This document contains the marking scheme for the Mathematics Paper 1 exam for Form 4 students in Malaysia in October 2007. It includes the marking schemes for 52 multiple choice questions in Section A worth a total of 52 marks and short answer questions in Section B worth a total of 48 marks. The marking schemes provide the number of marks awarded for each part of each question.

1. ppr maths nbk
SULIT 1449/2
1449
SULIT 1449/1
1449/1
Matematik
Kertas1
Peraturan
Pemarkahan
Oktober
2007
SEKTOR SEKOLAH BERASRAMA PENUH
BAHAGIAN SEKOLAH
KEMENTERIAN PELAJARAN MALAYSIA
PERATURAN PEMARKAHAN
PEPERIKSAAN DIAGNOSTIK TAHUN 2007
TINGKATAN 4
MATEMATIK
KERTAS 1 & 2
1449/1

2. QUESTION ANSWER QUESTION ANSWER
1 B 21 C
2 D 22 B
3 D 23 D
4 B 24 D
5 B 25 C
6 A 26 D
7 D 27 A
8 B 28 D
9 A 29 C
10 A 30 A
11 B 31 A
12 D 32 C
13 B 33 C
14 C 34 B
15 C 35 A
16 A 36 C
17 A 37 B
18 D 38 D
19 A 39 C
20 B 40 A
2

3. Section A
[ 52 marks ]
No Marking Scheme Marks
1 3 x 2 − 5 x −` = 0
12 K1
(3x + 4)( x − 3) = 0 K1
4
x = − ,x = 3
3 N1N1 4
2 4 p − 6q = 12 or 6 p − 9q = 18 K1
− 15q = 15 or 10 p = 15 K1
q = −1
N1
3
p= N1 4
2
(a) False P1
3
(b) Implication 1 : If 4m > 20, then m > 5 P1
Implication 2 : If m > 5, then 4m > 20 P1
(c) n + 4n2 , n = 1,2, 3, ….
P1, P1 5
4 8 x 7 x 16 K1
1 22 7 7
× × × × 16 K1
2 7 2 2
1 22 7 7
8 x 7 x 16 + × × × × 16 K1
2 7 2 2
1204
N1 4
5 (a) P′∩R′ (b) Q∩R∪P
P1 P2
3
3

4. No Marking Scheme Marks
6 Identify ∠EAD P1
Tan ∠EAD =
6
K2
8
∠EAD = 36.87° or 36°52′ N1 4
7 (a) P(3,0) P1
(b) mPQ =
3+3
K2
0+3
= 2 N1
(c) mRS = 2 K1
y−6
= 2 or equivalent K1
x−0
y = 2x + 6 N1 6
8 (a) Antecedent : A triangle has two equal sides P1
Consequent: It is an isoceles triangle P1
P1
(b) If x2 > 25, then x>5
P1
(c) x is an angle in a semicircle
(d) If M⊂ N, then M∩N = M P1 7
1
9 (a) P1
5
3 2+ x
(b) = K2
7 10 + x
x = 4 N1 4
10 1 22 K1
(a) × 2× ×7
2 7
1 22
14(4) + × 2× ×7 K1
2 7
78 N1
1 22
(b) × ×7×7
2 7
K1
4

5. No Marking Scheme Marks
1 22 K1
× × 14 × 14
4 7
K1
1 22 1 22
× × 7 × 7 + ( 14 X 14 − × × 14 × 14 ) N1
2 7 4 7
7
119
11 ∠VPR or ∠VPT P1
6 2 + 8 2 ( seen ) K1
5
Tan ∠VPR = K2
5
∠ VPR = 45° N1
5
Section B
[48 marks]
No Marking Scheme Marks
12 (a)
Age (years) Frequency Cumulative frequency Upper boundary
(I) ( II )
10 – 14 0 0 14.5
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
P1
All values in Column ( I ) correct excluding Row I correct.
P2
All values in Column ( II ) correct excluding Row I correct.
(b) x-axis is drawn with the right direction and in uniform scale from
K1
14.5 ≤ x ≤ 49.5
y-axis is drawn with the right direction and in uniform scale from
K1
0 ≤ y ≤ 200
K2
All eight points* plotted correctly.
Note : Seven or six points* plotted correctly. 1 P1
K1
(14.5, 0) plotted or passed through
N1
All the right eight points plotted correctly and ogive is drawn smoothly passing
through all the points.
K1
(c) (i) 35.5 – 27.5
N1
8–9
N1 12
(ii) 150 participants aged 35.5 ± 0.5
13
5