30[a math cd]

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



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



(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



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



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



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



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



(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



(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



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



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



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



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



(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



(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



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



(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



(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



(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



(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



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



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



(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



(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



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



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



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



(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



(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



(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



(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



(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



(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



(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



(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



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



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



(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



(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

30[a math cd]

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