# 4 soalan akhir pt3 sem 1 2015

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• 3

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

[100 MARKS]

1. (a) In diagram 1(a), AB and CD are straight lines. EF is a transversal. Match the correct

Diagram 1(a)

[3 marks]

(i)

po, ro Alternate

angles

(ii)

qo, so Interior

angles

(iii)

qo, ro Corresponding

angles

For

Examiners Use

F

B

s E

D

C

A

rq

p

3

• 4

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

For

Examiners Use

(b)(i)

(b)(ii)

Based on diagram 1(b)(i), identify the straight line which is parallel to CD.

Diagram 1(b)(i)

The straight line which is parallel to CD is ______________.

[1 marks]

In diagram 1(b)(ii), PQR and SQT are straight lines.

Diagram 1(b)(ii)

Find the value of x.

[2 marks]

x

110

150

R

TQ

P

S

120

10

15

45

20

SRQP

D

CBA

• 5

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

(b)(iii)

(c)

In diagram 1(b)(iii), PRT and QRS are straight lines. Find the value of x.

Diagram 1(b)(iii)

[1 mark]

A 25o

B 35o

C 43o

D 45o

In diagram 1(c), ABC, AD, DE and FG are straight lines.

Diagram 1(c)

Calculate the value of sr . [3 marks]

For

Examiners Use

G

F

ED

CBA

65

s

r

4

x

43

78

TS

R

QP

3

• 6

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

For

Examiners Use

2. (a)

(b)(i)

(b)(ii)

By using a pair of compasses, a protractor and a ruler, construct a regular hexagon with

sides of 3 cm.

[3 marks]

What is the sum of the exterior angles of a polygon.

In diagram 2(b)(ii), ABCDEF is a hexagon, GAB is a straight line.

Diagram 2(b)(ii)

Find the value of x.

[4 marks]

75

101

80

x

120

G

F

E

DC

B

A

4

3

• 7

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

(c) Diagram 2(c) is a combination of a half hexagon and a half octagon. ABCD are vertices

of a regular hexagon and DEFGH are vertices of a regular octagon. ADH is a straight line.

Diagram 2(c)

Find the value of x.

[3 marks]

For

Examiners Use

3

• 8

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

For

Examiners Use

3.(a)

In diagram 3(a), PQRS is a circumference with centre O.

Diagram 3(a)

Find:

(i) the length of RS (ii) the value of x

[3 marks]

(a)

(b)

3

• 9

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

(b)(i)

(b)(ii)

In diagram 3(b)(i), ABC is a chord of the circle with centre O. OB = 6 cm, AC= 16 cm

and AB = BC.

Diagram 3 (b)(i)

State the value of

(i) x

(ii) y

[2 marks]

(i)

(ii)

In diagram 3(b)(ii), PQRS is a circle.

Diagram 3(b)(ii)

Find the value of x.

[2 marks]

For

Examiners Use

4

• 10

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

For

Examiners Use

(c) In diagram 3(c), PQR is a straight line and PT = PQ.

Diagram 3 (c)

Find the value of x.

[3 marks]

3

• 11

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

4. (a) The pie chart in Diagram 4(a) shows the ratio of a cake which is divided among five people,

P, Q, R, S and T.

Diagram 4(a)

Given the weight of the cake is 2400g and T gets 800g of it, find the value of x, in degrees.

[3 marks]

For

Examiners Use

40

60

60

xT

S

R

Q

P

3

• 12

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

For

Examiners Use

(b)

(c)

The table shows the score obtained by a group of the students in a quiz.

Table 4(b)

(i) It is given that the modal score is 3. Find the minimum value of n.

(ii) If 3n , calculate the mean score of the quiz.

[4 marks]

(i)

(ii)

The data below shows the masses, in kg, of parcels collected in a post office on a particular

day.

2 10 9 10 4

7 16 13 8 10

(i) Based on the data above, find the mode of the parcels. (ii) Find the median of the parcels.

[3 marks]

(i)

(ii)

Score 0 1 2 3 4 5

Frequency 6 4 6 n 10 3

4

3

• 13

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

5. (a)

State whether each of the following statement is true or false.

(i) 7 x 7 x 7 x 7 x 7 x 7 = 67

(ii) 1138 zz

(iii) 030

[3 marks]

For

Examiners Use

(b)(i)

(b)(ii)

Simplify 3

2

3

2

gg

[2 marks]

Given 3221 x , calculate the value of x.

[2 marks]

3

4

• 14

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

For

Examiners Use

(c)(i)

(c)(ii)

305 kk A 3k

B 2k

C 2k

D 8k

Simplify 483

3

21812 abba

[3 marks]

3

• 15

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

6.(a) Expand each of the following :

(i) ba 25305

1

(ii) 48 yy

[3 marks]

(i)

(ii)

For

Examiners Use

(b) Factorise each of the following expression completely :

(i) 22 816 kjkj

(ii) 49

232

k

k

[4 marks]

(i)

(ii)

3

4

• 16

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

For

Examiners Use

(c) Express y

x

y

x

5

32

as a single fraction.

[3 marks]

3

• 17

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

7. (a) Determine the variables in the following situations and represent them with a suitable

letters.

[3 marks]

(i) Temperature throughout last Thursday in January in Kuala Kubu.

Answer : Variable : _______________ Letter : ________________

(ii) Decrease in the mass of an adult from 30 kg to 40kg over a period.

Answer : Variable :_________________ Letter : _______________

(iii)Number of days of emergency leave of an employee in twelve month.

Answer : Variable :_________________ Letter : _______________

For

Examiners

Use

(b)(i)

(b)(ii)

Given 2

42n

mnP . Find the value of P when m = 3, and n = 2.

[2 marks]

Given atrts2

1 . Find the value of t if s = 8, r = 5 and a = 6.

[2 marks]

3

4

• 18

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

For

Examiners Use

(c) Given 2

2 gtfm

.When f = 4, 3m and 2t , calculate the value of g.

[3 marks]

3

• 19

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

8. (a)

Diagram 8(a)

Convert the volume of water in the diagram into:

(i) ____________cm3

(ii) ____________l

(iii) ____________mm3

[3 marks]

For

Examiners Use

3

• 20

CONFIDENTIAL MM315

MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

SULIT

For

Examiners Use

(b)

Diagram 8(b)(i) Diagram 8(b)(ii)

Diagra