HEBAT SPM 2019 - MATHS

Practice Number Bases
1 Asas Nombor 1



Practice Graphs of Functions II
2 Graf Fungsi II 5



Practice Transformations III
3 Penjelmaan III 10



Practice Matrices
4 Matriks 19



Practice Variations
5 Ubahan 27


Practice Gradient and Area under a Graph
6 Kecerunan dan Luas di bawah Graf 33



Practice Probability II
7 Kebarangkalian II 40



Practice Bearing
8 Bearing 50



Practice Earth as a Sphere
9 Bumi sebagai Sfera 57



Practice Plans and Elevations
10 Pelan dan Dongakan 66



Forecast Paper 74


Answers A1 – A12











0 Con Hebat SPM Math F5.indd 1 26/02/2019 5:04 PM

PRACTICE Transformations III

3 Penjelmaan III






FORMULAE A nalysis of PAPER ‘11 ‘12 ‘13 ‘14 ‘15 ‘16 ‘17 ‘18
SPM
1
✓
Questions 2 ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓
PA’
1. Scale factor, k = 2. Area of image = k × area of object
2
PA Luas imej = k × luas objek
2
Faktor skala, k = PA’
PA
In the diagram given, triangle ABC is the image
Objective Questions PAPER 1 of triangle DEF under an enlargement. Find the
centre of the enlargement and its scale factor.
Combination of Two Transformations Dalam rajah yang diberi, segi tiga ABC
3.1 Gabungan Dua Penjelmaan ialah imej bagi segi tiga DEF di bawah satu

pembesaran. Cari pusat pembesaran dan
1. y faktor skala.
A E, 3 B H, 3 C E, 2 D H, 2
3
D 2 J 3. Determine the image of point G(–1, 2) under
1 a reflection in the line x = 0 followed by an
x enlargement of scale factor 2 with centre (1, 0).
–3 –2 –1 0 1 2 3 4 5
–1 A Tentukan imej bagi titik G(–1, 2) di bawah
–2 pantulan pada garis x = 0 diikuti oleh satu
–3 pembesaran pada pusat (1, 0) dengan faktor
B –4 C skala 2.
–5
A (1, –2) C (–1, 2)
B (1, 4) D (–3, 4)
Determine the image of shape J under a
2
translation 1 2 followed by a clockwise Questions 4 and 5 are based on the following
–3
statements.
rotation of 90° about the origin. Soalan 4 dan 5 adalah berdasarkan pernyataan yang
Tentukan imej bagi bentuk J di bawah translasi berikut.
2
1 2 diikuti oleh putaran 90° ikut arah jam G is a translation 1 2 .
6
–3
pada asalan. –3
6
2. G ialah translasi 1 2 .
–3
H
H is an anticlockwise rotation of 90° at centre (0, 4).
D H ialah putaran lawan arah jam melalui 90° pada
pusat (0, 4).
A
E F 4. State the coordinates of the image of point
K(3, 5) under the combined transformation GH.
Nyatakan imej bagi titik K(3, 5) di bawah
gabungan penjelmaan GH.
B C A (7, 2) C (1, 1)
B (5, 4) D (–4, 4)


© Penerbitan Pelangi Sdn. Bhd. 10





03 Hebat A+ MATH F5.indd 10 26/02/2019 4:03 PM

Mathematics Form 5 Practice 3 Transformations III
5. State the coordinates of the image of point The diagram given shows two triangles.
L(–2, 3) under the combined transformation Triangle II is the image of triangle I under the
HG. combined transformation of HOTS
Nyatakan imej bagi titik L(–2, 3) di bawah Rajah yang diberi menunjukkan dua segi
gabungan penjelmaan HG. tiga. Segi tiga II ialah imej bagi segi tiga I di
A (4, 0) C (4, 8) bawah gabungan penjelmaan
B (–4, 0) D (7, –1) A an enlargement followed by a translation.
pembesaran diikuti oleh translasi.
6.
y B a translation followed by an enlargement.
translasi diikuti oleh pembesaran.
C a rotation followed by an enlargement.
II
putaran diikuti oleh pembesaran.
D a reflection followed by an enlargement.
I pantulan diikuti oleh pembesaran.
x
0


Subjective Questions PAPER 2


1. (a) Given S is a reflection in the line x = 1 The diagram given shows triangles UVW,
4
and T is a translation 1 2 . XYZ and ABC drawn on a Cartesian plane.
–1
Rajah yang diberi menunjukkan segi tiga
Diberi S ialah pantulan pada garis x = 1 UVW, XYZ dan ABC dilukis pada satah
4
dan T ialah translasi 1 2 . Cartes.
–1
(i) Given transformation D is a reflection
State the coordinates of images of in the line y = –x and transformation
point (–2, 1) under the following E is an anticlockwise rotation of 90°
transformations. about the origin. ∆ABC is transformed
Nyatakan imej bagi titik (–2, 1) di bawah under combined transformation
penjelmaan yang berikut. ED. Specify a single transformation
(i) T 2 which is equivalent to the combined
(ii) S transformation ED.
(iii) TS Diberi penjelmaan D ialah pantulan
pada garis y = –x dan penjelmaan
(b)
E ialah putaran 90° lawan arah jam
y pada asalan. ∆ABC diterjelmakan
8 di bawah gabungan penjelmaan ED.
B Huraikan satu penjelmaan tunggal
6 yang setara dengan gabungan
penjelmaan ED.
4
A (ii) If ∆XYZ is the image of ∆UVW under
2 transformation F.
W V
C Jika ∆XYZ ialah imej bagi ∆UVW di
–8 –6 –4 –2 0 2 4 6 x bawah penjelmaan F.
Z Y (a) Describe in full transformation F.
–2
Huraikan selengkapnya
X
–4 penjelmaan F.
U



11 © Penerbitan Pelangi Sdn. Bhd.





