Set Soalan EXcel Maths Paper 1

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Jawab semua soalan

SULIT 1449/1

18SULIT1449/1

JABATAN PELAJARAN NEGERI SABAH

SIJIL PELAJARAN MALAYSIA 1449/1EXCEL 11MATHEMATICSPaper 12011

1 Hour 15 Minutes One hour and fifteen minutes

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

1. This question paper consists of 40 questions.

2.Answer all questions.

3.Answer each question by blackening the correct space on the answer sheet.

4.Blacken only one space for each question.

5.If you wish to change your answer, erase the blackened mark that you have done. Then blacken the space for the new answer.

6.The diagram in the questions provided are not drawn to scale unless stated.

7.A list of formulae is provided on pages 2 to 4.

8.A booklet of four-figure mathematical tables is provided.

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

This paper consists of 20 printed pages

MATHEMATICAL FORMULAERUMUS MATEMATIK

The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. Rumus-rumus berikut boloeh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunaan.

10Pythagoras Theorem / Teorem Pithagoras 11 121314

1

2

3

4

5Distance/ jarak

=

6 Midpoint/ Titik tengah

7

8Mean =

9Mean =

SHAPES AND SPACE

1. Area of trapezium = Luas trapezium =

1. Circumference of circle = Lilitan bulatan = d = 2j

1. Area of circle = Luas bulatan = j2

1. Curved surface area of cylinder = Luas permukaan melengkung silinder = 2jt

1. Surface area of sphere = Luas permuaan sfera = 4j2

1. Volume of right prism = cross sectional area length Isipadu prisma tegak = luas keratan rentas panjang

1. Volume of cylinder = Isipadu silinder = j2t

1. Volume of cone = Isipadu kon =

1. Volume of sphere =

Isipadu sfera =

1.

Volume of right pyramid = luas tapak Isipadu piramid tegak =

1. Sum of interior angles of a polygon Hasil tambah sudut pedalaman poligon

=

1.

1.

1. Scale factor, Faktor skala, k =

1. Area of image = area of objectLuas imej = k2 luas objek

Answer all question.

1Round off 0.0856 correct to two significant figures.Bundarkan 0.0856 betul kepada dua angka bererti.

A0.08

B0.09

C0.085

D0.086

2Express 0.0000368 in standard form.Ungkapkan 0.0000368 dalam bentuk piawai.

A3.68 105

B3.68 104

C3.68 10 -5

D3.68 10 -4

3=

A

B

C

D

4The net weight of a small packet of instant coffee is 2.0 10-2 kg. A box contains 50 kg of instant coffee powder.Estimate the number of packets of instant coffee that can be packed from the box of instant coffee powder. Berat bersih sebungkus kopi segera ialah 2.0 10-2 kg. Satu kotak mengandungi 50 kg serbuk kopi segera..Anggarkan bilangan bungkusan kopi segera yang dapat dibungkus daripada serbuk kopi segera dalam kotak itu.

A1.0 104

B1.0 103

C2.5 104

D2.5 103

5State the value of digit 4 in the number 24305 , in base ten.Nyatakan nilai digit 4 bagi nombor 23405 , dalam asas sepuluh.

A20

B25

C100

D400

6100112 11102 =

A1012

B1112

C10012

D10102

7In the Diagram 1, PQRSTU is a regular hexagon and UV= PV.Dalam Rajah 1, PQRSTU adalah sebuah heksagon sekata dan UV = PV.

PQRSUTVxoDiagram 1Rajah 130o

Find the value of x.Cari nilai x.

A120

B150

C165

D195

8In Diagram 2, PTU is an equilateral triangle and STU is a straight line.Dalam Rajah 2, PTU ialah segi tiga sama sisi dan STU ialah garis lurus.

RSQPUxyT130Diagram 2Rajah 2115080

Calculate the value of x + yhitung nilai bagi x + y

A175

B260

C320

D545

9In Diagram 3, EFGH is a tangent to the circle at F. JKF is a straight lines.Dalam rajah 3, EFGH ialah tangent kepada bulatan di titik F. JKF ialah garis lurus.

Diagram 3Rajah 3EFGHJKL55o2400p0

Find the value of p. Cari nilai p.

A100

B110

C115

D125

10Diagram 4 shows five points on a Cartesian plane. Point Q is the image of point P under the translation Rajah 4 menunjukkan lima titik di atas satah Cartesan. Titik Q ialah imej bagi titik P dibawah suatu translasi

Diagram 4Rajah 4yx0-4-2-224642DCBQA

Which of the points labeled A, B, C and D , reperesent PAntara titik A, B, C dan D yang manakah mewakili P.

11Diagram 5 shows two Squares PQRS and KLMN drawn on a square grid. Rajah 5 menunjukkan dua segiempat sama PQRS dan KLMN, dilukis pada grid segiempat sama.

