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?

E-mail your solutions by Friday October 26th, to tubbsjac@nbed.nb.ca

Problem of the Week: October 22nd, 2007
Grade 6: Fill in the Box –October 22nd , 2007
Observe the box of numbers. Based on the numbers in each box, determine the missing value in the bottom right box.

Grade 7: : More Than Six Factors - October 22nd , 2007
The number 24 has eight positive whole number factors: 1, 2, 3, 4, 6, 8, 12, and 24. Find the sum of all whole numbers less than 50 that have greater than 6 positive whole number factors
Grade 8: 100 Fraction - October 22nd , 2007
How many positive proper fractions in simplest form have denominators of 100? In other words, the numerator does not share a common factor other than 1 with the denominator (100).

Grade 9: What Page is showing?
Tania’s Mathematics book and Science book are open on her desk. She notices that the even page number showing in the science book is half the even page number showing in the math book, and that the sum of the four visible pages is 926. What pages are showing in the mathematics book?
Grade 10: Ends in 75 - October 15, 2007
Determine how many positive whole numbers exits that meet all of the following conditions:
1. Greater than one thousand
2. Less than ten thousand
3. End in seventy-five
4. Divisible by seventy-five.

Problem of the Week: October 8th, 2007
E-mail your solutions by Friday October 12th to tubbsjac@nbed.nb.ca

Grade 6: Basketball League Schedule
There are six teams in a basketball league. Each team plays each other team only once during the season. How many total games will be played in the league during the season?

Grade 7: Find the Product

. ABC is a three-digit whole number while DE is a two-digit whole number. Substitute the numbers 2, 3, 4, 6, and 8 once and only once for each letter A, B, C, D, and E to obtain the least possible product of ABC x DE. Remember, A, B, C, D, and E must be different numbers. Find this tiny product. ABC x DE=

Grade 8: Find the numbers
How many whole numbers less than 1000 contain at least one 2 but no 3?

Grade 9: What’s for Lunch?
You are standing in line for lunch at school. There are 5 more kids ahead of you in line than are behind you. Four times as many students are in line as the number of students who are behind you. How many students are ahead of you in line?

Grade 10: Algebra Jungle
Given a + 1 = b + 2 = c + 3 = d + 4 = a + b + c + d + 5 find the value of a + b + c + d.

Submit solutions by Friday October 5th to tubbsjac@nbed.nb.ca

Problem of the Week for October 1st 2007
Grade 6

Rectangles
The figure below is composed of congruent squares. How many rectangles are in the figure?
Hint: Remember that a square is also a rectangle

Grade 7

Kilometre Long Train
How long will it take a kilometre-long train going 20 kilometres per hour to get completely through a 2-kilometre-long tunnel?
Grade 8


Middle Number
If the consecutive odd counting numbers are arranged as shown, what will be the middle center)number in the 11th row?

Grade 9 ( I was told last week’s was too easy so try this)

How Many Pairs?
For how many pairs of positive integers (x, y) is x + 2y = 100?

Grade 10

Find the sum of the digits of the standard form of 2^2999 x 5^3002 (two raised to the 2999th power times 5 raised to the 3002nd power).