Problem of the Week, October 29th, 2007: submit solutions to
tubbsjac@nbed.nb.ca by Friday November 2nd.

Grade 6: Follow the bouncing ball
A special super ball always bounces one half as high as the height from which it falls. If a ball is allowed to fall from a height of 32 metres how many metres ( both up and down) will it have traveled when it touches the ground for its sixth bounce?

Grade 7: Using only the numbers (1, 3, 4, 5, 7 , 8) complete the following problem so that the two top lines add to make the third. Every time a letter appears in the puzzle it must be replaced with the same number. For example N must be the same number wherever it appears.
--S U N
+ F U N
------------
D U N E

Grade 8: Rabbit Race
Two rabbits are racing around the outside edge of a square course that is two metres in length on each side. One rabbit travels at a constant speed of 2 metres per second while the other travels at a constant speed of one metre per second. After 22 seconds, how far apart will the rabbits be from each other on the course?

Grade 9: Ownership Problem
Alicia, Brian and Charles own shares in a company. Together Alicia and Brian own half of the shares. Alicia and Charles together own one third of the shares and Brian and Charles together own one fifth of the shares. What fraction of the shares does each person own?

Grade 10: Measure and Cost
You are the manager of a basketball team that will have 15 members. Your team is having new jerseys made. Each jersey will be made by sewing together two rectangular pieces of fabric that each measure 40 cm by 90 cm.
The material to make the jerseys comes on a roll that is 1 metre wide. The material costs $ 6.95 per running metre (tax included). Calculate the minimum amount of material that must be purchased to make the jerseys. Since no one wants to have a jersey made from many small pieces there will be some material that will be wasted. How much will the material cost?
The team plans to pay for the material by selling special candy bars. The bars have a selling price of $ 3.00 of which the team gets to keep 40%. How many bars must be sold to cover the cost of the material purchased if the minimum amount is used?