Diagram 5Rajah 5PKQLMNRSO

KLMN is the image of PQRS under an enlargement. Find the centre and scale factor of the enlargement.KLMN ialah imej bagi PQRS dibawah suatu pembesaran. Cari pusat dan faktor skala pembesaran itu.

Centre of enlargementPusat pembesaran

Scale factor Faktor skala

ATitik P2

BTitik P

CTitik O

DTitik O

12Diagram 6 shows the graph of y = tan xo

k00 yxDiagram 6Rajah 6Rajah 6 menunjukkan graf y = tan xo

State the value of kNyatakan nilai k

A900

B1800

C2700

D3600

13In Diagram 7, point X and point Y lie on the arc of a unit circle with centre O.Dalam rajah 7, titik X dan titik Y terletak pada lengkok suatu bulatan unit berpusat O.

yxOX(0.34, 0.94)Y(-0.77, 0.64)xoyo

Diagram 7 Rajah 7

Find the value of sin xo + kos yoCari nilai sin xo + kos yo

A0.17

B0.98

C1.58

D1.71

14Diagram 8 shows a cuboid with a horizontal base EFGH . Name the angle between the plane JFG and the plane FGML.Rajah 8 menunjukkan sebuah kuboid dengan tapak mengufuk EFGH . Namakan sudut di antara satah JFG dan satah FGML.

EHFGJLKMDiagram 8Rajah 8

A

B

C

D

15Diagram 9 shows a vertical pole, PQ , on a horizontal plane. Rajah 9 menunjukkan sebatang tiang tegak, PQ, yang terletak pada suatu satah mengufuk.

Diagram 9Rajah 9PRQ15 m

The angle of elevation of point P from point R is 42o. Calculate the distance, in m , of QR.Sudut dongakan puncak P dari Titik R ialah 420. Hitungkan jarak, dalam m, bagi QR.

A13.51

B16.66

C18.03

D22.42

16Diagram 10 shows a man in a lift descending from P to Q.Rajah 10 menunjukkan seorang lelaki dalam sebuah lif yang sedang menurun.

Diagram 10Rajah 10PQRLantai mengufukT10 m

Given that the angle of depression of point R from the eye level of the man when he is at P and Q are 62o and 44o respectively. Calculate the distance, in m, of PQ.Diberi sudut tunduk titik R dari aras mata lelaki bila dia berada di P dan Q adalah masing-masing 62o dan 44o. Hitung jarak, dalam m, bagi PQ.

A 1.88

B 9.15

C15.78

D18.81

17Diagram 11 shows three points, E, F and G, on a horizontal plane. E lies due west of G and the bearing of F from G is 240o.Rajah 11 menunjukkan kedudukan titik E , F dan G, yang terletak pada suatu satah mengufuk. E berada ke barat G dan bearing F dari G ialah 240o.

Diagram 11Rajah 11EFG25o

Find the bearing of F from E. Cari bearing F dari E

A055o

B125o

C1450

D2150

18.In diagram 12, NOS is the axis of the earth. POQ is the diameter of the earth.Dalam rajah 12 , NOS ialah paksi bumi. POQ ialah diameter bumi.

Diagram 12Rajah 12NSOPQ55o100o E100o T

Find the position of point Q Cari kedudukan titik Q

A(55o S, 80oW) / (55o S, 80oB )

B(35o S, 80oW) / (35o S, 80oB )

C(55o S, 100oW) / (55o S, 100oB )

D(35o S, 100oW) / (35o S, 100oB )

19(2m n)2 (4mn - n2) =

A4m2 8mn

B4m2 4mn

C4m2 4mn 2n2

D4m2 8mn + 2n2

20.

20 Express as a single fraction in its simplest form. Ungkapkan sebagai satu pecahan tunggal dalam bentuk termudah.

A

B

C

D

21

Given that express x in terms of y.

Diberi, ungkapkan x dalam sebutan y.

A

B

C

D

22

Given that , calculate the value of x.

Diberi , hitung nilai x.

A4

B6

C

D

23

A

B

C

D13

24

Simplify:Ringkaskan:

A

B

C

D

25

It is given that and , where x and y are integers.Find the maximum value of x y.

Diberi bahawa dan , dengan keadaan x dan y ialah integer.Cari nilai terbesar bagi x y.

A10

B11

C12

D13

26

List all the integers w which satisfy both the simultaneous linear inequalities and .

Senaraikan semua integer x yang memuaskan kedua-dua ketaksamaan linear serentak dan .

A 2, 1, 0, 1, 2, 3

B 2, 1, 0, 1, 2, 3, 4

C 3, 2, 1, 0, 1, 2, 3

D 3, 2, 1, 0, 1, 2, 3, 4

27

Diagram 13 is a bar chart showing the number of coconuts sold by Ahmad in five days.Rajah 13 ialah carta palang yang menunjukkan bilangan kelapa yang dijual oleh Ahmad dalam tempoh lima hari.

