The Pen Problem
An Average ballpoint pen can produce a line 2100m long. In contrast, a pencil has 18 times longer "life span".
1) About how many kilometers would a pencil line be?
2) How many pens would you have to use up to draw a line as long as the circumference of the Earth (40 000km)?
3) How many Pencils to draw a line as long as the circumference of the Earth?
Write your answers and your thinking and post it as a comment below. (You must post before next Tuesday)
Oct 28, 2008
Oct 21, 2008
Problem # 5
The Budgie Problem
A bird collector wants to buy 100 budgies and wants to spend exactly $100. Blue budgies cost $10 each, green budgies cost $3 each and yellow budgies cost 50 cents each ($0.50). The collector wants to purchase at least one budgie of each colour. How many blue, green, and yellow budgies could he buy?
Remember.. key words (Exactly $100)
A bird collector wants to buy 100 budgies and wants to spend exactly $100. Blue budgies cost $10 each, green budgies cost $3 each and yellow budgies cost 50 cents each ($0.50). The collector wants to purchase at least one budgie of each colour. How many blue, green, and yellow budgies could he buy?
Remember.. key words (Exactly $100)
Oct 15, 2008
Problem #4
The Penny Problem
If you had 9 pennies that fit on a 3x3 grid, and they were positioned so all the pennies were face down except the one in the middle. Could you end up with all the pennies facing the same direction if you could only flip all the pennies in each row or column?
If you had 9 pennies that fit on a 3x3 grid, and they were positioned so all the pennies were face down except the one in the middle. Could you end up with all the pennies facing the same direction if you could only flip all the pennies in each row or column?
Problem # 3
The Locker Problem
There are 150 lockers numbered 1 to 150, all shut and unlocked. The school has 150 students. Suppose the first student goes along and opens every locker (starting at locker number 1). The second student shuts every second locker. The third student then changes the state of every third locker beginning with locker number 3 (If the locker is shut the student opens it, if the locker is open the student would shut it). The fourth student changes the state of every fourth locker beginning with locker number 4. Imagine that this pattern continues until every student (1-150) have followed this pattern. At the end, how many lockers will be open? Explain your thinking.
There are 150 lockers numbered 1 to 150, all shut and unlocked. The school has 150 students. Suppose the first student goes along and opens every locker (starting at locker number 1). The second student shuts every second locker. The third student then changes the state of every third locker beginning with locker number 3 (If the locker is shut the student opens it, if the locker is open the student would shut it). The fourth student changes the state of every fourth locker beginning with locker number 4. Imagine that this pattern continues until every student (1-150) have followed this pattern. At the end, how many lockers will be open? Explain your thinking.
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