XP Math Games Arcade

**Sillysidley** · 12-03-2006

I missed the first round of the madelbrot competition

But i got a 10/14 on the second round!

Mr. Hui · 12-04-2006

I've heard of this competition. Can you provide us with some samples?

**Sillysidley** · 12-04-2006

Quote:

Originally Posted by Mr. Hui

I've heard of this competition. Can you provide us with some samples?

the websie is www.mandelbrot.org

it was pretty ez (the only reason i didn't get a perfect was that i'm a 6th grader

i know this 7th grader who got a perfect)

**Sillysidley** · 12-04-2006

here is a regional test

Points

Regional Level Individual Test
.......

1. The sequence 1, x, 6, y is an arithmetic progression. Find x+y.

..
2. The squares in the diagram have side length 1. What is the area of the slanted rectangle?

3. In how many ways may the numbers {1, 2, 3, 4, 5, 6} be ordered such that no two consecutive terms have a sum which is divisible by 2 or 3?

4. The positive integers 30, 72, and N have the property that the product of any two of them is divisible by the third. What is the smallest possible value of N?

5. Two sisters go up 40-step escalators. The older sister rides the up escalator, but can only take 10 steps up during the ride since it is quite crowded. The younger sister runs up the empty down escalator, arriving at the top at the same time as her sister. How many steps does the younger sister take?

6. Michael Jordan's probability of hitting any basketball shot is three times greater than mine, which never exceeds a third. To beat him in a game, I need to hit a shot myself and have Jordan miss the same shot. If I pick my shot optimally, what is the maximum probability of winning which I can attain?

7. A quadrilateral inscribed in a circle has side lengths whose squares are 17, 99, 19, and 97. Find the area of the circle.

Reg Level Ind Soln | Return to samples page

Mr. Hui · 12-04-2006

Hint, hint: These are perfect problems to post as PotD.

**Scion** · 12-10-2006

Quote:

Originally Posted by Mr. Hui

Hint, hint: These are perfect problems to post as PotD.

what is potd just wondering

12-04-2006

Quote:

Originally Posted by somedude

I missed the first round of the madelbrot competition

But i got a 10/14 on the second round!

whats that?

12-04-2006

Yes,what is it?

12-08-2006

Nice JOb somedude on getting into the top four in the Mandelbrot even though I told you congrats on the phone ....lol!

12-03-2006	#1
Sillysidley Join Date: Oct 2006 Posts: 822	Mandelbrot I missed the first round of the madelbrot competition But i got a 10/14 on the second round! __________________ .

12-04-2006	#2
Mr. Hui Join Date: Mar 2005 Posts: 10,609	I've heard of this competition. Can you provide us with some samples? __________________ Do Math and you can do Anything!

12-04-2006	#4
Sillysidley Join Date: Oct 2006 Posts: 822	regional test here is a regional test Points Regional Level Individual Test ....... 1. The sequence 1, x, 6, y is an arithmetic progression. Find x+y. .. 2. The squares in the diagram have side length 1. What is the area of the slanted rectangle? 3. In how many ways may the numbers {1, 2, 3, 4, 5, 6} be ordered such that no two consecutive terms have a sum which is divisible by 2 or 3? 4. The positive integers 30, 72, and N have the property that the product of any two of them is divisible by the third. What is the smallest possible value of N? 5. Two sisters go up 40-step escalators. The older sister rides the up escalator, but can only take 10 steps up during the ride since it is quite crowded. The younger sister runs up the empty down escalator, arriving at the top at the same time as her sister. How many steps does the younger sister take? 6. Michael Jordan's probability of hitting any basketball shot is three times greater than mine, which never exceeds a third. To beat him in a game, I need to hit a shot myself and have Jordan miss the same shot. If I pick my shot optimally, what is the maximum probability of winning which I can attain? 7. A quadrilateral inscribed in a circle has side lengths whose squares are 17, 99, 19, and 97. Find the area of the circle. Reg Level Ind Soln \| Return to samples page __________________ .

12-04-2006	#5
Mr. Hui Join Date: Mar 2005 Posts: 10,609	Hint, hint: These are perfect problems to post as PotD. __________________ Do Math and you can do Anything!

12-08-2006	#9
dragon 500033 Guest Posts: n/a	Good Job! Nice JOb somedude on getting into the top four in the Mandelbrot even though I told you congrats on the phone ....lol!