JABATAN PELAJARAN NEGERI SABAH

Transcription

1 SULIT 1449/ NAMA : KELAS : JABATAN PELAJARAN NEGERI SABAH SIJIL PELAJARAN MALAYSIA 1449/ EXCEL MATHEMATICS Paper Hours 30 Minutes Two hours and thirty minutes JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU 1. Tulis nombor kad pengenalan dan angka giliran anda pada ruangan yang disediakan.. Kertas soalan ini adalah Bahasa Ingerís. 3. Calon dikehendaki membaca maklumat di halaman. Kod Pemeriksa Bahagian Soalan Markah Penuh A B Jumlah Markah Diperolehi Kertas soalan ini mengandungi 9 halaman bercetak. 1449/ [Lihat sebelah SULIT

2 INFORMATION FOR CANDIDATES 1. This question paper consists of two sections : Section A and Section B... Answer all questions in Section A and four questions from Section B. 3. Write your answers clearly in the space provided in the question paper. 4. Show your working. It may help you to get marks.. 5. If you wish to change your answer, neatly cross out the answer that you have done. Then write down the new answer. 6. The diagram in the questions provided are not drawn to scale unless stated. 7. The marks allocated for each question and sub-part of a question are shown in brackets.. 8. A list of formulae is provided on pages 3 to 4 9. A booklet of four-figure mathematical tables is provided. 10. You may use a non-programmable scientific calculator. 11. This question paper must be handed in at the end of the examination.

3 MATHEMATICAL FORMULAE RUMUS 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. 1 3 a a ( m m a n a n a a m n mn a ) a mn mn 10 Pythagoras Theorem / Teorem Pithagoras c a b d b 4 A ad bc c a 5 Distance/ jarak 1 P( A') 1 P( A) 13 m y x y1 x 1 = ( x y 1 x ) ( y1 ) 14 y int ercept m x int ercept 6 Midpoint/ Titik tengah x1 x y1 y ( x, y), 7 8 Mean = sum of data number of data 9 Mean = sum of ( class mark frequency) sum of frequencies 3

4 SHAPES AND SPACE 1 1 Area of trapezium = sum of parallel sides height Luas trapezium = Circumference of circle = d r Lilitan bulatan = d = j 3 Area of circle = r Luas bulatan = j 4 Curved surface area of cylinder = rh Luas permukaan melengkung silinder = jt 5 Surface area of sphere = 4 r Luas permuaan sfera = 4j 6 Volume of right prism = cross sectional area length Isipadu prisma tegak = luas keratan rentas panjang 7 Volume of cylinder = r h Isipadu silinder = j t 1 8 Volume of cone = r h 3 Isipadu kon = 9 Volume of sphere = Isipadu sfera = 4 r 3 4 r Volume of right pyramid 1 = 3 Isipadu piramid tegak = luas tapak tinggi 11 Sum of interior angles of a polygon Hasil tambah sudut pedalaman poligon = ( n ) 180 4

5 arc length angle subtended at centre 1 circumference of circle 360 area of sector angle subtended at centre 13 area of circle Scale factor, PA' k PA Faktor skala, k = 15 Area of image = k area of object Luas imej = k luas objek 5

6 Section A [5 marks] Answer all questions in this section. 1 The Venn diagram in the answer space shows sets, J, K and L such that the universal set, = J K L. Gambar rajah Venn di ruang jawapan menunjukkan set J, set K and set L dengan keadaan set semesta = J K L. On the diagram in the answer space, shade Pada rajah di ruang jawapan, lorekkan (a) J L, (b) ( J L) K '. [3 marks ] [ 3 markah ] Answer/ Jawapan : (a) J K L (b) J K L 6

7 Calculate the value of p and of q that satisfy the following simultaneous linear equations: Hitung nilai p dan nilai q yang memuaskan persamaan linear serentak berikut: 3p 4q 3 1 p 6q 7 Answer/Jawapan : [ 4 marks] [4 markah] 3 Using factorization, solve the following quadratic equation. Menggunakan pemfaktoran, selesaikan persamaan kuadratik berikut. Answer/Jawapan: x 3(1 x) [4 marks] [4 markah] 7