03 Hebat A+ MATH F5.indd 11 26/02/2019 4:03 PM

Mathematics Form 5 Practice 3 Transformations III
2
(b) Given the area of ∆UVW is 27 cm , The diagram given shows three rhombuses,
find the area of the shaded region. MNPQ, RSTU and VWXY, on a Cartesian
Diberi luas ∆UVW ialah 27 cm , plane. RSTU is the image of MNPQ under
2
cari luas kawasan berlorek. a transformation Z and VWXY is the image
of RSTU under a transformation A.
Rajah yang diberi menunjukkan tiga rombus,
MNPQ, RSTU dan VWXY, pada satah
Cartes. RSTU ialah imej bagi MNPQ di
2. (a) bawah penjelmaan Z dan VWXY ialah imej
y
bagi RSTU di bawah penjelmaan A.
4 (i) Describe in full, the transformation
Huraikan selengkapnya, penjelmaan
2 J
(a) Z,
I (b) A.
x
–8 –4 0 4 8 (ii) Given that rhombus VWXY represents
2
–2 H a region of area 169 cm , find the
2
area, in cm , of the region represented
–4 by the shaded region.
Diberi rombus VWXY mewakili suatu
G
kawasan yang luasnya 169 cm ,
2
The diagram above shows two lines, cari luas, dalam cm , kawasan yang
2
GH and IJ, on a Cartesian plane. Given diwakili oleh kawasan berlorek.
–3
transformation K is a translation 1 2
3
and transformation L is a clockwise
rotation of 90° about (0, –1). Draw the
image of HOTS
Rajah di atas menunjukkan dua garis lurus,
GH dan IJ, pada satah Cartes. Diberi
–3
penjelmaan K ialah translasi 1 2 dan
3
penjelmaan L ialah putaran 90° ikut arah
jam pada (0, –1). Lukis imej bagi
2
(i) line GH under the transformation K ,
2
garis GH di bawah penjelmaan K ,
(ii) line IJ under combined transformation
KL.
garis IJ di bawah gabungan
penjelmaan KL. 3. y
(b) 6 I
y F B 4
8 2
Y
G E D A C
6 –8 –6 –4 –2 0 2 4 6 8 x
X U Q
–2
T 4 P
H J
2 The diagram above shows triangles ABC,
R M ABD, GFE and HIJ on a Cartesian plane.
S V N Rajah di atas menunjukkan segi tiga ABC,
–6 –4 –2 0 2 4 6 x ABD, GFE dan HIJ pada satah Cartes.
W

© Penerbitan Pelangi Sdn. Bhd. 12





03 Hebat A+ MATH F5.indd 12 26/02/2019 4:03 PM

Mathematics Form 5 Practice 3 Transformations III
(a) Transformation K is a reflection in the line Penjelmaan T ialah translasi 1 2 dan
4
–1
–3
y = 2. Transformation L is a translation 1 2 . penjelmaan P ialah putaran 90° lawan
3
State the coordinates of image of point D arah jam pada pusat (0, 1). Nyatakan
under the following transformations. koordinat bagi imej titik (6, 2) di bawah
Penjelmaan K ialah pantulan pada garis setiap penjelmaan berikut.
–1
y = 2. Penjelmaan L ialah translasi 1 2 . (i) Translation T
3
Nyatakan imej bagi titik D di bawah Translasi T
gabungan penjelmaan yang berikut. (ii) Rotation P
(i) KL Putaran P
(ii) LK (iii) Combined transformation P 2
(b) ∆ABD is the image of ∆ABC under Gabungan penjelmaan P 2
transformation M and ∆GFE is the (b) y
image of ∆ABD under transformation N. 10
Describe in full, D
∆ABD ialah imej ∆ABC di bawah E B 8 H
penjelmaan M dan ∆GFE ialah imej bagi C 6 G
∆ABD di bawah penjelmaan N. Huraikan A 4
selengkapnya, F I
(i) transformation M, 2
penjelmaan M, 0 x
(ii) a single transformation which is –10 –8 –6 –4 –2 2 4 6
equivalent to the transformation NM. The diagram above shows three triangles,
satu penjelmaan tunggal yang setara ABC, FDE and IHG, drawn on a Cartesian
dengan penjelmaan NM. plane.
(c) ∆HIJ is the image of ∆ABC under an Rajah di atas menunjukkan tiga segi tiga,
enlargement. ABC, FDE dan IHG, yang dilukis pada
∆ HIJ ialah imej bagi ∆ABC di bawah satu suatu satah Cartes.
pembesaran. (i) FDE is the image of IHG under the
(i) State the coordinates of the centre of combined transformation VU. Describe
enlargement. in full the transformation:
Nyatakan koordinat pusat pembesaran. FDE ialah imej bagi IHG di bawah
(ii) Given that area of ∆HIJ is 240 unit , gabungan penjelmaan VU. Huraikan
2
selengkapnya penjelmaan:
calculate the area of ∆ABC.
Diberi luas ∆HIJ ialah 240 unit , (a) U (b) V
2
hitung luas ∆ABC. (ii) Given triangle IHG represents a region
of area 24 m , calculate the area, in m ,
2
2
of the region represented by the shaded
region.
Diberi segi tiga IHG mewakili suatu
kawasan yang mempunyai luas 24 m .
2
Hitung luas, dalam m , kawasan yang
2
diwakili oleh rantau yang berlorek.
4
4. (a) Transformation T is a translation 1 2
–3
and transformation P is an anticlockwise
rotation of 90° about the centre (0, 1). State
the coordinates of the image of point (6, 2)
under each of the following transformations.



