## 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