

The number 11 is a palindrome. A palindrome is an integer that reads the same backward and forward. The integer 12,321 is a palindrome since writing the numbers in reverse order is also 12,321. What is the greatest possible four-digit palindrome that is a multiple of 6?



Grade 9: Town Clock

Parker was listening to the new town clock chime on the hour. She started timing it as soon as she heard the clock strike the first chime and continued timing until it struck the fourth chime. It took the clock 6 seconds to strike four o'clock. How long would it have taken the same clock to strike twelve o'clock?
Hint: remember that a chime consists of a sound and a pause.

Grade 10:

Write the following product as a common fraction: (1/3)(6/10)(15/21)(28/36)(45/55).