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Name : ………………..……………                                             Form : ………………………..……                          BAHAGIAN PE...
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Tip akhir add maths p1(a)

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Tip akhir add maths p1(a)

  1. 1. Name : ………………..…………… Form : ………………………..…… BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH DAN SEKOLAH KLUSTER KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERCUBAAN SELARAS SPM 2009 3472 / 1 ADDITIONAL MATHEMATICS Kertas 1 Ogos 2009 2 jam Dua jam Untuk Kegunaan Pemeriksa JANGAN BUKA KERTAS SOALAN INI Soalan Markah Markah SEHINGGA DIBERITAHU Penuh Diperolehi 1 2 1. Tulis nama dan tingkatan anda pada 2 4 ruangan yang disediakan. 3 4 2. Kertas soalan ini adalah dalam 4 3 dwibahasa. 5 2 6 3 3. Soalan dalam bahasa Inggeris 7 3 mendahului soalan yang sepadan 8 3 dalam bahasa Melayu. 9 4 10 3 4. Calon dibenarkan menjawab 11 3 keseluruhan atau sebahagian soalan 12 4 sama ada dalam bahasa Inggeris atau 13 3 bahasa Melayu. 14 3 15 3 5. Calon dikehendaki membaca 16 3 maklumat di halaman belakang kertas 17 4 soalan ini. 18 4 19 3 20 3 21 3 22 3 23 3 24 3 25 4 TOTAL 80 Kertas soalan ini mengandungi 18 halaman bercetak 3472/1 Dapatkan skema Jawapan di Laman 2009 Hak Cipta SBP [Lihat sebelah www.banksoalanspm.com SULIT
  2. 2. SULIT 2 3472/1 The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. ALGEBRA −b ± b − 4ac 2 log c b 1 x= 8 logab = 2a log c a 2 am × an = a m + n 9 Tn = a + (n-1)d 3 am ÷ an = a m - n n 10 Sn = [2a + ( n − 1) d ] 2 4 (am) n = a nm 11 Tn = ar n-1 a(r n − 1) a (1 − r n ) 5 loga mn = log am + loga n 12 Sn = = , (r ≠ 1) m r −1 1− r 6 loga = log am - loga n a n 13 S ∞ = , r <1 7 log a mn = n log a m 1− r CALCULUS dy dv du 1 y = uv , =u +v 4 Area under a curve dx dx dx b du dv = ∫ y dx or v −u a u dy 2 y= , = dx 2 dx , b v dx v = ∫ x dy a dy dy du 5 Volume generated 3 = × b dx du dx = ∫ π y 2 dx or a b ∫π x 2 = dy a GEOMETRY1 Distance = ( x 2 − x1 ) 2 + ( y 2 − y1 ) 2 5 A point dividing a segment of a line ⎛ nx + mx2 ny1 + my 2 ⎞ ( x,y) = ⎜ 1 , ⎟2 Midpoint ⎝ m+n m+n ⎠ ⎛ x1 + x 2 y + y2 ⎞ (x , y) = ⎜ , 1 ⎟ ⎝ 2 2 ⎠ 6 Area of triangle 13 r = x2 + y2 = ( x1 y 2 + x 2 y 3 + x3 y11 ) − ( x 2 y1 + x3 y 2 + x1 y 3 ) 2 xi + yj4 r= ˆ x2 + y2 3472/1 Dapatkan skema Jawapan di Laman 2009 Hak Cipta SBP [ Lihat sebelah www.banksoalanspm.com SULIT
  3. 3. SULIT 3 3472/1 STATISTIC ∑x ∑ w1 I1 1 x = 7 I= N ∑ w1 n! ∑ fx Pr = n 8 2 x = (n − r )! ∑f n! 9 n Cr = (n − r )!r! 3 σ = ∑ (x − x ) 2 = ∑x 2 −x _2 N N 10 P(A ∪ B) = P(A)+P(B)- P(A ∩ B) 4 σ= ∑ f ( x − x) 2 = ∑ fx 2 −x 2 11 P (X = r) = nCr p r q n − r , p + q = 1 ∑f ∑f 12 Mean µ = np ⎡1 ⎤ ⎢2 N −F⎥ 5 m = L+⎢ ⎥C ⎢ fm ⎥ 13 σ = npq ⎢ ⎣ ⎥ ⎦ x−μ 14 z= σ Q1 6 I= ×100 Q0 TRIGONOMETRY 1 Arc length, s = r θ 9 sin (A ± B) = sinA cosB ± cosA sinB 1 2 10 cos (A ± B) = cosA cosB m sinA sinB 2 Area of sector , L = rθ 2 3 sin 2A + cos 2A = 1 tan A ± tan B 11 tan (A ± B) = 1 m tan A tan B 4 sec2A = 1 + tan2A a b c 2 2 12 = = 5 cosec A = 1 + cot A sin A sin B sin C6 sin 2A = 2 sinA cosA 13 a2 = b2 + c2 - 2bc cosA 2 27 cos 2A = cos A – sin A = 2 cos2A - 1 1 = 1 - 2 sin2A 14 Area of triangle = absin C 2 2 tan A8 tan 2A = 1 − tan 2 A3472/1 Dapatkan skema Jawapan di Laman 2009 Hak Cipta SBP [ Lihat sebelah www.banksoalanspm.com SULIT
