1. ppr maths nbk
SEKTOR SEKOLAH BERASRAMA PENUH
BAHAGIAN SEKOLAH
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN AKHIR TAHUN
TINGKATAN 4, 2006
MARKING SCHEME
MATHEMATICS
PAPER 1 & PAPER 2
NOTE
This marking scheme serves as a guide only. Other method which are equivalent and
suitable may also be adapted and used in the awarding of marks.
Paper 1: 40 marks
x
Paper 2: Γ 60
100
Total Mark: P1 + P2
THANK YOU
This marking scheme consists of 7 printed pages
PEPERIKSAAN AKHIR TAHUN INGKATAN 4, SBP 2006
SKEMA JAWAPAN MATEMATIK KERTAS 1
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Q Answer Q Answer
1. B 21. D
2. B 22. D
3. C 23. D
4. A 24. A
5. A 25. B
6. C 26. C
7. A 27. B
8. A 28. D
9. A 29. D
10. B 30. C
11. C 31. D
12. C 32. C
13. D 33. C
14. A 34. C
15. B 35. A
16. C 36. C
17. D 37. B
18. C 38. B
19. D 39. A
20. C 40. A
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PEPERIKSAAN PERTENGAHAN TINGKATAN 4, SBP 2006
SKEMA JAWAPAN MATEMATIK KERTAS 2
Sub Full
Q Marking Scheme
mark mark
1 4p2 β 3p β 10 = 0 P1
(4p + 5)(p β 2) = 0 K1
5
p= β ,2 N1N1 4
4
2 p + 4q = 26 or equivalent K1
4p = 24 or equivalent K1
p=6 N1
q=5
N1 4
3 β PTQ or β QTP P2
9
tan β PTQ = K1
12
β PTQ = 36 52β or 36.9
0 0 N1 4
4 (a) β2 P1
(b) -2 = -2(4) + c K1
c=6 K1
y = β 2x + 6 N1
y-intecept = 6 P1 5
5 (a) 15 P1
or equivalent
50
(b) 1
Γ 50
5 K1
10 N1
(c) 10 + 10
60 K1
20
or equivalent N1 5
60
6 1 22
V= Γ Γ 8 Γ 12 Γ 15 K1
3 7
V = 480 N1
22 2
Γ 7 Γ h = 480 K1
7
240 4
h= or 3.12 N1
77
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Sub Full
Q Marking Scheme
mark mark
7 (a) 90 22 60 22
A1 = Γ Γ 14 Γ 14 and A2 = Γ Γ7Γ7 K1K1
360 7 360 7
A1 β A2 K1
1
128 N1
3
(b) 90 22 180 22
P1 = Γ 2 Γ Γ 14 or P2 = Γ2Γ Γ7 K1
360 7 360 7
P1 + P2 + 14 K1
58 N1 7
8 (a) Statement. False statement P1P1
(b) 3 is not a factor of 15. False P1P1
(c) Some triangles have a right angle P1 5
P P1
9 (a) Q
R
(b) P P2
Q
R
3
10 (a) 110 P1
(b) 20 P2
(c) 40 P2 5
11 (a) (i) β 0.91 P1
(ii) β0.42 β 1 K1
β1.42 N1
(c) (i) 20 N1
(ii) 5
13 N2 6
12 (a) (i) x
y= β2 K1
2
N1
y-intercept = β 2
(ii) 2m = 8 β 4 K1
m=2 N1
(iii) 1
mPQ= mRS = P1
2
1 K1
y β 5 = (x β 4)
2
2y = x + 6 N1
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Sub Full
Q Marking Scheme
mark mark
12 (b) (i) y β 10 = 2(x β 4) or y = 2x β 8 + 10 K1
y = 2x + 2 N1
(ii) (0, β8) P1
(iii) 10 + 8 K1
4β0 N1
9
12
2
13 (a) (i) 10 P1
(ii) Identify β EPF P1
7
Tan β EPF = K1
10
0
34 59β N1
(iii) β UQV P2
5 K1
(b) (i) Tan β PKM =
10
β PKM = 26.60 or 26057β N1
(ii) 10 tan 38o K1
h = 5 + 10 tan 38o K1K1
12.81 N1
14 (a) (i) (a) or P1
(b) or P1
(ii) 5β A βͺ B. N2
(iii) 3n 2 + 1, n = 2, 3, 4, 5, β¦ K1N1
(b) (i) 3 P1
(ii) 11 P1
(iii) 13 P2
(iv) 9 K1N1
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Sub Full
Q Marking Scheme
mark mark
15 (a) Distance Midpoint Frequency
(km)
11 β 20 15.5 5
21 β 30 25.5 3
31 β 40 35.5 3
41 β 50 45.5 4
51 β 60 55.5 10
61 β 70 65.5 8
71 β 80 75.5 4
81 β 90 85.5 1
91 β 100 95.5 2
Column 1 β P1
Column 2 β P1
Column 3 β P2
(b) 81 N1
15.5(5) + 25.5(3) + 35.5(3) + 45.5(4) + 55.5(10) + 65.5(8) + 75.5(4) + 85.5(1) + 95.5(2)
(c)
40
2100
or K2
40
52.5
N1
(d) Refer to the graph given
9 plotted points P2
Joining points P1
A straight line from point (5.5, 0) to point (15.5, 5) and 12
(95.5, 1) and (105.5, 0) P1