Bank soalan UPI kertas 2 ting 4

1449 Matematik Mac 2012 2 jam

 

SMK KUBANG KERIAN

16150 KOTA BHARU KELANTAN

 

UJIAN PENILAIAN 1

TINGKATAN EMPAT 2012

MATEMATIK 2 JAM

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU Kertas soalan ini adalah dalam dwibahasa. Calon dikehendaki membaca maklumat di halaman 2.

Kertas soalan ini mengandungi  15  halaman bercetak.

 

Section B

Bahagian B

1.  Factorise

     Faktorkan

       a.  4y + 12xy

    

b.      3x² + 9x – 12

(3 marks)

(3markah)

   Answer :

   Jawapan :

                                   

                                                                                                                                   

2 .  Solve the following quadratic equation :

      Selesaikan persamaan kuadratik berikut :

                                                                        (4marks)

                                                                        (4markah)

   Answer :

   Jawapan :

                                                                                                                                   

3   Solve the following quadratic equation :

      Selesaikan persamaan kuadratik berikut :

5m² + 4m  =  3(2 -  m)

                                                                                    (4marks)

                                                                                    (4markah)

   Answer :

   Jawapan :

4. Solve the following quadratic equqtion.

Selesaikan persamaan kuadratik berikut:

                            x² - 2     =               

                                                                                                                              (4marks)

                                                                                                                                   

5. Calculate the value of p and q that satisfy the following simultaneous linear

4p + q = 1

2p + 3q = 8

                                                                                                                              (4marks)

                                                                                                                              (4markah)

                                                                                                                       

6.   In Diagram 1  , OPQR  is a sector of a circle   with centre O. PSO is a semicircle of a circle  with diameter  PO .

Dalam gambarajah 1, OPQR ialah sector kepada bulatan berpusat O. PSO ialah  separuh bulatan yang berdiameter PO.

                       

 

                                                      Rajah 1

             Using  = , calculate. Dengan menggunakan   = , hitungkan

      a.  the area, in cm², of the shaded region,

           luas dalam cm², kawasan yang berlorek.

                                               

b.      the perimeter, in cm, of the whole diagram.

Perimeter, dalam cm , bagi seluruh rajah.

                                                                                                                                    (6 marks)

.   

                                                                                                                                   

           

7. Given that  x = {x : 12 }

    Diberi bahawa

M = {x : x is an even number}

M = {x : x ialah nombor genap}

            Q = {x : x is a two digit number where the sum of all their digits is 5}

            Q = {x : x adalah nombor dua digit yang apabila dijumlahkan bersamaan dengan 5}

            a) list all the elements of

                senaraikan kesemua unsur bagi                                                                  [2 marks]

i  - set M

ii - set Q

               ______________________________________________________________________

               ______________________________________________________________________

            b) draw a Venn diagram to represent set M and set Q

                 lukis gambarajah Venn bagi mewakili set M dan set Q                             [1 marks]

            c) state the values of

                nyatakan bilangan bagi                                                                               [2 marks]

i  - n(M)

ii - n(Q)

               _______________________________

               _______________________________

8. If {27, 29, 33, 37, x +10, 41} = {27, y – 6, 33, 37, 39, 52 – z}

    Find the value of x, y and z.

    Jika {27, 29, 33, 37, x +10, 41} = {27, y – 6, 33, 37, 39, 52 – z}

    Cari nilai x, y dan z.

   Answer :

   Jawapan :

                                                                                                                                    [3 marks]

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