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1 of 5
11        x + =
                                                                             3 9
                                                                                     , the value of x is
1    Which of the following number is ‘three hundred
     twenty thousand six hundred and fifty three ?                   A.     6                                C. – 7
                                                                     B.     7                                D. – 6
     A.     32653                       C.    326530
     B.     320653                      D.    3200653           12
                                                                          w
                                                                            =
                                                                              2
                                                                                     , the value of w is
                                                                          5 10
2    The place value of digit 2 in the number 826357 is
                                                                                                                          1
     A.     hundred                     C.   ten thousand            A.         1                            C.           2

     B.     thousand                    D.   hundred thousand                    5
                                                                     B.         10
                                                                                                             D.           0



3         −+ =
           9 12




     A.          −3
                                        C.        4             13   The ratio of the number of red marbles to the number of
     B.      3
                                        D.            21
                                                                     white marbles is 5 : 7. The total number of the
                                                                     marbles is 288. Calculate the difference between the
                                                                     number of white and red marbles.
4         − − =
           4 4


                                                                     A.     24                               C.       120
     A.      8
                                        C.        0


     B.      1                          D.            −8


                                                                     B.     48                               D.       168
5         2 − 3)+ 4 )
             (−  (−

                                                                14   Given that x : y = 2 : 7, calculate the value of x if
     A.      1                          C.        9
                                                                     y = 28.
     B.      −5
                                        D.        3

                                                                     A.     2                                C.       8
6         − − 6 )− 4 )
           9 (−   (+



                                                                     B.     4                                D.       9
     A.      7
                                        C.            −11


     B.      1                          D.            −7
                                                                15   The diagram shows a trapezium.

7         − × 4)
           2 (−

                                                                                       5 cm
                                                                                                                  4 cm
     A.      7
                                        C.        −8


     B.      8
                                        D.            −7
                                                                                                 11 cm

8      5 −×
          3 4
                                                                     Calculate the area, in cm2, of the trapezium.
     A.          − 28
                                        C.        7
                                                                     A.     28                               C.       38
     B.      −7
                                        D.            28

                                                                     B.     32                               D.       44
9    The diagram shows a sequence of numbers.
                                                                16   In the diagram, PSR is a straight line.
                        4, 8, 12, 16, y, 24, 28
                                                                                                         0.9 m    P
     The value of y is                                                                   R       S
     A.     19                          C.    21
                                                                                                             1.5 m
     B.     20                          D.    22                                         1.3 m
                                                                                                     Q

10   The diagram is part of a number line.                           Find the length, in m, of PR.
                                                                     A.     1.2                              C.       1.7
      K           −8               0                        L
                                                                     B.     1.4                              D.       1.8
     What is the value of K and of L ?
     A.     K = −4, L = 12              C. K = −10, L = 8
     B.     K = −9, L = 6               D. K = −12, L = 12


                                                                                                                              1
17   In the diagram, SQR and PQT are right angled                    21   The diagram shows two points,                                       G and H,             on a
     triangles. PQR and SQT are straight lines. The length                Cartesian plane.
     of QR is twice the length of PQ.
                                                                                                   y
                                 S                                                             6
                                                25 cm                                                       G
                        7 cm
                            Q                                                                  4
                P
                                         5 cm                R                                 2
                                                                                                                H
                                T                                                                                                             x
                                                                                               O        2       4           6       8
     Calculate the length, in cm, of PT.
                                                                          Calculate the distance between the point G and the
     A.   12                                    C.       17
                                                                          point H.
     B.   13                                    D.       24
                                                                          A.       8
                                                                                           units                                C.                52
                                                                                                                                                           units
18   The diagram shows four points on a Cartesian plane.
                                                                          B.       20
                                                                                               units                            B.                72
                                                                                                                                                           units
                                     y
                                4
                    A                        B                       22   In the diagram, P and Q are points on a Cartesian
                                2
                                                                          plane.
                                                          x
                 −4     −2 O                2        4                                                                  y
                                −2                                                     P                            8
                        D                    C
                                −4                                                                                  6

     Which of the point A, B, C and D represents                                                                    4
     (−3, 2) ?
                                                                                                                    2
19   The diagram shows points marked on a grid of equal                                                                                                      x
     squares with sides of 1 unit.                                             −8 −6               −4 −2 O                      2       4         6
                                                                                                        −2
                    C                                                                                                                   Q
                                                     B
                                                                          If M is the midpoint of PQ, then the coordinates of M
                                                                          is
                                 P
                                                         A                A.   (−2, 4)                                          C.          (3, −1)

                    D
                                                                          B.   (−1, 3)                                          D.          (4, −2)
     Which of the point A, B, C or D, is 5 units from the
     point P ?

