Please share your strategies for the following problems.
Page 1 - Sudoku

Seoyeon - Look carefully for the numbers. Remeber it's only up to 1-6. The second sudoku might be harder with less numbers but if you think about it, then it'll work! Also, carefull of repeating numbers in the same line~

Bonna- For the people who are not sure how to do sudoku this is how it works: You have to make a row of 6 numbers from 1 to 6, but you can't repeat any numbers horizontally and vertically. Also there are 6 boxes of 6 numbers and in each of those boxes, you can only use each number once. Hope this help!!


Dolce & Katerina- Hi guys! It's me, Katerina. My POW name is Dolce & Katerina:) For the first Sudoku problem, always remember to "work within" the boxes inside of the square becuase then you're answer will make sense and it will add up and connect to other rows and columns in the sudoku problem:)

Bonna- Just a reminder to Mr.kerlin!! I wasn't able to change my text color so you might get confuse with my contribute with the others. So, please read my name very carefully next to my contribute so that you won't get confuse. Thank you:)!!



Page 2 -
#1 Bonna- First, start off with 8 teams playing with 8 teams, in 8 games. Then divide 8 games by 2 which will be 4. Then, make 4 teams play against 4 teams, in 4 games. Divide 4 games by 2 which will be 2. Then, make 2 teams play against 2 teams, in 2 games. Divide 2 games by 2 which will be one. Now make 1 team play against one team, in the final game. Add all the games played together and you've got the answer!! This is pretty much like football. That's how the colts and the saints got to the super bowl!!


Seoyeon - Make a little tree graph/chart. Put 16 dots, stars, hearts, whatever you fancy and connect them in groups of two. As you know, if there is a game, one goes up and one stays down, lost. Each time the number is divided by 2. (Sorry, if I'm saying the same thing as you Bonna!) Keep going on making gruops and drwing lines until you get to 1 single dot or hearts etc.


Dolce & Katerina- For problem #1, my strategie is to divide and split all 16 teams up into two columns; column A and column B. Both A and B have 8 teams on each side that play against each other, each from the opposite column. That way on the first go, 4 teams are eliminated. After that process, each of the teams play against each other until one wins. Draw your chart so that it shows both columns, A and B, play against each other until one wins. Good luck!:):)



#2
Bonna- Here's a hint: So, a multiple of 11 will be 22 . 2 and 2 will be the pair of 22. The cube of 2 is 8. (2times2times2). The square of 2 is 4. So, 22 is not right. (2 times 2 is 4. The square is 4 but not the cube of 2). Keep on doing these steps and you'll get the answer!! Don't give up!!
If you still don't get it here's a another hint: The multiple of 11 is 22. A pair of 22 is 4( 2*2=4). The cube of 4 is 64 (4*4*4=64). Find out the next one and you'll get the answer!!


Seoyeon - Remember that the number is a multiple of 11 but also even. (so 11, 33, 77, etc.. odd multiples of 11 won't work.)


Dolce & Katerina- It's true that it shouldn't be an odd number but remember that not all even multiples are the solution to the problem. (Hint; "When multiplied there, make a cube..."

#3 Bonna- Here's a hint: 20 + x divided by 5 = the average (It might help you better if you now the definition for mode, mean and median). Hope it helps!!


Seoyeon - If you don't know the definitions of mode, mean and median, then I'll show you a trick. This was what my teacher told me in my old school.
Mean - Don't be mean, share them out! (Average)
Mode - Mode, the most! (The most appearing numbers)
Median - Median, the middle number! (The middle number. Ex: 1, 2, 3, 4, 5. The middle number is 3)
P.s. Try to find the average of the numbers given at the moment first. Good Luck!





Dolce & Katerina- For problem # 3, my suggestion to you is that you try all kinds of possibilities for the value of X. For example, you know that the set of (3, 4, 5, 8) are all equal to 20, so you know that something (the value of X) plus 20, divided by the median number is your answer. My suggestion is that you try the first number and the closest one to 20, that can divide 20 by the median number, which will equal you answer.
Break a leg!

#4

Seoyeon - This one I think it's a bit hard. What I did was draw the pictures on graph paper and try to think of shapes using the squares on the graph paper. Here's another hint. The shapes that you want to divide the given ones into are extremely similar to eachother. Try to work out what I mean and you'll get it! For the second shape, (the quadrilateral), you have to really turn the shapes around carfully!

Bonna- Remember to use a graph paper!! Here's a hint for the first shape: It's not related to a triangle but it is related to a square except that one corner is cut off. For the next shape fiddle around with all kinds of shapes. Like squares, triangles... etc. You can even get creative with some shapes!!
Page 3 -
#1

Dolce & Katerina- My suggetion is to use graph paper so that you can easily cut out the "shape of the board" therefore, you can cut it out into two equal pieces and cover the hole- Remember the keyword is "cover" not "fit" If you are stuck on that problem check out: http://math-o-matic.com/home

Bonna- It might help if you draw the same shape as "hole" and "board" on a piece of paper. Cut the two pieces out and fiddle around with it until you find a way to cover it( Sorry Katerina if I'm saying the same thing as you)!!

#2

Dolce & Katerina- For problem number 2, I highly recomend to first think the whole problem out through before actully doing it. Try to look "out of the box" and to look for a certain pattern of the numbers 1-9. Remember A B C have nothing to do with the pattern!
Bonna- Here's a hint: The pattern for A,B and C Horizontally is +3,+3,+2. The pattern for A,B,C vertically is +1,-2. So, here's a example for A: 1+3=4. 4+3=7. 7+2=9. 9 is the answer!! For B and C it's the same as A. Hope this help!!
#3
Seoyeon - You should probably find out the percentages of the FIELD GOALS MADE and FREE THROWS. Look at the numbers carefully so you don't make a mistake. If the percentages are mean, like being 37.5%, use the calculator. Although don't forget to write the steps you did on the calculator! Oh, remember there are two teams. Lions and Tigers.

