Monday, August 6, 2012

S9 More Maths Supplements

Maths supplements new challenges :)

Try me ... I know you can do it :)

There are 4 rows of chairs with 6 chairs in each row. Miss Li wants to rearrange all the chairs to form a square. She wants the same number of chairs on each side of the square. How many chairs must she put on each side of the square? 

Think through which method would be the most efficient method to solve this question. Comment on it and if you like you may set parallel questions for your friends to solve. Have fun :) 

Mrs R


102 comments:

  1. Most efficient method: Drawing
    My answer is 7. Am I correct?

    Yay... I got first comment award.

    ReplyDelete
    Replies
    1. Yup! My answer is 7 too.
      My method: Number Statements (It is the same as the Drawing method)

      4x6=24(total no. of chairs)
      24-4=20 (Note: I'm taking away 4 because there are 4 corners in the square.)
      20/4=5 (Note: 4 because there are 4 sides)
      Each side has 2 corners.
      Each corner has 1 chair.
      Each side=5
      5+2=7

      Answer: Miss Li must put 7 chairs on each side.

      Delete
  2. Parallel question:

    There are four rows of sweets with five sweets in each row. Glenda wants to rearrange them to form a square before eating them. She wants the same number of sweets on each side of the square. How many sweets must she put on each side?

    ReplyDelete
    Replies
    1. Is the answer 6?

      Delete
    2. 4 x 5 = 20
      = Total sweets
      20 / 4 = 5
      4 sides -> 4 extra
      4 / 4 = 1
      1 + 5 = 6//

      ◕‿◕
      ^.^

      Delete
    3. Adam sorry but I don't understamd yours! My is this:

      4x5=20
      20-4=16
      16/4=4
      4+2=6

      Delete
    4. For my working, I found the Total first
      20 x 5 = 20.
      Next, I find the overlapping sweets at the four edges
      20 / 4 = 5
      Then, I divide them into each edge.
      4 / 4 = 1
      Time for the Magic!! For a side, I add the sweets + one overlapping sweet.
      1 + 5 = 6//

      ◕‿◕ Smileys!!

      Delete
    5. I found it!!
      it is 6!!!

      Delete
  3. Thank u Nadine for your enthusiasm :)

    ReplyDelete
  4. 7 chairs by drawing like Nadine

    ReplyDelete
  5. Q:
    There are 2 rows of potted plants with 8 potted plants in each row. Jacklyn wants to rearrange them to form a square. She wants the same number of potted plants in each side of the square. How many plants must she put on each side?

    ReplyDelete
    Replies
    1. Is the answer 5?

      Delete
    2. My answer is 5. Am I correct?

      Delete
    3. 5 is the correct answer & I found a quickier method:

      2x8=16-> no. of potted plants
      16-4=12-> - of all corners's potted plants
      12 divided by 2=3-> no.of potted plants in the middle
      3+2=5-> no. of pots in the middle

      This is the best method to me! Easy & quick! :)

      Delete
    4. How can 3 be the quotient of 12/2?
      I thought the method was like this:

      2x8=16
      16-4=12
      12/4=3
      3+2=5
      . .
      U

      Delete
    5. Sorry! My mistake! Was hurrying to type out my method cuz need the loo! Guess I wrote wrongly by mistake! My working is like what u wrote!

      Delete
    6. anyway, is divide sign this /?

      Delete
    7. yes,Ginwen.My answer is 5.

      Delete
    8. 2 x 8 = 16
      16 / 4 = 4
      4 / 4 = 1
      1 + 4 = 5

      ◕‿◕ Smileys !!

      Delete
    9. Adam PLEASE teach me to do SMILEYS! PLEEEAAASE! ~_~

      Delete
    10. I copied it from another website o.O sry.

      Delete
  6. I used 4 simple number statements to solve this question. If the numbers used were bigger, then it would take a longer time to solve this question. But since the numbers used were smaller, I used the drawing method as my method 2.

    ReplyDelete
  7. My Question: Evan put 5 rows of soft toys with 8 soft toys on each side. He then wanted to rearrange all of the soft toys to a square with the same number on each side. How many stuff toys there will be on each side? :3

    ReplyDelete
    Replies
    1. 5 x 8 = 40
      40 / 4 = 10
      4 extras -> 4 / 4
      -> Extras for a side
      -> 1
      10 + 1 = 1 side
      = 11//

      Delete
    2. 5x8=40(total no. of stuffed toys)
      40-4=36 (4 because of the corners)
      36/4=9 (4 because of the 4 sides)
      9+2=11

      Answer: There would be 11 stuffed toys on each side.

      Delete
    3. 5x8=40
      40-4=36
      36/4=9
      9+2=11
      Ans:11

      Delete
    4. Yes! The answer is 11. Got it correct! Job well done! ^_^

      Delete
    5. 5x8=40
      40-4=36
      36/4=9
      9=2=11

      11 toys

      Delete
  8. my answer is 7.

    ~Madhu~
    :D

    ReplyDelete
  9. My answer is 7 chairs.

    ReplyDelete
  10. There are 6 rows of books with 12 books in each row. Miss Li wants to rearrange all the books to form a parellelogram.(I hope it is the correct spelling). She wants the same number of books on each side of the parellelogram. How many chairs must she put on each side of the parallelogram?

    Clue: Parallelogram has 4 sides.

    ReplyDelete
    Replies
    1. I thought parallelograms didn't have equal sides?
      (Not trying to be rude)

      Delete
    2. Refer to this link for explanation of Parallelogram:
      http://en.wikipedia.org/wiki/Parallelogram

      Delete
    3. Thanks Wei Xuan !