8 4 Diagram 4 shows a trapezium PQRS drawn on a Cartesian plane. SR is parallel to PQ. Rajah 4 menunjukkan sebuah trapezium PQRS yang dilukis pada suatu satah Cartesan. SR adalah selari dengan PQ. S y R ( 6, 1) O x P ( -1,-) Q ( 4, - 3) Find Cari (a) (b) the equation of the straight line SR persamaan garis lurus SR the x-intercept of the straight line SR pintasan-x bagi garis lurus SR Diagram 4 Rajah 4 Answer/Jawapan : [ 5 marks ] [ 5markah] (a) (b) 8

9 5 Diagram 5 shows a pyramid. Base JKLM is a horizontal rectangle and VL is vertical. VLM is a right angled triangle. Rajah 5 menunjukkan sebuah piramid. Tapak segiempat tepat JKLM adalah mengufuk dan VL adalah menegak. VLM adalah sebuah segitiga bersudut tegak. V 3 cm M L 5 cm J 6 cm K Diagram 5 Rajah 5 (a) Name the angle between the line KV and the plane LMV. Namakan sudut di antara garis KV dengan satah LMV. (b) Calculate the angle between the line KV and the plane LMV Hitung sudut di antara garis KV dengan satah LMV Answer/Jawapan : (a).[3 marks] [3 markah] (b) 9

10 6 In Diagram 6, OABC and ODE are two sectors of circles with centre O. Dalam Rajah 6, OABC and ODE ialah dua sektor bagi bulatan-bulatan berpusat O. D C E 14cm 36 o 104 o O B 7cm Diagram 6 Rajah 6 It is given that OA = 7 cm, OE = 14 cm, AOE 104, and EOD 36. Diberi bahawa OA = 7 cm, OE = 14 cm, AOE 104, dan EOD 36. By using π = 7, calculate A Dengan menggunakan π = 7, hitung (a) the area, in cm, of the whole diagram, luas, dalam cm, seluruh rajah itu, (b) the perimeter, in cm, of the whole diagram. perimeter, dalam cm, seluruh rajah itu. Answer/Jawapan : (a) [6 marks] [6 markah] (b) 10

11 7 (a) Determine whether the following statement is true or false. All multiples of 10 are multiples of 5 Tentukan pernyataan berikut betul atau palsu. Semua nombor gandaan 10 merupakan nombor gandaan 5. (b) 0 It is given the sum of all interior angle of a regular polygon of n sides is ( n ) 180. Make one conclusion by deduction on the size of the sum of all interior angle of a regular octagon. Diberi bahawa jumlah sudut pedalaman sebuah polygon sekata dengan n sisi ialah 0 ( n ) 180. Buat satu kesimpulan secara khusus tentang saiz jumlah sudut pedalaman sebuah octagon. (c) State the premise in the following argument. Premise 1 : If x is a prime number, then x has two factors only. Premise :. Conclusion : x is not a prime number. Nyatakan premis yang sesuai dalam hujah berikut: Premis 1 : Jika x ialah suatu nombor perdana, maka x mempunyai dua faktor sahaja. Premis :. Conclusion : x bukan nombor perdana. Answer/Jawapan : [5 marks] [5 markah] (a) (b).. (c) Premise / Premis :: 11

12 8 The diagram 8 below shows six labeled cards in Box P and Box Q. Rajah 8 dibawah menunjukkan enam kad yang berlabel di dalam kotak P dan kotak Q Box P Kotak P Diagram 8 Rajah 8 Box Q Kotak Q A card is picked at random from each of the boxes. Sekeping kad dipilih secara rawak daripada setiap kotak itu. (a) (b) List the sample space. Senaraikan ruang sampel. List all the outcomes of the events and find the probability that Senaraikan semua kesudahan peristiwa dan cari kebarangkalian bahawa (i) both cards are labelled with an odd number, kedua-dua kad dilabel dengan nombor ganjil. (ii) a card is labelled with number 7 or the card with an even number is picked. satu kad dilabel dengan nombor 7 atau kad berlabel nombor genap dipilih. Answer/Jawapan : [5 marks] [5 markah] (a) (b)(i) (ii) 1

13 The inverse of is 6 7 k m Matrix songsang bagi ialah 6 7 k m 3 a) Find the value of m and of k Cari nilai m dan nilai k b) Using matrices, calculate the value of x and of y that satisfy the following matrix equation: Menggunakan kaedah matriks, hitung nilai x dan nilai y yang memuaskan persamaan matriks berikut: 3 x y 8 Answer/Jawapan: (a) [7 marks] [7 markah] (b) 13

