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SEKOLH ERSRM PENUH HGIN PENGURUSN SEKOLH ERSRM PENUH / KLUSTER KEMENTERIN PELJRN MLYSI PEPERIKSN PERCUN SELRS SP 008 1449/1 SIJIL PELJRN MLYSI MTHEMTICS Kertas 1 Ogos 1¼ jam Satu jam lima belas minit

1 SEKOLH ERSRM PENUH HGIN PENGURUSN SEKOLH ERSRM PENUH / KLUSTER KEMENTERIN PELJRN MLYSI PEPERIKSN PERCUN SELRS SP /1 SIJIL PELJRN MLYSI MTHEMTICS Kertas 1 Ogos 1¼ jam Satu jam lima belas minit JNGN UK KERTS SOLN INI SEHINGG IERITHU 1. Kertas soalan ini adalah dalam ahasa Inggeris.. Calon dikehendaki membaca maklumat di halaman belakang kertas soalan ini. Kertas soalan ini mengandungi 6 halaman bercetak. 1449/1 008 Hak Cipta Sektor SP 1

2 MTHEMTICL FORMULE The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. RELTIONS 1 a m x a n = a m+ n a m a n = a m n 3 ( a m ) n = a mn 4-1 = 1 ad bc d c b a 5 istance = ( x x ) ( y y ) 1 1 x1 x y1 y 6 Midpoint, ( x, y ) =, 7 verage speed = distance travelled time taken 8 Mean = 9 Mean = sum of data number of data sum of (class mark frequency) sum of frequencies 10 Pythagoras Theorem c = a + b 11 P ( ) = n( ) n( S) 1 P ( ) = 1 P() 13 m = y x y x m = y-intercept x-intercept 1449/1 008 Hak Cipta Sektor SP

3 SHPES N SPCE 1 rea of trapezium = 1 sum of parallel sides height Circumference of circle = d = r 3 rea 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 8 Volume of cone = 3 1 r h 9 Volume of sphere = 3 4 r 3 10 Volume of right pyramid = 3 1 base area height 11 Sum of interior angles of a polygon = ( n ) arc length circumference of circle angle subtended at 360 centre 13 area of sector angle subtended at area of circle P' Scale factor, k = P centre 15 rea of image = k area of object 1449/1 008 Hak Cipta Sektor SP 3

4 nswer all questions. 1 Round off correct to three significant C Evaluate = C Find the value of C (410 ) 3 = 1449/1 008 Hak Cipta Sektor SP 4

5 4 Express as a number in base C Evaluate C In iagram 1, PRS and QRU are straight lines. U P 40 o Q 65 o R 160 o S iagram 1 x o T Find the value of x. C 95 o 100 o 105 o 110 o 1449/1 008 Hak Cipta Sektor SP 5

6 7 In iagram, PQRSUV is a regular hexagon. PUT and RST are straight lines. P V Q U y o x o T R S iagram 1 Find the value x + y C 170 o 180 o 190 o 00 o 8 iagram 3 shows a circle with centre O and TPQ as a tangent to the circle at P. Given that SRQ is a straight line. T P S 160 o O x o R 30 o Q iagram 3 Find the value of x C /1 008 Hak Cipta Sektor SP 6

7 9 iagram 4 shows five quadrilaterals. y 6 4 P C O x 4 P iagram 4 Which of the quadrilateral,, C or is the image of quadrilateral P under a rotation of 90 anticlockwise about the center (4, 0)? 1449/1 008 Hak Cipta Sektor SP 7

8 10 iagram 5 shows a triangle JKL. y 6 4 L K 4 O 4 J x iagram 5 n enlargement maps JKL onto JQR. Given that the coordinates of Q are (m, 0). Which of the following information relates correctly to the transformation? Value of m Coordinates of point R (, 8) 1 (1, 6) C 1 (, 5) 0 (, 6) 1449/1 008 Hak Cipta Sektor SP 8

9 11 In iagram 6, O is the center of circle CE. C O (1, 0) E (0., 0.7) iagram 6 Find the value of sin C /1 008 Hak Cipta Sektor SP 9

10 1 iagram 7 shows a rectangle JKLM. K 4 cm 9 cm J L N M iagram 7 Given that the ratio of LN : LM = : 3. Calculate the value of cos LNJ. 3 5 C iagram 8 shows the graph of y 5x n. y (, s) O iagram 8 x Find the value of s C /1 008 Hak Cipta Sektor SP 10

11 14 Points J and K lie on a horizontal plane. The bearing of J from K is 30. Which of the following diagram shows the positions of J and K? North J 50 K J C North K J 50 J North 1449/1 008 Hak Cipta Sektor SP K J

12 15 Which of the following graphs represents a 0 and c 0. y ax c, where a and c are constants, y O x C y O x y O x 1449/1 008 Hak Cipta Sektor SP 1

13 16 iagram 9 shows a cuboid with a horizontal base PQRS. W V T U 13 cm P S 1 cm Q R 5 cm iagram 9 State the angle between the planes WQV and WSRV. C QVR WQS VQR WQP 17 iagram 10 shows a right prism with rectangular base PQRS. Trapezium PQUT is the uniform cross-section of the prism. W V T U S R P Q iagram 10 Identify the angle between the line RT and the plane TUQP. C TRP RTS QRT QTR 1449/1 008 Hak Cipta Sektor SP 13

