SlideShare una empresa de Scribd logo
1 de 20
Descargar para leer sin conexión
ppr maths nbk


1449/1
Mathematics
Paper 1
October
2007
 1
1 hours
 4                         JABATAN PELAJARAN NEGERI
                         NEGERI SEMBILAN DARUL KHUSUS

                                  PPSMI ASSESSMENT
                                         2007

                                     MATHEMATICS
                                        Form Four
                                          Paper 1
                                One hour and fifteen minutes
                                         Kertas 2

     DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO

1.     This question paper consists of 40 questions.

2.     Answer all questions.

3.     Each question in this paper has four suggested answers marked A , B , C and D.
       Choose only one answer for each question and shade the correct space on the answer
       sheet provided.

4.     Think carefully before answering. If you wish to change your answer, erase properly
       and shade your new answer.




                        This question paper has xx printed pages.
1449/1                                                       2                              Form Four



                                        MATHEMATICAL FORMULAE

The following formulae may be helpful in answering the questions. The symbols given are the
ones commonly used.

                                                         RELATIONS

1    am × an = am + n                                                12 Pythagoras Theorem
                                                                        c2 = a2 + b2

2    am ÷ an = am − n                                                13        y2 − y1
                                                                          m=
                                                                               x2 − x1

3    (am )n = am n                                                   14         y − intercept
                                                                          m=−
                                                                                x − intercept

4               1 ⎛ d − b⎞
     A−1 =           ⎜       ⎟
             ad − bc ⎜ − c a ⎟
                     ⎝       ⎠
5               n( A)
     P ( A) =
                n( S )

6    P ( A' ) = 1 − P( A)

7    Distance =          ( x2 − x1 ) 2 + ( y2 − y1 ) 2
8                         ⎛ x + x y + y2 ⎞
     Midpoint, ( x, y ) = ⎜ 1 2 , 1      ⎟
                          ⎝ 2       2 ⎠
9                              distance travelled
     Average speed =
                                   time taken

10               sum of data
     Mean =
                number of data

11              sum of (class marks × frequency)
     Mean =
                      sum of frequencies




1449/1                                                                                      Form Four
PPSMI/Maths/F4/P1/2007
1449/1                                           3           Form Four

                                    SHAPES AND SPACE

1                        1
     Area of trapezium = × sum of parallel sides × height
                          2
2    Circumference of circle = π d = 2 π r

3    Area of circle = π r 2

4    Curved surface area of cylinder = 2 π r h


5    Surface area of sphere = 4 π r 2


6    Volume of right prism = cross sectional area × length

7    Volume of cylinder = π r 2 h

8                    1
     Volume of cone = π r 2 h
                     3

9                      4
     Volume of sphere = π r 3
                       3

10                            1
     Volume of right pyramid = × base area × height
                              3

11 Sum of interior angles of polygon = (n −2)×180°


12         arc length          angle subtended at centre
                             =
     circumference of circle             360o


13   area of sector angle subtended at centre
                    =
     area of circle           360o

14                       PA'
     Scale factor, k =
                         PA

15 Area of image = k2 × area of object




1449/1                                                       [Turn Over
PPSMI/Maths F4/P1/2007
1449/1                                          4               Form Four



1.       Round off 0⋅0459 correct to two significant figures.

         A       0⋅04

         B       0⋅045

         C       0⋅046

         D       0⋅05

2.       Express 0⋅00205 in standard form.

         A       2⋅05 × 103

         B       2⋅05 × 102

         C       2⋅05 × 10−3

         D       2⋅05 × 10−2

3.       2⋅38 × 104 − 8⋅41 × 103 =

         A       1⋅539 × 104

         B       1⋅539 × 103

         C       6⋅03 × 104

         D       6⋅03 × 103

         5.2 × 10 −7
4.                     =
         (4 ×10 )
                −2 2




         A       3⋅25 × 10−4

         B       1⋅3 × 10−3

         C       3⋅25 × 10−12

         D       1⋅3 × 10−11




1449/1                                                          Form Four
PPSMI/Maths/F4/P1/2007
1449/1                                               5                                        Form Four



5.       The volume of a bottle of mineral water is 512 ml.
         The total volume, in litres, of 6 similar bottles of mineral water, correct to three
         significant figures is

         A       3⋅07

         B       30⋅7


         C       307

         D       3070

6.       ( r − 2s )( 5r + s ) =

         A       5r2 − 9rs − 2s2

         B       5r2 − 9rs + 2s2

         C       5r2 + 11rs − 2s2

         D       5r2 + 11rs + 2s2

7.       5g ( g − h ) − ( 2g − h )2 =

         A       g2 − gh − h2

         B       g2 − 5gh − h2

         C       g2 − 5gh + h2

         D       g2 − 9gh + h2

8.       It is given that the universal set ξ = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }, set P = { 1 , 3 , 5 , 7 } and
         set P ∩ Q = { 5 , 7 }.
         If ξ = P ∪ Q , list all the elements of set Q’.

         A       1,3

         B       2,4,6

         C       1,2,3,4,6

         D       2,4,5,6,7




1449/1                                                                                       [Turn Over
PPSMI/Maths F4/P1/2007
1449/1                                              6                             Form Four



9.       Diagram 1 shows a Venn diagram which shows the number of elements of sets J , K
         and L.
                                J           K              L


                                      5         3       1   4     2



                                           DIAGRAM 1

         If the universal set ξ = J ∪ K ∪ L , find n( J’ ∩ L ).

         A      3

         B      4

         C      6

         D      7

10.      The Venn diagram in Diagram 2 shows the universal set ξ, the elements of sets P , Q
         and R.
                      ξ

                                 P                          Q

                                 •7                         R
                                           •1       •2
                                                            •8
                                 •4        •5
                                                    •6
                                                                  •3

                                           DIAGRAM 2

         State all the elements of set P’ ∩ R’.

         A      2,6

         B      2,3,6

         C      2,6,8

         D      2,3,6,8




1449/1                                                                            Form Four
PPSMI/Maths/F4/P1/2007
1449/1                                               7                         Form Four



11.      Find the y-intercept of the straight line 5x − 3y = 15.

         A      5

         B      3

         C      −3

         D      −5
                                                     x y
12.      Find the x-intercept of the straight line    + = 1.
                                                     3 4
                 1
         A
                 4

                 1
         B
                 3

         C      3

         D      4

13.      Diagram 3 shows the straight line PQ on a Cartesian plane. DO GRIDS without
         coords.                               y



                                  P(−3,3)

                                                                   x
                                                     O



                                                         Q(1,−5)



                                            DIAGRAM 3
         Find the gradient of PQ.

         A      −2

                     1
         B       −
                     2

         C      1

         D      2


1449/1                                                                        [Turn Over
PPSMI/Maths F4/P1/2007
1449/1                                              8                             Form Four



14.      Diagram 4 is a bar chart which shows the score of a Mathematics quiz in class 4
         Alpha
                      Number of students


                            10

                             8

                             6

                             4

                             2

                                                                    Score
                                  1      2      3       4   5

                                           DIAGRAM 4
         Find the median score.

         A      4

         B      3

         C      2

         D      1

15.      Diagram 5 is a pictograph showing the number of books sold in January and
         March. The number of books sold in February are not shown.

                             Month           Number of books sold
                             January
                             February
                             March
                                        represents 30 books

                                        DIAGRAM 5
         The mean number of books sold for the three months is 150.
         Calculate the number of books sold in February.
         A      60

         B      90

         C      142

         D      210


1449/1                                                                            Form Four
PPSMI/Maths/F4/P1/2007
1449/1                                           9                                  Form Four



16.      Diagram 6 is a pie chart which shows four uniform groups in a certain school.
                                                                   Police Cadets

              Red Crescent Society
                                              150°
                                                       75°            School Youth Cadets



                           Scouts

                                          DIAGRAM 6
         Calculate the ratio of the number of students in the Red Crescent Society to the
         number of students in the Police Cadets.

         A      3 : 10

         B      10 : 3

         C      1:5

         D      5:1

17.      A box contains similar white balls and green balls.
         A ball is picked at random from the box.
                                                      5
         The probability of picking a green ball is .
                                                      9
         If there are 36 balls in the box, calculate the number of white balls.

         A      16

         B      18

         C      20

         D      32




1449/1                                                                              [Turn Over
PPSMI/Maths F4/P1/2007
1449/1                                          10                              Form Four

18.      Diagram 7 shows eight numbered cards.

               1        2        3       4        5       6        7    8

                                          DIAGRAM 7
         A card is picked at random.
         Find the probability that the number shown is a factor of 8.

                   1
         A
                   8
                   1
         B
                   4
                   3
         C
                   8
                   1
         D
                   2

19.      Ameen keeps his 15 blue marbles and 7 red marbles in a box. Later Ameen adds 3
         blue marbles and 5 red marbles into the same box.
         A marble is chosen at random from the box.
         Find the probability of choosing a red marble.