  4. 4. SULIT 4 3472/1 THE UPPER TAIL PROBABILITY Q(z) FOR THE NORMAL DISTRIBUTION N(0,1) KEBARANGKALIAN HUJUNG ATAS Q(z) BAGI TABURAN NORMAL N(0, 1) 1 2 3 4 5 6 7 8 9 z 0 1 2 3 4 5 6 7 8 9 Minus / Tolak0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 4 8 12 16 20 24 28 32 360.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 4 8 12 16 20 24 28 32 360.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 4 8 12 15 19 23 27 31 350.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 4 7 11 15 19 22 26 30 340.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 4 7 11 15 18 22 25 29 320.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 3 7 10 14 17 20 24 27 310.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 3 7 10 13 16 19 23 26 290.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 3 6 9 12 15 18 21 24 270.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 3 5 8 11 14 16 19 22 250.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 3 5 8 10 13 15 18 20 231.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 2 5 7 9 12 14 16 19 211.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 2 4 6 8 10 12 14 16 181.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 2 4 6 7 9 11 13 15 171.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 2 3 5 6 8 10 11 13 141.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 1 3 4 6 7 8 10 11 131.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 1 2 4 5 6 7 8 10 111.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0..0475 0.0465 0.0455 1 2 3 4 5 6 7 8 91.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 1 2 3 4 4 5 6 7 81.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 1 1 2 3 4 4 5 6 61.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 1 1 2 2 3 4 4 5 52.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 0 1 1 2 2 3 3 4 42.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 0 1 1 2 2 2 3 3 42.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0 1 1 1 2 2 2 3 32.3 0.0107 0.0104 0.0102 0 1 1 1 1 2 2 2 2 0.00990 0.00964 0.00939 0.00914 3 5 8 10 13 15 18 20 23 0.00889 0.00866 0.00842 2 5 7 9 12 14 16 16 212.4 0.00820 0.00798 0.00776 0.00755 0.00734 2 4 6 8 11 13 15 17 19 0.00714 0.00695 0.00676 0.00657 0.00639 2 4 6 7 9 11 13 15 172.5 0.00621 0.00604 0.00587 0.00570 0.00554 0.00539 0.00523 0.00508 0.00494 0.00480 2 3 5 6 8 9 11 12 142.6 0.00466 0.00453 0.00440 0.00427 0.00415 0.00402 0.00391 0.00379 0.00368 0.00357 1 2 3 5 6 7 9 9 102.7 0.00347 0.00336 0.00326 0.00317 0.00307 0.00298 0.00289 0.00280 0.00272 0.00264 1 2 3 4 5 6 7 8 92.8 0.00256 0.00248 0.00240 0.00233 0.00226 0.00219 0.00212 0.00205 0.00199 0.00193 1 1 2 3 4 4 5 6 62.9 0.00187 0.00181 0.00175 0.00169 0.00164 0.00159 0.00154 0.00149 0.00144 0.00139 0 1 1 2 2 3 3 4 43.0 0.00135 0.00131 0.00126 0.00122 0.00118 0.00114 0.00111 0.00107 0.00104 0.00100 0 1 1 2 2 2 3 3 4 1 ⎛ 1 ⎞ f (z) f ( z) = exp⎜ − z 2 ⎟ Example / Contoh: 2π ⎝ 2 ⎠ Q(z) ∞ If X ~ N(0, 1), then P(X > k) = Q(k) Q ( z ) = ∫ f ( z ) dz Jika X ~ N(0, 1), maka P(X > k) = Q(k) k O z Dapatkan skema Jawapan di Laman [Lihat sebelah 3472/1 www.banksoalanspm.com SULIT
