1. PPSMI ASSESMENT 2006 Panel Pakar Runding GC MMMT
MATHEMATICS 1449/2
FORM 4
No Marking Scheme Marks
1. a) ∈
Q P1
P
b. ∈ P P2
Q R
3
2. 1 x 15 x 15 x 21 K1
3
22 x 7 x 7 x 9 K1
7 2 2
1 x 15 x 15 x 21 + 22 x 7 x 7 x 9 K1
3 7 2 2
1228.5 N1
4
3. 4m + 2n = 6 @ 6m + 3n = 9 K1
5n = -5 @ 10m = 20 K1
n = -1 , m = 2 N1 N1
4
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2. PPSMI ASSESMENT 2006 Panel Pakar Runding GC MMMT
MATHEMATICS 1449/2
FORM 4
No Marking Scheme Marks
4. a) 270o x 2 x 22 x 21 @ 90o x 2 x 22 x 14 K1
360o 7 360 o 7
270o x 2 x 22 x 21 + 90o x 2 x 22 x 14 + 7 + 7 K1
360o 7 360 o 7
135 N1
b) 270o x 22 x 21 x 21 @ 60o x 22 x 14 x 14 K1
360o 7 360 o 7
270o x 22 x 21 x 21  60o x 22 x 14 x 14 K1
360o 7 360 o 7
936.8 N1
6
5. 2x2  5x + 3 = 0 K1
( x - 1 ) ( 2x - 3 )= 0 K1
x = 1, 3 N1 N1
2
4
6. a) Statement P1
b) If 4k < 20, then k < 5
If k < 5, then 4k < 20 P2
c) n + 1 is not an even number P2
5
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3. PPSMI ASSESMENT 2006 Panel Pakar Runding GC MMMT
MATHEMATICS 1449/2
FORM 4
No Marking Scheme Marks
7. a) y = 4 P1
b) Identify mRS = 3 P1
y − 20 K1
= 3 or equivalent
x − 13
y = 3x − 19 or equivalent N1
c) 0 = 3x − 19
19 1 K1
x= or 6 N1
3 3
8. < AGD P1
Tan θo = 6 K2
5
θo = 50.19 o @ 50° 11’ N1
4
9. a) 6 P2
11
b) 1 = 12 K2
3 x
x = 36 N1
5
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4. PPSMI ASSESMENT 2006 Panel Pakar Runding GC MMMT
MATHEMATICS 1449/2
FORM 4
No Marking Scheme Marks
10. a) mRQ = 5 P1
3
b) 10 = 5 ( 3) + c K1
3
c = 5 K1
y = 5 x+5 N1
3
c) 0 = 5 x + 5 K1
3
x = -3 N1
6
11. a) i. > P1
ii. < P1
b) PQRST is a pentagon P2
c) 3n2 where n = 0, 1, 2, 3, … P2
6
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5. PPSMI ASSESMENT 2006 Panel Pakar Runding GC MMMT
MATHEMATICS 1449/2
FORM 4
No Marking Scheme Marks
12. a) i. m OA = 4 P1
ii. c = -18 K1
y = 4x – 18 N1
iii. mAB = 2 K1
5
c = 18 N1
5
b) i. Identify ∠ NLJ P1
JL = 12 2 + 12 2 or 16 ⋅ 97 K1
tan θo = 5 K1
16.97
θo = 16.42o or 16o 25’ N1
ii. Identify ∠NMJ P1
tan θo = 5 K1
13
θo = 22⋅62o or 22o 37’ N1
12
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6. PPSMI ASSESMENT 2006 Panel Pakar Runding GC MMMT
MATHEMATICS 1449/2
FORM 4
No Marking Scheme Marks
13. a) i. { 2, 3, 5, 6, 8, 9, 11, 12 } P1
ii. { 2, 6, 8, 12 } P1
4 1
iii. @ P2
8 2
6 3
iv. @
10 5
P2
b) i. 60o x 2 x 22 x 28
360o 7
K1
60o x 2 x 22 x 28 + 28 + 14 + 14 + 14 +14
360o 7
K1
113 1
3
N1
ii. 60o x 22 x 28 x 28 @ 150o x 22 x 14 x 14
360o 7 360o 7
K1
60o x 22 x 28 x 28 + 14 x 14 - 150o x 22 x 14 x 14
360o 7 360o 7
K1
350
N1
12
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7. PPSMI ASSESMENT 2006 Panel Pakar Runding GC MMMT
MATHEMATICS 1449/2
FORM 4
No Marking Scheme Marks
14. a) 3n2 – 11n – 4 = 0 K1
( n – 4 ) ( 3n + 1 ) = 0 K1
n = 4, - 1 N1, N1
3
2
b) x – 2x + 24 = 0 K1
( x – 6 ) ( x + 4 )= 0 K1
x = 6, - 4 N1, N1
c) 1 x 22 x 7 x 7 x 10 K1
2 7
1 x 1 x 22 x 7 x 7 x 5 K1
2 3 7
1 x 22 x 7 x 7 x 10 + 1 x 1 x 22 x 7 x 7 x 5 K1
2 7 2 3 7
898 1 N1
3
15. a).
Age Frequency Mid point Upper boundary
(I) ( II ) ( III )
1-5 1 3 5.5
6-10 4 8 10.5
11-15 9 13 15.5
16-20 9 18 20.5
21-25 5 23 25.5
26-30 2 28 30.5
All values in column ( I ) correct P2
All values in column ( II ) correct P1
All values in column ( III ) correct P1
b) Mean= 1(3) + 4(8) + 9(13) + 9(18) + 5(23) + 2(28) or 485 K2
30 30
= 16.17 N1
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8. PPSMI ASSESMENT 2006 Panel Pakar Runding GC MMMT
MATHEMATICS 1449/2
FORM 4
No Marking Scheme Marks
c) Histogram
Using the uniform scales for 0.5 ≤ x ≤ 30.5 and 0 ≤ y ≤ 9 K1
6 bars* drawn correctly. K2
Note: 5 or 4 bars* drawn correctly. K1
The 6 bars with correct frequencies are drawn. N1
d) 16 x 100 = 53.33%
30 P1
* referring to candidates frequencies 12
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9. PPSMI ASSESMENT 2006 Panel Pakar Runding GC MMMT
MATHEMATICS 1449/2
FORM 4
No Marking Scheme Marks
16. a)
Age Frequency Cumulative Upper
(years) frequency boundary
(I) ( II )
10 – 14 0 0 14.5 Row I
15 - 19 10 10 19.5
20 – 24 20 30 24.5
25 – 29 50 80 29.5
30 – 34 60 140 34.5
35 - 39 36 176 39.5
40 - 44 18 194 44.5
45 - 49 6 200 49.5
All values in Row I correct. P1
All values in Column ( I ) correct excluding Row I correct. P2
All values in Column ( II ) correct excluding Row I correct. P1
b) Mean = 10(19.5) + 20(24.5) + 50(29.5) + 60(34.5) +36(39.5) + 18(44.5) +6(49.5)
200
Or 6750
200 K2
33.75 N1
c) x-axis is drawn with the right direction and uniform scaled from P1
14.5 ≤ x ≤ 49.5
y-axis is drawn with the right direction and uniform scaled from P1
0 ≤ y ≤ 200
All eight points* plotted correctly. P2
Note : Seven or six points* plotted correctly. P1
All the right eight points plotted correctly and ogive is drawn smoothly passing N1
through all the points.
* referring to candidates frequencies
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