20   In the diagram, L is the midpoint of the straight line
     KM.                                                             23   In the diagram, Q is the midpoint of the straight line
                                                                          PR.
                            y
           K (−2, 10)                                                                      y

                                         L (2, 3)                                                                    R (h, 9)
                                                                 x                                            Q (5, 7)
                        O                                                                              P (2, 5)
                                                 M (h, −4)                                                                                             x
                                                                                   O
     Find the value of h.
                                                                          The value of h is
     A.   4                                     C.       7
                                                                          A.   7                                                C.      10
     B.   6                                     D.       8
                                                                          B.   8                                                D.      12


                                                                                                                                                                     2
24   The diagram shows two squares, PQTU and QRST, of          27   The diagram shows a circle with centre O.
     the same size. UQS is a semicircle with centre T and
                                                                                                      M
     PQR is a straight line.
                                                                                          210°
                      P           Q        R
                                                                                                  O


                                                                                                  N
                     U            T        S
                                                                                                           1
     X is the locus of a point which moves such that its            The radius of the circle is       10       cm. Calculate the
                                                                                                           2
     distance from T is always constant. Y is the locus of a
     point which moves such that its perpendicular distance         length, in cm, of the minor arc MN.                 (Use π =
     line PQR is always constant. Which of the following              22
     points are the intersection of locus X and locus Y ?             7
                                                                           )

     A.   Q and S                         C.   U and S
                                                                               55                                1155
     B.   U and Q                         D.   P and R              A.          2
                                                                                                          C.       8


                                                                               77                                1617
25   In the diagram, PQRS is a square, PQRT is a quadrant           B.                                    D.       8
                                                                                2
     of a circle with centre Q and PSRV is a quadrant of a
     circle with centre S.
                                                               28   In the diagram, POR is the diameter of circle PQR.
                     S                     R
                              T                                                              Q
                               A
                              B D
                               C V                                                           O
                                                                                     P                     R
                     P                     Q
                              5 cm

     X is the locus of a point which moves such that its            Given that PQ = QR and PR = 14 cm. Calculate the
     distance from Q is always 5 cm. Y is the locus of a                                                                       22
                                                                    area, in cm2, of the shaded region.           (Use π =          )
     point which moves such that its distance from PS and                                                                       7
     RS is always constant. Which of the point A, B, C or
     D, is the intersection of locus X and locus Y ?                A.     56                             C.   105
                                                                    B.     93                             D.   142
26   The diagram shows a square JKLM.
                          J           K




                          M           L                        29   The diagram shows a circle with centre O. The length
                                                                    of the minor arc PQ is 3.3 cm.
     JL is the locus of a moving point X in JKLM. Which
     statement describe JL correctly ?                                                       P

     A.   Locus of X which is constant from point K                                        42°        3.3 cm
                                                                                      O
     B.   Locus of X which is equidistant from JK and                                            Q
          JM
                                                                    Calculate the radius, in cm, of the circle.             (Use π =
     C.   Locus of X which has a constant distance from
                                                                      22
          KL                                                           7
                                                                           )

     D.   Locus of X which is equidistant from point J
                                                                    A.     2.42                           C.   14.85
          and point M.
                                                                    B.     4.50                           D.   29.70

                                                                                                                                        3
30   The diagram shows a circle with centre O.

                                                                B.                            D.
                        O   45°    14 cm



     Calculate the area, in cm2, of the shaded region.     34   The diagram shows a right prism with right angled
                   22                                           triangle PQR as it uniform cross section.
     [ Use π =     7
                        ]
                                                                                        P 5 cm
                                                                                               R
     A.   105                      C. 539
     B.   116                      D. 616                                       10 cm
                                                                                         Q 3 cm

31   The diagram shows a closed cylindrical container.
                                                                Calculate the total surface area, in cm2, of the prism.
                                                                A.   150                           C.      132
     Which of the following is a net for the container?         B.   135                          D.      119
     A.                                C.
                                                           35   Which of the following geometric solid is a prism ?
                                                                A.                            C.



     B.                                D.
                                                                B.                            D.

32   The diagram shows a prism.

                                                           36   The diagram shows a solid cuboid with a square base
                                                                FGHJ.


     Which of the following is a net for the prism ?
                                                                                          J       10 cm
     A.                           C.                                            F

                                                                                     G        H

                                                                The area of FGHJ is 49 cm 2. Find the total surface
                                                                area, in cm2, of the cuboid.
     B.                           D.
                                                                A.   438                          C. 378
                                                                B.   420                          D. 294

33   The diagram shows a prism. The cross section of the
     prism has a shape of a regular hexagon.               37   The diagram shows the net of a geometric solid.




