chapter 5 ii set enrich

8/3/2019 Chapter 5 II Set Enrich

1/11

Enrichment

Sets 1

Chapter 5: SETS

Usual format of questions:

1. Given the shaded region ofa Venn diagram, state the operations that areinvolved.

2. Given a Venn diagram, shade the region which represents acombination ofsets basedon the operation ofsets.

Examples of Venn diagrams

A

A

AB

AB =

AB

AB

A

B

BA

A

B

AB

A

B

ABBA ,

A

B

J{BA

PQ

PQ P Q

P Q

R

'QP

')( QP

RQP

P Q

R

'

RQP

P Q

R

'

)(R

QP

PQ

PQ

R

R

R

PRQR , PRQR , J! RPQR ,


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Enrichment

Sets 2

Questions based on the examination format (Paper 2)

1. The Venn diagramin the answer space shows sets A, B andC. Given that

= ABC. On the diagramprovidedin the answer spaces, shade the areaof,

(a) C (AB)

(b) (A C)(B C)

Answer :

2.

9

8-x

7-x

89-x7

Given that CBA !\ and that 34)( !\n ,find

(a) the value ofx(b) )'( CBAn

A B

x

C


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Enrichment

Sets 3

3. The Venn diagrams below show set P, Q and R. Given that the universal set,

RQP !\ . On the diagrams, shade

(a) QP (b) 'RP

(c) '' RQP

4. Given the universal set, xxx ,2510:{ ee!\ is an integer}

Set P = {x : x is aprime number}Set Q = {x : x is amultiple of4} and

Set R = {x: x is a number where one ofits digits is more than 7}

(a) Find the elements ofset P(b) Find the elements ofset P R.

(c) Find n( RQP ).

5. The Venn diagram shows the set E, F andG. Ifthe universal set is GFE !\ ,

in the answerpart, shade the regions for

(a) FE

(b) GFE

Answer :

(a) E F G (b) ) E F G

PQ

RP

Q

R

PQ

R


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Enrichment

Sets 4

6. Given P = {3, 5}

Q = {2, 4, 7, 8}R = {1, 3, 5, 7, 9}

anduniversal set RQP !\

(a) Draw a Venn diagram to show the relationshipbetween sets P, Q and R.

(b) List all the elements in set .RP

7. The Venn diagramin the answer space shows sets P, Q and R. On the diagram

providedin the answer spaces, shadea) the set Q R,

b) the set P Q R

Answer:a) b)

8. The Venn diagramin the answer space shows sets P, Q and R. Given that

universal set = P Q R. On the answer spaces , shadea) Q (P R),

b) (Q R) P.

Answer:a)

P

Q

R

Q

R

P

P

Q RP RQ


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Enrichment

Sets 5

9.. Given that universal set = { x : 31 x 45, x are integers}.

Set P = { x : x are prime numbers }Set Q = { x : x are odd numbers }

Set R = { x : x is a number where the sumofits digits is more than 8 }

a) List out all the elements for set R,

b) Find n (P Q R).

10. The Venn diagramin the answer space shows sets P, Q and R. Given that universal set = P Q R. On the answer spaces, shade

a) (P Q) U R b) (P U R) Q

PR

P

Q

R


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Enrichment

Sets 6

Past Year SPM Questions

Paper 2

July 2004

1. The Venn diagramin the answer space shows sets P, Q and R such that theuniversal set = P Q R.

On the diagramin the answer space, shadea) the set Q.

b) the set P (Q R).

Answer:

a) b)

November 2004

1. The Venn diagramin the answer space shows sets A, B andC. On the diagram

providedin the answer spaces, shade

a) the set A Bb) the set A B C.

Answer:

a) b)

July 2005

2 The Venn diagramin the answer space shows sets P, Q and R such that the

universal set = P Q R.On the diagramin the answer space, shade

a) the set P R.b) the set (P Q) R.

A B

C

A B C

QP

R

QP

R


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Enrichment

Sets 7

Answer:a) b)

July 2006

4. The Venn diagramin the answer space shows sets P, Q and R such that the

universal set = P Q R.On the diagramin the answer space, shade

a. the set P R.b. the set (P R) Q.

Answer:

c) b)

November 2006

5. The Venn diagramin the answer space shows sets P, Q and R such that the universal set,

P Q R\ ! .

On the diagrams in the answer space, shade

a) the set'P Q

b) the set 'P Q R

Answer:

a) b)

QP

R

QP

R

QP

R

QP

R

P

Q

R P

QR


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Enrichment

Sets 8

6. June 2007

The Venn diagrams in the answer space shows sets K, L and M such that the universal

set, MLK !\ .

On the diagrams in the answer space, shade the set

a) MK' ,

b) )M'(LK . [3 marks]

Answer :

a)

b)

L

K

M

L

K

M


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Enrichment

Sets 9

7. Nov 2008

The Venn diagrams in the answer space shows sets P, Q and R such that the universal set,RQP !\ .

On the diagrams in the answer space, shade [3 marks]

a) QP ,

b) R)(P ' Q .

Answer

a)

b)

R

P Q

R

P Q


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Enrichment

Sets 10

ANSWERS

SPM PAST YEAR QUESTION (PAPER 2)

1 2004J (a) (b)

2 2004N (a) (b)

3 2005J (a) (b)

4 2006J (a) (b)

5 2006N (a) (b)

6 2007J (a) (b)

Q

PR

Q

P

PR

PR

QP

R

QP

R

A B

C

A B

P

QR

P

QR

L

KM

L

KM


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Enrichment

Sets 11

7 2008N (a) (b)

R

P Q

R

P Q

chapter 5 ii set enrich

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