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TEST 1 Name: ________________  

1

12

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1 (a) Given that G = and the inverse matrix of G is

find the value of r  and of s.

(b) Hence, using matrices, calculate the value of p and of q that satisfies thefollowing equation :

 

   

  

    −1

!",

"

!1   

  

 −r 

 s

   

 −

=   

 

1

q

 pG

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2. #alculate the value of x and of $ that satisf$ the following simultaneous linear equations.

1=−   y x  

%   =+   y x  &4 marks'

3  On the graph in the answer space, shade the region which satisfy the three inequalities

3. a) tate wheather each of the following statements is true or false.

 Nyatakan sama ada pernyataan berikut benar  atau palsu 

(i)  = * or ".)

+=  

(ii) ( ! ) x ( " ) = - and !

(b) #om/lete the /remise in the following argument:

  Tulis Premis  untuk melengkapkan hujah berikut :

0remise 1 : f the determinant of a matrix = -, then the matrix does nothave an inverse.

   Premis 1 : Jika penentu matriks =0 maka matriks tidak mempunyai

 s!ngsang 0remise : 22222222222222222222222222222222222222222222222 

   Premis "  :22222222222222222222222222222222222222222222222 #onclusion :3atrix 4 does not have an inverse.   #esimpulan : $atriks % tiada s!ngsang

(c) 5rite down two im/lications based on the following sentence.Tuliskan dua implikasi berdasarkan pernyataan berikut 

A ⊂ B if and onl$ if A ∩B = A’

 A ⊂    B jika dan hanya jika A ∩  B = A’

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4 6iagram shows a solid that is a combination of a /$ramid &P'()  and a semi c$linder. &)  = 1

cm,  P' = 1! cm. , P)  = '( = 1- cm. 7sing+

=π   , find the volume, in cm)  of the solid.

5 Diagram 3 shows two sectors OPQR  and OJKL. OPQR  and OJKL are three quarters of a circle.POL and JOR  are straight lines. OP  = 21cm and OJ = 7 cm.

Using

+π = , calculate

a! the perimeter, in cm, of the whole diagram,"! the area, in cm2, of the shaded region.

!

& 

 P 

 (

) 

'

64G843

* P 

'

 (

 J 

 L

 #