14 10 Diagram 10 shows a solid mass in the shape of a half cylinder with a half cone taken out. The height of the cone is half of the length of the cylinder. The diameter of the half cylinder is 7cm and the length of cylinder is 1cm. Rajah 10 menunjukkan sebuah pepejal berbentuk separuh silinder dengan separuh kon dikeluarkan. Tinggi kon adalah separuh daripada tinggi silinder tersebut. Diameter separuh silinder adalah 7cm dan panjang silinder adalah 1cm. Diagram 10 Rajah 10 Calculate the volume, in cm 3, of the remaining solid. Hitung isipadu, dalam cm 3, pepejal yang tinggal itu. [ Use /Guna = ] [10 7 marks] [10 markah] Answer/Jawapan : 14

15 11 Diagram 11show the distance-time graph of a lorry and a taxi. Rajah 11 menunjukkan graf jarak masa bagi perjalanan sebuah lori dan sebuah taxi. Distance/ Jarak (km) Town Y Bandar Y 60 A Q 40 B C Diagram 11 Rajah 11 Town X Bandar X 0 P The graph ABCD represents the journey of the lorry from town Y to town X. Graph PQ represents the journey of the taxi from town X to town Y. The lorry and the taxi depart at the same time and travel along the same road. Graf ABCD mewakili perjalanan lori dari bandar Y ke bandar X. Graf PQ mewakili perjalanan taxi dari bandar X ke bandar Y. Lori dan taxi itu bertolak pada masa yang sama dan melalui jalan yang sama. D Time / Masa (min) (a) (b) (i) (b) (ii) State the length of time, in minutes, during which the lorry is stationary. Nyatakan tempoh masa, dalam minit, lori itu berhenti. If the journey starts at.00 p.m., at what time do the vehicles meet? Jika perjalanan itu bermula jam.00 p.m., pukul berapakah kedua-dua kenderaan itu bertemu? Find the distance, in km, of the two vehicles from town Y when they meet. Cari jarak, dalam km, dari bandar Y bila kedua-dua kenderaan itu bertemu. (c) Answer/Jawapan: Calculate the average speed, in kmh -1, of the lorry for the whole journey. Kirakan purata laju, dalam kmj -1, lori itu bagi keseluruhan perjalanan. [6 marks] [6 markah] (a) (b)(i) (b) (ii) (c) 15

16 Section B Bahagian B [ 48 marks/markah] Answer any four questions from this section. Jawab mana-mana empat soalan daripada bahagian ini. 1 (a) 1 Complete Table 1 in the answer space for the equation y by writing down the values of y x when x = and x = 3.5. [ marks] 1 Lengkapkan Jadual 1 di ruang jawapan bagi persamaan y dengan menulis nilai-nilai y x apabila x = dan x = 3.5. [ markah] (b) For this part of question, use the graph paper provided on page 19. You may use a flexible curve rule. Untuk ceraian soalan ini, guna kertas graf pada halaman 19. Anda boleh guna pembaris flesible. Using a scale of cm to 1 unit on the x-axis and cm to units on the y-axis, draw the graph of 1 y for. [4 marks] x Menggunakan skala cm kepada 1 unit pada paksi-x dan cm kepada unit pada paksi-y, lukis 1 graf y untuk.. [4 markah] x (c) (d) From the graph in 1(b), find Dari graf di 1(b), cari (i) the value of y when x =.5, nilai y apabila x =.5, (ii) the value of x when y = 10. nilai x apabila y = 10. [ marks] [ markah] Draw a suitable straight line on the graph in 1(b) to find the values of x which satisfy the equation 4x 1 0 for.. State the values of x. [4 marks] Lukis satu garis lurus yang sesuai pada graf di 1(b) untuk mencari nilai-nilai x yang memuaskan persamaan 4x 1 0 untuk.. Nyatakan nilai-nilai x ini. [4 markah] 16

17 Answer / Jawapan : (a) x y (b) Refer graph on page 19. Rujuk graf di halaman 19. Table 1 Jadual 1 (c) (i) y =. (ii) x =. (d) x =,. 17