                   2
         A
                   5

                   7
         B
                   22

                   4
         C
                   9

                 6
         D
                11




1449/1                                                                          Form Four
PPSMI/Maths/F4/P1/2007
1449/1                                           11                                  Form Four

20.      Diagram 8 shows some letter cards.

             P   L     E        A        S   E     B       E         Q       U   I   E    T

                                             DIAGRAM 8

         A card is picked at random.
         Find the probability that a card with letter E is picked?
                  1
         A
                 13

                 1
         B
                 4

                 2
         C
                 5

                  4
         D
                 13

21.      In Diagram 9, LMN is a tangent to the circle at the points M.

                                                               N
                                                       M



                                                           O   56°       P
                                    z°
                         L                        120°
                                                     Q

                                             DIAGRAM 9
         Find the value of z.

         A       28

         B       38

         C       68

         D       72




1449/1                                                                               [Turn Over
PPSMI/Maths F4/P1/2007
1449/1                                                 12                                  Form Four

22.      In Diagram 10, PQR is a tangent to the circle QTS at Q.

                                                            S

                                     P
                                                        x°

                                             Q                              105°
                                                       65°              T              U



                                                                    R
                                             DIAGRAM 10

         Find the value of x.

         A      30

         B      40

         C      50

         D      60

23.      In Diagram 11, EFG is a tangent to the circle at F. JOK is the diameter of the circle.
         HJF is a straight line.



                                    H
                                                 y°             O             K
                                             J

                                                      30°
                                         E         F                               G
                                             DIAGRAM 11
         Find the value of y.

         A      105

         B      120

         C      135

         D      150




1449/1                                                                                     Form Four
PPSMI/Maths/F4/P1/2007
1449/1                                           13                                   Form Four

24.      It is given that cos y°= −0⋅8251 and 90°≤ y°≤ 270°.
         Find the value of y.

         A      124⋅40

         B      145⋅60

         C      214⋅40

         D      235⋅60

25.      In Diagram 12, O is the centre of the unit circle.

                                                          y
                                                      1
                                                                   P(0⋅6231,0⋅8816)

                                      −1                      θ°     1   x
                                                   O



                                                −1
                                           DIAGRAM 12
         The value of θ is

         A      28⋅16

         B      38⋅54

         C      51⋅46

         D      61⋅83




1449/1                                                                                [Turn Over
PPSMI/Maths F4/P1/2007
1449/1                                             14                            Form Four

26.      In Diagram 13, QRS is a straight line.


                                 P

                                 4                            y°

                                 Q                        R          S
                                            DIAGRAM 13
                                     4
         Given that cos ∠QPR =         , find the value of cos y°.
                                     5
                 3
         A
                 5

                 4
         B
                 5

                     3
         C      −
                     5

                     4
         D      −
                     5

27.      In Diagram 14, LMN and PQ are two vertical poles standing on a horizontal ground.
                                            L


                                           M                   P


                                            N          Q
                                            DIAGRAM 14

         The angle of elevation of peak L from peak P is

         A      ∠LPN

         B      ∠LQN

         C      ∠MPL

         D      ∠MLP




1449/1                                                                           Form Four
PPSMI/Maths/F4/P1/2007
1449/1                                            15                          Form Four



28.      In Diagram 15, EF is a vertical flag pole. GF is horizontal.
                                                         E




                                 G            20 m          F
                                          DIAGRAM 15
         The angle of depression of G from E is 35°.
         Calculate the height, in m, of the flag pole EF.

         A

         B

         C

         D

29.      Diagram 16 shows a right prism with a rectangular base EFGH. The trapezium EFQP
         is the uniform cross section of the prism.
                                              S
                           P                            R
                                      Q
                                               H
                          E
                                                                G
                                          F
                                          DIAGRAM 16
         Identify the angle between the line PG and the base EFGH.

         A      ∠PGE

         B      ∠PGF

         C      ∠PGH

         D      ∠PGR




1449/1                                                                       [Turn Over
PPSMI/Maths F4/P1/2007
1449/1                                        16                                 Form Four

30.      Diagram 17 shows a right pyramid with a square base JKLM. The vertex V is
         vertically above M.
                                                 V




                                                   M
                                    J                         L

                                            K
                                        DIAGRAM 17

         Identify the angle between the plane VKL and the base JKLM.

         A      ∠VKM

         B      ∠VML

         C      ∠VLM

         D      ∠VMK

31.      In Diagram 18, PQRST are 5 consecutive vertices of a regular polygon.
                                P


                               Q                          T
                                                       30°
                                        R       S
                                         DIAGRAM 18
         Find the number of sides of the polygon.

         A      5

         B      6

         C      10

         D      12




1449/1                                                                           Form Four
PPSMI/Maths/F4/P1/2007
1449/1                                           17                             Form Four



32.      In Diagram 19, PQRSTU is a regular hexagon. UQV and SRV are straight lines.
                                                                        V
                                                                   n°
                                         P            Q
                                                      m°
                                    U                      R


                                         T            S
                                        DIAGRAM 19
         Find the value of m + n.

         A      108

         B      120

         C      144

         D      180

33.      Diagram 20 shows two quadrilaterals, KLMN and EFGH drawn on a square grid.



                                                 E

                                    K
                         P•
                                             N
                         Q• S•                                 H
                         R•
                                    L     M
                                                 F         G




                                          DIAGRAM 20
         Quadrilateral EFGH is the image of quadrilateral KLMN under an enlargement.
         State the centre of enlargement.
         A       P

         B      Q

         C      R

         D      S


1449/1                                                                         [Turn Over
PPSMI/Maths F4/P1/2007
1449/1                                              18                              Form Four

34.      Diagram 21 shows two triangles PQR and RST drawn on a square grid.




                                          P

                                           T


                                 Q                       S
                                          R




                                           DIAGRAM 21
         The triangle RST is the image of the triangle PQR under a clockwise rotation.
         State the centre of rotation and the corresponding angle of rotation.

             Centre      Angle of rotation

         A      R               90°

         B      T               90°

         C      R               270°

         D      T               270°

35.      It is given that 5 − 3(2k + 1) = 2k + 4.
         Find the value of k.

                     5
         A       −
                     2

                     3
         B       −
                     2

                 1
         C
                 5

                 3
         D
                 4




1449/1                                                                              Form Four
PPSMI/Maths/F4/P1/2007
1449/1                                                 19                            Form Four

                                   h
36.      Given that h − r =          , express h in terms of r.
                                   r
                  2r
         A
                 r −1

                  2r
         B
                 r +1

                  r2
         C
                 r −1

                 − r2
         D
                 r +1
                                                            3
                                                            5
37.      Which of the following is equivalent to w ?

                 5
         A           w3

                 3
         B           w5

         C       (w)  3
                          5




         D       (w)  5
                          3




                     (27m n ) × n
                                  1
                              3 9 3      9
38.      Simplify
                        (m n )
                                     1
                              −2   4 2




         A

         B

         C

         D

39.      List all the integers x which satisfy both the inequalities 8 − x ≤ 6 and
         3(x − 6) ≤ 12 − 2x.

         A      2,3,4,5

         B      2,3,4,5,6

         C      3,4,5

         D      3,4,5,6

1449/1                                                                               [Turn Over
PPSMI/Maths F4/P1/2007
1449/1                                          20      Form Four



                                    5n
40.      The solution for n − 1 ≤      = 4 is
                                     2
         A      n ≥ −2

         B      n≥2

         C      n ≤ −2

         D      n≤2



                                END OF QUESTION PAPER




1449/1                                                  Form Four
PPSMI/Maths/F4/P1/2007

Más contenido relacionado

La actualidad más candente

Trial Sbp 2007 Mm1
Trial Sbp 2007 Mm1Trial Sbp 2007 Mm1
Trial Sbp 2007 Mm1norainisaser
 
Math 1: Sets and Number Theory
Math 1: Sets and Number TheoryMath 1: Sets and Number Theory
Math 1: Sets and Number TheoryRenee Tan
 
ملزمة الرياضيات للصف السادس التطبيقي الفصل الخامس المعادلات التفاضلية 2022
ملزمة الرياضيات للصف السادس التطبيقي الفصل الخامس المعادلات التفاضلية 2022 ملزمة الرياضيات للصف السادس التطبيقي الفصل الخامس المعادلات التفاضلية 2022
ملزمة الرياضيات للصف السادس التطبيقي الفصل الخامس المعادلات التفاضلية 2022 anasKhalaf4
 
2022 ملزمة الرياضيات للصف السادس الاحيائي - الفصل الخامس - المعادلات التفاضلية
2022 ملزمة الرياضيات للصف السادس الاحيائي - الفصل الخامس - المعادلات التفاضلية2022 ملزمة الرياضيات للصف السادس الاحيائي - الفصل الخامس - المعادلات التفاضلية
2022 ملزمة الرياضيات للصف السادس الاحيائي - الفصل الخامس - المعادلات التفاضليةanasKhalaf4
 
