JABATAN PELAJARAN KEDAH DARUL AMAN

LATIH TUBIMATHEMATICS SPM( MODUL A SET 3 )

SEKTOR PENGURUSAN AKADEMIK

MODUL A SET 3

1. The diagram shows a solid consisting of a half-cylinder and a prism joined at the

plane ABSR. The base of the solid is on a horizontal plane. The horizontal plane

ABCDE is the uniform cross-section of the prism. AE = RV = 6 cm, ST = TU and

T is 2 cm from RV.

Draw to full scale,

(a) the plan of the solid, [4 marks]

(b) its elevation on a vertical plane parallel to RS as viewed from X, [4 marks]

(c) its elevation on a vertical plane parallel to RV as viewed from Y. [4 marks]

MODUL A SET 3

Q

R

SX

Y

A

B

C D

E

TU

V6 cm

4 cm

4 cm

4 cm

P

2. The marks of 40 students in an English test are as follows.

(a) Based on the above data and by using a class interval of 5, complete the following table. [3 marks]

Marks Frequency Midpoint

30 - 34

35 - 39

(b) Based on the table in (a), calculate the mean marks of the student. [3 marks]

(c) For this part of the question, use the graph paper.

By using a scale of 2 cm to 5 marks on the x- axis and 2 cm to 2 students on the y- axis, draw a frequency polygon for the data. [5 marks]

(d) State one information that can be interpreted from the frequency polygon. [1 mark ]

MODUL A SET 3

38 64 68 53 46 61 51 4640 51 42 49 59 61 47 4135 45 43 56 69 55 50 4656 49 44 55 43 45 56 5460 50 41 48 44 48 56 40

3. (a) State whether each of the following is a statement or non-statement

(i) 3k + 4 = 12

(ii) 5² + 4 = 20

(b) Write down two implications based on the following sentence

(c) Complete the following argument :

Premise 1 : All the points that lie on the x-axis have y-coordinates

which values are zero.

Premise 2 : …………………………………………………

Conclusion : Point K has y-coordinate which value is zero

[5

marks]

MODULE A SET 3

315 is a multiple of 7 if and only if 315 is divisible by 7

4. (a) Complete the table in the answer space for the equation by writing down the values of y when and .

[2 marks]

(b) For this part of the question, use the graph paper . You may use a flexible curve rule.

By using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis, draw the graph of for [4 marks] (c) From your graph, find

(i) the value of y when , (ii) the values of x when [2 marks]

(d) Draw a suitable straight line on your graph to find a value of x which satisfies the equation for State this value of x .

[4 marks]

Answer:

(a)

x 2 3 4 4.5 5

y 13 – 3 3 19.5 27

(b) Refer to the graph.

(c) (i) y = …………………………………. (ii) x = ………………… , …………………..

(d) x = ………………………..

MODULE A SET 3

5. Calculate the value of and of that satisfy the following simultaneous linear equations.

[4 marks]

MODULE A SET 3

6. (a) It is given that is the inverse matrix of

Find the value of .

(b) Write the following simultaneous linear equations as matrix equation.

Hence, using matrices, calculate the value of and of [6 marks]