E. Maths - Set Questions

• Ahm97sic

  15 Oct 08, 16:04

  2nd Pattern on the topic of Set

  E. Maths students, who are not so good at English, need to practise on these questions. Students, who are good in English, are also advised to practise it too.

  Perhaps you will like to do these questions.

  Question

  Sets M and P are defined by

  M = { students studying mathematics }

  P = { students studying physics }

  Describe in words which students belong to the set

  (i)    M' intersects P'

  (ii)   ( M intersects P' )'

  Thank you for your kind attention.

  Regards,

  ahm97sic

• eagle

  15 Oct 08, 16:42

  The following is from ExamWorld as well

   

  (a) In the Venn diagram shown in the answer space, ξ is the set of quadrilaterals.
  H represents the set of rhombuses.
  R represents the set of rectangles.
  
  Add
  (i) the set S tot he diagram where S is a square.
  (ii) the set P to the diagram where P is a parallelogram.

  
  

  
  (b) Write down the set represented by the shaded region in the diagram.
  

  
• Ahm97sic

  15 Oct 08, 17:04

  Hi Eagle,

  For your information, the new 2008 "O" level E. Maths (4016) syllabus exclude cases of three or more sets ie questions on sets will involve only two or one sets. Indeed, this makes the topic of sets easier as compared to the case when the topic of sets was previously in the old syllabus Add Maths syllabus (4018).

  Thank you for your kind attention.

  Regards,

  ahm97sic

   

• eagle

  15 Oct 08, 17:17

  that's interesting...

  But I guess I will leave it in ExamWorld for students who want a 'challenge'

• xXBlack_RebelXx

  15 Oct 08, 17:20

  Originally posted by Ahm97sic:

  2nd Pattern on the topic of Set

  E. Maths students, who are not so good at English, need to practise on these questions. Students, who are good in English, are also advised to practise it too.

  Perhaps you will like to do these questions.

  Question

  Sets M and P are defined by

  M = { students studying mathematics }

  P = { students studying physics }

  Describe in words which students belong to the set

  (i)    M' intersects P'

  (ii)   ( M intersects P' )'

  Thank you for your kind attention.

  Regards,

  ahm97sic

  
  i) students not talking mathematics U students not taking physics

  ii) students not taking mathematics U students taking physics

• xXBlack_RebelXx

  15 Oct 08, 17:22

  Originally posted by Ahm97sic:

  Hi Eagle,

  For your information, the new 2008 "O" level E. Maths (4016) syllabus exclude cases of three or more sets ie questions on sets will involve only two or one sets. Indeed, this makes the topic of sets easier as compared to the case when the topic of sets was previously in the old syllabus Add Maths syllabus (4018).

  Thank you for your kind attention.

  Regards,

  ahm97sic

   

  Oh thats good to know. So is sets also in the new A Maths syllabus?

  Because I have the old textbook by panpac < 2007

• Ahm97sic

  15 Oct 08, 17:30

  Originally posted by eagle:

  that's interesting...

  But I guess I will leave it in ExamWorld for students who want a 'challenge'

  Dear Eagle,

  I think it is ok to leave the questions in the homework forum.

  We just need to let the students know that these questions are more interesting ie difficult questions. There are many students who like to solve difficult questions and they enjoy solving these questions too. It will help them to like Mathematics more and some will even proceed to major in Mathematics in the University.

  Thank you for kind attention.

  Regards,

  ahm97sic

• Ahm97sic

  15 Oct 08, 17:39

  Originally posted by xXBlack_RebelXx:

  Oh thats good to know. So is sets also in the new A Maths syllabus?

  Because I have the old textbook by panpac < 2007

  Dear xXBlack_RebelXx,

  The topic of sets was in the old syllabus of Add Maths (4018) but the topic of sets has been moved to the new 2008 "O" level E.Maths syllabus (4016) this year. (Hence, some of those questions in the old Pan Pacific Add Maths Textbook are no longer relevant ie questions that involve 3 sets or more are no longer relevant.)