Trial Sbp 2007 Mm2
Trial Sbp 2007 Mm2Trial Sbp 2007 Mm2
Trial Sbp 2007 Mm2norainisaser
 
2022 ملزمة الرياضيات للصف السادس الاحيائي الفصل الثالث تطبيقات التفاضل
2022 ملزمة الرياضيات للصف السادس الاحيائي الفصل الثالث   تطبيقات التفاضل2022 ملزمة الرياضيات للصف السادس الاحيائي الفصل الثالث   تطبيقات التفاضل
2022 ملزمة الرياضيات للصف السادس الاحيائي الفصل الثالث تطبيقات التفاضلanasKhalaf4
 
F4 Maths Ppsmi 2007 P2
F4 Maths Ppsmi 2007 P2F4 Maths Ppsmi 2007 P2
F4 Maths Ppsmi 2007 P2norainisaser
 
2022 ملزمة الرياضيات للصف السادس التطبيقي الفصل الثالث - تطبيقات التفاضل
 2022 ملزمة الرياضيات للصف السادس التطبيقي   الفصل الثالث - تطبيقات التفاضل 2022 ملزمة الرياضيات للصف السادس التطبيقي   الفصل الثالث - تطبيقات التفاضل
2022 ملزمة الرياضيات للصف السادس التطبيقي الفصل الثالث - تطبيقات التفاضلanasKhalaf4
 
Mac331 complex analysis_mfa_week6_16-10-20 (1)
Mac331 complex analysis_mfa_week6_16-10-20 (1)Mac331 complex analysis_mfa_week6_16-10-20 (1)
Mac331 complex analysis_mfa_week6_16-10-20 (1)KINGSHUKMUKHERJEE11
 
1d. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.4
1d. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.41d. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.4
1d. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.4Dr. I. Uma Maheswari Maheswari
 
ملزمة الرياضيات للصف السادس التطبيقي الفصل الثاني القطوع المخروطية 2022
ملزمة الرياضيات للصف السادس التطبيقي الفصل الثاني القطوع المخروطية 2022ملزمة الرياضيات للصف السادس التطبيقي الفصل الثاني القطوع المخروطية 2022
ملزمة الرياضيات للصف السادس التطبيقي الفصل الثاني القطوع المخروطية 2022anasKhalaf4
 
ملزمة الرياضيات للصف السادس الاحيائي الفصل الثاني القطوع المخروطية 2022
 ملزمة الرياضيات للصف السادس الاحيائي الفصل الثاني القطوع المخروطية 2022  ملزمة الرياضيات للصف السادس الاحيائي الفصل الثاني القطوع المخروطية 2022
ملزمة الرياضيات للصف السادس الاحيائي الفصل الثاني القطوع المخروطية 2022 anasKhalaf4
 
1e. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.5
1e. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.51e. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.5
1e. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.5Dr. I. Uma Maheswari Maheswari
 
ملزمة الرياضيات للصف السادس الاحيائي الفصل الاول
ملزمة الرياضيات للصف السادس الاحيائي الفصل الاولملزمة الرياضيات للصف السادس الاحيائي الفصل الاول
ملزمة الرياضيات للصف السادس الاحيائي الفصل الاولanasKhalaf4
 
ملزمة الرياضيات للصف السادس التطبيقي الفصل الاول الاعداد المركبة 2022
 ملزمة الرياضيات للصف السادس التطبيقي الفصل الاول الاعداد المركبة 2022 ملزمة الرياضيات للصف السادس التطبيقي الفصل الاول الاعداد المركبة 2022
ملزمة الرياضيات للصف السادس التطبيقي الفصل الاول الاعداد المركبة 2022anasKhalaf4
 
Chapter 1 Functions Relations V3
Chapter 1 Functions Relations V3Chapter 1 Functions Relations V3
Chapter 1 Functions Relations V3luxvis
 
Lesson 29: Integration by Substition (worksheet solutions)
Lesson 29: Integration by Substition (worksheet solutions)Lesson 29: Integration by Substition (worksheet solutions)
Lesson 29: Integration by Substition (worksheet solutions)Matthew Leingang
 
AA Section 5-4
AA Section 5-4AA Section 5-4
AA Section 5-4Jimbo Lamb
 

La actualidad más candente (20)

Trial Sbp 2007 Mm1
Trial Sbp 2007 Mm1Trial Sbp 2007 Mm1
Trial Sbp 2007 Mm1
 
Math 1: Sets and Number Theory
Math 1: Sets and Number TheoryMath 1: Sets and Number Theory
Math 1: Sets and Number Theory
 
ملزمة الرياضيات للصف السادس التطبيقي الفصل الخامس المعادلات التفاضلية 2022
ملزمة الرياضيات للصف السادس التطبيقي الفصل الخامس المعادلات التفاضلية 2022 ملزمة الرياضيات للصف السادس التطبيقي الفصل الخامس المعادلات التفاضلية 2022
ملزمة الرياضيات للصف السادس التطبيقي الفصل الخامس المعادلات التفاضلية 2022
 
2022 ملزمة الرياضيات للصف السادس الاحيائي - الفصل الخامس - المعادلات التفاضلية
2022 ملزمة الرياضيات للصف السادس الاحيائي - الفصل الخامس - المعادلات التفاضلية2022 ملزمة الرياضيات للصف السادس الاحيائي - الفصل الخامس - المعادلات التفاضلية
2022 ملزمة الرياضيات للصف السادس الاحيائي - الفصل الخامس - المعادلات التفاضلية
 
Trial Sbp 2007 Mm2
Trial Sbp 2007 Mm2Trial Sbp 2007 Mm2
Trial Sbp 2007 Mm2
 
2022 ملزمة الرياضيات للصف السادس الاحيائي الفصل الثالث تطبيقات التفاضل
2022 ملزمة الرياضيات للصف السادس الاحيائي الفصل الثالث   تطبيقات التفاضل2022 ملزمة الرياضيات للصف السادس الاحيائي الفصل الثالث   تطبيقات التفاضل
2022 ملزمة الرياضيات للصف السادس الاحيائي الفصل الثالث تطبيقات التفاضل
 
F4 Maths Ppsmi 2007 P2
F4 Maths Ppsmi 2007 P2F4 Maths Ppsmi 2007 P2
F4 Maths Ppsmi 2007 P2
 
2022 ملزمة الرياضيات للصف السادس التطبيقي الفصل الثالث - تطبيقات التفاضل
 2022 ملزمة الرياضيات للصف السادس التطبيقي   الفصل الثالث - تطبيقات التفاضل 2022 ملزمة الرياضيات للصف السادس التطبيقي   الفصل الثالث - تطبيقات التفاضل
2022 ملزمة الرياضيات للصف السادس التطبيقي الفصل الثالث - تطبيقات التفاضل
 
Mac331 complex analysis_mfa_week6_16-10-20 (1)
Mac331 complex analysis_mfa_week6_16-10-20 (1)Mac331 complex analysis_mfa_week6_16-10-20 (1)
Mac331 complex analysis_mfa_week6_16-10-20 (1)
 
1d. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.4
1d. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.41d. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.4
1d. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.4
 
ملزمة الرياضيات للصف السادس التطبيقي الفصل الثاني القطوع المخروطية 2022
ملزمة الرياضيات للصف السادس التطبيقي الفصل الثاني القطوع المخروطية 2022ملزمة الرياضيات للصف السادس التطبيقي الفصل الثاني القطوع المخروطية 2022
ملزمة الرياضيات للصف السادس التطبيقي الفصل الثاني القطوع المخروطية 2022
 
ملزمة الرياضيات للصف السادس الاحيائي الفصل الثاني القطوع المخروطية 2022
 ملزمة الرياضيات للصف السادس الاحيائي الفصل الثاني القطوع المخروطية 2022  ملزمة الرياضيات للصف السادس الاحيائي الفصل الثاني القطوع المخروطية 2022
ملزمة الرياضيات للصف السادس الاحيائي الفصل الثاني القطوع المخروطية 2022
 
1e. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.5
1e. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.51e. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.5
1e. Pedagogy of Mathematics (Part II) - Set language introduction and Ex.1.5
 
ملزمة الرياضيات للصف السادس الاحيائي الفصل الاول
ملزمة الرياضيات للصف السادس الاحيائي الفصل الاولملزمة الرياضيات للصف السادس الاحيائي الفصل الاول
ملزمة الرياضيات للصف السادس الاحيائي الفصل الاول
 