13 © Penerbitan Pelangi Sdn. Bhd.





03 Hebat A+ MATH F5.indd 13 26/02/2019 4:03 PM

Mathematics Form 5 Practice 3 Transformations III






Paper 1 The diagram given shows three quadrilaterals,
ABCD, PQRS and TUVS, drawn on a Cartesian
1. The diagram below shows five trapeziums plane.
SPM drawn on a square grid. P is the object and Q,
CLONE Rajah yang diberi menunjukkan tiga buah sisi
2017
R, S and T are the possible images of P under empat, ABCD, PQRS dan TUVS, yang dilukis
a transformation. pada satah Cartes.
Rajah di bawah menunjukkan lima buah –2
trapezium yang dilukis pada grid segi empat (a) Transformation T is a translation 1 2 .
4
sama. P adalah objek dan Q, R, S dan T Transformation R is a clockwise
merupakan imej yang mungkin bagi P di rotation of 90° about the centre (1, 1).
bawah satu transformasi. Transformation P is a reflection in the line
y = h.
–2
Penjelmaan T ialah translasi 1 2 .
R 4
Q
Penjelmaan R ialah putaran 90° ikut arah
jam pada pusat (1, 1).
S Penjelmaan P ialah pantulan pada garis
T y = h.
P Find the image of point (5, 3) under the
following combined transformations:
Which of the following is true? Cari imej bagi titik (5, 3) di bawah
Antara berikut, yang manakah adalah benar? gabungan penjelmaan yang berikut:
2
Image Transformation (i) R
Imej Transformasi (ii) TR
A Reflection [5 marks]
Q Pantulan [5 markah]

B Enlargement (b) (i) TUVS is the image of ABCD under
R Pembesaran a combined transformation WX.
C Translation Describe in full the transformation
S Translasi TUVS ialah imej bagi ABCD di
bawah gabungan penjelmaan WX.
D Rotation Huraikan selengkapnya penjelmaan
T Putaran (a) X,
(b) W.
Paper 2 (ii) It is given that quadrilateral TUVS
1. y represents a region of area 38.5 m .
2
2
SPM Calculate the area, in m , of the
CLONE 12
2013
region represented by the shaded
SPM R V S D C
CLONE 10 region.
2014
U Diberi sisi empat TUVS mewakili
Q 8 B kawasan yang luasnya 38.5 m .
2
T 2
6 Hitung luas, dalam m , kawasan yang
diwakili oleh kawasan berlorek.
4 [7 marks]
P A
[7 markah]
2
_ 10 _ 8 _ 6 _ 4 _ 2 0 2 4 6 x
© Penerbitan Pelangi Sdn. Bhd. 14





03 Hebat A+ MATH F5.indd 14 26/02/2019 4:03 PM

Mathematics Form 5 Practice 3 Transformations III
(b) The diagram given shows two hexagons
ABCDEF and JKLMNP, drawn on a
Cartesian plane.
Rajah yang diberi menunjukkan dua buah
heksagon ABCDEF dan JKLMNP dilukis
pada suatu satah Cartes.

y
P
8
6 N J
4 A M
F
2 L K
E B
C x
–2 0 D 2 4 6 8 10 12 14
(i) Hexagon KLMNPJ is the image
of hexagon ABCDEF under the
2. (a) The diagram below shows point P(3, 0) combined transformation XY.
SPM Describe in full the transformation:
CLONE drawn on a Cartesian plane.
2017
Rajah di bawah menunjukkan titik P(3, 0) Heksagon KLMNPJ ialah imej
dilukis pada suatu satah Cartes. bagi heksagon ABCDEF di bawah
gabungan penjelmaan XY. Huraikan
selengkapnya penjelmaan:
y
(a) Y,
5 (b) X.
4 (ii) It is given that hexagon KLMNPJ
3 represents a region with an area of
2 180 m . Calculate the area, in m , of
2
2
1
P hexagon ABCDEF.
0 x
–2 2 4 6 8 Diberi bahawa heksagon KLMNPJ
–1
–2 mewakili suatu kawasan yang
2
mempunyai luas 180 m . Hitung luas,
dalam m , heksagon ABCDEF.
2
[8 marks]
–2
Transformation M is a translation 1 2 . [8 markah]
2
Transformation N is a reflection in the line
y = x.
State the coordinates of the image
of P under each of the following
transformations:
–2
Penjelmaan M ialah satu translasi 1 2 .
2
Penjelmaan N ialah pantulan pada garis
y = x.
Nyatakan koordinat imej bagi titik P di
bawah setiap penjelmaan berikut:
(i) M ,
2
(ii) MN.
[4 marks]
[4 markah]



15 © Penerbitan Pelangi Sdn. Bhd.





