SKEMA PRAKTIS BESTARI PROJEK JAWAB UNTUK JAYA (JUJ) 2014 MATHEMATICS. Kertas 1 (SET 2) PERATURAN PEMARKAHAN UNTUK KEGUNAAN GURU MATA PELAJARAN SAHAJA

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19/1(GMP) Mathematics Kertas 1 Peraturan Pemarkahan 01 19/1(GMP) SKEMA PRAKTIS BESTARI PROJEK JAWAB UNTUK JAYA (JUJ) 01 MATHEMATICS Kertas 1 (SET ) PERATURAN PEMARKAHAN UNTUK KEGUNAAN GURU MATA PELAJARAN SAHAJA Peraturan pemarkahan ini mengandungi halaman bercetak [Lihat halaman sebelah 19/1(GMP) 01 Hak Cipta JUJ Pahang

SKEMA JUJ 01 KERTAS 1 NO SOALAN JAWAPAN NO SOALAN JAWAPAN 1. D 1. C. B. A. B. D. B. B 5. A 5. C 6. D 6. D 7. A 7. B 8. C 8. B 9. B 9. A 10. C 0. B 11. A 1. D 1. B. C 1. D. A 1. C. B 15. B 5. D 16. C 6. B 17. D 7. A 18. B 8. C 19. B 9. B 0. C 0. D

19/(GMP) Mathematics Kertas SET Peraturan Pemarkahan 01 19/(GMP) SKEMA PRAKTIS BESTARI PROJEK JAWAB UNTUK JAYA (JUJ) 01 MATHEMATICS Kertas SET PERATURAN PEMARKAHAN UNTUK KEGUNAAN GURU MATA PELAJARAN SAHAJA Peraturan pemarkahan ini mengandungi 17 halaman bercetak [Lihat halaman sebelah 19/(GMP) 01 Hak Cipta JUJ Pahang

19/(GMP) 1(a) P 19/(GMP) 01 Hak Cipta JUJ Pahang

19/(GMP) 1x + y = 6 or x 6y 8 or equivalent Note Attempt to equate the coefficient one the unknowns, award 1y 1x 5 or 9 or equivalent OR x 16 y or y x 16 or equivalent () Note Attempt to make one of the unknowns as the subject, with two terms on other side, award 1y OR 9 or 1x 5 or equivalent () x y 1 1 ( ) (1 ) 1 1 9 16 or equivalent (K) Note Attempt to write matrix equation, award x y 6 x If y 6 as final answer, award 19/(GMP) 01 Hak Cipta JUJ Pahang [ Lihat halaman sebelah

19/(GMP) x 5x 6 0 ( x 1)( x 6) 0 or equivalent OR ( 5) ( 5) (1)( 6) x or equivqlent () (1) x x 6 1 1. Accept without = 0. Accept three terms on the same side, in any order. Accept correct answers from three correct terms without factorization for Kk. (a) JFG or GFJ tan = or equivalent 10 1.80 o or 1 o 8 19/(GMP) 01 Hak Cipta JUJ Pahang

5 19/(GMP) 5(a) mps m - QR ( )() c or y ( )( x ) or equivalent Note : *( )() c or y *( )( x ) or equivalent award y x or equivalent ( 0) x x 5 6(a) 1 v 1816 56 v 1 1 56 580 118 1 18 (c) 580 0 1.5 6 19/(GMP) 01 Hak Cipta JUJ Pahang [Lihat halaman sebelah

6 19/(GMP) 7(a) False/Palsu (i) If x y > 0 then x > y Jika x y > 0 maka x > y (ii) If x > y then x y > 0 Jika x > y maka x y > 0 (c) x 5 8(a) 1 5 9 P 9 5 x 6 y x y 1 (9)() ( 5)( ) 5 6 9 x y 11 1 * inverse 5 1. Do not accept matrix * inverse 1 0. matrix 0 1 or x 11. as final answer, award. y 1. Do not accept solutions solved not using matrix method. 6 19/(GMP) 01 Hak Cipta JUJ Pahang

7 19/(GMP) 9 7 7 1 7 1 7 7 7 7 7 1-1 7 7 7 7 590 1796 or or 1796.67 10(a) 10 60 7 or 1 60 7 60 7 10 60 7 + 1 + 7 + 7 + 1 60 7 60 7 1 57 or 17 or 57. 10 60 7 7 or 60 60 7 1 or 180 60.5 7 10 60 1 7 7 + or 60 60 7 59 or 1.75 1 180.5 60 7 1. Accept for mark.. Accept correct value from incomplete substitution for K mark.. Correct answer from incomplete working, award Kk 6 19/(GMP) 01 Hak Cipta JUJ Pahang [Lihat halaman sebelah