Complex%20numbers
Complex%20numbersComplex%20numbers
Complex%20numbers
 
ملزمة الرياضيات للصف السادس التطبيقي الفصل الاول الاعداد المركبة 2022
 ملزمة الرياضيات للصف السادس التطبيقي الفصل الاول الاعداد المركبة 2022 ملزمة الرياضيات للصف السادس التطبيقي الفصل الاول الاعداد المركبة 2022
ملزمة الرياضيات للصف السادس التطبيقي الفصل الاول الاعداد المركبة 2022
 
Chapter 1 Functions Relations V3
Chapter 1 Functions Relations V3Chapter 1 Functions Relations V3
Chapter 1 Functions Relations V3
 
Lesson 29: Integration by Substition (worksheet solutions)
Lesson 29: Integration by Substition (worksheet solutions)Lesson 29: Integration by Substition (worksheet solutions)
Lesson 29: Integration by Substition (worksheet solutions)
 
AA Section 5-4
AA Section 5-4AA Section 5-4
AA Section 5-4
 
Metrix[1]
Metrix[1]Metrix[1]
Metrix[1]
 

Destacado

Notes Chapter 2, Grammar 2
Notes Chapter 2, Grammar 2Notes Chapter 2, Grammar 2
Notes Chapter 2, Grammar 2potasz
 
Press Releases 4 Q05 En
Press Releases 4 Q05 EnPress Releases 4 Q05 En
Press Releases 4 Q05 EnTIM RI
 
Binder26 Sumut
Binder26 SumutBinder26 Sumut
Binder26 Sumutepaper
 
a short brief of SMK Landas Ajil Terengganu
a short brief of SMK Landas Ajil Terengganua short brief of SMK Landas Ajil Terengganu
a short brief of SMK Landas Ajil Terengganuzafeen zafeen
 
Webcast 3Q10
Webcast 3Q10Webcast 3Q10
Webcast 3Q10TIM RI
 
Yet anothr test of slide share
Yet anothr test of slide shareYet anothr test of slide share
Yet anothr test of slide shareWilliam Hart
 
Tommytrc Presentation #Blsms
Tommytrc Presentation #BlsmsTommytrc Presentation #Blsms
Tommytrc Presentation #BlsmsThomas Clifford
 
CGA 2008: Innovative Marketing Kate Pietrelli
CGA 2008: Innovative Marketing Kate PietrelliCGA 2008: Innovative Marketing Kate Pietrelli
CGA 2008: Innovative Marketing Kate PietrelliKRP538
 
Cooke’S New Zealand Adventure 2008
Cooke’S  New  Zealand  Adventure 2008Cooke’S  New  Zealand  Adventure 2008
Cooke’S New Zealand Adventure 2008aprilcooke
 
Healthcarenapkinall 090816001957 Phpapp01
Healthcarenapkinall 090816001957 Phpapp01Healthcarenapkinall 090816001957 Phpapp01
Healthcarenapkinall 090816001957 Phpapp01Tim Hinson
 
Lykes Excelleration Surety 7 22 09
Lykes Excelleration Surety 7 22 09Lykes Excelleration Surety 7 22 09
Lykes Excelleration Surety 7 22 09jreedcpa
 
Worksheet on dw report 1 m 1sukan run
Worksheet on dw report 1 m 1sukan runWorksheet on dw report 1 m 1sukan run
Worksheet on dw report 1 m 1sukan runMokhzani Fadir
 
Digital Path to Purchase: From Content to Conversion
Digital Path to Purchase: From Content to ConversionDigital Path to Purchase: From Content to Conversion
Digital Path to Purchase: From Content to ConversionTrepoint
 
01 17-2013 digital presentation of mark
01 17-2013 digital presentation of mark01 17-2013 digital presentation of mark
01 17-2013 digital presentation of markAlbis B.
 

Destacado (20)

Std10-Maths-EM-1.pdf
Std10-Maths-EM-1.pdfStd10-Maths-EM-1.pdf
Std10-Maths-EM-1.pdf
 
Std10-Maths-EM-1.pdf
Std10-Maths-EM-1.pdfStd10-Maths-EM-1.pdf
Std10-Maths-EM-1.pdf
 
Notes Chapter 2, Grammar 2
Notes Chapter 2, Grammar 2Notes Chapter 2, Grammar 2
Notes Chapter 2, Grammar 2
 
Press Releases 4 Q05 En
Press Releases 4 Q05 EnPress Releases 4 Q05 En
Press Releases 4 Q05 En
 
Binder26 Sumut
Binder26 SumutBinder26 Sumut
Binder26 Sumut
 
a short brief of SMK Landas Ajil Terengganu
a short brief of SMK Landas Ajil Terengganua short brief of SMK Landas Ajil Terengganu
a short brief of SMK Landas Ajil Terengganu
 
Webcast 3Q10
Webcast 3Q10Webcast 3Q10
Webcast 3Q10
 
Yet anothr test of slide share
Yet anothr test of slide shareYet anothr test of slide share
Yet anothr test of slide share
 
Tipos de almacenamiento de datos
Tipos de almacenamiento de datosTipos de almacenamiento de datos
Tipos de almacenamiento de datos
 
test6
test6test6
test6
 
Tommytrc Presentation #Blsms
Tommytrc Presentation #BlsmsTommytrc Presentation #Blsms
Tommytrc Presentation #Blsms
 
Migrating legacy data
Migrating legacy dataMigrating legacy data
Migrating legacy data
 
CGA 2008: Innovative Marketing Kate Pietrelli
CGA 2008: Innovative Marketing Kate PietrelliCGA 2008: Innovative Marketing Kate Pietrelli
CGA 2008: Innovative Marketing Kate Pietrelli
 
Cooke’S New Zealand Adventure 2008
Cooke’S  New  Zealand  Adventure 2008Cooke’S  New  Zealand  Adventure 2008
Cooke’S New Zealand Adventure 2008
 
Healthcarenapkinall 090816001957 Phpapp01
Healthcarenapkinall 090816001957 Phpapp01Healthcarenapkinall 090816001957 Phpapp01
Healthcarenapkinall 090816001957 Phpapp01
 
Uu 22 Tahun 2009
Uu 22 Tahun 2009Uu 22 Tahun 2009
Uu 22 Tahun 2009
 
Lykes Excelleration Surety 7 22 09
Lykes Excelleration Surety 7 22 09Lykes Excelleration Surety 7 22 09
Lykes Excelleration Surety 7 22 09
 
Worksheet on dw report 1 m 1sukan run
Worksheet on dw report 1 m 1sukan runWorksheet on dw report 1 m 1sukan run
Worksheet on dw report 1 m 1sukan run
 
Digital Path to Purchase: From Content to Conversion
Digital Path to Purchase: From Content to ConversionDigital Path to Purchase: From Content to Conversion
Digital Path to Purchase: From Content to Conversion
 
01 17-2013 digital presentation of mark
01 17-2013 digital presentation of mark01 17-2013 digital presentation of mark
01 17-2013 digital presentation of mark
 

Similar a F4 Maths Ppsmi 2007 P1

F4 Final Sbp2006 Math P1
F4 Final Sbp2006 Math P1F4 Final Sbp2006 Math P1
F4 Final Sbp2006 Math P1norainisaser
 
Mathematics Mid Year Form 5 Paper 1 2010
Mathematics Mid Year Form 5 Paper 1 2010Mathematics Mid Year Form 5 Paper 1 2010
Mathematics Mid Year Form 5 Paper 1 2010sue sha
 
Commonwealth Emath Paper1_printed
Commonwealth Emath Paper1_printedCommonwealth Emath Paper1_printed
Commonwealth Emath Paper1_printedFelicia Shirui
 
Maths Ppsmi 2006 F4 P2
Maths Ppsmi  2006 F4 P2Maths Ppsmi  2006 F4 P2
Maths Ppsmi 2006 F4 P2norainisaser
 
Anderson Emath Paper2_printed
Anderson Emath Paper2_printedAnderson Emath Paper2_printed
Anderson Emath Paper2_printedFelicia Shirui
 
1.3 solving equations t
1.3 solving equations t1.3 solving equations t
1.3 solving equations tmath260
 
Quick questions term 4 week 1
Quick questions term 4 week 1Quick questions term 4 week 1
Quick questions term 4 week 1gcashman
 
Matematik soalan kertas 1
Matematik soalan kertas 1Matematik soalan kertas 1
Matematik soalan kertas 1coxxiee
 
Spm.mathematical formulae
Spm.mathematical formulaeSpm.mathematical formulae
Spm.mathematical formulaeNazira Arshad
 
Notes and-formulae-mathematics
Notes and-formulae-mathematicsNotes and-formulae-mathematics
Notes and-formulae-mathematicsAh Ching
 
Notes and Formulae Mathematics SPM
Notes and Formulae Mathematics SPM Notes and Formulae Mathematics SPM
Notes and Formulae Mathematics SPM Zhang Ewe
 
2jam bhn per. pmr 2010
2jam bhn per. pmr 20102jam bhn per. pmr 2010
2jam bhn per. pmr 2010Ieda Adam
 