  5. 5. For SULIT 5 3472/1examiner’s use only Answer all questions. 1 Diagram1 shows a function that maps set A to set B. Rajah 1 menunjukkan fungsi yang memeta set A ke set B. x f x−3 −2 −5 4 m 6 3 Set A Set B Diagram 1 Rajah 1 It is given that the function that maps set A to set B is f : x → x − 3 . Diberi bahawa fungsi yang memeta set A ke set B ialah f : x → x − 3 . Find Cari (a) the value of m , nilai m , −1 (b) the value of ff (3) . −1 nilai ff (3) . [2 marks] [ 2markah] Answer/Jawapan : (a) …………………….. 1 (b)......................................... 2 4 2 Given that g : x → , x ≠ 0 and the composite function gf : x → x + 2 , find x 4 Diberi g : x → , x ≠ 0 dan fungsi gubahan gf : x → x + 2 , cari x (a) f (x ) , (b) the value of x when fg ( x ) = 6 . nilai bagi x bila fg ( x ) = 6 . [4 marks] [4 markah] 2 Answer/Jawapan : (a) ………......…………….. 4 (b) ......…………………….. Dapatkan skema Jawapan di Laman [Lihat sebelah 3472/1 www.banksoalanspm.com SULIT
  6. 6. ForSULIT 6 3472/1 examiner’s use only 6 − 2x3 Given that f : x → 8 − px and g −1 : x → , 5 6 − 2x Diberi f : x → 8 − px dan g −1 : x → , 5 find cari (a) g (x ) , (b) the value of p if g ( x − 2) = f ( x ) . nilai p jika g ( x − 2) = f ( x ) . [4 marks] [4 markah] Answer/Jawapan : (a) ………......…………….. (b) ......…………………….. 3. 4 1 Given that x = 2 and x = − are the roots of the equation 3x + bx + c = 0 , find the value of 24 3 b and the value of c . 1 Diberi x = 2 dan x = − ialah punca-punca persamaan 3x + bx + c = 0 , cari nilai b 2 3 dan nilai c . [3 marks] [3 markah] 4 3 Answer/ Jawapan : b = ………… c = ……………… Dapatkan skema Jawapan di Laman [Lihat sebelah3472/1 www.banksoalanspm.com SULIT
  7. 7. For SULIT 7 3472/1examiner’s use only 5 Find the range of values of x for x 2 + 20 < 9 x . Cari julat nilai x bagi x 2 + 20 < 9 x . [2 marks] [2 markah] 5 Answer/Jawapan :........... …….......... 2 6 Given quadratic function f ( x ) = −[ ( x + 6 p ) 2 − 5 ] + q has a maximum point T ( −3n , 15n 2 ) . Diberi fungsi kuadratik f ( x ) = −[ ( x + 6 p ) 2 − 5 ] + q mempunyai titik maksimum. T ( −3n , 15n 2 ) . Express q in terms p. Nyatakan q dalam sebutan p. [3 marks] [3 markah] 6 Answer /Jawapan: ………………………... 3 . 1 7 Solve the equation 25 x + 2 = . 625 x 1 Selesaikan persamaan 25 x + 2 = . 625 x [3 marks] [3 markah] 7 3 Answer / Jawapan: …………….………… Dapatkan skema Jawapan di Laman [Lihat sebelah 3472/1 www.banksoalanspm.com SULIT
  8. 8. SULIT 8 3472/1 For examiner’s use only8 Solve the equation log 3 x − log 3 ( x − 2) = −1 . Selesaikan persamaan log 3 x − log 3 ( x − 2) = −1 . [3 marks] [ 3 markah] 8 Answer/Jawapan : ……..……...………..... 39 Given log 5 2 = h and log 5 3 = k , express log12 90 in terms of h and k . Diberi log 5 2 = h dan log 5 3 = k , ungkapkan log12 90 dalam sebutan h dan k . [4 marks] [4 markah] 9 Answer/ Jawapan : ……………...………................ 410 It is given an arithmetic progression is 5 , 7 , 9 , ………., 87. Find the number of terms of this progression. Diberi bahawa suatu janjang aritmetik ialah 5 , 7 , 9 , ………., 87 . Cari ilangan sebutan dalam janjang itu.. [3 marks] [ 3 markah] 10 Answer/Jawapan: …...…………..….................... 3 Dapatkan skema Jawapan di Laman [Lihat sebelah3472/1 www.banksoalanspm.com SULIT