18 Graph for Question 1 Graf untuk Soalan 1 18

19 13 (a) Transformation R is a clockwise rotation of 90 o about the centre (0, ). Transformation T is a translation. Penjelmaan R ialah putaran 90 o ikut arah jam pada pusat (0, ). Penjelmaan T ialah translasi. State the coordinates of the image of the point (-1, 5) under these transformations : Nyatakan koordinat imej bagi titik (-1,5) di bawah penjelmaan: (i) T (ii) TR [4 marks] [4 markah] (b) Diagram 13 shows three pentagons, ABCDE, FGHIJ and FMNPQ, drawn on a Cartesian plane. Rajah 13 menunjukkan tiga pentagon, ABCDE, FGHIJ dan FMNPQ, dilukis pada suatu satah Cartesan. y H C G M N P 6 4 I D B 4 F Q J 0 E A x (i) 4 Diagram 13 Rajah 13 FMNPQ is the image of ABCDE under a combined transformation WV. FMNPQ ialah imej bagi ABCDE di bawah gabungan penjelmaan WV. Describe in full the transformation Huraikan selengkapnya penjelmaan (a) V, (b) W. [ 5 marks ] 19

20 (ii) It is given that the region FMNPQ represents a region of area 0.5 m. Calculate the area, in m, of the shaded region. Diberi bahawa kawasan FMNPQ mewakili luas 0.5 m. Hitung luas, dalam m, kawasan berlorek. [5 markah] Answer / Jawapan : (a) (i) (ii) (b) (i) (a) V : (b) W : (ii) 0

21 14 The data below shows the life span, in hours, of 3 batteries tested. Data di bawah menunjukkan jangka hayat, dalam jam, 3 buah bateri yang telah diuji (a) Based on the data, complete Table 14 in the answer space. [5 marks] Berdasarkan data itu, lengkapkan jadual 14 pada ruang jawapan. [5 markah] (b) State the modal class. [1 marks] Nyatakan kelas mod. [1 markah] (c) For this part of the question, use the graph paper provided on page 4. Untuk ceraian soalan ini, gunakan kertas graf yang disediakan di halaman 4. By using a scale of cm to 5 hours on the x-axis and cm to 5 batteries on the y-axis, draw an ogive based on the data. [4 marks] Dengan menggunakan skala cm kepada 5 jam pada paksi x and cm kepada 5 bateri pada paksi y, lukiskan satu ogif berdasarkan data yang diberi. [4 markah] (d) From the ogive in (c) Dari ogif di (c) (i) Find the median [1 marks] Cari median, [1 markah] (ii) Find the third quartile, [1 marks] Cari kuartil ketiga, [1 markah] 1

22 Answer / Jawapan : (a) Class interval Selang kelas Upper boundary Sempadan atas Frequency Kekerapan Cumulative Frequency Kekerapan longgokan Table 14 Jadual 14 (b) (c) Refer graph on page 4. Rujuk graf di halaman 4. (d) (i) (ii)

23 Graph for Question 14 SULIT Graf untuk Soalan / 3

24 15 You are not allowed to use graph paper to answer this question. Anda tidak dibenarkan menggunakan kertas graf untuk menjawab soalan ini. (a) Diagram 15(i) shows a solid right prism with a rectangular base ABCD on a horizontal plane. The surface ABRUFE is the uniform cross-section of the prism. The rectangle RBCS is an incline plane. The rectangles EFGH and RSTU are horizontal planes. The edges EA and FU are vertical. Rajah 15(i) menunjukkan sebuah pepejal berbentuk prisma tegak dengan tapak segiempat tepat ABCD yang terletak di atas satah mengufuk. Permukaan ABRUFE ialah keratan rentas seragamnya. Segiempat tepat JRBCS ialah satah condong. Segi empat tepat EFGH dan RSTU ialah satah mengufuk. Tepi EA dan FU adalah tegak. Diagram 15(i) Rajah 15(i) Draw to full scale, the elevation of the solid on a vertical plane parallel to AB as viewed from X. Lukis dengan skala penuh, dongakan pepejal itu pada satah mencancang yang selari dengan AB sebagaimana dilihat dari X. [3 marks] [3 markah] 4