8 19/(GMP) 11 (a) Sampel space, S = {M, H, 7M, 7H, 0M, 0H } Note : Allow one mistake in listing the sample space for { M, 7M } 6 or 1 { M, H, 7H, 0H } or 6 P 1. Accept answer without working for 6 19/(GMP) 01 Hak Cipta JUJ Pahang

9 19/(GMP) 1(a) 5-10 Graph Axes drawn in the correct directions with uniform scale for x and y 5 All 7 points and * point correctly plotted or curve passes through all the points for x and y 5 K A smooth and continuous curve without any straight line passes through all 9 correct points using the given scale for x and y 5 1. 7 or 8 points plotted correctly, award. Ignore curve out of range. (c)(i) 8 y 6 (ii). x. (d) Identify equation y = -10x - 5 Straight line y 10x 5 correctly drawn Values of x :. x. 0.85 x 0.75 1. Allow N marks if values of x are shown on the graph.. Values of x obtained by calculation, award N0 1 19/(GMP) 01 Hak Cipta JUJ Pahang [ Lihat halaman sebelah

10 19/(GMP) y 50 0 0 0 10 - - - - 1 0 1 x -10-0 -0-0 - 50 19/(GMP) 01 Hak Cipta JUJ Pahang

11 19/(GMP) 1(a)(i) (8, ) (ii) ( 8,0 ) (, ) or point (8,0) marked or point (, ) marked, award P (i)(a) Rotation 90 0 clockwise at centre ( 5, 1 ) P 1. Rotation 90 0 clockwise award P or. Rotation at centre ( 5, 1 ) award P or. Rotation award Enlargement with scale factor at centre L or ( 7, 1 ) 1. Enlargement centre L or ( 7, 1 ) or Enlargement scale factor, award P or. Enlargement, award. P (ii) x 5.5-5.5 K 76.5 8 1 19/(GMP) 01 Hak Cipta JUJ Pahang [ Lihat halaman sebelah

1 19/(GMP 1(a) I II III IV V VI VII Class Interval Selang Kelas Midpoint Titik tengah Frequency Kekerapan 0 9.5 0 9.5 6 50 59 5.5 7 50 69 6.5 10 70 79 7.5 8 80 89 8.5 95 99 9.5 Midpoint : (II to VII) frequency : (II to VIII) Allow one mistake frequency for. P * * * * * * *.5( ).5( 6) 5.5( 7) 6.5( 10) 7.5( 8) 6( ) 67( ) 0 6.5 K (c) Histogram Axes drawn in correct directions with uniform scale for 9.5 x 99.5 and 0 y 10 Horizontal axes labeled with values of upper boundary or class interval * 7 bar drawn using upper boundary or class interval. K * 5 or * 6 bar drawn correctly, award (d) Correct bar drawn 15 Do not accept answer without histogram 1 1 19/(GMP) 01 Hak Cipta JUJ Pahang

1 19/(GMP) 10 y 9 8 7 6 5 1 0 9.5 9.5 9.5.59.9 69.5 79.5 89.5 99.5 x 19/(GMP) 01 Hak Cipta JUJ Pahang

1 19/(GMP 15(a) V W P Q Correct shape with rectangles PQWV. All solid lines. WQ < QP < PV Measurements correct to ± 0. cm (one way) and all angles at vertices = 90 o ± 1 o [ Lihat halaman sebelah 19/ 01 Hak Cipta JUJ Pahang

15 19/(GMP (i) V U W K Correct shape VWKU and semicircle. All solid lines. WK > KU = WV Measurements correct to ± 0. cm (one way) and V, W, K, U = 90 o ± 1 o N 19/ 01 Hak Cipta JUJ Pahang

16 19/(GMP (ii) V L N M U W K Q T R Correct shape with rectangles LMUN, VUKW and WKRQ. All solid lines. Ignore line NT N and T joined with dashed line to form rectangle NTRU N and T lies between VQ and UR. QR = WK = VU > LM > KR = WQ > KU = VW > UM = NL Measurements correct to ± 0. cm (one way) and All angles at vertices of rectangles = 90 o ± 1 o N 5 1 [ Lihat halaman sebelah 19/ 01 Hak Cipta JUJ Pahang

17 19/(GMP 16(a) ( 60º N, 10º E ) P 10º E award P OR 10 o E, award 60 x 60 K 600 60 or 180 60 60 seen, award (c)(i) (5 + 0 ) x 60 cos 60 K 760 Note : ( 5 + 0 ) or cos 60 seen award (ii) ( 0 x 60 ) 50 K 7. Note : ( *0 x 60 ) ) 50 award 1