Mathematics: All Classes: Friday 3.31.06 Period 1

[dorky-broots.livejournal.com]

"Okay, um, people who own me work because they were sick? Turn it and present please. Both classes will be working on some problems today.

Begginers:
1. What is the difference between the sum of the first 2003 even counting numbers and the sum of the first 2003 odd counting numbers?
2. What is the probability that a randomly drawn positive factor of 60 is less than 7?
3. What is the maximum number for the possible points of intersection of a cirlce and a triangle?

Intermediate:
1. A solid box is 15cm by 10cm by 8cm. A new solid is formed by removing a cube 3cm on a side from each corner of this box. What percent of the original volume is removed?
2. It takes Mary 30 minutes to walk uphill 1km from her home to school, but it takes her only 10 minutes to walk from school to home along the same route. What is her average speed, in km/hr, for the round trip?
3. The sum of two numbers is S. Suppose 3 is added to each number and then each of the resulting numbers is double. What is the sum of the final two numbers?

If you have any questions or problems, wave me down. Have at it!"


[OOC: Answers will go up in the OOC thread as soon as I solve the problems. Someone stole my answer booklet. All problems are from either AMC10 - 2003 or 2001.]

Comments

Intermediate

[dorky-broots.livejournal.com]

Talk, discuss, and turn in.

Re: Intermediate

[apocalypsesoon.livejournal.com]

1.
15x2+10x2+8x2
30+20+36=86
86-(6x(3x3x3)
86-6 x 18
ahfuckit

2. 3km cuz the mun is a cheater

3.
S=a+b
S=6+a+b
2s=6+a+b
s=3+.5a+.5b
that can't be right
S=a+b
S=6+a+b
S=12+2a+2b...?

Re: Intermediate

[dorky-broots.livejournal.com]

Broots glanced over at John's work. "Okay, number one? You need to start by looking at total volume of the original shape. Volume is equal to lenght times width times height. For number three, your second try is good, but see if you can simplify it a little."

Re: Intermediate

[walter-n-wires.livejournal.com]

1.
Original volume is 1200 cm³
Removed volume is 27 cm³
2.25% of the original volume is removed per corner with 8 corners = 18%

2.
40 minutes for 2 km, 1 km/20 minutes = 3km/hr


3.
a + b = S
a + 3 = 2a
b + 3 = 2b
a = 6
b = 6
a + b = 12

Walter finishes up and turns in his work. At least this one wasn't too hard.

Re: Intermediate

[dorky-broots.livejournal.com]

"Good job on the problems. You owe me a presentation for the missed class though."

Re: Intermediate

[walter-n-wires.livejournal.com]

"I don't have anything prepared right away. What sort of presentation do you want?"

Re: Intermediate

[dorky-broots.livejournal.com]

Broots frowned. "Remember the book you were supposed to read and come up with a math based question and answer from? Yeah, that presentation."

Re: Intermediate

[walter-n-wires.livejournal.com]

"Oh that one. I thought you meant separate make up work for having missed class last week. Not the other presentation."

Re: Intermediate

[dorky-broots.livejournal.com]

"Yup. You ready to present?"

Re: Intermediate

[walter-n-wires.livejournal.com]

"Definitely." Walter is ready to give a handwavily well-prepared presentation. He had extra time and all.

Rulers might figure in to a lot of his reasons for not doing a halfway job.