7/31/2019 Revision W32Tueo

1/2

1

1ckgubiidclass

Revision AMF4(St Joseph) W31, Tue, KYRHG

1. Given the point )3,2(P divides the line segment ),4( tA and )8,(rB in the ratio4:1: PBAP . Find the value ofrand oft.

2. The points )3,4(),3,0( tLK and )1,2(M are the vertices of a triangle KLM.If the area of the triangle KLMis 10 unit

2, find the values ofk.

3. In the diagram, point P lies on the straight lineAB such thatBP : PA = 2 : 3.

Calculate the area of the triangle OPA.

4. If the straight line 0745 xy is parallel to the straight line 78 hyx , find the valueofh.

5. It is given that the straight line 0632

ym

xis perpendicular to the straight line

01569 yx , find the value ofm.

6. The diagram shows a straight line passing through points M(4, 0) andN(0, 12).

(a) Write down the equation of the straight lineMNin intercept-form.(b) A point ),( yxT moves such that TM= TN.

Find the equation of the locus of point T.

y

x)0,5(B

)10,0( B

P

O

Name:

y

O

x

M

N

7/31/2019 Revision W32Tueo

2/2

2

2ckgubiidclass

7. A set of positive integers consists of 1, 10 and k. Given the variance for this set of integers is74, find the value ofk.

8. A set of 5 numbers has a mean of 15.(a) Find x .(b) When a number m is taken away from this set of numbers, the new mean is 14. Find m.

9. A set of data consists of 10 numbers. The sum of the numbers is 150 and the sum of thesquares of the numbers is 2550. Find

(a) the mean,(b) the standard deviation.

10. Table below shows the marks obtained by a group of students in a class.Marks Number of students

25 39 10

40 54 15

55 69 k

70 84 16

85 99 6

(a) Given the median mark of the student is26

760 , find the value ofk.

(b) Calculate the standard deviation of the distribution.(c) If each mark of the students in the class is multiplied by 2 and then subtracted by 3,

find the standard deviation for the new set of marks.

11. Table below shows the frequency distribution of the age of tourists who visited NationalMuseum.

Age Frequency

5 9 3

10 14 6

15 19 8

20 24 15

25 29 m

30 34 1

(a) It is given that the first quartile age of the distribution is 15.125. Calculate m.(b) Bu using a scale of 1 cm to 5 units on the x-axis and 1 cm to 2 units on the y-axis,

draw the histogram