7/27/2019 Matematik spm Revision Set 1

1/19

Fokus Ja

PROGRAM PENINGKATAN 2Q NEGERI SELANGOR

MATEMATIK SPM 2010

FOKUS JAYA SET 1

BAHAGIAN A

1 The Venn diagram in the answer space shows setsP, Q andR such that the universal set RQP = .

On the diagram in the answer space, shade

(a) the set ,QP

(b) the set ( ) RQP ' .[3 m

Answers :

(a) (b)

2. Diagram below is a Venn diagram which shows the setsX, YandZsuch that the universal set =XYZ.

On a separate diagram, shade the region that represents

(a) X' Z (b) (YZ') X

3. The Venn diagram in the answer space shows setsA, B and C. Given the universal

set =A B C. On the diagram provided in the answer spaces, shade

1

RP Q R

P Q

BA' ( )CBA

7/27/2019 Matematik spm Revision Set 1

2/19

Fokus Ja

4. Calculate the value ofx and ofy that satisfy the following simultaneous linear equations:

4 1

2 3 8

x y

x y

+ =

+ =[4 marks]

2

7/27/2019 Matematik spm Revision Set 1

3/19

Fokus Ja

4 Solve the following quadratic equation:

2 4 9 2( 3)x x x+ =

[4 m

5. Solve the quadratic equation 17

242

=

m

m

3

7/27/2019 Matematik spm Revision Set 1

4/19

Fokus Ja

6 (a) State whether the following statement is true or false.

(b) Write down the converse of the following implication.

Hence, state whether the converse is true or false.

(c) Write down Premise 2 to complete the following argument:

Premise 1 : If the radius of a circle is 14 cm, then the circumference of

the circle is 28 cm.

Premise 2 :

Conclusion : The radius of the circle is not 14 cm.

(d) Make a general conclusion by induction for the sequence of numbers 7

27, which follows the following pattern.

[6 ma

Answers :

(a)

(b)

(c)

(d)

4

Some even numbers are divisible by 3.

Ifx is a multi le of 12 thenx is a multi le of 3.

( ) 1237 1 +=

( ) 22314 2 +=

( )

.................

323213

=

+=

7/27/2019 Matematik spm Revision Set 1

5/19

Fokus Ja

7(a)Combine the following statements to form a true statement.

Statement 1: