2SULIT

UNIT PEPERIKSAAN

SEKOLAH MENENGAH KEBANGSAAN MALIM

PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 2014 3472/1

Dua jamJANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.

Rumus-rumus berikut boleh digunakan untuk membantu anda menjawab soalan. . Simbol-simbol yang diberi adalah yang biasa digunakan.

ALGEBRA

1

2 am an = a m + n3 am an = a m - n 4 (am) n = a nm5 loga mn = log am + loga n

6 loga = log am - loga n7 log a mn = n log a m8 logab =

9 Tn = a + (n -1)d10 Sn =

11 Tn = ar n-112 Sn = , (r 1)

13 , x 20. Cari julat bagi nilai x apabila x (x 8) > x 20

[3 marks] [3 markah] Answer/ Jawapan:

6 Diagram 6 shows the graph of the quadratic function y = f(x). The straight line

y = 14 is a tangent to the curve y = f(x).

Rajah 6 menunjukkan fungsi kuadratik y = f(x). Garis lurus y = 14 ialah tangen

kepada lengkung y = f(x).

Diagram 6Rajah 6

(a) State the equation of the axis of symmetry of the curve.

Nyatakan persamaan paksi simetri bagi lengkung itu.

(b) Express f(x) in the form of (x + p)2 + q, where p and q are constants.

Ungkapkan f(x) dalam bentuk (x + p)2 + q, di mana p dan q adalah pemalar.

[3 marks]

[3 markah] Answer / Jawapan :

(a)

(b)

7 Solve the equation .

Selesaikan persamaan

[3 marks] [3 markah] Answer /Jawapan :

8 Solve the equation

Selesaikan persamaan

[4 marks]

[4 markah]

Answer/ Jawapan :

9 The first three terms of an arithmetic progression are 3, 8, 13.

Tiga sebutan pertama bagi janjang aritmetik ialah 3, 8, 13.

Find

Cari (a) the common difference of the progression,

beza sepunya janjang ini

(b) the sum of the immediate 12 terms after the 8th term.

hasil tambah bagi 12 sebutan yang seterusnya selepas sebutan ke-8.

[4 marks]

[4 markah]

Answer/ Jawapan :

(a)

(b)

10 Express the recurring decimals 0.121212 as a fraction in its simplest form. Ungkapan pecahan berulang 0.121212. sebagai satu pecahan dalam bentuk termudah.

[3 marks]

[3 markah]

Answer/ Jawapan :

11 The straight line 8x + 4hy 6 = 0 is perpendicular to the straight line 3x + y = 16.

Find the value of h.

Garis lurus 8x + 4hy 6 = 0 adalah berserenjang dengan garis lurus 3x + y = 16.

Cari nilai h.

[3 marks]

[3 markah]

Answer/Jawapan :

12 P(2m,3n), Q(m, n ) and R(6, 2) lies on a straight line. Q divides PR in the ratio 3 : 2.

Find the value of m and n.

P(2m,3n), Q(m, n ) dan R(6, 2) berada di atas garis lurus. Q membahagi PR dengan nisbah 3 : 2 .

Cari nilai m dan n. [3 marks]

[3 markah] Answer/ Jawapan :

13 Diagram 13 shows a parallelogram PQRS and the point T lies on the straight line QS.

Rajah 13 menunjukkan sebuah seg iempat selari PQRS dan titik T terletak pada garis lurus QS.

Diagram 13Rajah 13 Given that , and ST = TQ. Express in terms of and

Diberi , , dan ST = TQ. Ungkapkan dalam sebutan dan . (a) QSADVANCE \u 6 \l 11 ADVANCE \d 6 (b) TRADVANCE \u 6 \l 11 ADVANCE \d 6

[3 marks]

[3 markah]

Answer / Jawapan:

(a) (b)

14 Diagram 14 shows two vectors and on a Cartesian plane.

Rajah 14 menunjukkan dua vektor dan pada satah Cartesan.

(a) State in the form of . Nyatakan dalam bentuk . (b) Express in the form of

Ungkapkan dalam bentuk

[2 marks]

[2 markah]Answer/ Jawapan :

(a)

(b)

15 The variables x and y are related by the equation . Diagram 15 shows a straight line graph obtained by plotting against x .

Pembolehubah x dan y dihubungkan oleh persamaan. Rajah 15 menunjukkan graf garis lurus yang diperoleh dengan memplot melawant x .

Find the value of p and of k..

Cari nilai p dan nilai k.

[3 marks]

[3 markah]

Answer/Jawapan :

16 It is given that , where .

Diberi bahawa , dengan keadaan . Find the value of cari nilai bagi

(a) kot x.