      Delete
    4. is the answer 19?

      Delete
    5. A parallelogram does not have 4 equal sides. Maybe you could change the question a little by saying that the length of a parallelogram is twice as long as its breadth. Or something else?
      . .
      U

      Delete
    6. Ok, I'm changing my question:
      There are 6 rows of books with 12 books in each row. Mdm Hernie wants to rearrange all the books to form a parellelogram.(I hope it is the correct spelling).The length of the parellelogram is thrice as long as its breadth. She wants the same number of books on each 'unit' of the parellelogram. How many books must she put on each 'unit' of the parallelogram?

      Delete
    7. For your info, Square and Rectangle are also Parallelogram. Please read carefully under Characterizations for the link:
      http://en.wikipedia.org/wiki/Parallelogram

      Delete
    8. My working:

      6x12=72 (Total no. of books)
      Length-3u
      Breadth-1u
      (3+1)x 2 =8 (no. of units)
      72/8=9 (no.of books on each unit)

      She must put 9 books on each 'unit'.

      Delete
  11. Replies
    1. 4 x 6 = 24
      24 / 4 = 6
      There would be 4 extras
      4 / 4 = 1
      6 + 1 = 7//
      TADAAA!!!!

      Delete
    2. I got tricked at the "24/4=6" part and I assumed that it was the end of the question. But I remembered that there were 4 extras on every side of the square.>.>

      Delete
    3. By a tricky trickster question.
      O_o

      Delete
  12. A gardener had 6 rows of seeds with 8 seeds in each row. She wanted to rearrange the seeds to form a rectangle which length was twice as long as its breadth. How many seeds would be at each side of the rectangle??
    (Hint : 6 units)

    ReplyDelete
    Replies
    1. There would be 16 seeds on each of the lengths of the rectangle. And there would be 8 seeds on each of the breadths of the rectangle.
      My working:

      6x8=48
      48/6=8
      Breadth=8 (1 unit)
      Length=8x2
      =16 (2 units)

      Check: 16x2=32 (lengths)
      8x2=16 (breadths)
      32+16=48

      Delete
    2. Breadth:8
      Length:16

      Delete
    3. Ximing i think you miscalculated. It is Length 16 and Breadth 8. Maybe can try again.

      ◕‿◕ Smileys!!

      Delete
    4. 6 x 8 = 48
      48 / 6 = 8
      B8//
      8 x 2 = 16
      L16//

      Delete
  13. I got 7 using adam's method

    ReplyDelete
  14. This comment has been removed by the author.

    ReplyDelete
  15. Ms R I found an Albert Einstein phrase!!
    Any intelligent fool can make things bigger and more complex... It takes a touch of genius - and a lot of courage to move in the opposite direction.

    ~AlbertEinstein

    ReplyDelete
    Replies
    1. I do not understand the meaning of this quote.
      _ _
      . .
      L
      U

      Delete
    2. I don't mean to discourage you but I do not understand what the quote means....:l

      Delete
    3. lol it is a random phrase LOL

      Delete
  16. my answer is 7 <(")XD

    ReplyDelete
  17. Here's a question I've created:

    Sally has invited her friends over to her house for her birthday party tonight. She has invited 16 friends. So, she needs to arrange tables and chairs for them. Only 4 people can seat around each table. So, how many chairs does she need to arrange if all the tables are lined up together?

    Hint:
    if two tables...
    :-)are joined... _____
    :---)together...|__|__|

    There cannot be chairs in the middle!
    (* As shown in my diagram above)
    (Ok! I know it is ugly but still I think it is clear enough for you to understand)


    ReplyDelete
    Replies
    1. Nope! But you are close! Good try! Can you share your working?

      Delete
    2. Is the answer 7?

      Delete
    3. Yes! Please share your working!
      _ _
      . .
      L
      ---
      U

      Caption: A man with moustache

      Delete
    4. i got 6 by drawing but why 7??? :(

      My Method:

      o o o o
      * _ * * _ * * _ * * _ *
      o l_l o ol_l o o l_l o o l_l o -> haven't
      o o o o arranged yet

      o o o o
      _ _ _ _
      o l_ll_ll_ll_l o -> take way all middle chairs
      o o o o ( all those with stars) which
      is 6.

      Delete
    5. ARGH! Forget it! so messy! :( >_<

      Delete
    6. Why don't you use number statements?
      ◕ ◕
      U

      Delete
    7. 1 table->4 people
      2 tables->7 people
      3 tables->10 people
      Keep adding 3
      So: 4,7,10,13,16
      Wait, stop! I have something to ask. If there were 16 people, wouldn't there be 16 chairs? No offence!

      Delete
    8. My working:

      Each table has 2 chairs. But the tables at the ends would have an extra 1 chair.

      Tables at the ends: 3 chairs
      Tables in the middle: 2 chairs

      So,
      16-(1+1)=14
      14/2=7 (taada! that's the answer)

      Or

      16-(3+3)=10
      10/2=5
      5+2(3->1 table + 3->1 table)=7

      Do you understand? :D
      You may want to draw my method on your white board to check my answer (if you are kinestatic person).

      Delete
    9. Sabarna,
      I think you should tell us what shape is the table.
      It might be a circle, a square or a triangle?

      Hasha Iman
      o__O

      Delete
  18. Mrs Roman, I found a website full of albert einstein quotes that(some) are easier to understand. You might want to use it.This is the URL.
    http://www.brainyquote.com/quotes/authors/a/albert_einstein.html

    ReplyDelete
  19. My answer is 7 chairs.

    ReplyDelete
  20. Must we write our workings??

    ReplyDelete
    Replies
    1. No! You should type your working! :O

      Delete