03 Hebat A+ MATH F5.indd 15 26/02/2019 4:03 PM

Mathematics Form 5 Practice 3 Transformations III

3. (a) y Pentagon KLMNJ ialah imej
SPM bagi pentagon ABCDE di bawah
CLONE 6
gabungan penjelmaan VU. Huraikan
2015
4 selengkapnya penjelmaan
2 (a) U, (b) V.
[5 marks]
x
–4 –2 0 2 4 [5 markah]
R
–2
(ii) Given pentagon ABCDE represents
a region of area 32 m . Calculate the
2
The diagram above shows point R drawn area, in m , represented by the shaded
2
on a Cartesian plane. region.
–2
Transformation S is a translation 1 2 . Diberi pentagon ABCDE mewakili
4
2
Transformation T is a clockwise rotation suatu kawasan yang luasnya 32 m .
2
of 90° about centre (1, 0). Hitung luas, dalam m , yang diwakili
oleh kawasan yang berlorek.
State the coordinates of the image of point [3 marks]
R under the following transformations.
Rajah di atas menunjukkan titik R yang [3 markah]
dilukis pada satah Cartes.
–2
Penjelmaan S ialah translasi 1 2 .
4
Penjelmaan T ialah putaran 90° ikut arah
jam pada pusat (1, 0).
Nyatakan koordinat bagi imej titik R di
bawah setiap penjelmaan yang berikut.
(i) TS (ii) ST
[4 marks]
[4 markah]

(b)
y
8 K

6
L M
A 4 F
B G
C H
2
D E J I N
x 4.
–6 –4 –2 0 2 4 6 8 10 12 y
SPM
The diagram above shows three pentagons, CLONE 10
2012
ABCDE, FGHIJ and KLMNJ, drawn on a 8
Cartesian plane. 6
Rajah di atas menunjukkan tiga pentagon,
ABCDE, FGHIJ dan KLMNJ, yang dilukis 4 P
pada satah Cartes. 2 M
(i) Pentagon KLMNJ is the image of x
pentagon ABCDE under the combined –4 –2 0 2 4 6 8 10
transformation VU. Describe in full, –2 L
K
the transformation –4





© Penerbitan Pelangi Sdn. Bhd. 16





03 Hebat A+ MATH F5.indd 16 26/02/2019 4:03 PM

Mathematics Form 5 Practice 3 Transformations III
The diagram given shows three pentagons, K,
L and M, drawn on Cartesian plane.
Rajah yang diberi menunjukkan tiga buah
pentagon, K, L dan M, dilukis pada satah
Cartes.

(a) Transformation R is a rotation of 90°
anticlockwise about centre (2, 1).
Transformation S is a reflection in the
straight line y = 6.
–4
Transformation T is a translation 1 2 .
1
State the coordinates of the image of
point P under each of the following
transformations.
Penjelmaan R ialah putaran 90° lawan
arah jam pada pusat (2, 1).
Penjelmaan S ialah pantulan pada garis
lurus y = 6. 5. y
–4
Penjelmaan T ialah translasi 1 2 . SPM 10 U
CLONE
1
2012
Nyatakan koordinat bagi imej titik P di 8 Q
bawah setiap penjelmaan yang berikut. 6
(i) T S R
(ii) TS 4
(iii) SR 2 P
[5 marks] T V x
[5 markah] –6 –4 –2 0 2 4 6 8 10 12
The diagram above shows three triangles,
(b) (i) M is an image of K under combined PQR, SQR and TUV, drawn on a Cartesian
transformations WV. Describe in full plane.
the transformation Rajah di atas menunjukkan tiga segi tiga, PQR,
M ialah imej bagi K di bawah SQR dan TUV, yang dilukis pada satah Cartes.
gabungan penjelmaan WV. Hurai (a) Given transformation M is a rotation of
selengkapknya penjelmaan 90° anticlockwise about the centre O and
(a) V, (b) W. 1
(ii) Given that K represents a region of transformation N is a translation 1 2 .
2
area 36 m . Find the area, in m , of a State the coordinates of the image of point
2
2
region represented by M. R under each of the following combined
Diberi bahawa K mewakili rantau transformations.
yang mempunyai luas 36 m . Cari Diberi penjelmaan M ialah putaran 90°,
2
luas, dalam m , bagi rantau yang ikut lawan arah jam pada pusat O dan
2
diwakili oleh M. penjelmaan N ialah translasi 1 2 .
1
[7 marks] 2
[7 markah] Nyatakan koordinat imej bagi titik R di
bawah setiap gabungan penjelmaan yang
berikut.
(i) N 2
(ii) NM
[4 marks]
[4 markah]



17 © Penerbitan Pelangi Sdn. Bhd.





03 Hebat A+ MATH F5.indd 17 26/02/2019 4:03 PM

Mathematics Form 5 Practice 3 Transformations III
(b) (i) Triangle TUV is the image of triangle
PQR under the combined transformation
AB. Describe in full, the transformation
Segi tiga TUV ialah imej bagi
segi tiga PQR di bawah gabungan
penjelmaan AB. Huraikan
selengkapnya penjelmaan
(a) B,
(b) A.
(ii) Given triangle PQR represents a
2
region of an area 20 m . Calculate the
area, in m , represented by the shaded
2
region.
Diberi segi tiga PQR mewakili suatu
kawasan yang luasnya 20 m . Hitung
2
luas, dalam m , yang diwakili oleh
2
kawasan yang berlorek.
[8 marks]
[8 markah]








1. y
10
C
8 A
B
6
4
2

0 2 4 6 8 10 x
(a) Given transformation K is a clockwise rotation of 90° about the origin and L is a reflection in the
line y = –x. Find the coordinates of the image of the point P(3, 1) under the following combined
transformations.
Diberi penjelmaan K ialah putaran 90° arah jam pada pusat asalan dan L ialah pantulan pada garis
y = –x. Cari koordinat bagi imej bagi titik P(3, 1) di bawah gabungan penjelmaan.
(i) KL
(ii) K
2
(b) In the diagram above, ABC is a triangle. P is a reflection in the line y = 5 and Q is a reflection in the line
x = 5.
Dalam rajah di atas, ABC ialah sebuah segi tiga. P ialah pantulan pada garis y = 5 dan Q ialah
pantulan pada garis x = 5.
(i) Draw the image of ∆ABC under the combined transformation QP.
Lukis imej ∆ABC bagi di bawah gabungan penjelmaan QP.
(ii) Describe a single transformation which is equivalent to QP.
Huraikan selengkapnya satu penjelmaan tunggal yang setara dengan QP.