1.3 solving equations t
1.3 solving equations t1.3 solving equations t
1.3 solving equations tmath260
 
Module 4 circular functions
Module 4 circular functionsModule 4 circular functions
Module 4 circular functionsdionesioable
 
Engineering-mathematics-glyn-james-solutions EMERSON EDUARDO RODRIGUES
Engineering-mathematics-glyn-james-solutions EMERSON EDUARDO RODRIGUESEngineering-mathematics-glyn-james-solutions EMERSON EDUARDO RODRIGUES
Engineering-mathematics-glyn-james-solutions EMERSON EDUARDO RODRIGUESEMERSON EDUARDO RODRIGUES
 
N5 practice papers d f with solutions
N5 practice papers d   f with solutionsN5 practice papers d   f with solutions
N5 practice papers d f with solutionssjamaths
 

Similar a F4 Maths Ppsmi 2007 P1 (20)

Sbp p1 maths 2006
Sbp p1 maths  2006Sbp p1 maths  2006
Sbp p1 maths 2006
 
F4 Final Sbp2006 Math P1
F4 Final Sbp2006 Math P1F4 Final Sbp2006 Math P1
F4 Final Sbp2006 Math P1
 
Mathematics Mid Year Form 5 Paper 1 2010
Mathematics Mid Year Form 5 Paper 1 2010Mathematics Mid Year Form 5 Paper 1 2010
Mathematics Mid Year Form 5 Paper 1 2010
 
Commonwealth Emath Paper1_printed
Commonwealth Emath Paper1_printedCommonwealth Emath Paper1_printed
Commonwealth Emath Paper1_printed
 
Maths Ppsmi 2006 F4 P2
Maths Ppsmi  2006 F4 P2Maths Ppsmi  2006 F4 P2
Maths Ppsmi 2006 F4 P2
 
Anderson Emath Paper2_printed
Anderson Emath Paper2_printedAnderson Emath Paper2_printed
Anderson Emath Paper2_printed
 
1.3 solving equations t
1.3 solving equations t1.3 solving equations t
1.3 solving equations t
 
Rumus matematik examonline spa
Rumus matematik examonline spaRumus matematik examonline spa
Rumus matematik examonline spa
 
Quick questions term 4 week 1
Quick questions term 4 week 1Quick questions term 4 week 1
Quick questions term 4 week 1
 
Matematik soalan kertas 1
Matematik soalan kertas 1Matematik soalan kertas 1
Matematik soalan kertas 1
 
Spm.mathematical formulae
Spm.mathematical formulaeSpm.mathematical formulae
Spm.mathematical formulae
 
Notes and-formulae-mathematics
Notes and-formulae-mathematicsNotes and-formulae-mathematics
Notes and-formulae-mathematics
 
Mathematics formulas
Mathematics formulasMathematics formulas
Mathematics formulas
 
Notes and Formulae Mathematics SPM
Notes and Formulae Mathematics SPM Notes and Formulae Mathematics SPM
Notes and Formulae Mathematics SPM
 
2jam bhn per. pmr 2010
2jam bhn per. pmr 20102jam bhn per. pmr 2010
2jam bhn per. pmr 2010
 
Em04 il
Em04 ilEm04 il
Em04 il
 
1.3 solving equations t
1.3 solving equations t1.3 solving equations t
1.3 solving equations t
 
Module 4 circular functions
Module 4 circular functionsModule 4 circular functions
Module 4 circular functions
 
Engineering-mathematics-glyn-james-solutions EMERSON EDUARDO RODRIGUES
Engineering-mathematics-glyn-james-solutions EMERSON EDUARDO RODRIGUESEngineering-mathematics-glyn-james-solutions EMERSON EDUARDO RODRIGUES
Engineering-mathematics-glyn-james-solutions EMERSON EDUARDO RODRIGUES
 
N5 practice papers d f with solutions
N5 practice papers d   f with solutionsN5 practice papers d   f with solutions
N5 practice papers d f with solutions
 

Más de norainisaser

Direktori Gc Ogos 09
Direktori Gc Ogos 09Direktori Gc Ogos 09
Direktori Gc Ogos 09norainisaser
 
Trial Sbp 2007 Answer Mm 1 & 2
Trial Sbp 2007 Answer Mm 1 & 2Trial Sbp 2007 Answer Mm 1 & 2
Trial Sbp 2007 Answer Mm 1 & 2norainisaser
 
Trial Sbp 2006 Mm2
Trial Sbp 2006 Mm2Trial Sbp 2006 Mm2
Trial Sbp 2006 Mm2norainisaser
 
Trial Sbp 2006 Mm1
Trial Sbp 2006 Mm1Trial Sbp 2006 Mm1
Trial Sbp 2006 Mm1norainisaser
 
Trial Sbp05 Skema 1& 2
Trial Sbp05  Skema 1& 2Trial Sbp05  Skema 1& 2
Trial Sbp05 Skema 1& 2norainisaser
 
Trial Sbp 2006 Answer Mm 1& 2
Trial Sbp 2006 Answer Mm 1& 2Trial Sbp 2006 Answer Mm 1& 2
Trial Sbp 2006 Answer Mm 1& 2norainisaser
 
Amazing Optical Illusion
Amazing Optical IllusionAmazing Optical Illusion
Amazing Optical Illusionnorainisaser
 
Maths Answer Ppsmi2006 F4 P2
Maths Answer Ppsmi2006 F4 P2Maths Answer Ppsmi2006 F4 P2
Maths Answer Ppsmi2006 F4 P2norainisaser
 
Maths Answer Ppsmif4 2006 P1 #
Maths Answer Ppsmif4 2006 P1 #Maths Answer Ppsmif4 2006 P1 #
Maths Answer Ppsmif4 2006 P1 #norainisaser
 
Jsuppsmi Maths2006 F4
Jsuppsmi Maths2006 F4Jsuppsmi Maths2006 F4
Jsuppsmi Maths2006 F4norainisaser
 
F4 Jsu Sbp 2007 Maths
F4 Jsu Sbp 2007 MathsF4 Jsu Sbp 2007 Maths
F4 Jsu Sbp 2007 Mathsnorainisaser
 
F4 Final Sbp 2007 Maths Skema P 1 & P2
F4 Final Sbp 2007 Maths Skema P 1 & P2F4 Final Sbp 2007 Maths Skema P 1 & P2
F4 Final Sbp 2007 Maths Skema P 1 & P2norainisaser
 
F4 Final Sbp 2006 Math Skema P 1 & P 2
F4 Final Sbp 2006 Math Skema P 1 & P 2 F4 Final Sbp 2006 Math Skema P 1 & P 2
F4 Final Sbp 2006 Math Skema P 1 & P 2 norainisaser
 
F4 Answer Maths Ppsmi 2007 P2
F4 Answer Maths Ppsmi 2007 P2F4 Answer Maths Ppsmi 2007 P2
F4 Answer Maths Ppsmi 2007 P2norainisaser
 
F4 Answer Ppsmi Maths 2007 F4 P1
F4 Answer Ppsmi Maths 2007 F4 P1F4 Answer Ppsmi Maths 2007 F4 P1
F4 Answer Ppsmi Maths 2007 F4 P1norainisaser
 
Module 16 Earth As A Sphere
Module 16  Earth As A SphereModule 16  Earth As A Sphere
Module 16 Earth As A Spherenorainisaser
 

Más de norainisaser (20)

Direktori Gc Ogos 09
Direktori Gc Ogos 09Direktori Gc Ogos 09
Direktori Gc Ogos 09
 
Trial Sbp 2007 Answer Mm 1 & 2
Trial Sbp 2007 Answer Mm 1 & 2Trial Sbp 2007 Answer Mm 1 & 2
Trial Sbp 2007 Answer Mm 1 & 2
 
Trial Sbp 2006 Mm2
Trial Sbp 2006 Mm2Trial Sbp 2006 Mm2
Trial Sbp 2006 Mm2
 
Trial Sbp 2006 Mm1
Trial Sbp 2006 Mm1Trial Sbp 2006 Mm1
Trial Sbp 2006 Mm1
 
Trial Sbp05 Skema 1& 2
Trial Sbp05  Skema 1& 2Trial Sbp05  Skema 1& 2
Trial Sbp05 Skema 1& 2
 
Trial Sbp05 Mm2
Trial Sbp05 Mm2Trial Sbp05 Mm2
Trial Sbp05 Mm2
 
Trial Sbp 2006 Answer Mm 1& 2
Trial Sbp 2006 Answer Mm 1& 2Trial Sbp 2006 Answer Mm 1& 2
Trial Sbp 2006 Answer Mm 1& 2
 
Trial Sbp05 Mm1
Trial Sbp05  Mm1Trial Sbp05  Mm1
Trial Sbp05 Mm1
 
Amazing Optical Illusion
Amazing Optical IllusionAmazing Optical Illusion
Amazing Optical Illusion
 