  So, the topic of sets is in E.Maths now, no more in Add Maths now.

  Thank you for your kind attention.

  Regards,

  ahm97sic

  PS : Dear xXBlack_RebelXx, your answer to the question is incomplete as no mathematical symbol (ie U) can be used in the answer as the question requires us to describe in words only. Please try again.

   

• xXBlack_RebelXx

  15 Oct 08, 17:52

  Answers to eagle's question:

  i) A square is an equilateral quadilateral i.e it is a 4 sided figure whose sides are all of the same length. But all of its interior angles are 90 degrees.                          

  A rhombus is an equilateral quadilateral. But has only two sets of parallel lines.

  Hence interior opposite angles in rhombuses are equal and interior angles of

  a tranversal are not equal and add up to 180.                        

                                                                                                                            

  Rectangles are quadilaterals that have two sets of parallel lines.

  And also its interior angles are 90 degrees.

  A square is a rhombus since it is equilateral quadilateral.

  And an equilateral rectangle can be square.

  Therefore: Squares are rhombuses and rectangles.

  But not all rectangles are squares.

  b) (P excluding Q) + (R excluding Q). Or (P + R) excluding Q.

   

  Sorry eagle I have never learned Sets in school. I cant write in symbols.

  Just read about it when  I was in sec 1.

• xXBlack_RebelXx

  15 Oct 08, 17:54

  Originally posted by Ahm97sic:

  Dear xXBlack_RebelXx,

  The topic of sets was in the old syllabus of Add Maths (4018) but the topic of sets has been moved to the new 2008 "O" level E.Maths syllabus (4016) this year. (Hence, some of those questions in the old Pan Pacific Add Maths Textbook are no longer relevant ie questions that involve 3 sets or more are no longer relevant.)

  So, the topic of sets is in E.Maths now, no more in Add Maths now.

  Thank you for your kind attention.

  Regards,

  ahm97sic

   

  Thanks for clarifying.

  Originally posted by Ahm97sic:

   

  PS : Dear xXBlack_RebelXx, your answer to the question is incomplete as no mathematical symbol (ie U) can be used in the answer as the question requires us to describe in words only. Please try again.

   

   

  i) students not talking mathematics and students not taking physics

  ii) students not taking mathematics and students taking physics

   

• Garrick_3658

  15 Oct 08, 18:53

  i) Students who take neither Physics nor Maths.

  ii) Students who take Physics only.

  So there will be no three-venn-diagrams-intersect questions? Phew.

• xXBlack_RebelXx

  15 Oct 08, 19:08

  *smacks his forehead* garrick answer ftw. mine too long-winded.

• Ahm97sic

  15 Oct 08, 19:38

  Dear Garrick_3658 and xXBlack_RebelXx,

  Question

  Sets M and P are defined by

  M = { students studying mathematics }

  P = { students studying physics }

  Describe in words which students belong to the set

  (i)    M' intersects P'

  (ii)   ( M intersects P' )'

  Answer

  (i)     Students who take neither Physics nor Maths or both

  (ii)     Students who are not taking Maths only

  There are many ways to describe the required sets in words.

  So, the sentences can be phrased differently as long as the required sets are

  correct.

  To get the required sets, we will first

  (a)    draw a rectangle to represent the universal set

  (b)    next we will draw two intersecting circles, circle M for students studying

          Maths and circle P for students studying Physics

  (c)    Next, shade the correct portion for the required set

  (d)    Finally, we will write the required sets in words, using words as simple as

          possible.

  Thank you for your kind attention.

  Regards,

  ahm97sic

  PS : Dear Garrick_3658, yes, there will not be questions that involve 3 sets or

         more. Please try Eagle's questions too as these questions are interesting too.

         Dear xXBlack_RebelXx, it is ok that you have not used simple words in your

         answer as long as your answer gives the required sets in words with no

         ambiguity.