© Penerbitan Pelangi Sdn. Bhd. 18





03 Hebat A+ MATH F5.indd 18 26/02/2019 4:03 PM

2. (a)
PRACTICE Number Bases –3 3
1 Asas Nombor –4 4

(b), (d) y
Objective Questions PAPER 1 15 12
1. C 2. D 3. B 4. A 5. A 10 y = –
x
6. A 7. B 8. B 9. D 10. C y = 2x
11. D 12. B 13. B 14. A 15. B 5 4.5
16. D 17. D 18. B 19. B 20. A 1.2
21. A 22. B 23. B 24. A 25. D –4 –3 –2 –1 0 1 2 3 4 x
12
26. C 27. D y = – –5
x
Subjective Questions PAPER 2 –10
1. (a) 15 , 16 , 17
10
10
10
(b) 144 , 145 , 146 (c) (i) 4.5
10 10 10 (ii) 1.2
3
2. (a) 4 × 5 + 2 × 5 + 3 × 5 + 1 × 5 0 (d) –2.5, 2.5
1
2
(b) 566 10
3. (a) 4
4. (a) 4030 5
(b) 1003 8
5. (a) 2 Paper 1
(b) 10010011 2 1. D 2. D 3. D 4. D 5. A
6. 321 , 322 , 323 , 324 6. D
5 5 5 5
Paper 2
1. (a)
Paper 1 x 1 2 3 4 5 6 9 12 15
1. A 2. D 3. C 4. D 5. D y –18 –9 –6 –4.5 –3.6 –3 –2 –1.5 –1.2
6. C 7. A 8. B 9. C 10. B
(b) y
1.2 1.6 10.3 x
1. 156; 10011100 0 2 4 6 8 10 12 14 16
2
2. (a) k = 3 –2 y = – 18
–2.2
(b) 1410 5 –4 x
PRACTICE Graphs of Functions II –6 y = x – 12
2 Graf Fungsi II –8
–10
Objective Questions PAPER 1
–12
1. A 2. A 3. B 4. A 5. B
6. C 7. B 8. D 9. A 10. D –14
Subjective Questions PAPER 2 –16
1. (a) m = –9, p = –3 –18
(b) y
–20
y = 2x – 8
x = –3 4
–3 0 x (c) (i) y = –2.2
y = –x + 8 (ii) x = 1.2
8 (d) x = 1.6, 10.3




A1 © Penerbitan Pelangi Sdn. Bhd.





12 Ans Hebat A+ Math F5.indd 1 26/02/2019 4:15 PM

Mathematics Form 5 Answers

2. (a) (d) (i) 62 cm
2
(ii) 53.2 cm
2
x –4 –3 –2 –1 0 1 2 2.5 3 (iii) 2.3 cm
y 77 38 17 8 5 2 –7 –15.625 –28
PRACTICE Transformations III
(b) 3
y Penjelmaan III
80
Objective Questions PAPER 1
70
1. B 2. D 3. B 4. B 5. C
60 6. C
50 Subjective Questions PAPER 2
40 1. (a) (i) (6, –1)
(ii) (4, 1)
30 (iii) (8, 0)
20 (b) (i) A reflection in the line y = 0.
Pantulan pada garis y = 0.
1
10 1.75 (ii) (a) F is an enlargement of scale factor — with
–1.75 3
1.9 centre (–5, –2).
x
1
–1.4 F ialah pembesaran dengan faktor skala —
–4 –3 –2 –1 0 1 2 3 4 3
–10 pada (–5, –2).
(b) 24 cm 2
–20 y = –5x + 5
2. (a)
–30 y
H
4
(c) (i) –1.4 (ii) 1.9 G J 2 J
(d) x = –1.75, 1.75, 0 I x
–8 –4 0 4 8
–2 H
I
2 1
2
1. (a) L = (8 × 10) – 1 1 2 × x × x – 1 2 × 4 × (10 – x) –4 G
= 80 – 1 x – 20 + 2x
2
2
= 60 + 2x – 1 x (b) (i) (a) Z is a reflection in the line x = –0.5.
2
2 Z ialah pantulan pada garis x = –0.5.
(b) x = 2; y = 62 (b) A is an enlargement of scale factor 2 with
x = 4; y = 60 centre (– 4, 3).
x = 7; y = 49.5 A ialah pembesaran dengan faktor skala 2
(c) y pada (–4, 3).
(ii) 126.75 cm 2
(d)(i)
62 3. (a) (i) (–6, 0) (ii) (–6, 6)
60 (b) (i) M is a reflection in line AB.
M ialah pantulan pada garis AB.
58 –6 –6
(ii) Translation 1 2 . / Translasi 1 2 .
56 0 0
(d)(iii)
54 (d)(ii) (c) (i) (–5, 3)
53.2 2
52 (ii) 26 — unit 2
3
50 4. (a) (i) (10, –1)
48 (ii) (–1, 7)
(iii) (–6, 0)
46
(b) (i) (a) A reflection in the line x = –1/ Pantulan pada
44 garis x = –1
(b) An enlargement of scale factor 2 with the
42
centre (–4, 5). / Pembesaran dengan faktor
40 x skala 2 pada (–4, 5).
0 1 2 3 4 5 6 7 8
5.7
© Penerbitan Pelangi Sdn. Bhd. A2