     Which of the following is a net for the prism ?
     A.                           C.                            Name the geometric solid.
                                                                A.   Cube                         C.      Prism

                                                                                                                          4
B.     Cuboid                      D.   Pyramid




                                                               40   The diagram is a pictogram showing the number of
38   The diagram ia a bar chart which shows the number              students with birthdays from July until December.
     pupils in SMK Kanibongan who scored grade A in all
     the subjects taken in the PMR examination for three                      July
     consecutive years.                                                    August
       Number of pupils                                                  September
          18                                                               October
          16                                                             November
          14
          12
          10                                                              December
                                                                    The total number of students is 120. Calculate the
           8
                                                                    number of students with birthday after September.
           6
           4                                                        A.   20                     C.   65
           2                                                        B.   55                     D.   85
           0                                           Year
                 2001          2002   2003
                              Girls          Boys

     Calculate the difference between the total number of
     boys and the total number of girls over the three years
     A.      2                          C.    6
     B.     4                           D.    10

39   The diagram is a bar chart showing the number of new
     vehicles registered over four days.

     Number of new vehicles




                                                         Day
             Monday     Tuesday Wednesday Thursday

     The total number of new vehicles registered on
     Wednesday and Thursday is 56. Calculate the total
     number of new vehicles registered on Monday and
     Tuesday.
     A.     52                          C. 64
     B.     60                          D. 68




                                                                                                                         5

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Math final 2012 form2 paper1