25 Answer/Jawapan : (a) (b) A solid cuboid of length 4cm, width 3cm and height cm is removed from the prism and the remaining solid is shown in Diagram 15(ii). PQML is a horizontal plane. FP, JL, NM and RQ are vertical edges. Sebuah pepejal berbentuk kuboid dengan panjang 4cm, lebar 3cm dan tinggi cm, dikelaurkan daripada prisma itu. Pepejal yang tinggal seperti ditunjukkan pada Rajah 15(ii). PQML ialah satah mengufuk. Tepi FP, JL, NM dan RQ adalah tegak. Diagram 15(ii) Rajah 15(ii) 5

26 Draw to full scale, Lukis dengan skala penuh, (i) the plan of the remaining solid, pelan pepejal yang tinggal, [4 marks] [4 markah] (ii) the elevation of the remaining solid on a vertical plane parallel to BC as viewed from Y. Answer/Jawapan : (b) (i), (ii) dongakan pepejal yang tinggal pada satah mencancang yang selari dengan BC sebagaimana dilihat dari Y. [5 marks] [5 markah] 6

27 16 P(4 o N, 65 o W), Q and R are three points on the surface of the earth. PQ is the diameter of the parallel of latitude 4 o N. PR is the diameter of the earth. P(4 o U, 65 o B), Q dan R adalah tiga titik pada permukaan bumi. PQ ialah diameter selarian latitud 4 o U. PR ialah diameter bumi. (a) State the position of Q. Nyatakan kedudukan Q. (b) [3 marks] [3 markah] Calculate the shortest distance, in nautical mile, from P to Q measured along the surface of the earth, Hitung jarak terpendek, dalam batu nautika, dari P ke Q diukur sepanjang permukaan bumi, [ marks] [ markah] (c) An aeroplane took off from P and flew due east to Q along the parallel of latitude. It then flew due south to R. Sebuah kapal terbang berlepas dari P arah ke timur ke Q sepanjang selarian latitude dan kemudian terbang arah ke selatan ke R. Calculate/ hitung (i) the distance, in nautical mile, from P to Q measured along the common parallel of latitude, jarak, dalam batu nautika, dari P ke Q diukur sepanjang selarian latitude sepunya, [3 marks] [3 markah] (ii) The time, in hours, taken for the whole flight if its average speed is 630 knots. Masa, dalam jam, yang diambil bagi seluruh penerbangan itu jika purata lajunya ialah 630 knot. [4 marks] [4 markah] Answer /Jawapan: (a) (b) 7

28 (c) (i) (c) (ii) END OF QUESTION PAPER SOALAN TAMAT 8

29 Question Solution and Mark Scheme Marks 1 (a) J K L K P1 (b) J L K P 1p 16q = 1 or 9p - 1q= 9 or 4p-1q = 14 or 3 equivalent Note : Attempt to equate the coefficient of one of the unknowns, award -10q= 5 or -15p = -5 or equivalent OR p = q 1 or q= p or p equivalent q or q = p or 1 6 Attempt to make one of the unknowns as the subject, award 9

30 30-10q= 5 or -15p = -5 or equivalent OR )(1) ( 6 (3) 1 q p Note : Award if * Matrix Inverse q p or q p. Do not accept * inverse matrix = or p 1 q Note : q p as final answer, award N1 K N1 N1 4 3 x -3x - 5=0

31 (x- 5) ( x + 1) =0 or equivalent x =.5 or x = -1 Note : 5 N1 N1 1. Accept without =0. Accept three terms on the same side, in any order 3. Do not accept solutions solved not using factorization 4 4(a) 3 ( ) 1 M PQ =M SR = or 4 ( 1) 5 = 1 = * MSR(6) c or equivalent P1 y = 1 11 x or equivalent 5 5 N1 4(b) 0 = 1 x 11 or equivalent N1 5 31

32 5(a) (b) Identify KVL or LVK tan KVL = 3 5 or equivalent P or 59 N1 3 6(a) or cm or cm or cm N1 (b) 0 7 or KI cm or cm or cm N1 Note: 1. Accept for K mark.. Correct answer from incomplete working, award KK 6 3

33 7 (a) (b) True (8 ) o 0 P1 P1 N1 (c) x has more than two factors / x does not has two factors K 5 8(a) (b) (i) {(5,), (5,3),(6,),(6,3),(7,),(7,3),(8,),(8,3)} {(5,3),(7,3)} 1 4 P1 N1 (ii) {(5,),(6,),(6,3),(7,),(7,3),(8,),(8,3)} 7 8 Note: Accept answer without working for N1 N (a) k = 9 m = -6 m= -3 P1 P (b) x y (3)(7) ()(6) x 1 y K x = -1 y = N1 N1 7 33