Brainteasers
BrainteasersBrainteasers
Brainteasers
 
Triangle
TriangleTriangle
Triangle
 
Maths Answer Ppsmi2006 F4 P2
Maths Answer Ppsmi2006 F4 P2Maths Answer Ppsmi2006 F4 P2
Maths Answer Ppsmi2006 F4 P2
 
Maths Answer Ppsmif4 2006 P1 #
Maths Answer Ppsmif4 2006 P1 #Maths Answer Ppsmif4 2006 P1 #
Maths Answer Ppsmif4 2006 P1 #
 
Jsuppsmi Maths2006 F4
Jsuppsmi Maths2006 F4Jsuppsmi Maths2006 F4
Jsuppsmi Maths2006 F4
 
F4 Jsu Sbp 2007 Maths
F4 Jsu Sbp 2007 MathsF4 Jsu Sbp 2007 Maths
F4 Jsu Sbp 2007 Maths
 
F4 Final Sbp 2007 Maths Skema P 1 & P2
F4 Final Sbp 2007 Maths Skema P 1 & P2F4 Final Sbp 2007 Maths Skema P 1 & P2
F4 Final Sbp 2007 Maths Skema P 1 & P2
 
F4 Final Sbp 2006 Math Skema P 1 & P 2
F4 Final Sbp 2006 Math Skema P 1 & P 2 F4 Final Sbp 2006 Math Skema P 1 & P 2
F4 Final Sbp 2006 Math Skema P 1 & P 2
 
F4 Answer Maths Ppsmi 2007 P2
F4 Answer Maths Ppsmi 2007 P2F4 Answer Maths Ppsmi 2007 P2
F4 Answer Maths Ppsmi 2007 P2
 
F4 Answer Ppsmi Maths 2007 F4 P1
F4 Answer Ppsmi Maths 2007 F4 P1F4 Answer Ppsmi Maths 2007 F4 P1
F4 Answer Ppsmi Maths 2007 F4 P1
 
Module 16 Earth As A Sphere
Module 16  Earth As A SphereModule 16  Earth As A Sphere
Module 16 Earth As A Sphere
 

Último

NewBase 25 March 2024 Energy News issue - 1710 by Khaled Al Awadi_compress...
NewBase  25 March  2024  Energy News issue - 1710 by Khaled Al Awadi_compress...NewBase  25 March  2024  Energy News issue - 1710 by Khaled Al Awadi_compress...
NewBase 25 March 2024 Energy News issue - 1710 by Khaled Al Awadi_compress...Khaled Al Awadi
 
Borderless Access - Global Panel book-unlock 2024
Borderless Access - Global Panel book-unlock 2024Borderless Access - Global Panel book-unlock 2024
Borderless Access - Global Panel book-unlock 2024Borderless Access
 
Project Brief & Information Architecture Report
Project Brief & Information Architecture ReportProject Brief & Information Architecture Report
Project Brief & Information Architecture Reportamberjiles31
 
Fabric RFID Wristbands in Ireland for Events and Festivals
Fabric RFID Wristbands in Ireland for Events and FestivalsFabric RFID Wristbands in Ireland for Events and Festivals
Fabric RFID Wristbands in Ireland for Events and FestivalsWristbands Ireland
 
7movierulz.uk
7movierulz.uk7movierulz.uk
7movierulz.ukaroemirsr
 
PDT 88 - 4 million seed - Seed - Protecto.pdf
PDT 88 - 4 million seed - Seed - Protecto.pdfPDT 88 - 4 million seed - Seed - Protecto.pdf
PDT 88 - 4 million seed - Seed - Protecto.pdfHajeJanKamps
 
Mihir Menda - Member of Supervisory Board at RMZ
Mihir Menda - Member of Supervisory Board at RMZMihir Menda - Member of Supervisory Board at RMZ
Mihir Menda - Member of Supervisory Board at RMZKanakChauhan5
 
IIBA® Melbourne - Navigating Business Analysis - Excellence for Career Growth...
IIBA® Melbourne - Navigating Business Analysis - Excellence for Career Growth...IIBA® Melbourne - Navigating Business Analysis - Excellence for Career Growth...
IIBA® Melbourne - Navigating Business Analysis - Excellence for Career Growth...AustraliaChapterIIBA
 
Talent Management research intelligence_13 paradigm shifts_20 March 2024.pdf
Talent Management research intelligence_13 paradigm shifts_20 March 2024.pdfTalent Management research intelligence_13 paradigm shifts_20 March 2024.pdf
Talent Management research intelligence_13 paradigm shifts_20 March 2024.pdfCharles Cotter, PhD
 
Tata Kelola Bisnis perushaan yang bergerak
Tata Kelola Bisnis perushaan yang bergerakTata Kelola Bisnis perushaan yang bergerak
Tata Kelola Bisnis perushaan yang bergerakEditores1
 
AMAZON SELLER VIRTUAL ASSISTANT PRODUCT RESEARCH .pdf
AMAZON SELLER VIRTUAL ASSISTANT PRODUCT RESEARCH .pdfAMAZON SELLER VIRTUAL ASSISTANT PRODUCT RESEARCH .pdf
AMAZON SELLER VIRTUAL ASSISTANT PRODUCT RESEARCH .pdfJohnCarloValencia4
 
UNLEASHING THE POWER OF PROGRAMMATIC ADVERTISING
UNLEASHING THE POWER OF PROGRAMMATIC ADVERTISINGUNLEASHING THE POWER OF PROGRAMMATIC ADVERTISING
UNLEASHING THE POWER OF PROGRAMMATIC ADVERTISINGlokeshwarmaha
 
Cracking the ‘Business Process Outsourcing’ Code Main.pptx
Cracking the ‘Business Process Outsourcing’ Code Main.pptxCracking the ‘Business Process Outsourcing’ Code Main.pptx
Cracking the ‘Business Process Outsourcing’ Code Main.pptxWorkforce Group
 
HELENE HECKROTTE'S PROFESSIONAL PORTFOLIO.pptx
HELENE HECKROTTE'S PROFESSIONAL PORTFOLIO.pptxHELENE HECKROTTE'S PROFESSIONAL PORTFOLIO.pptx
HELENE HECKROTTE'S PROFESSIONAL PORTFOLIO.pptxHelene Heckrotte
 
Introduction to The overview of GAAP LO 1-5.pptx
Introduction to The overview of GAAP LO 1-5.pptxIntroduction to The overview of GAAP LO 1-5.pptx
Introduction to The overview of GAAP LO 1-5.pptxJemalSeid25
 
Borderless Access - Global B2B Panel book-unlock 2024
Borderless Access - Global B2B Panel book-unlock 2024Borderless Access - Global B2B Panel book-unlock 2024
Borderless Access - Global B2B Panel book-unlock 2024Borderless Access
 
Borderless Access - Global Panel book-unlock 2024
Borderless Access - Global Panel book-unlock 2024Borderless Access - Global Panel book-unlock 2024
Borderless Access - Global Panel book-unlock 2024Borderless Access
 
The End of Business as Usual: Rewire the Way You Work to Succeed in the Consu...
The End of Business as Usual: Rewire the Way You Work to Succeed in the Consu...The End of Business as Usual: Rewire the Way You Work to Succeed in the Consu...
The End of Business as Usual: Rewire the Way You Work to Succeed in the Consu...Brian Solis
 
TalentView Webinar: Empowering the Modern Workforce_ Redefininig Success from...
TalentView Webinar: Empowering the Modern Workforce_ Redefininig Success from...TalentView Webinar: Empowering the Modern Workforce_ Redefininig Success from...
TalentView Webinar: Empowering the Modern Workforce_ Redefininig Success from...TalentView
 
A flour, rice and Suji company in Jhang.
A flour, rice and Suji company in Jhang.A flour, rice and Suji company in Jhang.
A flour, rice and Suji company in Jhang.mcshagufta46
 

Último (20)

NewBase 25 March 2024 Energy News issue - 1710 by Khaled Al Awadi_compress...
NewBase  25 March  2024  Energy News issue - 1710 by Khaled Al Awadi_compress...NewBase  25 March  2024  Energy News issue - 1710 by Khaled Al Awadi_compress...
NewBase 25 March 2024 Energy News issue - 1710 by Khaled Al Awadi_compress...
 