(b) cosec x kosek x

[3 marks]

[3 markah]

Answer/ Jawapan :

17Solve the equation for

Selesaikan persamaan bagi

[4 marks]

[4 markah]

Answer/Jawapan:

18 Diagram 18 shows a semicircle OABC. The length of the arc BC is 3 cm. Rajah 18 menunjukkan sebuah semi bulatan OABC. Panjang lengkok BC

ialah 3 cm.

Diagram 18Rajah 18 Find

Cari [Use/ Guna = 3.412]

(a) the length, in cm, of the radius of the semicircle.panjang, dalam cm, jejari semi bulatan itu

(b) the area, in cm2 , of sector AOBluas, dalam cm2 , sector AOB [4 marks]

[4 markah]

Answer/ Jawapan :

(a)

(b)

19 Two variables, x and y are related by the equation . Given that y

increases with a rate of 3 units per second, calculate the rate of change of x when x = 2 cm

Dua pembolehubah , x dan y, dihubungkan oleh persamaan . Diberi bahawa y menokok dengan kadar 3 unit sesaat, hitung kadar perubahan x apabila x = 2 cm.

[3 marks]

[3 markah]

Answer/ Jawapan :

20 Given , where m and c are constants. Find

Diberi , di mana m dan c ialah pemalar. Cari

(a) the value of m

nilai bagi m (b) the value of c if when x = 2.

nilai bagi c jika apabila x = 2.

[ 3 marks]

[3 markah]

Answer/ Jawapan :

(a)

(b)

21. Given that and , find the value of

.

Diberi bahawa dan , cari nilai bagi . [ 3 marks]

[3 markah] Answer/ Jawapan :

22 A set of data consists of 5 numbers. The sum of the numbers is 59 and the sum

of squares of the numbers is 747. Calculate

Satu set data terdiri daripada 5 nombor. Jumlah bagi nombor ini ialah 59 dan jumlah kuasa dua bagi nombor ini ialah 747. Kirakan

(a) mean

min

(b) standard deviation of the data if a number of 12 is removed.

sisihan piawai bagi data ini jika satu nombor 12 dikeluarkan.

[4 marks]

[4 markah]

Answer / Jawapan:

(a)

(b)

23 Diagram 23 shows six letter cards.

Rajah 23 menunjukkan enam keeping kad huruf.

Diagram 23Rajah 23 A four-letter code is to be formed using four of these cards.

Suatu kod empat huruf hendak dibentuk dengan menggunakan empat daripada

kad-kad itu.

Find Cari (a) the number of different four-letter codes that can be formed. bilangan kod empat huruf yang berlainan yang dapat dibentuk. (b) the number of different four-letter codes which must contain the letter A.

bilangan kod empat huruf yang berlainan yang mesti mengandungi huruf A.

[ 4 marks]

[4 markah]

Answer/ Jawapan : (a) (b)

24 A bag contains 5 red marbles, 6 green marbles and 7 white marbles.

Satu beg mengandung 5 guli merah , 6 guli hijau dan 7 guli putih.

(a) A marble is drawn at random from the bag. Calculate the probability that a red or a white marble is drawn.

Satu guli dikeluarkan secara rawak daripada beg itu. Cari kebarangkalian bahawa satu guli merah atau satu guli putih dikeluarkan

(b) Two marbles are drawn simultaneously at random from the bag. Calculate the probability that both marbles drawn are of the same colour.

Dua guli dikeluarkan serentak secara rawak daripada beg itu. Cari kebarangkalian bahawa kedua-dua guli itu adalah sama warna.

[4 marks]

[4 markah]

Answer/ Jawapan: (a)

(b)

25 Diagram 25 shows a standardised normal distribution graph. Rajah 25 menunjukkan satu graf taburan normal piawai.Diagram 25

Rajah 25

If P( Z > k ) = 0.7623. Find P( 0 < Z < k ).

P( Z > k ) = 0.7623. Cari P( 0 < Z < k ).

[3 marks]

[3 markah] Answer / Jawapan:

END OF THE QUESTION PAPER

KERTAS SOALAN TAMAT

Nama :

Tingkatan:

1. This question paper consists of 25 questions

Kertas soalan ini mengandungi 25 soalan.

2. Answer all questions.

Jawab semua soalan.

3. Give only one answer for each question

Bagi setiap soalan berikan satu jawapan sahaja.

4. Write the answers clearly in the space provided in the question paper.

Jawapan hendaklah ditulis pada ruang yang disediakan dalam kertas

soalan.

5. Show your working. It may help you to get marks.

Tunjukkan langkah-langkah penting dalam kerja mengira anda.

Ini boleh membantu anda untuk mendapatkan markah.

6. If you wish to change your answer, cross out the work that you have

done. Then write down the new answer.

Sekiranya anda hendak menukar jawapan, batalkan kerja mengira

yang telah dibuat. Kemudian tulis jawapan yang baru.

7. The diagram in the questions provided are not drawn to scale

unless stated.

