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1 MATHEMATICS NAMA : KELAS : NO K.P : A. GILIRAN : PAPER 1 AUGUST HOUR 15 MINUTES JABATAN PELAJARAN NEGERI SABAH SIJIL PELAJARAN MALAYSIA TAHUN 008 EXCEL MATHEMATICS (MATEMATIK) PAPER 1 (KERTAS1) ONE HOUR FIFTEEN MINUTES (SATU JAM LIMA BELAS MINIT) JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU Calon dikehendaki membaca maklumat di halaman This question paper consists of 16 printed pages. (Kertas soalan ini terdiri daripada 16 halaman bercetak.)

2 INFORMATION FOR CANDIDATES 1. This question paper consists of 40 questions.. Answer all questions.. 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 to A booklet of four-figure mathematical tables is provided. 9. You may use a non-programmable scientific calculator.

3 The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. RELATIONS 1 a m a n a mn a m a n a mn ( m n mn a ) a 1 1 d b 4 A ad bc c a 5 P( A) n( A) n( S) 6 P( A' ) 1 P( A) 7 Distance = ( x y 1 x ) ( y1 ) x1 x y1 y 8 Midpoint, ( x, y), 9 Average speed = distance travelled time takenl 10 Mean = 11 Mean = sum of data number of data sum of ( class mark frequency) sum of frequencies 1 Pythagoras Theorem c a b 1 m y x y1 x 1 y int ercept 14 m x int ercept

4 SHAPES AND SPACE 1 1 Area of trapezium = sum of parallel sides height Circumference of circle = d r Area of circle = r 4 Curved surface area of cylinder = rh 5 Surface area of sphere = 4r 6 Volume of right prism = cross sectional area length 7 Volume of cylinder = r h 1 8 Volume of cone = r h 9 Volume of sphere = 4 r 1 10 Volume of right pyramid = luas tapak tinggi 11 Sum of interior angles of a polygon = ( n ) arc length angle subtended at centre circumference of circle 60 1 area of sector angle subtended at centre area of circle Scale factor, k PA' PA 15 Area of image = k area of object

5 Answer all question. 1 Round off correct to three significant figures. A B C D Express in standard form. A B C D = A B C D A cuboid has a length of cm, width of Calculate the volume, in cm, of the cuboid. A B C D cm and height of 500 mm. 5 Express 5 as a number in base five A 1 45 B 05 C 45 D = A 1001 B 1011 C 1101 D 1111

6 7 In Diagram 1, PQRSTU is a regular hexagon. PUV and QPW are straight lines. Q P W 74 0 R U y0 S x 0 T V The value of x + y = A 76 B 96 C 104 D 14 DIAGRAM 1 8 In Diagram, PQR is a tangent to the circle at point Q. Given that PQT = 56º. The length of the arc TQ is equal to the length of the arc SQ. P T x 0 Q S R DIAGRAM Find the value of x. A 56º B 68º C 11º D 14º

7 9 In Diagram, which of the triangle, A, B, C or D is the image of P under a rotation of 90 clockwise about the centre (0,0)? DIAGRAM 10 In Diagram 4, M is the image of N under a translation. DIAGRAM 4 Which of the following represent the correct translation? A 5 4 B 5 4 C 5 4 D 5 4

8 11 In Diagram 5, QS = QR and PQR is a straight line. S 8 cm P Q 6 cm R The value of sin SQR is A 5 DIAGRAM 5 B 4 C 5 4 D 4 1 Diagram 6 shows the graph of y = cos x y 1 0 o S x -1 x DIAGRAM 6 The value of S is A B C D 90 o 180 o 70 o 60 o

9 1 In Diagram 7, O is the origin of a Cartesan plane. y P(8, 15) r O x DIAGRAM 7 The value of cos r is A B C D Diagram 8 shows a pyramid with an equilateral triangle base, PQR. Point V is right on top of point R. DIAGRAM 8 Name the angle between the two planes PQR and VPQ. A B C D VPR VRX VXR VQR

10 In Diagram 9, J and L are two points on a horizontal plane. LK is a vertical pole. K 8 m J 1 m DIAGRAM 9 L The angle of depression of point J from vertex K is A 6 4' B 8 46' C 4' D 41' 16 In Diagram 10, PQ and RS are two vertical poles on a horizontal plane. The angle of elevation of P from R is 5. P t m Q 15 m DIAGRAM 10 R S 4 m Calculate the value of t. A 10.5 B 14.5 C 16.5 D It is given that the bearing of point F from E is 08. Find the bearing of E from F. A 08 B 06 C 15 D 08

