SMK CHUNG HUA, SIBU2nd Mid-Term Test 2006ADDITIONAL MATHS

CLASS: 4C & 4D

Period : hrsSection A (40%)Answer all the questions. Write your answers clearly in the spaces provided in the question paper. Show your working, it may help you to get marks.

Paper 11. On the axes in the answer space, sketch the graph of the function for the domain

. [4]

2. Show that the straight line intersects the curve at two different points if . [3]

3. Find the range of the values of h if is always negative. [3]

4. Given , find the value of . Hence, find the value of if . [5]

5. The point N(8,7) internally divides the line segment that connects the point A(5,-5) and B in the ratio 3:2. Find the coordinates of point B. [3]

6. The points , Q(3,4) and R(-1,5) are the vertices of a . If the area of is 2.5 . Find the value of t. [3]

7. Find the equation of the perpendicular bisector of the line segment that connects the points P(-1,2) and Q(3,8). [3]

Score 0 1 2 3 4Frequency 7 10 x 15 8

8. The table shows the score distribution obtained by a group of pupils in a quiz. If the median is 2, find the smallest value of x. [3]

9. The mean and standard deviation for the numbers are 6.5 and 1.5 respectively. Find the

(a) mean for the numbers .(b) Standard deviation for the numbers : . [4]

10. Find the interquartile range of the set of data 19, 7, 13, 10, 14, 8, 15, 12, 17. [2]

11. The following data shows the number of pins knocked down by two players in a preliminary round of bowling competition.Player A: 6, 8, 9, 6, 6, 7Player B: 6, 7, 5, 9, 9, 6Using the mean and the standard deviation, determine the better player to represent the state based on their consistency. [3]

12. The diagram shows two sectors OAB and OCD of two concentric circle with centre O. Given rad., OC = 4AO and ratio of the length of arc AB to the length of arc CD is 3:5, calculate

, in degree. [4]

Section B (50%)Answer all the questions. Write your answers clearly in your own writing paper. Show your working, it may help you to get marks. Please stapler all the answer sheets and pass on with the question paper.

13. A function f is defined by for all values of x except x = h, where k is a constant.

(a) State the value of h. [1](b) Given that 1 is mapped onto itself under f, find

(i) the value of k,(ii) another value of x that is mapped onto itself,(iii) the value of [7]

14. The roots of the quadratic equation are and . If and , find

the value of k and of m. [6]

15. The diagram shows a triangle PQR with an area of .(a) show that [3](b) solve the equation in (a) and give the answers correct to 4 significant figures. [2](c) Hence, calculate the length of PQ. [1]

16. (a) Solve the equation [3](b) If , express c in terms of a and b. [4](c) The value of a house after n years is given by . Calculate the minimum number of years for the value of the house to exceed RM 180000 for the first time. [3]

17. In the diagram, the equation of BNC is y= -5. A point P moves such that its distance from A is always

the distances of A from the straight line BC. Find (a) the equation of the locus of P.(b) The x-coordinate of the point of intersection of the locus and the x-axis. [5]

18. Set A is a set that consists of 10 numbers. The sum of these numbers is 160 whereas the sum of the square of these numbers is 2990.

(a) Find the mean and variance of the numbers in set A.(b) If another number is added to the 10 numbers in set A, the mean does not change. Find the

standard deviation of these 11 numbers. [5]

19. The diagram shows semicircle ABCDE with centre P and rhombus PBQD. Calculate (a) the radius of semicircle ABCDE, [1](b) The angle in radians, [3](c) The area of sector PBCD, [2](d) The area of the shaded region. [4]

End of Paper Prepared by JLYC ~~ 2nd term test ‘ 06