Borderless Access - Global Panel book-unlock 2024
Borderless Access - Global Panel book-unlock 2024Borderless Access - Global Panel book-unlock 2024
Borderless Access - Global Panel book-unlock 2024
 
Project Brief & Information Architecture Report
Project Brief & Information Architecture ReportProject Brief & Information Architecture Report
Project Brief & Information Architecture Report
 
Fabric RFID Wristbands in Ireland for Events and Festivals
Fabric RFID Wristbands in Ireland for Events and FestivalsFabric RFID Wristbands in Ireland for Events and Festivals
Fabric RFID Wristbands in Ireland for Events and Festivals
 
7movierulz.uk
7movierulz.uk7movierulz.uk
7movierulz.uk
 
PDT 88 - 4 million seed - Seed - Protecto.pdf
PDT 88 - 4 million seed - Seed - Protecto.pdfPDT 88 - 4 million seed - Seed - Protecto.pdf
PDT 88 - 4 million seed - Seed - Protecto.pdf
 
Mihir Menda - Member of Supervisory Board at RMZ
Mihir Menda - Member of Supervisory Board at RMZMihir Menda - Member of Supervisory Board at RMZ
Mihir Menda - Member of Supervisory Board at RMZ
 
IIBA® Melbourne - Navigating Business Analysis - Excellence for Career Growth...
IIBA® Melbourne - Navigating Business Analysis - Excellence for Career Growth...IIBA® Melbourne - Navigating Business Analysis - Excellence for Career Growth...
IIBA® Melbourne - Navigating Business Analysis - Excellence for Career Growth...
 
Talent Management research intelligence_13 paradigm shifts_20 March 2024.pdf
Talent Management research intelligence_13 paradigm shifts_20 March 2024.pdfTalent Management research intelligence_13 paradigm shifts_20 March 2024.pdf
Talent Management research intelligence_13 paradigm shifts_20 March 2024.pdf
 
Tata Kelola Bisnis perushaan yang bergerak
Tata Kelola Bisnis perushaan yang bergerakTata Kelola Bisnis perushaan yang bergerak
Tata Kelola Bisnis perushaan yang bergerak
 
AMAZON SELLER VIRTUAL ASSISTANT PRODUCT RESEARCH .pdf
AMAZON SELLER VIRTUAL ASSISTANT PRODUCT RESEARCH .pdfAMAZON SELLER VIRTUAL ASSISTANT PRODUCT RESEARCH .pdf
AMAZON SELLER VIRTUAL ASSISTANT PRODUCT RESEARCH .pdf
 
UNLEASHING THE POWER OF PROGRAMMATIC ADVERTISING
UNLEASHING THE POWER OF PROGRAMMATIC ADVERTISINGUNLEASHING THE POWER OF PROGRAMMATIC ADVERTISING
UNLEASHING THE POWER OF PROGRAMMATIC ADVERTISING
 
Cracking the ‘Business Process Outsourcing’ Code Main.pptx
Cracking the ‘Business Process Outsourcing’ Code Main.pptxCracking the ‘Business Process Outsourcing’ Code Main.pptx
Cracking the ‘Business Process Outsourcing’ Code Main.pptx
 
HELENE HECKROTTE'S PROFESSIONAL PORTFOLIO.pptx
HELENE HECKROTTE'S PROFESSIONAL PORTFOLIO.pptxHELENE HECKROTTE'S PROFESSIONAL PORTFOLIO.pptx
HELENE HECKROTTE'S PROFESSIONAL PORTFOLIO.pptx
 
Introduction to The overview of GAAP LO 1-5.pptx
Introduction to The overview of GAAP LO 1-5.pptxIntroduction to The overview of GAAP LO 1-5.pptx
Introduction to The overview of GAAP LO 1-5.pptx
 
Borderless Access - Global B2B Panel book-unlock 2024
Borderless Access - Global B2B Panel book-unlock 2024Borderless Access - Global B2B Panel book-unlock 2024
Borderless Access - Global B2B Panel book-unlock 2024
 
Borderless Access - Global Panel book-unlock 2024
Borderless Access - Global Panel book-unlock 2024Borderless Access - Global Panel book-unlock 2024
Borderless Access - Global Panel book-unlock 2024
 
The End of Business as Usual: Rewire the Way You Work to Succeed in the Consu...
The End of Business as Usual: Rewire the Way You Work to Succeed in the Consu...The End of Business as Usual: Rewire the Way You Work to Succeed in the Consu...
The End of Business as Usual: Rewire the Way You Work to Succeed in the Consu...
 
TalentView Webinar: Empowering the Modern Workforce_ Redefininig Success from...
TalentView Webinar: Empowering the Modern Workforce_ Redefininig Success from...TalentView Webinar: Empowering the Modern Workforce_ Redefininig Success from...
TalentView Webinar: Empowering the Modern Workforce_ Redefininig Success from...
 
A flour, rice and Suji company in Jhang.
A flour, rice and Suji company in Jhang.A flour, rice and Suji company in Jhang.
A flour, rice and Suji company in Jhang.
 

