30[a math cd]
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1 © Penerbitan Pelangi Sdn. Bhd.
Paper 2
1. C B
AD
2.
P Q
RS
3. (a) E /D H /C
F/A G/B
4 cm
5 cm
CHAPTER
30 Plans and ElevationsCHAPTER
2
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b) F /E G /H
A /D B /C
3 cm
5 cm
(c) G /F H /E
B /A C /D
3 cm
4 cm
4. (a) 4 cm
A B
(b)
A B
4 cm
5 cm
3
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
5. (a) 4 cm
RP Q
(b)
P Q
R
5 cm
4 cm
6. (a) H G
E F
V
4 cm
3 cm
(b)
5 cm
4 cmE /H F /G
V
4
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(c)
5 cm
3 cmF/E G/H
V
7. (a) E /H F /G
J K4 cm
4 cm
(b)
H /G J /K
E /F
3 cm
4 cm
(c) E
J /H K/G
F
3 cm
4 cm
5
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
8. (a) Q/V
P/U S/T
R/W
6 cm
4 cm
(b)
P /Q
U /V T /W
S /R
3 cm
4 cm
4 cm
(c)
1 cm
3 cm
6 cm W /VT /U
S
P Q
R
6
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
9. (a) M /L
E /K G /F
P /N
H /J
Q /R
2 cm4 cm
4 cm
(b)
3 cm
6 cm
5 cm
2 cm
2 cmG /P H /Q
J /RK /L
E /M F /N
(c) H /G Q /P
R /LJ /K
N /MF /E
3 cm
2 cm
4 cm
7
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
10. (a) L /K
E /J G /H
N /PM
F1 cm 4 cm
6 cm
(b)
4 cm
4 cm
3 cm
5 cm
E/L
F/M G/N
H/PJ/K
(c) L E
M /N F /G
J /HK /P
1 cm
3 cm
6 cm
8
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
Paper 2
1. (a) J/H M/G
R/E N/F
5 cm
4 cm 2 cm
K/L
Q/P
(b) (i) U /T V /W
R /J
P /L
Q /K /X
N/M /Y
F /G /ZE /H /S
3 cm
4 cm
6 cm
2 cm
2 cm
4 cm
9
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(ii) V /U W /T
K /J
M /L
G /HF /E
Q /R X
YN/P
Z /S
3 cm
2 cm
2 cm
2 cm5 cm
2. (a) E/D H J/C
F/A G K/B
8 cm
3 cm 3 cm
10
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b) (i)
G/H
F/E
M/Q
A/D B/C
K/JS/R
N/P
3 cm
8 cm
2 cm
6 cm
2 cm
(ii)
G H
K/S/F
N/M
B/A
P/Q
C/D
J/R/E
3 cm
3 cm
2 cm
8 cm
11
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
3. (a) (i)
3 cm 4 cm
5 cm
F
E
G/A
K/D
H/N/B
J/C
(ii)
7 cm
4 cm
1.5 cm
1.5 cm
F/E
G/K H/J
B/CA/D
N
(b) 2 cm3 cm
1.5 cm
1.5 cm1 cm
E F
P
K/J G/M
A/BD/C
L
12
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
4. (a) G/F H/E
C/DB/A 6 cm
3 cm
(b) (i) P/S Q/R
G/U/H
B/CA/D
F/T/E
3 cm
3 cm
5 cm
(ii) E/D S
RH/CUQ/G/B
P/F/A T
3 cm
5 cm
3 cm 1 cm
13
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
5. (a)
H/G A/B
DE
F C
5 cm
3 cm
3 cm
(b) (i)
D/A
E/H M/N
C/B
L/KJ
F/G
5 cm
3.5 cm3.5 cm
3 cm
(ii)
L/M
D/J/E
A/H B/G
C/F
K/N
3 cm
6 cm
7 cm
14
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
6. (a) K/P
G/FHJ/E
L M/N
4 cm
2 cm3 cm
(b) (i)
E/FT/U 4 cm
8 cm
4 cm
3 cm
3 cm
G
RS
K/L
M
J/H
Q/P/N
15
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(ii)
J/K
Q/T E/P F/N/U
G/M
H/L
R/S
3 cm
3 cm8 cm 7 cm
5 cm2 cm
7. (a) D/G
C/HB/J
A/K
E/F
5 cm
2 cm
5 cm
3 cm
16
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b) (i)
B/C
F/G
K A
J/HL/M
P/N
E/Q/D
3 cm6 cm
2 cm
2 cm
3 cm
(ii)
K/J
G/H N/D/C M
LP/Q/A/B
EF
3 cm
6 cm
2 cm
3 cm 3 cm
17
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
Paper 2
1. (a) K/D H/C
E /A G/B
6 cm
4 cm 2 cm
J
F
(b) (i) L /N M
E/K
A/D/P B/C
G/H
F/J
4 cm
4 cm
3 cm
6 cm
5 cm
18
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(ii)
2 cm
3 cm
7 cm
6 cm 3 cm
G
F /E J /K
B /A C /D
M /L N
H
P
2. (a) Q /F S /G
T /HV/J U
R3 cm 3 cm
5 cm
(b) (i) V /Q
J /FE H /G
T /S
U /R
U is 2 cm above JH.