12 Ans Hebat A+ Math F5.indd 2 26/02/2019 4:15 PM

Mathematics Form 5 Answers

(b) (i) y
10
Paper 1 C A
1. C 8 B
Paper 2 6
1. (a) (i) (–3, –1) 4 B´
(ii) (1, 1)
2 A´
(b) (i) (a) X is a reflection in the line x = –2.5. C´
X ialah pantulan pada garis x = –2.5. 0 x
1
(b) W is an enlargement of scale factor — with 2 4 6 8 10
centre S(–6, 10). 2 (ii) Rotation of 180° about (5, 5).
W ialah pembesaran pada S(–6, 10) dengan Putaran 180° pada (5, 5).
1
faktor skala —.
2
(ii) 115.5 m 2 PRACTICE Matrices
2. (a) (i) (–1, 4) 4 Matriks
(ii) (–2, 5)
(b) (i) (a) Y is a clockwise rotation 90° about the centre
(6, 0). Objective Questions PAPER 1
Y ialah putaran 90° mengikut arah jam pada
pusat (6, 0). 1. C 2. B 3. A 4. C 5. C
(b) X is an enlargement of scale factor 2 about 6. D 7. B 8. C 9. B 10. D
L. 11. C 12. A 13. C 14. D 15. A
X ialah pembesaran pada L dengan faktor 16. D 17. A 18. A 19. C 20. A
skala 2.
(ii) 45 m 2 Subjective Questions PAPER 2
3. (a) (i) (4, 5) 1. (a) –1 (b) d = 3, e = –2
(ii) (–2, 7) 2. (a) 1 5 4 2
(b) (i) (a) U is a reflection at the y-axis. 3 –1 (b) f = –5, g = 1
U ialah pantulan pada paksi-y. 1 2
(b) V is an enlargement of scale factor 3 with – — — 2
13
13
centre J. 3. (a) R = 5 3
V ialah pembesaran dengan faktor skala 3 1 — —
26
26
pada pusat J.
(ii) 256 m 2 (b) h = –1, k = 3
4. Red pen / Pen merah = RM0.85
4. (a) (i) (–1, 4) Blue pen / Pen biru = RM0.70
(ii) (–1, 10)
2
3
(iii) (0, 10) 1 — —
13
13
(b) (i) (a) V is a reflection in the line x = 2. 5. (a) 1 2 (b) 1 5 2
–9
V ialah pantulan pada garis x = 2. 1 – — —
13
13
(b) W is an enlargement at centre (1, –6) with x 2
scale factor 2. 6. 1 2 = 1 2
y
1.5
W ialah pembesaran pada (1, –6) dengan
faktor skala 2. Price of a packet of nasi lemak at stall A, x = RM2.00
(ii) 144 m 2 Hargar bagi sebungkus nasi lemak di gerai A, x = RM2.00
Price of a packet of nasi lemak at stall B, y = RM1.50
5. (a) (i) (9, 9) Harga bagi sebungkus nasi lemak di gerai B, y = RM1.50
(ii) (–4, 9) 7. (a) p = –3, r = –8
(b) (i) (a) B is a reflection in the line UV. (b) x = –9, y = 11
B ialah pantulan pada garis UV.
(b) A is an enlargement of scale factor 3 with 8. (a) U = 1 1 0
centre (9, 7). 0 1 2
A ialah pembesaran pada (9, 7) dengan skala (b) q = –2, r = 4
3.
8
9
(iii) 160 m 2 – — —
9. (a) 7 7 2
2
1
1 — – —
7 7
1. (a) (i) (–3, 1) (b) 1 4 –1 2
(ii) (–3, –1) 1 2
A3 © Penerbitan Pelangi Sdn. Bhd.
12 Ans Hebat A+ Math F5.indd 3 26/02/2019 4:15 PM

Mathematics Form 5 Answers

12 Subjective Questions PAPER 2
10. (a) 1 2
10
(b) w = –3, x = –2 1. (a) 135
(b) 5
11. (a) 1 4 2 2 2. (a) 0.75
5 3 (b) 64
–8
216
p
(b) 1 3 –2 2 1 2 = 1 2 ; p = 2, q = 7 3. (a) p = ——
q
2
–5 4 q 18
(b) 6
1
12. (a) k = – — , l = –7 (b) m = 2, n = 6 4. a = 15, x = 3 , y = 1
18 8 3
5. 225
64y
6. (a) a = ——
z 3
Paper 1 (b) 1.25
1. A 2. C 3. D 4. D 5. C
6. A 7. C 8. A 9. C
Paper 2 Paper 1
1. (a) m = –5, n = 9 1. A 2. A 3. A 4. B 5. B
1
x
(b) 1 9 5 2 1 2 = 1 2 ; x = 4, y = –7 6. B 7. C 8. B 9. B 10. C
3 2 y –2
2. (a) m = –13, n = –2
x
(b) 1 5 –1 21 2 = 1 4 2 ; x = 2, y = 6 1. 15 days / 15 hari
2 –3 y –14
8
1
3. (a) — 1 –5 –4 2 PRACTICE Gradient and Area under a Graph
6
4
3
Kecerunan dan Luas di bawah Graf
(b) Price of a blue pen / Harga sebatang pen biru = RM2;
price of a black pen / Harga sebatang pen hitam =
RM1.50
Objective Questions PAPER 1
69
x
4. 1 6 1 21 2 = 1 2 ; x = 9.50, y = 12.00 1. D 2. A 3. A 4. D 5. B
4 2 y 62 6. D 7. C 8. A 9. D 10. B
Price of a child ticket = RM9.50 11. D
Harga bagi sekeping tiket kanak-kanak = RM9.50
Price of an adult ticket = RM12.00 Subjective Questions PAPER 2
Harga bagi sekeping tiket dewasa = RM12.00
1. (a) 10 s (b) –3.5 m s –2
5. (a) x + y = 12; 40x + 38y = 470 (c) 14
(b) x = 7, y = 5 2. (a) 3.2 m s (b) 131 m
–1
3. (a) 46 (b) 532.5 m
4. (a) 0.5 h / j
–1
1. (a) M = 1 3 –5 2 (b) 81 km h / 81 km j –1
1
–1
(c) (i) 44 km

