Problem of the Week: Week 3 September 24, 2007
submit solutions to tubbsjac@nbed.nb.ca
If wish the solutions to past problems they are available upon request at the same email.

Grade 6
How many whole numbers between 0 and 200 are divisible by both 4 and 6?

Grade 7
How much greater is (0.1 + 0.01 + 0.001 + 0.0001 + 0.00001) than (0.02 + 0.002 + 0.0002 + 0.00002)?

Grade 8
The trees in a peach orchard were arranged in a square array with N columns and N rows. To enlarge the orchard by one row and one column to make a larger square, the owner bought and planted 29 more peach trees. How many trees are in the orchard after the enlargement?

Grade 9 Problem
What is the smallest product one could obtain by multiplying two numbers in the set {-5, -3, -1, 3, 4}?

Grade 10
For what value of x does the function f(x) = (2x - 5)2 take on its minimum value? Express your answer as a decimal.

Problems for the Week September 17, 2007
E-mail solutions to tubbsjac@nbed.nb.ca

Grade 6: Frog Problem
Little green frogs can catch 3 flies in one hour and Big Bull frogs can grab 8 flies each hour. In an average day, Big Bull frogs sleep 18 hours per day and little green frogs only need to sleep 7 hours per day. Based on this information, answer the following two questions:
1. After 3 full days, who can catch more flies, the Big Bull Frog or the little green frog?
2. How many more flies did each frog catch after 3 days?

Grade 7: Max Triangles –







Determine the maximum number of equilateral triangles in the figure?

Grade 8: What Number am I
I am a four-digit number. My units digit is twice my thousands digit. My tens digit is three times my hundreds digit. My units digit is also 7 less than my tens digit but only one less than my hundreds digit. What number am I?

Grade 9: New @ Operation -
A new operation symbol has been created. Your task is to determine how the @ operation works. Based on each equation below, what would 7 @ 8 would equal.
1 @ 2 = 4
3 @ 4 = 24
4 @ 5 = 40
5 @ 6 = 60
7 @ 8 = ___




Grade 10: The perfect number
A perfect number is A natural number n whose distinct divisors, including 1 but not including n itself, sum to n.Example: 6 is perfect since its divisors are 1, 2, and 3, and 1 + 2 + 3 = 6.
What is the next perfect number after 6?