  9. 9. SULIT 9 3472/1 Forexaminer’s use only 1 1 1 11 It is given the first three terms of a geometric series are + + + ……….Find the sum to 9 27 81 infinity of the series. 1 1 1 Diberi bahawa tiga sebutan pertama dalam siri geometri ialah + + + ……….Cari 9 27 81 hasiltambah hingga sebutan ketakterhinggaan siri itu.. [3 marks] [3 markah] 11 1 Answer/Jawapan: : ……………...………..... 3 12 The variables x and y are related by the equation y = px 2 + 2 x + 5q , where p and q are constants. Diagram 12 shows a straight line graph ( y − 2 x ) against x . 2 Pembolehubah x dan y dihubungkan oleh persamaan y = px 2 + 2 x + 5q , dengan keadaan p dan q ialah pemalar. Rajah 12 menunjukkan graph ( y − 2 x ) melawan x . 2 y − 2x (4,3) O x2 −5 Diagram 12 Rajah 12 Find the value of p and of q . Cari nilai p dan nilai q . [4 marks] 12 [ 4 markah] 4 Answer : p = ……….… q = …………………. Dapatkan skema Jawapan di Laman [Lihat sebelah 3472/1 www.banksoalanspm.com SULIT
  10. 10. SULIT 10 3472/1 For y x examiner’s13 Diagram 13 shows a straight line PQ with the equation − = 1. use only 8 6 y x Rajah 13 menunjukan garis lurus PQ yang mempunyai pesamaan − = 1. 8 6 y P• • Q O x Diagram 13 Rajah 13 Find the equation of the straight line which is perpendicular to PQ and passes through the point Q. Cari persamaan garislurus yang berserenjang dengan PQ dan melalui titik Q. [ 3 marks] [3 markah] 13 3 Answer/Jawapan : ……….……………………. Dapatkan skema Jawapan di Laman [Lihat sebelah3472/1 www.banksoalanspm.com SULIT
  11. 11. Forexaminer’s SULIT 11 3472/1 use only 14 Diagram 14 shows A,B and C are three points on a straight line . Rajah 14 menunjukkan A , B dan C merupakan tiga titik yang terletak di atas garis lurus. y • B( x , y ) • C (2,3) • A(0,2) O x Diagram 14 Rajah 14 It is given that 5AC = AB . Find the coordinates of B. Diberi 5AC = CB. Cari koordinat B. [ 3 marks] [ 3 markah] 14 Answer/Jawapan : ………..……….. 3 → → 15 Given PQ = 3 x − 2 y and QR = (1 − h) x + 4 y . The points P , Q and R are collinear. ~ ~ → ~ → ~ Diberi PQ = 3 x − 2 y dan QR = (1 − h) x + 4 y . Titik-titik P , Q dan R adalah segaris. ~ ~ ~ ~ Find the value of h . Cari nilai h . [ 3 marks] [3 markah] 15 3 Answer/Jawapan :…………………..….. Dapatkan skema Jawapan di Laman [Lihat sebelah 3472/1 www.banksoalanspm.com SULIT
  12. 12. SULIT 12 3472/1 For examiner’s use only16 Solution by graph is not accepted for this question. Penyelesaian secara graf tidak diterima bagi soalan ini. → → Diagram 16 shows OABC is a parallelogram such that OA = 4i + 3j and OB = 11i + 5j, Rajah 16 menunjukan OABC ialah sebuah segiempat selari dengan keadaan → OA = 4i + 3j → dan OB = 11i + 5j, y B C A O x Diagram 16 Rajah 16 → Find the unit vector in the direction of OC . → Cari vektor unit pada arah OC . [3 marks] [ 3 markah] 16 Answer/Jawapan:…………………………..… 3 Dapatkan skema Jawapan di Laman [Lihat sebelah3472/1 www.banksoalanspm.com SULIT