Diagram 13Rajah 13Isnin Selasa Rabu Khamis JummatNumber of coconutsBilangan kelapaMon500100150200250TuesWedThurFri

Find the mean number of coconuts sold per day.Cari min kelapa yang dijual sehari.

A150

B200

C250

D300

28

Diagram 14 is a pictograph shows the sale of books in a particular week. The numbers of mathematics and science books sold are not shown.Rajah 14 ialah pictogram yang menunjukkan jualan buku dalam satu minggu yang tertentu. Bilangan jualan buku matematik dan buku sains tidak ditunjukkan.

English BooksBuku Inggeris

Mathematics BooksBuku Matematik

Science BooksBuku Sains

represents 15 copies of books.

Diagram 14Rajah 14

The sales of english, mathematics and science books are in the ratio 4 : 3 : 5. Find the total number of mathematics and science books sold in the week.Jualan buku inggeris, buku matematik dan buku sains adalah dalam nisbah 4 : 3 : 5. Cari jumlah buku matematik dan buku sains yang dijualkan dalam minggu itu.

A120B 180C 240D 360

29

Table 1 shows the marks obtained by a group of 40 students in a test. Jadual 1 menunjukkan markah ujian yang diperoleh sekumpulan 40 orang murid.

Marks

40 4950 5960 6970- 79

No. of pupils581710

Table 1 Jadual 1

If the passing mark is 50, calculate the percentage of these students who passed.Jika markah lulus ialah 50, hitung peratus lulus murid-murid itu.

A12.5

B87.5

C90.0

D95.0

30Which graph reperesents ?

Graf manakah yang mewakili ?

A-30xy

B20xy

C20xy

D-30xy

31List all the subsets of set Q = {2, 3, 5}

A{2}, {3}, {5}

B{2}, {3}, {5}, { }

C{2}, {3}, {5}, {2, 3}, {2, 5}, {3, 5}, {2, 3, 5}

D{2}, {3}, {5}, {2, 3}, {2, 5}, {3, 5}, {2, 3, 5}, { }

32Diagram 15 is a Venn diagram which shows the elements of set P, set Q and set R.

PQR.8Diagram 15Rajah 15.6.2.3.4.5.7Rajah 15 adalah gambar rajah Venn yang menunjukkan unsur unsur set P, set Q dan set R.

It is given that the universal set, . Find the value of n(Q).

Diberi bahawa set semesta, . Cari nilai bagi n(Q).

A3

B4

C5

D6

33

Diagram 16 Shows a straight line PQ with equation ky = x + 8 , where k is a constant.

xyO2PQDiagram 16Rajah 16Rajah 16 menunjukkan garis lurus PQ yang mempunyai persamaan ky = x + 8 , dengan keadaan k ialah pemalar .

Find the value of k.Cari nilai k.

A

B

C 4

D4

34Find the gradient of the straight line. .Cari kecerunan bagi garis lurus .

A

B

C

D

35In an examination, the probability of Ahmad answering a question wrongly is. Estimatehow many questions are correct if Ahmad answered a total of 120 questions.

Dalam satu peperiksaan, kebarangkalian Ahmad salah menjawab satu soalan ialah .Ramalkan bilangan soalan yang dijangka betul jika Ahmad menjawab sejumlah 120 soalan.

A20

B35

C85

D90

36Table 2 shows the country of origin of a group of 600 tourists visiting Sabah Museum.Jadual 2 menunjukkan negara asal sekumpulan 600 pelancong yang melawat Muzium Negeri Sabah.CountryNegaraChinaChinaJapanJepunKoreaKoreaPhillipineFilipin

Number of touristsBilangan pelancong17014021080

Table 2 / Jadual2It is found that 10 Japanese tourists recorded in table 2, are actually come from China. A tourist is chosen at random, State the probability that the tourist chosen is from China.Didapati bahawa seramai 10 pelancong dari negera Jepun yang direkodkan dalam Jadual 2, sebenarnya adalah datang dari negera China. Seorang pelancong dipilih secara rawak. Nyataan kebarangkalian bahawa pelancong yang dipilih itu datang dari negera China.

A

B

C

D

37It is given that H varies directly as the cube root of y. Find the relation between H and y.Diberi bahawa H berubah secara langsung dengan kuasa tiga y. Cari hubungan antara H dan y.

A

B

C

D

38Table 3 shows some values of the variables m and n, such that m varies inversely as thesquare of n. find the value of x.Jadual 3 menunjukkan beberapa nilai bagi pemboleh ubah m dan n, dengan keadaan m berubah secara songsang dengan kuasa dua n.

m

n4x

Table 3 Jadual 3 Calculate the value of x.Hitung nilai x.

A5

B6

C7

D8

394

A

B

C

D

40If , find the value of k.

A2

B3

C4

D6

END OF QUESTION PAPERSOALAN TAMAT1449/1[Lihat sebelahSULIT1449/1 [Lihat sebelah SULIT