2 –2 4 (ii) 0.9 h / j
(b) Price of a piece of cupcake A = RM5
Price of a piece of cupcake B = RM1 5. (a) 20 (b) 34
Harga sebiji kek cawan A = RM5 6. (a) 30 km
Harga sebiji kek cawan B = RM1 (b) 80 km h / 80 km j
–1
–1
(c) 45
PRACTICE Variations
5 Ubahan
Paper 2
1. (a) 15 s
Objective Questions PAPER 1 1
(b) –1 — m s
–2
3
1. D 2. B 3. D 4. B 5. B (c) v = 12
6. B 7. C 8. C 9. B 10. C 2. (a) 8 m s
–1
11. B 12. C 13. C 14. B 15. C 1
16. B 17. A 18. C 19. B 20. C (b) 1— m s –2
3
21. B (c) t = 24
© Penerbitan Pelangi Sdn. Bhd. A4
12 Ans Hebat A+ Math F5.indd 4 26/02/2019 4:15 PM

Mathematics Form 5 Answers

3. (a) Farah (b) 15 s
(c) 110 m (d) 40 s
4. (a) (i) h = 145 Paper 1
k = 170
(ii) 1. D 2. B 3. D 4. C 5. C
Distance (km) 6. A
Jarak (km) Paper 2
320 1. (a) Outcome of card picked
Kesudahan kad terpilih
D I M E
Outcome of coin tossed Kesudahan duit syiling dilambung H
h = (H, D) (H, I) (H, M) (H, E)
145


Time (min)
0 130 250 Masa (min) T (T, D) (T, I) (T, M) (T, E)
k = 170
1
–1
(b) 76.8 km h / 76.8 km j –1 (b) (i) {(H, M), (T, M)}; —
4
5
(ii) {(H, D), (H, I), (H, M), (H, E), (T, E)}; —
8
1. (a) The two vehicles meet at 62.5 km from town X at 0926. 2. (a) {(1, B), (2, B) , (3, B) , (4, B), (5, B), (6, B) ,
Kedua-dua kenderaan bertemu di 62.5 km dari bandar (1, G) , (2, G), (3, G), (4, G) , (5, G) , (6, G),
X pada 0926.
(b) t = 1100 (1, Y), (2, Y) , (3, Y), (4, Y) , (5, Y), (6, Y) }
–1
(c) 40 km h / 40 km j –1 1
(b) (i) {(1, Y), (2, Y)}; —
9
PRACTICE Probability II (ii) {(1, B), (2, B), (3, B), (4, B), (5, B), (6, B),
7 Kebarangkalian II (3, G), (4, G), (5, G), (6, G), (3, Y), (4, Y), (5, Y),
7
(6, Y)};—
9
3. (a) {(1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 3), (2, 4), (2, 5),
Objective Questions PAPER 1
(3, 1), (3, 2), (3, 4), (3, 5) (4, 1), (4, 2) (4, 3), (4, 5)
1. D 2. A 3. B 4. A 5. D (5, 1), (5, 2) (5, 3), (5, 4)}
6. D 7. A 8. A 9. C 10. B (b) (i) {(2, 1), (2, 3), (2, 4), (2, 5), (4, 1), (4, 2) (4, 3),
11. C 12. C 13. D 14. D 15. A 2
16. A 17. D 18. A 19. D 20. B (4, 5)}; —
5
3
(ii) {(1, 2), (1, 4), (3, 2),(3, 4), (5, 2), (5, 4)} ; —
Subjective Questions PAPER 2 10
1
1. (a) — 4. (a) First hit Second hit Outcomes
5 Pemanahan Pemanahan Kesudahan
19 2 pertama kedua
(b) (i) — (ii) — A AA
30 3
2
2. (a) 29 (b) 145 (c) — A B AB
114 532 9
C AC
11
20
3. (a) — (b) — A BA
63 26
4. (a) {(Banana, Orange), (Durian, Orange), (Apple, B B BB
Orange)} / C BC
1
{(Pisang, Oren), (Durian, Oren), (Epal, Oren)}, — A CA
5
(b) {(Banana, Coca Cola), (Banana, Mineral water),
(Durian, Coca Cola), (Durian, Mineral water), C B CB
(Orange juice, Orange), (Soya bean, Orange),
(Apple, Coca Cola), (Apple, Mineral water)} / C CC
{(Pisang, Coca Cola), (Pisang, Air mineral), (Durian,
1
5
Coca Cola), (Durian, Air mineral), (Jus oren, Oren), (Air (b) (i) — (ii) —
8
soya, Oren), (Epal, Coca Cola), (Epal, Air mineral)}, — 3 9
15
A5 © Penerbitan Pelangi Sdn. Bhd.
12 Ans Hebat A+ Math F5.indd 5 26/02/2019 4:15 PM