  13. 13. SULIT 13 3472/1 Forexaminer’s use only 17 Solve the equation 3 cos 2 x + sin 2 x = 0 for 0o ≤ x ≤ 360o Selesaikan persamaan 3 kos 2 x + sin 2 x = 0 bagi 0 o ≤ x ≤ 360 o [4 marks] [4 markah] 17 Answer /Jawapan : ………..……….……… 4 18 Diagram 18 shows a semicircle PQR with center O. Rajah 18 menunjukkan sebuah semibulatan PQR berpusat O. Q θ P O R Diagram 18 Rajah 18 It is given that the arc length PQ is 6.5 cm and the radius of the semicircle is 5 cm. Diberi bahawa panjang lengkuk PQ ialah 6.5 cm dan jejari semibulatan ialah 5 cm. [ Use / Guna π = 3.142 ] Find Cari (a) the value of θ in radian , nilai θ dalam radian, (b) area , in cm2 , of sector QOR. luas , dalam cm 2, sektor QOR. [4 marks] [4 markah] 18 3 Answer / Jawapan : (a) …..…….................. (b)................................. Dapatkan skema Jawapan di Laman [Lihat sebelah 3472/1 www.banksoalanspm.com SULIT
  14. 14. SULIT 14 3472/1 For examiner’s19 Given that f ( x) = x 3 (5 − 3 x) 2 , find f (2). use only Diberi f ( x) = x 3 (5 − 3 x) 2 , cari f (2). [3 marks] [ 3 markah] 19 0 Answer/Jawapan : ......................................... 3 220 Two variables P and x are related by the equation P = 3 x + . Given x increases x at a constant rate of 4 units per second when x = 2, find the rate of change of P. 2 Dua pembolehubah P dan x dihubungkan dengan persamaan P = 3 x + . x Diberi x bertambah dengan kadar malar 4 unit sesaat apabila x = 2, cari kadar perubahan bagi P. [3 marks] [3 markah] 20 Answer / Jawapan : …...…………..……..…... 3 Dapatkan skema Jawapan di Laman [Lihat sebelah3472/1 www.banksoalanspm.com SULIT
  15. 15. SULIT 15 3472/1 For 3 h dyexaminer’s 21 Given y = and = g (x) , find the value of h if ∫ [ g ( x) + 1]dx = 7. use only (2 x − 5) 3 dx 2 3 h dy Diberi y = dan = g (x) , cari nilai bagi h jika ∫ [ g ( x) + 1]dx = 7. (2 x − 5) 3 dx 2 [3 marks] [3 markah ] 21 Answer/Jawapan: ..…………........…….. 3 22 The mean of a set of data 2m – 3 , 8 , m+1 is 7. Min bagi set data 2m – 3 , 8 , m+1 ialah 7. Find Cari (a) the value of m , nilai m, (b) the new mean if each of the data multiflied by 3. Cari min yang baru jika setiap data didarabkan dengan 3. [3 marks] [ 3 markah] 22 Answer /Jawapan (a) ..…………........……........ 3 Dapatkan skema Jawapan di Laman [Lihat sebelah 3472/1 www.banksoalanspm.com SULIT
  16. 16. SULIT 16 3472/1 (b).............................................. For23 Bag A contains 1 green pen, 2 red pens and 3 blue pens. Bag B contains 2 black erasers examiner’s and 3 white erasers. Bag C contains 6 gift cards labeled 1, 2, 3, 4, 5 and 6. An item is use only picked randomly from each bag. Beg A mengandungi 1 pen hijau, 2 pen merah dan 3 pen biru. Beg B mengandungi 2 pemadam hitam dan 3 pemadam putih. Beg C mengandungi 6 kad hadiah yang dilabel 1, 2, 3, 4, 5 dan 6. Satu item diambil secara rawak daripada setiap beg. Find the probability of getting a blue pen, a black eraser and a gift card with a number less than 3. Cari kebarangkalian mendapat satu pen biru, satu pemadam hitam dan satu kad hadiah yang berlabel nombor kurang daripada 3. [3 marks] [3 markah] 23 Answer /Jawapan: ...