11 P ( 64 o N, 100 o W ) and Q are two points on the earth s surface such that P and Q is the diameter of the earth. The position of point Q is A (64 o N, 80 o E ) B (64 o N, 100 o E ) C (64 o S, 100 o E ) D (64 o S, 80 o E ) 19 (m n) + 4mn = A 4m + n B 4m n C 4m 8mn n D 4m 4mn + n h 1 4 e 0 Express eh e in its simplest form. as a single fraction A B C 4 eh eh 4 eh eh 4 eh eh 4 eh eh D 1 Given ( + m ) = 5 ( m 4 ), then m = A B 4 C 5 D 6 If n, n is A 1 B C 5 D 7

12 1 m m Given 7, express n in terms of m. n m A n m 1 m B n 1 m 1 m C n m m 1 D n m p 4 List all the integers p that satisfy both the inequalities 4p + 7 and >. A 4, 5 B 5, 6 C 4, 5, 6 D 5, 6, 7 5 Given that the mean of, 7, 8, 10 and x is 6, find the value of x. A B 5 C 6 D 9 6 Diagram 11 is a pictograph showing the number of computers sold in January and February. The number of computers sold in March are not shown. January February March represent 10 computers DIAGRAM 11 If the information above is represented by a pie chart, the angle for the sector of computers sold in February is 168. The number of computers sold in March was A 0 B 0 C 40 D 50

MOZ@C 1 7 Table 1 shows the frequency and accumulated frequency for the length of leaves collected by Ahmad. TABLE 1 Find the value of x.

13 1 7 Table 1 shows the frequency and accumulated frequency for the length of leaves collected by Ahmad. TABLE 1 Find the value of x. A 9 B 1 C 40 D 50 8 Diagram 1 shows the graph of the function y = x n + b. y ` The value of b is A B 4 C 6 D 8 DIAGRAM 1 x 9 It is given that the universal set, { x :19 x 1, x is an integer} and set R = { x : x is a number such that the sum of its two digits is a prime number}. Find set R'. A {19,, 9, 1} B {1,, 5, 7, 9} C {0, 1,, 5, 9, 0} D {19,, 4, 6, 7, 8, 1}

14 Given that { 9 x 18, x is an integer}, E { x : x 14} and F { x : x multiple of }, find n( E F ). is a A B 4 C 6 D 8 1 The Venn diagram in Diagram 1 shows the set U, set V and set W. Given that U V W. V U W 7 DIAGRAM 1 List all the elements of the set UWV' A {, 4, 9 } B {,, 4, 7 } C { 1, 5, 6, 9 } D { 1,,, 4, 5, 6, 7 } Determine the x-intercept for the straight line 5y x = 9 A - 5 B - C D 5 Diagram 14 shows the straight line UV in a Cartesian plane y V (, 10) O x U ( 1, ) DIAGRAM 14 The gradient of the straight line UV is A B 4 C 7 D 9

15 Given that the probability of choosing a man at random from a group of tourists is If there are 8 women in the group, find the total number of tourists in the group. A 16 B 44 C 56 D 64 5 A bus had 8 passengers which 8 are men. At a bus stop, 5 men boarded and women alighted from the bus. If a passenger is then chosen at random from the bus, find the probability that the passenger is a man. A 6 B 6 1 C 0 17 D Given that M, find matrix M A B C D h k 7 Given that of h and k. A h =, k = 6 B h = 6, k = C h = -, k = 6 D h = -6, k =, find the value

16 T varies directly as the square root of p and inversely as the square of g. This joint variation can be written as A B C T T T pg p g p g D T p g 9 It is given that y varies directly as the square root of x and y = 6 when x = 16. Calculate the value of x when y = 9. A 5 B 6 C 64 D Table shows the variables, h, m and p, which satisfy the relationship Find the value of y. A B 6 C 8 D 1 h 4 6 m p y TABLE m h. p

17 17 END OF QUESTION PAPER JAWAPAN KERTAS 1 EXCEL SPM D 1. D. B. B. C. A 4. C 4. C 5. A 5. A 6. B 6. B 7. A 7. C 8. B 8. D 9. C 9. D 10. B 0. A 11. C 1. A 1. D. B 1. A. A 14. C 4. B 15. D 5. C 16. B 6. D 17. D 7. C 18. D 8. D 19. A 9. B 0. A 40. A

SULIT 1449/1 ppr maths nbk SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN DIAGNOSTIK TINGKATAN

SULIT 1449/1 ppr maths nbk SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN DIAGNOSTIK TINGKATAN 449/ 449/ Matematik Kertas Oktober 007 4 jam SEKTOR SEKOLAH ERASRAMA PENUH AHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN IAGNOSTIK TINGKATAN 4 007 MATEMATIK Kertas Satu jam lima belas minit