P
6 cm
4 cm
3 cm
19
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(ii)
1 cm
2 cm
5 cm
T /V
U R
H /J G /F /E
S /Q /P
3. (a)
J /E K /F
L /GM /H
8 cm
4 cm
3 cm
(b) (i) Q
F /EP/N G /H
L /MK /J
8 cm
3 cm
7 cm
20
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(ii) J KM Q L
7 cm
GHN /E P/F4 cm2 cm 2 cm
2 cm 2 cm
4. (a)
A /E B /D
H /J
G is 1 cm above AB.
F /L
G /K
3 cm 3 cm
3 cm
21
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b) (i)
6 cm
5 cm
3 cm3 cm H /BF /A
L /E J /D
G
K
NM
(ii)
2 cm
1 cm
6 cm5 cm
7 cmJ /LH /F
B /A D /E
N /M
KG
22
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
5. (a) 3 cm
2 cm
5 cmP/U /F
N /R /J
T /EQ/G
M/H S/D
(b) (i)
K L
R /U S /T
N /PM /Q
H /G A /J /F B /D /E
3 cm
3 cm
5 cm
2 cm7 cm
(ii)
3 cm
2 cm
4 cm
5 cm
2 cm
2 cm E /F /GD /J /HB /A
L /K
S /R T /U
N /M P /Q
23
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
6. (a)
E
M
F /G
K /L
4 cm
6 cm
3 cm
(b) (i) R /J Q /H
K /F
P/L /GN /M /E
5 cm
2 cm
6 cm
24
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(ii)
1 cm
2 cm
2 cm
2 cm5 cm
3 cm
RN
F
KL
M
QP
H /JG /E
2 cm
7. (a) Q /HR /J
S /T
L /K
P /N
M /G4 cm
2 cm
3 cm
25
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b) (i)
U M /L N /T
P /S Q /R
H /JG /KF /E 3 cm
3 cm
2 cm
2 cm
5 cm
8 cm
(ii)
2 cm
4 cm
6 cm
S /R P /Q
L /T M /N
E /K /J F /G /H
U
26
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
8. (a) R /K
L /E G
H
M/U/F
N /V/J
2 cm 3 cm
3 cm
(b) (i) M /L N /R
H /J /KG /F /E
Q
S
VU
P
4 cm
4 cm
3 cm
3 cm 3 cm
(ii) L /R /Q
E /K /S
M /N
U /V
P
G /HF /J 3 cm
4 cm
7 cm
2 cm
27
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
9. (a)
G /F
B /A D /E
H /J
2 cm
4 cm
5 cm
(b) (i)
5 cm
6 cm
3 cm
J /E H /D
F /A P /G /B
N/L
M/Q /K
(ii) M
K
P
HJ
GF Q
B /DL
N
A /E
7 cm
3 cm
3 cm
2 cm
2 cm
28
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
10. (a) R /D
N /K
P /S /LQ /C
M /B
3 cm
3 cm
3 cm
(b) (i)
N /P
S
K /LA /E
F /J G /H
B /C /D
3 cm
3 cm2 cm
8 cm
4 cm
M /Q /R
29
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(ii) G /F H /J
D /EL /C
S /Q
K /B /A
R
PN
M
3 cm3 cm
4 cm
3 cm
1 cm
11. (a) P /H M /G
J /E L /FK
N
4 cm
3 cm
2 cm
(b) (i) K /J N /P
R /Q
G /HF /E
ML
5 cm
5 cm
2 cm
3 cm 3 cm
30
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(ii) J /P