34 Note: x * inverse 1 1. y matrix 8 or (3)(7) ()(6) seen, award. Do not accept *inverse = 3 matrix 6 7 or x 1 y as final answer, award N1 4. Do not accept any solutions solve not using matrices OR cm 96 cm 3 K N1 4 11(a) (b)(i) 40 or 40 m or 40 min.5pm or 145 or.5 P1 P1 (ii) 0km or 0 P1 (c) K 45kmh -1 // 45 kmj -1 or 45 N1 6 1(a) (a) 6 34

35 3.43 (b) Graph 1. Axes drawn in correct direction with uniform scales in 3 x 4 and 1 y 8. All 6 points and * points correctly plotted or curve passes through all the points for 3 x 4 3. A smooth and continuous curve without any straight line and passes through all points P1 K N1 Note : 6 or 7 points correctly plotted award N0 4 (c) (i) y = y 5.1, and P1 (ii) x = x 1.3 P1 Note : (d) 1. Allow P mark if value of x and of y are shown on graph. Value of x and of y obtained by calculation, award P0 Identify equation y 4x Straight line y4x correctly drawn (Check any two points (-1,4), (0,0), (1,-4), ) 1.65 x x 1.65 Note: 1. Allow N mark if value of x shown on graph N1 N1. Value of x obtained by calculation, award N

36 SULIT Graph for Question / Graf untuk Soalan 1 y x x - -4 y = -4x (a)(i) (3,1) P 36-1

37 (ii) (5,1) P 4 (b) (i) (a) V : Reflection in the line x = 3 P Note : 1. Reflection / Pantulan, award P1 (b) W: Enlargement with scale factor 1 Note : at centre F/ (-3,1) P Enlargement with scale factor 1 // Pembesaran dengan faktor skala 1 or Enlargement at centre F (-3,1) // Pembesaran pada pusat F (-3,1), award P. Enlargement // Pembesaran, award P1 (b) (ii) N (a) Class Upper Frequency Cumulative 37

38 interval Selang kelas boundary Sempadan atas Kekerapan Frequency Kekerapan longgokan I II III IV V VI VII Upper boundary : (II to VII) P1 Frequency : (I to VII) P Cumulative Frequency : (I to VII) P 5 Note : 1. Allow two mistakes in frequency for P1. Allow two mistakes in cumulative frequency for P1 (b) P1 1 (c) Graph 1. Axes drawn in correct direction with uniform scales in 19.5 x 54.5 and 0 y 3. All points correctly plotted and curve passes through using at least correct 6 correct upper boundary 3. Smooth and continuous curve without any straight line passes through all correct points using the given scales P1 K N1 Note : 5* points plotted correctly award N0 4 (d) (i) 36 x 37 P1 1 (ii) 40.5 x 41.5 P1 1 1 Graph for Question 14 Graf untuk Soalan 14 Cumulative Frequency 38

39 39

40 15(a) Correct shape with prism AEFURB. All solid lines. AE=AB>RB>RU=FU>EF Measurement correct to ± 0. cm (one way) and all angles at the vertices of rectangles = 90 o ± 1 o. N (b) (i) Correct shape with rectangle ADGF, LTSN,FLNR,RSCB. All solid lines. CD=AB>AD=BC=FG=RS>FL=RN>ST=FR=JN>GJ=SN 40

41 Measurement correct to ± 0. cm (one way) and angle A, angle B and angle K= 90 o ± 1 o. N 4 15 (b) (ii) Correct shape with rectangle REGS and ARSC. All solid lines. Note : Ignore dotted line NM and QM. N and M as well as Q and M joined with dotted line to form rectangle QRNM AE=DH>EG=RS=AC>RN>NS Measurement correct to ± 0. cm (one way) and all angle at the vertices of rectangles = 90 o ± 1 o. N

42 16 (a) (4 o N, 115 o E) // (4 o U, 115 o T) P3 3 Note : 1. 4 o N // 4 o U or 115 o E // 115 o T, award P. 4 o or 115 o, award P1 (b) (180 o -4 o -4 o )x60 =96 x 60 =5760 n.m. K N1 3 (c)(ii) cos4 o K Note : Using cos4 o or * cos4 o, award n.m. N1 3 (ii) ( ) K N