F4 Maths Ppsmi 2007 P1

  • 1. ppr maths nbk 1449/1 Mathematics Paper 1 October 2007 1 1 hours 4 JABATAN PELAJARAN NEGERI NEGERI SEMBILAN DARUL KHUSUS PPSMI ASSESSMENT 2007 MATHEMATICS Form Four Paper 1 One hour and fifteen minutes Kertas 2 DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO 1. This question paper consists of 40 questions. 2. Answer all questions. 3. Each question in this paper has four suggested answers marked A , B , C and D. Choose only one answer for each question and shade the correct space on the answer sheet provided. 4. Think carefully before answering. If you wish to change your answer, erase properly and shade your new answer. This question paper has xx printed pages.
  • 2. 1449/1 2 Form Four MATHEMATICAL FORMULAE The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. RELATIONS 1 am × an = am + n 12 Pythagoras Theorem c2 = a2 + b2 2 am ÷ an = am − n 13 y2 − y1 m= x2 − x1 3 (am )n = am n 14 y − intercept m=− x − intercept 4 1 ⎛ d − b⎞ A−1 = ⎜ ⎟ ad − bc ⎜ − c a ⎟ ⎝ ⎠ 5 n( A) P ( A) = n( S ) 6 P ( A' ) = 1 − P( A) 7 Distance = ( x2 − x1 ) 2 + ( y2 − y1 ) 2 8 ⎛ x + x y + y2 ⎞ Midpoint, ( x, y ) = ⎜ 1 2 , 1 ⎟ ⎝ 2 2 ⎠ 9 distance travelled Average speed = time taken 10 sum of data Mean = number of data 11 sum of (class marks × frequency) Mean = sum of frequencies 1449/1 Form Four PPSMI/Maths/F4/P1/2007
  • 3. 1449/1 3 Form Four SHAPES AND SPACE 1 1 Area of trapezium = × sum of parallel sides × height 2 2 Circumference of circle = π d = 2 π r 3 Area of circle = π r 2 4 Curved surface area of cylinder = 2 π r h 5 Surface area of sphere = 4 π r 2 6 Volume of right prism = cross sectional area × length 7 Volume of cylinder = π r 2 h 8 1 Volume of cone = π r 2 h 3 9 4 Volume of sphere = π r 3 3 10 1 Volume of right pyramid = × base area × height 3 11 Sum of interior angles of polygon = (n −2)×180° 12 arc length angle subtended at centre = circumference of circle 360o 13 area of sector angle subtended at centre = area of circle 360o 14 PA' Scale factor, k = PA 15 Area of image = k2 × area of object 1449/1 [Turn Over PPSMI/Maths F4/P1/2007
  • 4. 1449/1 4 Form Four 1. Round off 0⋅0459 correct to two significant figures. A 0⋅04 B 0⋅045 C 0⋅046 D 0⋅05 2. Express 0⋅00205 in standard form. A 2⋅05 × 103 B 2⋅05 × 102 C 2⋅05 × 10−3 D 2⋅05 × 10−2 3. 2⋅38 × 104 − 8⋅41 × 103 = A 1⋅539 × 104 B 1⋅539 × 103 C 6⋅03 × 104 D 6⋅03 × 103 5.2 × 10 −7 4. = (4 ×10 ) −2 2 A 3⋅25 × 10−4 B 1⋅3 × 10−3 C 3⋅25 × 10−12 D 1⋅3 × 10−11 1449/1 Form Four PPSMI/Maths/F4/P1/2007
  • 5. 1449/1 5 Form Four 5. The volume of a bottle of mineral water is 512 ml. The total volume, in litres, of 6 similar bottles of mineral water, correct to three significant figures is A 3⋅07 B 30⋅7 C 307 D 3070 6. ( r − 2s )( 5r + s ) = A 5r2 − 9rs − 2s2 B 5r2 − 9rs + 2s2 C 5r2 + 11rs − 2s2 D 5r2 + 11rs + 2s2 7. 5g ( g − h ) − ( 2g − h )2 = A g2 − gh − h2 B g2 − 5gh − h2 C g2 − 5gh + h2 D g2 − 9gh + h2 8. It is given that the universal set ξ = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }, set P = { 1 , 3 , 5 , 7 } and set P ∩ Q = { 5 , 7 }. If ξ = P ∪ Q , list all the elements of set Q’. A 1,3 B 2,4,6 C 1,2,3,4,6 D 2,4,5,6,7 1449/1 [Turn Over PPSMI/Maths F4/P1/2007
  • 6. 1449/1 6 Form Four 9. Diagram 1 shows a Venn diagram which shows the number of elements of sets J , K and L. J K L 5 3 1 4 2 DIAGRAM 1 If the universal set ξ = J ∪ K ∪ L , find n( J’ ∩ L ). A 3 B 4 C 6 D 7 10. The Venn diagram in Diagram 2 shows the universal set ξ, the elements of sets P , Q and R. ξ P Q •7 R •1 •2 •8 •4 •5 •6 •3 DIAGRAM 2 State all the elements of set P’ ∩ R’. A 2,6 B 2,3,6 C 2,6,8 D 2,3,6,8 1449/1 Form Four PPSMI/Maths/F4/P1/2007
  • 7. 1449/1 7 Form Four 11. Find the y-intercept of the straight line 5x − 3y = 15. A 5 B 3 C −3 D −5 x y 12. Find the x-intercept of the straight line + = 1. 3 4 1 A 4 1 B 3 C 3 D 4 13. Diagram 3 shows the straight line PQ on a Cartesian plane. DO GRIDS without coords. y P(−3,3) x O Q(1,−5) DIAGRAM 3 Find the gradient of PQ. A −2 1 B − 2 C 1 D 2 1449/1 [Turn Over PPSMI/Maths F4/P1/2007
  • 8. 1449/1 8 Form Four 14. Diagram 4 is a bar chart which shows the score of a Mathematics quiz in class 4 Alpha Number of students 10 8 6 4 2 Score 1 2 3 4 5 DIAGRAM 4 Find the median score. A 4 B 3 C 2 D 1 15. Diagram 5 is a pictograph showing the number of books sold in January and March. The number of books sold in February are not shown. Month Number of books sold January February March represents 30 books DIAGRAM 5 The mean number of books sold for the three months is 150. Calculate the number of books sold in February. A 60 B 90 C 142 D 210 1449/1 Form Four PPSMI/Maths/F4/P1/2007
  • 9. 1449/1 9 Form Four 16. Diagram 6 is a pie chart which shows four uniform groups in a certain school. Police Cadets Red Crescent Society 150° 75° School Youth Cadets Scouts DIAGRAM 6 Calculate the ratio of the number of students in the Red Crescent Society to the number of students in the Police Cadets. A 3 : 10 B 10 : 3 C 1:5 D 5:1 17. A box contains similar white balls and green balls. A ball is picked at random from the box. 5 The probability of picking a green ball is . 9 If there are 36 balls in the box, calculate the number of white balls. A 16 B 18 C 20 D 32 1449/1 [Turn Over PPSMI/Maths F4/P1/2007
  • 10. 1449/1 10 Form Four 18. Diagram 7 shows eight numbered cards. 1 2 3 4 5 6 7 8 DIAGRAM 7 A card is picked at random. Find the probability that the number shown is a factor of 8. 1 A 8 1 B 4 3 C 8 1 D 2 19. Ameen keeps his 15 blue marbles and 7 red marbles in a box. Later Ameen adds 3 blue marbles and 5 red marbles into the same box. A marble is chosen at random from the box. Find the probability of choosing a red marble. 2 A 5 7 B 22 4 C 9 6 D 11 1449/1 Form Four PPSMI/Maths/F4/P1/2007
  • 11. 1449/1 11 Form Four 20. Diagram 8 shows some letter cards. P L E A S E B E Q U I E T DIAGRAM 8 A card is picked at random. Find the probability that a card with letter E is picked? 1 A 13 1 B 4 2 C 5 4 D 13 21. In Diagram 9, LMN is a tangent to the circle at the points M. N M O 56° P z° L 120° Q DIAGRAM 9 Find the value of z. A 28 B 38 C 68 D 72 1449/1 [Turn Over PPSMI/Maths F4/P1/2007
  • 12. 1449/1 12 Form Four 22. In Diagram 10, PQR is a tangent to the circle QTS at Q. S P x° Q 105° 65° T U R DIAGRAM 10 Find the value of x. A 30 B 40 C 50 D 60 23. In Diagram 11, EFG is a tangent to the circle at F. JOK is the diameter of the circle. HJF is a straight line. H y° O K J 30° E F G DIAGRAM 11 Find the value of y. A 105 B 120 C 135 D 150 1449/1 Form Four PPSMI/Maths/F4/P1/2007
  • 13. 1449/1 13 Form Four 24. It is given that cos y°= −0⋅8251 and 90°≤ y°≤ 270°. Find the value of y. A 124⋅40 B 145⋅60 C 214⋅40 D 235⋅60 25. In Diagram 12, O is the centre of the unit circle. y 1 P(0⋅6231,0⋅8816) −1 θ° 1 x O −1 DIAGRAM 12 The value of θ is A 28⋅16 B 38⋅54 C 51⋅46 D 61⋅83 1449/1 [Turn Over PPSMI/Maths F4/P1/2007
  • 14. 1449/1 14 Form Four 26. In Diagram 13, QRS is a straight line. P 4 y° Q R S DIAGRAM 13 4 Given that cos ∠QPR = , find the value of cos y°. 5 3 A 5 4 B 5 3 C − 5 4 D − 5 27. In Diagram 14, LMN and PQ are two vertical poles standing on a horizontal ground. L M P N Q DIAGRAM 14 The angle of elevation of peak L from peak P is A ∠LPN B ∠LQN C ∠MPL D ∠MLP 1449/1 Form Four PPSMI/Maths/F4/P1/2007
  • 15. 1449/1 15 Form Four 28. In Diagram 15, EF is a vertical flag pole. GF is horizontal. E G 20 m F DIAGRAM 15 The angle of depression of G from E is 35°. Calculate the height, in m, of the flag pole EF. A B C D 29. Diagram 16 shows a right prism with a rectangular base EFGH. The trapezium EFQP is the uniform cross section of the prism. S P R Q H E G F DIAGRAM 16 Identify the angle between the line PG and the base EFGH. A ∠PGE B ∠PGF C ∠PGH D ∠PGR 1449/1 [Turn Over PPSMI/Maths F4/P1/2007
  • 16. 1449/1 16 Form Four 30. Diagram 17 shows a right pyramid with a square base JKLM. The vertex V is vertically above M. V M J L K DIAGRAM 17 Identify the angle between the plane VKL and the base JKLM. A ∠VKM B ∠VML C ∠VLM D ∠VMK 31. In Diagram 18, PQRST are 5 consecutive vertices of a regular polygon. P Q T 30° R S DIAGRAM 18 Find the number of sides of the polygon. A 5 B 6 C 10 D 12 1449/1 Form Four PPSMI/Maths/F4/P1/2007
  • 17. 1449/1 17 Form Four 32. In Diagram 19, PQRSTU is a regular hexagon. UQV and SRV are straight lines. V n° P Q m° U R T S DIAGRAM 19 Find the value of m + n. A 108 B 120 C 144 D 180 33. Diagram 20 shows two quadrilaterals, KLMN and EFGH drawn on a square grid. E K P• N Q• S• H R• L M F G DIAGRAM 20 Quadrilateral EFGH is the image of quadrilateral KLMN under an enlargement. State the centre of enlargement. A P B Q C R D S 1449/1 [Turn Over PPSMI/Maths F4/P1/2007
  • 18. 1449/1 18 Form Four 34. Diagram 21 shows two triangles PQR and RST drawn on a square grid. P T Q S R DIAGRAM 21 The triangle RST is the image of the triangle PQR under a clockwise rotation. State the centre of rotation and the corresponding angle of rotation. Centre Angle of rotation A R 90° B T 90° C R 270° D T 270° 35. It is given that 5 − 3(2k + 1) = 2k + 4. Find the value of k. 5 A − 2 3 B − 2 1 C 5 3 D 4 1449/1 Form Four PPSMI/Maths/F4/P1/2007
  • 19. 1449/1 19 Form Four h 36. Given that h − r = , express h in terms of r. r 2r A r −1 2r B r +1 r2 C r −1 − r2 D r +1 3 5 37. Which of the following is equivalent to w ? 5 A w3 3 B w5 C (w) 3 5 D (w) 5 3 (27m n ) × n 1 3 9 3 9 38. Simplify (m n ) 1 −2 4 2 A B C D 39. List all the integers x which satisfy both the inequalities 8 − x ≤ 6 and 3(x − 6) ≤ 12 − 2x. A 2,3,4,5 B 2,3,4,5,6 C 3,4,5 D 3,4,5,6 1449/1 [Turn Over PPSMI/Maths F4/P1/2007
  • 20. 1449/1 20 Form Four 5n 40. The solution for n − 1 ≤ = 4 is 2 A n ≥ −2 B n≥2 C n ≤ −2 D n≤2 END OF QUESTION PAPER 1449/1 Form Four PPSMI/Maths/F4/P1/2007