Q R
K /N
L /M
F /GE /H 6 cm
5 cm
2 cm
4 cm
2 cm
12. (a) L /K M /J
G /HF /E
P N
3 cm
4 cm
6 cm
31
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b) (i) J /H
K /E L /P
M /N G
F3 cm2 cm
6 cm
(ii) J /M K /L
E /FH /G
N P
3 cm
4 cm
6 cm
13. (a) K /A L /S
H /GJ/F
D /CE /B
2 cm
3 cm
4 cm
32
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b) (i) J /K
N /M
Q /RC /SB /A
E /F D /G
P /H /L
4 cm
4 cm
2 cm
3 cm
3 cm
(ii) K /L J /H P
F /GE /D
B /C /QA /S /R
M N
2 cm
3 cm
2 cm
1 cm
3 cm
5 cm
14. (a) Q /M P N
F /J G H
4 cm
3 cm 2 cm
33
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b) (i)
4 cm
3 cm 3 cm
5 cmK
E Q /R /F
M /L /J
P/G
N /H
(ii) P/Q
R L
N /M
H /J/KG /F /E 4 cm
3 cm
1 cm
15. (a) V/W
Q /P R /S
U
T
4 cm
5 cm
3 cm
4 cm
34
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b) (i) D /A W/E /P T /S
C /B V/F /Q U/R
5 cm
4 cm3 cm
(ii) W /T
D/E
V
U
C /F
A /P /S B/Q /R
3 cm
2 cm
5 cm
1 cm
16. (a) U/T R /S Q/DV/E
J/B P/CK /L N /M
5 cm
2 cm 1 cm1 cm
35
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b) (i) H/G
K /U
L /T M /S
C /DB /E
J /V
A /F
N /R P/Q
2 cm
4 cm
1 cm
4 cm3 cm
2 cm
(ii) H G
P/N /K /J Q /R /U/V
C /B /A D /E /F
M /L S /T
2 cm
2 cm
2 cm
5 cm
17. (a) H /G K /L
N /M P /Q
B /AI/F D /J /E
O
C3 cm
4 cm
6 cm
1.5 cm
1.5 cm
36
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b)
I /HJ /K
D /N B /P
C /O
F /G A /QE /M /L
6 cm
5 cm
3 cm3 cm
3 cm
(c)
4 cm 2 cm
2 cm
1 cm
3 cm
B /D
J/I
P/N
OC
K /H
L /GQ /MA /E /F
37
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
18. (a) M /A T /J S /H
R /GQ /L /FN /K /B
U
P
ED
5 cm
4 cm
2 cm 2 cm
2 cm
3 cm
(b) N /M Q /T
R /S
P /U
K L
G /HE /F /JD /B /A 3 cm
3 cm3 cm
2 cm
2 cm
4 cm
(c)
2 cm
2 cm
3 cm
5 cm
Q /N T /M
S /U
H /J /AG /F/B
R /L /P/K
E/D
38
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
19. (a) S /R P /Q
H /GK /E
J /F
NT
L M
4 cm
2 cm
1 cm 1 cm
(b) L /T M /N
H /PK /S
G /QF
J
E /R
4 cm
6 cm
5 cm
3 cm
39
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(c) M /L N /T
H /KJ P /S
Q /RG /EF
2 cm
3 cm
5 cm
3 cm
20. (a)
5 cm
6 cm E/FM/L
H/GJ/K
40
Mathematics SPM Chapter 30
© Penerbitan Pelangi Sdn. Bhd.
(b)
4 cm
2 cm
1 cm 4 cm
2 cm 2 cm
G/F
T/Q
E
R S
H
K/LM N U/P
(c)
5 cm
2 cm
2 cm
5 cm
2 cm
F/LE/M
G/KT/UH/S
R/N Q/P