14 18 iagram 11 shows Nordin observing a kite which is flying vertically above point L. The horizontal distance between him and point L is 0 m. h 1.5 m 0 m iagram 11 L Given that the angle of elevation of the kite from Nordin is 15. Find the vertical height, h, in m, of the kite C ( p) 19 Express 1 p 4 p as a single fraction in its simplest form. 10 p 9 6 p p 9 6 p 3p 3p 4 p 3 3p C 1449/1 008 Hak Cipta Sektor SP 14

15 0 ( x y) ( x y ) C xy y xy y xy y 1 Given that h 1 k express h in the terms of k. k 4 4 k C k k 1 Given that h 7 h 1 calculate the value of h C /1 008 Hak Cipta Sektor SP 15

16 3 Given that x 6 ( ) (4 ). Find the value of x C q q 3q 3 C 5 6q 5 3q 5 7q 5 54q 5 List all the integers x which satisfy both the inequalities x 3 x 3 and x 9. 7, 8, 9 6, 7, 8 C 8, 9, 10 5, 6, /1 008 Hak Cipta Sektor SP 16

17 6 iagram 1 shows an incomplete line graph representing the number of car sold in the first six months of the year. The profit gained in March is RM Number of calculator Jan Feb Mar pr May June Months iagram 1 If the total profit for the first six months is RM , find the number of car sold in pril C /1 008 Hak Cipta Sektor SP 17

18 7 Table 1 shows the number of pencils brought by a group of students to school. Number of pencils Frequency Table 1 The difference between the mode and the median of the data is 0 4 C iagram 13 shows the universal set, R S T, n( ) 35, n( S) 17, n( R S) 9 and n( S T ) 3. S R T Find n( R T ) iagram C /1 008 Hak Cipta Sektor SP 18

19 9 iagram 13 is a Venn diagram which shows the number of element of set P, Q and R. P 4 3 x Q R iagram 13 It is given that the universal set P Q R and n( Q) n( P R), find the value of x C iagram 14 is a Venn diagram which shows the universal set P Q R. P Q R The shaded region in the Venn iagram represent the set ( P Q) ( Q R) ( P Q) ( Q R) C ( P Q) ( Q R) ( P Q) ( Q R) iagram /1 008 Hak Cipta Sektor SP 19

20 31 In iagram 15, PQ = 5 units and OQ = OR. P y O Q 3 x R iagram 15 The equation of QR is 1 3 y x 3 y x C 1 y x y x 1449/1 008 Hak Cipta Sektor SP 0

21 3 In iagram 16, OEFG is a parallelogram. y G F (4, 10) O E iagram 16 x If the equation of the line OE is 1 y x, the y-intercept of line FG is C Given set M = {8, 1, 3, 39, 4, 51, 61, 73, 87}. n element is chosen at random from set M. State the probability of choosing not a prime number? C /1 008 Hak Cipta Sektor SP 1

22 34 box contains 36 yellow marbles and a number of red marbles. marble is picked at random from the box. Probability of getting red marble is 9 5. nother 9 red marbles were added into the box. If a marble is picked at random from the box, what is the probability of getting red marble? C C Given p p 3 6 = 0 0, calculate the value of p /1 008 Hak Cipta Sektor SP

23 10 C In iagram 17, UGRS is Greenwich Meridian. O is the centre of the earth. POQ and UOS are the diameters of the earth. U G P O Q R Given PR = 3RQ. Find the longitude of P. S iagram 17 C 10W 10E 135W 135E 38 In iagram 18, N is the North Pole, S is the South Pole and NOS is the axis of the earth. PRQ is the equator and NGS is Greenwich Meridian. 1449/1 008 Hak Cipta Sektor SP N 3

24 T G P 80 O 40 Q R S iagram 18 The position of point T is C (40N, 80E) (40N, 100E) (50N, 80E) (50N, 100E) 39 It is given that y varies inversely as x n and y = 8 when x =1. Calculate the value of n when y = 7 and x = 3. 3 C /1 008 Hak Cipta Sektor SP 4

25 40 Table shows some values of p, q, and r. p 3 1 q m r 8 Table q Given that p, calculate the value of m. r 1 C EN OF QUESTION PPER 1449/1 008 Hak Cipta Sektor SP 5

26 INFORMTION FOR CNITES 1. This question paper consists of 40 questions.. nswer all questions. 3. Each question is followed by four alternative answers,,, C or. For each question, choose one answer only. lacken your answer on the objective answer sheet provided. 4. If you wish to change your answer, erase the blackened mark that you have done. Then blacken the space for the new answer. 5. The diagrams in the questions provided are not drawn to scale unless stated. 6. list of formulae is provided on page to You may use a non-programmable scientific calculator. 1449/1 008 Hak Cipta Sektor SP 6

27 1449/1 1449/1 Matematik Kertas1 Peraturan Pemarkahan Ogos 008 SEKOLH ERSRM PENUH HGIN PENGURUSN SEKOLH ERSRM PENUH / KLUSTER KEMENTERIN PELJRN MLYSI PERTURN PEMRKHN PEPERIKSN PERCUN SPM SELRS SP THUN 008 MTEMTIK KERTS /1

28 QUESTION NSWER QUESTION NSWER C 3 4 C C 8 C 8 C C 3 C C 34 C 15 C C C

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