Bonna- Here's a hint for Lions: You multiply the numbers taken(48) by the % made(.375). That = the total shots. Now, you multiply that answer by 2. Then, with that answer you add the number taken (20). Finally, multiply that answer by the % made (.55). Then you got the answer!!
Here's a hint for Tigers: You multiply the numbers taken(40) by the % made(.45). That = the total shots. Now, you multiply that answer by 2. Then, with that answer you add the number taken(18). Finally, multiply that answer by the % made (.666). Then you get the answer!! Hope this helps!!



#4

Seoyeon - So, there are 10 people who each has to play with every other person. I just randomly named each person A,B, C,D.. etc. It might help to draw a decagon and put the alphabets/names on each corner and draw lines out. Or, Here's a way I did it. As you count for each person, the number gets smaller. Ex: 5 per. total - A,B,C,D,E. A has 4 games, B has 3 games because it has already played with A. Do you get it? Hope it helps~
(For Bonna's hint = if you don't know what ' 10! ' means, then I'll explain. If there is a ! next to a number, it means this. Ex. 6! = 5+4+3+2+1. So basically you add all the numbers down to 0, excluding the actual number. In my example, we didn't add the 6. I think Mr.Kerlin might explain it better when you ask him. ^^) - And sorry Bonna if I copied you!
Bonna- So, there are 10 people right? Since one person have to compete against each player, there will be only 9 people left. Now, one person will have to compete against each other again so, there will be 8 people left. Again, one person will have to compete against each other, so there will be 7 people left. Basically, just subtract 1 for each number from 10-9 until you get to 1.(Example:10-1= 9-1=8-1=7-1=6... until you get to 1). Once you do that, add all the games played together and you get the answer!! (Example: 9+8+7+6+5....) Hope this helps!! ( Thanks to Seo Yeon who helped me)
Actually, I found a another way!!~ Use the formula 10! divided by (10-2)!. Well hope one of these will help!!!

Dolce & Katerina- It does help if you draw a decagon but it also really helps if you sketch all the player's positions and the players themselves. Player number one plays 9 games, number two- eight games, and the number keeps on getting smaller as the player's number increases. In the end you keep track off all the games!:)






Page 4 -
#1

Seoyeon - You know how the square has one corner cut off? That bit you can put in the triomino without turning it. The others you have to think carefully and turn them this degrees and that. Here's a hint, there is a row with the same positions that the triominoes are in.
Bonna- For the bit that was cut off from the square? Turn the triomino to the other direction. Or just do the way Seoyeon did!! You might find the answer that way!! Fiddle around with it!! Don't give up!!

#2
Dolce & Katerina- For problem number 2, you have to really look carefully and "outside of the box" because you might not see the shaded area right away but as long as you follow a "pattern" you'll get there:) Hint; if you look closely, you might find a symmetry that would explain then whole solution. It's easy to find what farction and to identify the area in centimeters after you find the line of symmetry.


Seoyeon - Find the Area of the square first. Then Look at the 2 triangles shaded. If you divide the rest of the square into triangles, you might get an idea for an answer!

Bonna- For the question "what Fraction"? the two triangles that are shaded are the numerator and all the other parts are the denominator. For the question " how many square centimeter" just multiply 5cm and 5cm (the area). Hope this wil help!!
Page 5 Cartoon Corner - Hot Ziggety Dog!!
#1

Seoyeon - As Mr.Kerlin wrote down, it helps to find the least common multiple. Incase you don't know how to find a l.c.m, go to this websight. http://www.helpwithfractions.com/least-common-multiple.html


Bonna- Here's a hint: The key is to find the least common multiple. So, there are 10 hot dogs and 8 buns. To get the answer 10 you would have to do 2 times 5. To get the answer 8 you would have to do 2 times 4. Then, you take all the numbers in common which are 2, 5 and 4. Then, multiply them all together and you will get the answer!! Hope this help!!


Dolce & Katerina- I suggest for the first step of the problem that you recite all the multiples of 8 and 6 in your head to figure it out. Remember; the key is to stick to the LCM (the least common multiple) This problem is all about least common multiples, so if you're stuck, be sure to take a sneak peek at this website link: http://www.math.com/school/subject1/lessons/S1U3L3GL.html

#2
Seoyeon - The same thing as I wrote in #1. Hope it helps! ^^

Bonna- Here's a hint: So, there are 6 patties and 8 hamburger.To get the answer 6 you would have to do 2 times 3. To get the answer 8 you would have to do 4 times 2. Then, you take all the numbers in common which are 3,4, and 2. Then, multiply them all together and you will get the answer!! Hope this helps!!

#3
Seoyeon - Careful of the question format. It may seem the same with # 1 & 2 but this says to find both hamburgers and hotdog's l.c.m.
Bonna- Here's a hint: The key is to find the least common multiple. so, there are 10 hot dogs, 8 buns, 6 hamburgers and 8 rolls. The key is to find a number that is equal to 120. So here's the answer for hot dogs: 12 multiply 10 =120. So, the answer for hot dogs is 12! Get it? Well hope this helps!!
#4
Seoyeon - Use the numbers from #3. You'll have the answer in no time. Oh! Don't forget to double check on calculation errors!
Bonna- Use the answers from # 3 and multiply it with the numbers from #4. So, here's the answer for hot dog: 12 multiply $3.29 = $ 39.48 ( Because, hot dogs cost $3.29 per package). Add all the total costs up and you'll get the answer!! Hope this helps!! ( I am very sorry Seo Yeon if I am saying the same thing as you)!!