Locker Problem Final

Locker Problem : Third Draft

After testing it out, I've concluded that there will be 31 lockers open in the end. The reason for that is simply because there are 31 perfect squares from 1 - 1,000. Why are the lockers who have perfect squares open? Well, the perfect square lockers have been touched an odd number of times because there is an odd amount of factors for each perfect square (See diagram 1). For example; the factors of 9 are 1, 3, and 9. Compare that to 24, whose factors are 1, 2, 3, 4, 6, 8, 12, and 24. Each number has the factors of 1, and itself. Meaning, each locker was touched by student number one, and the student with the same number as the locker number. So, each locker was touched at least an even amount of times. Since each locker was initially open, in order for it to be open again, it must be touched an odd number of times. For example; for locker number 4, its factors are 1, 2, and 4. It would be touched by students 1, 2, and 4. Student one opens it, student two closes it, and student four opens it. Since there are no more factors of four, it will remain opened.

Diagram 1:

Lockers	1	2	3	4	5	6	7	8	9	10
State	o	ox	ox	oxo	ox	oxox	ox	oxox	oxo	oxox

How did I get the answer 31? Well, my strategy was, once I’ve noticed the ‘perfect squares pattern’, I tried to figure out the perfect square closest to 1,000. (See diagram 2).

Diagram 2:

These are the perfect squares that if they are to the second power, they are equal to a number from 1 – 1,000.

12 = 1	72 =49	132 =169	192 =361	252 =625	312 =961
22 = 4	82 =64	142 =196	202 =400	262 =676	322 =1024
32 = 9	92 =81	152 =225	212 =441	272 =729
42 =16	102 =100	162 =256	222 =484	282 =784
52 =25	112 =121	172 =289	232 =529	292 =841
62 =26	122 =144	182 =324	242 =576	302 =900

As you can see in the diagram above, 31 is the greatest square root or perfect square that does not exceed the 1 – 1,000 range. 32 is shown in the diagram above to show that it goes over 1,000.

What I did over the weekend. SLOB

Locker Problem 2nd Draft

After testing it out, I've concluded that there will be 31 lockers open in the end. The reason for that is simply because there are 31 perfect squares from 1 - 1,000. Why are the lockers who have perfect squares open? Well, the perfect square lockers have been touched an odd number of times because there is an odd amount of factors for each perfect square. For example; the factors of 9 are 1, 3, and 9. Since each locker was initially open, in order for it to be open again, it must be touched an odd number of times.

Having a bad day?

Haha, I will never ever look at Joe Jonas the same ever again. O_O

Order of Operations

1. ( 8 + 3 ) - 2^2 + 9
2. ( 4 + 2 ) + 3^2 - 8
3. 8 x 9 ÷ 12 x 8 = 48

Daphne Loves Derby

"Even when the world is breaking down,I know I have you, and it's all I need."
- Daphne Loves Derby
(Simple, Starving to be Safe)

Bible Verse

Love Never Fails.
1 corinthians 13:8

Favorite Fictional Hero

My favorite fictional hero is Lawliet, otherwise known as L. He is one of the main characters in the Japanese Manga, Death Note. His character portrays a detective who leads the Police Investigation Team on the Kira case, which is a series of mass murder.

L is one of my favorite fictional heroes because he is very intellectual and cunning. He is also very unique and different from any other character I've ever read about. He was an orphan who came from an orphanage for gifted people. He has a strong inclination towards candy and sweets, and he dislikes socks.

This character is special to me because he is very enigmatic or mysterious, just like I am. He reminds me of myself because of his clever, quirky personality.

What is Math? What is Physics?

What is Math?

In my perspective, math can be many things. We use math for our daily necessities such as shopping, bills, measurements, etc. It is involved in basically everything we do. Math is used throughout the world as an essential tool in many fields. Without math, this world would not function properly.

What is Physics?

Physics to me is simply the physical properties of an object. Physics gives scientific methods to understand the basic rules or laws of nature. It is the study of the interaction of matter and energy. This energy can take the form of most things. Like motion, gravity, electricity, etc.

30 Things You Don't Know About Me

1. I play the clarinet, piano, and guitar.
2. I love sushi, pandas, green, and the number 8.
3. I don't like bad grammar or the mall.
   
4. I eat in a lot, and I don't like it when people watch me eat. ._.
   
5. I listen to almost all types of music.
   
6. I only drink bottled water.
7. I am Filipino and a little Spanish.
   
8. I am deathly afraid of needles.
9. My favorite song is "I'm Yours" by Jason Mraz.
10. I absolutely dislike liars and germs.
11. I'm sensitive.
12. I have two piercings and I want a tattoo of a cross (it's symbolic that Christ is always with me.) :)
    
13. I'm highly ticklish.
14. I like my eggs scrambled. >:]
    
15. I have a very weak bladder. D=
    
16. I look around when I'm nervous.
17. Give rather than receive, forgive but don't forget kind of person.
    
18. I straighten my hair almost every time I go out.
19. I have short-term memory.
20. I used to have Pneumonia, and I've never had asthma.
    
21. I have an annoying sock tan. -_-
22. I'm usually the last person to finish taking a test or eating something.
23. I'm slow and I like to take my time. Yet, sometimes, I'm impatient.
24. I fix my hair, day dream, and space out a lot.
25. I'm very picky.
26. Shy/Quiet people scare me and make me feel awkward O_O
27. I scream whenever I see something crawl before examining what it is[x
28. My mom intended my name to be pronounced KaiTHlyn.
29. I hate being alone or ignored.
30. I hate peanuts and chocolate.