Rajah yang mengiringi soalan ini tidak dilukiskan mengikut skala

kecuali dinyatakan.

8. The marks allocated for each question and sub-part of a question are

shown in brackets.

Markah yang diperuntukkan bagi setiap soalan atau ceraian soalan

ditunjukkan dalam kurungan.

9. A list of formulae is provided on page 2 to 3

Satu senarai rumus disediakan di halaman 2 hingga 3

10. You may use a non-programmable scientific calculator.

Anda dibenasrkan menggunakan kalkulator sainstifik yang tidak

boleh diprogram.

11 This question paper must be handed in at the end of the examination.

Kertas soalan ini hendaklah diserahkan pada akhirpeperiksaan .

Kod PemeriksaSoalanMarkah PenuhMarkah Diperoleh122333435363738494103113123133142153163174184193203213223234244253Jumlah80

Kertas soalan ini mengandungi 21 halaman bercetak

2

5 A point dividing a segment of a line

Titik yang membahagi suatu tembereng

garis

( x,y) = EMBED Equation.3 EMBED Equation.3

6 Area of triangle ( Luas Segitiga )

EMBED Equation.3

1 Distance (Jarak) = EMBED Equation.3

2 Midpoint ( Titik Tengah )

(x , y) = EMBED Equation.3 , EMBED Equation.3

3 EMBED Equation.3

4 EMBED Equation.3

GEOMETRY (GEOMETRI)

1 Arc length, s = r EMBED Equation.3

( Panjang lengkok) s = j EMBED Equation.3

2 Area of sector , L = EMBED Equation.3

( Luas sector) L = EMBED Equation.3

3 sin 2A + cos 2A = 1

4 sec2A = 1 + tan2A

5 cosec2 A = 1 + cot2 A

6 sin 2A = 2 sinA cosA

7 cos 2A = cos2A sin2 A

= 2 cos2A - 1

= 1 - 2 sin2A

8 tan 2A = EMBED Equation.3

TRIGONOMETRY (TRIGONOMETRI)

9 sin (A EMBED Equation.3 B) = sinA cosB EMBED Equation.3 cosA sinB

10 cos (A EMBED Equation.3 B) = cosA cosB EMBED Equation.3 sinA sinB

11 tan (A EMBED Equation.3 B) = EMBED Equation.3

12 EMBED Equation.3

13 a2 = b2 + c2 - 2bc cosA

14 Area of triangle = EMBED Equation.3

(Luas Segitiga)

1 EMBED Equation.3 = EMBED Equation.3

2 EMBED Equation.3 = EMBED Equation.3

3 ( = EMBED Equation.3 = EMBED Equation.3

4 ( = EMBED Equation.3 = EMBED Equation.3

5 m = EMBED Equation.3

6 EMBED Equation.3

7 EMBED Equation.3

8 EMBED Equation.3

9 EMBED Equation.3

10 P(A EMBED Equation.3 B) = P(A)+P(B)- P(A EMBED Equation.3 B)

11 P (X = r) = EMBED Equation.3 , p +q = 1

12 Mean (min) = np

13 EMBED Equation.3

14 z = EMBED Equation.3

STATISTICS (STATISTIK)

3

4

For examiners use only

(

(

(

(

(

For examiners use only

1

0

(

36

25

6

5

5

6

Set B

Set A

5

For examiners use only

3

2

3

3

6

For examiners use only

3

4

3

5

7

y

32

7

6

3

8

11

3

9

4

4

8

9

For examiners use only

(.

13

3

10

For examiners use only

Diagram 15

Rajah 15

12

3

x

(3,17)

11

For examiners use only

x

(

f(z)

181

0

12

For examiners use only

Diagram 14

Rajah 14

O

(1,9)

2

14

13

For examiners use only

3

15

14

For examiners use only

4

(

C

0.6 rad

A

B

O

4

171

15

For examiners use only

3

16

201

3

For examiners use only

16

19

3

17

For examiners use only

4

22

For examiners use only

18

3

21

4

23

19

For examiners use only

4

24

For examiners use only

20

3

25

(

PQADVANCE \u 6 \l 11 ADVANCE \d 6 = 4x

QRADVANCE \u 6 \l 11 ADVANCE \d 6 = 3y

(.

y

x

Z

k

0

(

(

QRADVANCE \u 6 \l 11 ADVANCE \d 6 = 3y

(

PQADVANCE \u 6 \l 11 ADVANCE \d 6 = 4x

(

21

1

2

x

y = 14

5

10

3

For examiners use only

EMBED Equation.3

B(10,7)

A(5,-3)

y

x

.

T

S

R

Q

P

y

OA

OB

OB

OA

xi + yj

(

(

(

(

xi + yj

21

MATEMATIK TAMBAHAN

Kertas 1

September

2 jam

LOGA SEKOLAH

3472/2 SULIT

[ Lihat halaman sebelah

3472/1

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