review exercise 20 (subjective)

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  • 8/18/2019 Review Exercise 20 (Subjective)

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     Review Exercise 20

     Subjective Questions

    1.

    In the diagram, AB and CD are number lines

    that intersect at point O. Name

    (a) the number line AB,

    (b) the number line CD,(c) the point O.

    2. Complete the table below.

    3. On a single diagram, plot the following points.

     H (6, 2), I (3, ), J (!2, 3), K (!6, 6), L(!, !2), M (", !3), N (#, ")

     © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR

    $oint

    %istance from the

     x&a'is  y&a'is

    (3, 6)  

    (!, 2) 

    (!", ) 

    (!6, !) 

    1

    A

  • 8/18/2019 Review Exercise 20 (Subjective)

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     Review Exercise 20

    4. *ased on the diagram, state the coordinates

    of the points A, B, C, D, E, F, G and H .

    5. +tate the coordinates of the points P , Q, R and S  in each of the following diagrams.

    (a) (b)

     

    6. *ased on the diagram, find the distance

    (a)  AB, (b) CD,

    (c)  EF , (d)  FG,

    (e) GH.

     © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR2

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     Review Exercise 20

    7. * using $thagoras- theorem, calculate the distance between point P  and point Q.

    (a) (b)

     (c) (d)

     

    8.

    In the diagram, A, B, C, D, E, F, G and H  are

    eight points on a Cartesian plane. Calculate

    the distance between

    (a) A and B,

    (b) C   and D,

    (c)  E  and F,

    (d) G and H .

     © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR3

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     Review Exercise 20

    9.

    In the diagram, HIJK  is a trapeium.

    %etermine the length of 

    (a) HI  ,

    (b)  IJ ,

    (c)  JK ,

    (d)  HK .

    10.

    /he diagram shows four straight lines. +tate

    the coordinates of the midpoint of 

    (a)  AB,

    (b) CD,

    (c)  EF ,

    (d) GH.

     © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR4

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  • 8/18/2019 Review Exercise 20 (Subjective)

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     Review Exercise 20

    13.

    *ased on the diagram, find the coordinatesof the midpoint of the straight line 0oining

     points

    (a)  H  and K ,

    (b)  M and N ,

    (c)  P and Q,

    (d)  R and S.

    14.

     

    /he diagram shows si' points A, B, C , D, E  

    and F . ind the coordinates of the midpoint

    of the straight lines 0oining

    (a)  A and B,

    (b) B and C ,

    (c)  D and E ,(") E   and F.

     © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR6

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     Review Exercise 20

    15.

    *ased on the diagram, find the coordinates

    of the midpoint of the straight line 0oining

    (a) P   and Q,(b) R and S ,

    (c) Q and  ,

    (") T   and U ,

    (#)   and ! ,

    ($) R and !.

    16. Calculate the coordinates of the midpoint of the straight line 0oining points

    (a) (2, 3) and (6, ), (b) (", ) and (, !2),

    (c) (, !3) and (!4, !), (d) (!", ) and (!"", !"#),

    (e) (4, !2) and (!", 6), (f) (!", !) and (, !3).

    17.

    In the diagram, Q is the midpoint of EM . Calculate(a) the coordinates of the point Q,

    (b) the distance between point P  and point Q.

     © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR7

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     Review Exercise 20

    18.

    In the diagram, FPS  is a triangle such that

     PF  5 PS . Calculate

    (a) the alue of % ,

    (b) the length of PF .

    (c)

    In the diagram, the x&coordinate of the

    midpoint of PQ is 2. %etermine(a) the alue of &,

    (b) the distance PS .

    19.

    In the diagram, the midpoint of EF  lies on

    the x&a'is. Calculate

    (a) the alue of ' ,

    (b) the distance between point E  and point N .

     © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR8