10 August 2011

TEST PAPER: COORDINATE, LOCUS AND CIRCLE

PART A:          Circle your choice. (Bulatkan pilihan jawapan anda)

1.         Which of the following points is NOT on the same line as the points (3, –2) and (3, 4)
            A          (3, 2)                                                                C         (3, 1)
            B          (–3, 3)                                                              D         (3, –3 )

2.         R is the midpoint of the straight line ST.  S is (– 4, 12) and R is (6, 4).  Find the coordinate            of T.
            A          (1, 8)                                                                C         (16, – 4)
            B          (6, – 4)                                                             D         (16, 8)

3.         Point J has coordinates (– 3, 2) and the length of JK is 5 units.  Which of the following       CANNOT be the coordinates of point K
            A          (– 8, 2)                                                             C         (– 3, – 3)
            B          (– 3, –7)                                                           D         (2, 2)

4.         The distance between S(– 1, 5) and T(p, 5) is 5 units.  The value of p is
            A          – 6 or 4                                                            C         – 3 or 4
            B          – 4 or 3                                                            D         – 3 or 7

5.         P(– 3, 2), Q(3, 2), R(3, – 1) and S(– 3, – 1) are the vertices of a rectangle. The length of the         diagonal of the rectangle PQRS is
            A          6 units                                                             C         5.20 units
            B          9 units                                                             D         6.71 units

6.         Find the circumference of a circle with a diameter of 3.5 cm. (Take ∏ = 22/7 )
            A          110 cm                                                            C         1.1 cm
            B          11 cm                                                              D         0.11 cm

7.         A circular pond has a circumference of 30.8 m. The diameter of the pond is (Take ∏ = 22/7 )
            A          98 m                                                                C         9.8 m
            B          96.8 m                                                             D         4.9 m

8.         The diagram shows a square PQRS with a semicircle at each end.  Find its perimeter.
            (Take  ∏ = 22/7)           
            A          44 cm                         
            B          72 cm                         
            C         86 cm
            D         100 cm
           

9.         Which of the following is the locus of P which moves such that OP = 5 cm?
              
        
 






           






10.      The diagram above shows a Cartesian plane. Find the distance between P and Q.
            A          11 units                                                           C         13 units
            B          12 units                                                           D         14 units

11.       P(2, 5), Q(6, 2), R(3, – 3) and S(– 1, 1) are the vertices of a square PQRS.  Find its          perimeter.
            A          5 units                                                             C         15 units
            B          10 units                                                           D         20 units

12.       In the diagram, O is the centre of a semicircle.  Locate the points which are both 2 cm from         the straight line KL and 3 cm from O.
                                   
            A          P and S                                                           C         P and Q
            B          Q and S                                                           D         P and R
           
13.       In the diagram, O is the centre of a circle of radius 6 cm. The circle is divided into 8 equal             sectors.  which two points represent the intersections of two loci which are 6 cm from O and          6 cm from line FOJ?
            A          E and I                                                             C         J and K
            B          F and J                                                            D         H and L

14.      The diagram above shows P, Q and R on the Cartesian plane.  The area of the triangle in            unit2 is
            A          8                                                                      C         16
            B          12                                                                    D         32

15.       In the diagram, ST is parallel to QR and 3 cm from it.  PN is an arc of a circle with centre Q.              With of the points P, R, M or N, is 5 cm from Q and 3 cm from line QR?

                                 
            A         M                                                                     C         P
            B          N                                                                     D         R

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