…..……..……..….... 3 224 The probability that it will rain on a particular day is . 5 If X is the number of rainy days in a week, find 2 Kebarangkalian bahawa hujan akan turun pada sebarang hari ialah . 5 Jika X ialah bilangan hari hujan turun dalam seminggu, cari (a) the mean of the distribution of X, min bagi taburan X, (b) the standard deviation of the distribution of X. sisihan piawai bagi taburan X. [3 marks] [ 3 markah] 24 Answer/ Jawapan: (a)………..…………….. Dapatkan skema Jawapan di Laman 3 [Lihat sebelah3472/1 www.banksoalanspm.com SULIT
  17. 17. SULIT 17 3472/1 For (b) ………………….….examiner’s use only 25 Diagram 25 shows a standardized normal distribution graph. Rajah 25 menunjukkan satu graf taburan normal piawai. f(z) 0.7286 z -k O k Diagram 25 Rajah 25 The probability represented by the area of the shaded region is 0.7286. Kebarangkalian yang diwakili oleh luas kawasan berlorek ialah 0.7286. (a) Find the value of k, Cari nilai k, (b) X is a continuous random variable which is normally distributed with a mean of μ and a standard deviation of 8. Find the value of μ if X = 70 when the z-score is k. X ialah pembolehubah rawak selanjar bertaburan secara normal dengan min μ dan sisihan piawai 8. Cari nilai μ jika X = 70 apabila skor-z ialah k. [4 marks] [4 markah] 25 4 Answer/Jawapan : (a)......……...…..……..…... (b) ...…………..……..…. Dapatkan skema Jawapan di Laman [Lihat sebelah 3472/1 www.banksoalanspm.com SULIT
  18. 18. SULIT 18 3472/1 END OF THE QUESTION PAPER INFORMATION FOR CANDIDATES MAKLUMAT UNTUK CALON 1. This question paper consists of 25 questions Kertas soalan ini mengandungi 25 soalan 2. Answer all questions. Jawab semua soalan 3. Write your answers in the spaces provided in the question paper. Tulis jawapan anda dalam ruang yang disediakan dalam kertas soalan. 4. 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. 5. If you wish to change your answer, cross out the answer that you have done. Then write down the new answer. Sekiranya anda hendak menukar jawapan, batalkan jawapan yang telah dibuat. Kemudian tulis jawapan yang baru. 6. The diagrams in the questions provided are not drawn to scale unless stated. Rajah yang mengiringi soalan tidak dilukis mengikut skala kecuali dinyatakan. 7. The marks allocated for each question are shown in brackets. Markah yang diperuntukkan bagi setiap soalan ditunjukkan dalam kurungan. 8. A list of formulae is provided on pages 3 to 5. Satu senarai rumus disediakan di halaman 3 hingga 5. 9. A booklet of four-figure mathematical tables is provided. Sebuah buku sifir matematik empat angka disediakan. 10. You may use a non-programmable scientific calculator. Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogram. 11. Hand in this question paper to the invigilator at the end of the examination. Serahkan kertas soalan ini kepada pengawas peperiksaan di akhir peperiksaan. Dapatkan skema Jawapan di Laman [Lihat sebelah3472/1 www.banksoalanspm.com SULIT

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