  • 1. 11 x + = 3 9 , the value of x is 1 Which of the following number is ‘three hundred twenty thousand six hundred and fifty three ? A. 6 C. – 7 B. 7 D. – 6 A. 32653 C. 326530 B. 320653 D. 3200653 12 w = 2 , the value of w is 5 10 2 The place value of digit 2 in the number 826357 is 1 A. hundred C. ten thousand A. 1 C. 2 B. thousand D. hundred thousand 5 B. 10 D. 0 3 −+ = 9 12 A. −3 C. 4 13 The ratio of the number of red marbles to the number of B. 3 D. 21 white marbles is 5 : 7. The total number of the marbles is 288. Calculate the difference between the number of white and red marbles. 4 − − = 4 4 A. 24 C. 120 A. 8 C. 0 B. 1 D. −8 B. 48 D. 168 5 2 − 3)+ 4 ) (− (− 14 Given that x : y = 2 : 7, calculate the value of x if A. 1 C. 9 y = 28. B. −5 D. 3 A. 2 C. 8 6 − − 6 )− 4 ) 9 (− (+ B. 4 D. 9 A. 7 C. −11 B. 1 D. −7 15 The diagram shows a trapezium. 7 − × 4) 2 (− 5 cm 4 cm A. 7 C. −8 B. 8 D. −7 11 cm 8 5 −× 3 4 Calculate the area, in cm2, of the trapezium. A. − 28 C. 7 A. 28 C. 38 B. −7 D. 28 B. 32 D. 44 9 The diagram shows a sequence of numbers. 16 In the diagram, PSR is a straight line. 4, 8, 12, 16, y, 24, 28 0.9 m P The value of y is R S A. 19 C. 21 1.5 m B. 20 D. 22 1.3 m Q 10 The diagram is part of a number line. Find the length, in m, of PR. A. 1.2 C. 1.7 K −8 0 L B. 1.4 D. 1.8 What is the value of K and of L ? A. K = −4, L = 12 C. K = −10, L = 8 B. K = −9, L = 6 D. K = −12, L = 12 1
  • 2. 17 In the diagram, SQR and PQT are right angled 21 The diagram shows two points, G and H, on a triangles. PQR and SQT are straight lines. The length Cartesian plane. of QR is twice the length of PQ. y S 6 25 cm G 7 cm Q 4 P 5 cm R 2 H T x O 2 4 6 8 Calculate the length, in cm, of PT. Calculate the distance between the point G and the A. 12 C. 17 point H. B. 13 D. 24 A. 8 units C. 52 units 18 The diagram shows four points on a Cartesian plane. B. 20 units B. 72 units y 4 A B 22 In the diagram, P and Q are points on a Cartesian 2 plane. x −4 −2 O 2 4 y −2 P 8 D C −4 6 Which of the point A, B, C and D represents 4 (−3, 2) ? 2 19 The diagram shows points marked on a grid of equal x squares with sides of 1 unit. −8 −6 −4 −2 O 2 4 6 −2 C Q B If M is the midpoint of PQ, then the coordinates of M is P A A. (−2, 4) C. (3, −1) D B. (−1, 3) D. (4, −2) Which of the point A, B, C or D, is 5 units from the point P ? 20 In the diagram, L is the midpoint of the straight line KM. 23 In the diagram, Q is the midpoint of the straight line PR. y K (−2, 10) y L (2, 3) R (h, 9) x Q (5, 7) O P (2, 5) M (h, −4) x O Find the value of h. The value of h is A. 4 C. 7 A. 7 C. 10 B. 6 D. 8 B. 8 D. 12 2
  • 3. 24 The diagram shows two squares, PQTU and QRST, of 27 The diagram shows a circle with centre O. the same size. UQS is a semicircle with centre T and M PQR is a straight line. 210° P Q R O N U T S 1 X is the locus of a point which moves such that its The radius of the circle is 10 cm. Calculate the 2 distance from T is always constant. Y is the locus of a point which moves such that its perpendicular distance length, in cm, of the minor arc MN. (Use π = line PQR is always constant. Which of the following 22 points are the intersection of locus X and locus Y ? 7 ) A. Q and S C. U and S 55 1155 B. U and Q D. P and R A. 2 C. 8 77 1617 25 In the diagram, PQRS is a square, PQRT is a quadrant B. D. 8 2 of a circle with centre Q and PSRV is a quadrant of a circle with centre S. 28 In the diagram, POR is the diameter of circle PQR. S R T Q A B D C V O P R P Q 5 cm X is the locus of a point which moves such that its Given that PQ = QR and PR = 14 cm. Calculate the distance from Q is always 5 cm. Y is the locus of a 22 area, in cm2, of the shaded region. (Use π = ) point which moves such that its distance from PS and 7 RS is always constant. Which of the point A, B, C or D, is the intersection of locus X and locus Y ? A. 56 C. 105 B. 93 D. 142 26 The diagram shows a square JKLM. J K M L 29 The diagram shows a circle with centre O. The length of the minor arc PQ is 3.3 cm. JL is the locus of a moving point X in JKLM. Which statement describe JL correctly ? P A. Locus of X which is constant from point K 42° 3.3 cm O B. Locus of X which is equidistant from JK and Q JM Calculate the radius, in cm, of the circle. (Use π = C. Locus of X which has a constant distance from 22 KL 7 ) D. Locus of X which is equidistant from point J A. 2.42 C. 14.85 and point M. B. 4.50 D. 29.70 3
  • 4. 30 The diagram shows a circle with centre O. B. D. O 45° 14 cm Calculate the area, in cm2, of the shaded region. 34 The diagram shows a right prism with right angled 22 triangle PQR as it uniform cross section. [ Use π = 7 ] P 5 cm R A. 105 C. 539 B. 116 D. 616 10 cm Q 3 cm 31 The diagram shows a closed cylindrical container. Calculate the total surface area, in cm2, of the prism. A. 150 C. 132 Which of the following is a net for the container? B. 135 D. 119 A. C. 35 Which of the following geometric solid is a prism ? A. C. B. D. B. D. 32 The diagram shows a prism. 36 The diagram shows a solid cuboid with a square base FGHJ. Which of the following is a net for the prism ? J 10 cm A. C. F G H The area of FGHJ is 49 cm 2. Find the total surface area, in cm2, of the cuboid. B. D. A. 438 C. 378 B. 420 D. 294 33 The diagram shows a prism. The cross section of the prism has a shape of a regular hexagon. 37 The diagram shows the net of a geometric solid. Which of the following is a net for the prism ? A. C. Name the geometric solid. A. Cube C. Prism 4
  • 5. B. Cuboid D. Pyramid 40 The diagram is a pictogram showing the number of 38 The diagram ia a bar chart which shows the number students with birthdays from July until December. pupils in SMK Kanibongan who scored grade A in all the subjects taken in the PMR examination for three July consecutive years. August Number of pupils September 18 October 16 November 14 12 10 December The total number of students is 120. Calculate the 8 number of students with birthday after September. 6 4 A. 20 C. 65 2 B. 55 D. 85 0 Year 2001 2002 2003 Girls Boys Calculate the difference between the total number of boys and the total number of girls over the three years A. 2 C. 6 B. 4 D. 10 39 The diagram is a bar chart showing the number of new vehicles registered over four days. Number of new vehicles Day Monday Tuesday Wednesday Thursday The total number of new vehicles registered on Wednesday and Thursday is 56. Calculate the total number of new vehicles registered on Monday and Tuesday. A. 52 C. 64 B. 60 D. 68 5