Mathematics Form 5 Answers

5. (a) (i) {(Ali, Muthu), (Ali, Chong), (Ali, Susan), RM200), (Tunai RM300, Baucer hadiah RM400),
(Ali, Nora), (Kavitha, Muthu), (Kavitha, (Tunai RM300, Baucer hadiah RM800), (Tunai
Chong), (Kavitha, Susan), (Kavitha, Nora), RM500, Baucer hadiah RM200), (Tunai RM500,
(Mary, Muthu), (Mary, Chong), (Mary, Susan), Baucer hadiah RM400), (Tunai RM500, Baucer
(Mary, Nora)} hadiah RM600), (Tunai RM500, Baucer hadiah
11
1
(ii) — RM800)}; —
12
2
(b) (i) {(Ali, Kavitha), (Ali, Mary), (Ali, Susan),
(Ali, Nora), (Muthu, Kavitha), (Muthu, Mary),
(Muthu, Susan), (Muthu, Nora), (Chong, Kavitha), 3
(Chong, Mary), (Chong, Susan), (Chong, Nora)} 1. (a) 5
1 3 23
(ii) — (b) (i) (ii)
3 10 50
6. (a) {(Angela, Edward), (Angela, Farhan), (Angela, Gerry),
(Bily, Edward), (Billy, Farhan), (Billy, Gerry),
(Chong, Edward), (Chong, Farhan), (Chong, Gerry), PRACTICE Bearing
(Din, Edward), (Din, Farhan), (Din, Gerry)} 8 Bearing
1
(b) —
6
(c) The probability Billy and Din on duty together is 0
because both of them are from the same class. Objective Questions PAPER 1
Kebarangkalian Billy dan Din bertugas bersama ialah 1. A 2. C 3. D 4. D 5. A
0 kerana mereka berdua adalah dari kelas yang sama. 6. B 7. A 8. B 9. C 10. B
7. (a) {(Cash RM100, Gift voucher RM200), (Cash RM100, 11. A 12. A 13. B 14. B 15. A
Gift voucher RM400), (Cash RM100, Gift voucher 16. B 17. D 18. B 19. C 20. D
RM600), (Cash RM100, Gift voucher RM800), (Cash 21. B 22. B 23. D
RM300, Gift voucher RM200), (Cash RM300, Gift
voucher RM400), (Cash RM300, Gift voucher RM600), Subjective Questions PAPER 2
(Cash RM300, Gift voucher RM800), (Cash RM500,
Gift voucher RM200), (Cash RM500, Gift voucher 1. (a) 228° (b) 146°
RM400), (Cash RM500, Gift voucher RM600), (Cash 2. (a) 080° (b) 260°
RM500, Gift voucher RM800) 3. (a) 266° (b) 176° (c) 190°
{(Tunai RM100, Baucer hadiah RM200), (Tunai RM100, 4. (a) 251° (b) 113°
Baucer hadiah RM400), (Tunai RM100, Baucer hadiah
RM600), (Tunai RM100, Baucer hadiah RM800), (Tunai 5. (a) (i) 275° (ii) 125°
RM300, Baucer hadiah RM200), (Tunai RM300, Baucer (b) 28 km
hadiah RM400), (Tunai RM300, Baucer hadiah RM600), 6. (a) 232° (b) 352° (c) 112°
(Tunai RM300, Baucer hadiah RM800), (Tunai RM500, 7. (a) 245° (b) 115°
Baucer hadiah RM200), (Tunai RM500, Baucer hadiah
RM400), (Tunai RM500, Baucer hadiah RM600), (Tunai
RM500, Baucer hadiah RM800)}
(b) (i) {(Cash RM100, Gift voucher RM200), (Cash 1
RM100, Gift voucher RM400), (Cash RM100, Paper
Gift voucher RM600), (Cash RM100, Gift 1. D 2. A 3. D 4. A 5. D
voucher RM800), (Cash RM300, Gift voucher 6. B
RM400), (Cash RM500, Gift voucher RM400)}
{(Tunai RM100, Baucer hadiah RM200),
(Tunai RM100, Baucer hadiah RM400), (Tunai
RM100, Baucer hadiah RM600), (Tunai RM100, 1. (a) (i) 160° (ii) 200°
Baucer hadiah RM800), (Tunai RM300, Baucer (b) 23.94 m
hadiah RM400), (Tunai RM500, Baucer hadiah
1
RM400)}; —
2 PRACTICE Earth as a Sphere
(ii) {(Cash RM100, Gift voucher RM200), (Cash 9 Bumi sebagai Sfera
RM100, Gift voucher RM400), (Cash RM100,
Gift voucher RM600), (Cash RM100, Gift
voucher RM800), (Cash RM300, Gift voucher
RM200), (Cash RM300, Gift voucher RM400), Objective Questions PAPER 1
(Cash RM300, Gift voucher RM800), (Cash 1. B 2. B 3. A 4. C 5. B
RM500, Gift voucher RM200), (Cash RM500, 6. D 7. D 8. B 9. C 10. C
Gift voucher RM400), (Cash RM500, Gift 11. A 12. A 13. C 14. D 15. C
voucher RM600), (Tunai RM500, Gift voucher
RM800)} PAPER 2
{(Tunai RM100, Baucer hadiah RM200), (Tunai Subjective Questions
RM100, Baucer hadiah RM400), (Tunai RM100, 1. (a) 92°W / B
Baucer hadiah RM600), (Tunai RM100, Baucer (b) 7 680 nautical miles / batu nautika
hadiah RM800), (Tunai RM300, Baucer hadiah (c) 3 127.80 nautical miles / batu nautika


© Penerbitan Pelangi Sdn. Bhd. A6





12 Ans Hebat A+ Math F5.indd 6 26/02/2019 4:15 PM

Mathematics Form 5 Answers

(d) 8 hours / jam
2. (a) (i) 150°E / T PRACTICE Plans and Elevations
10
(ii) 2160 nautical miles Pelan dan Dongakan
2160 batu nautika
(b) 9°S
(c) (i) 1520.36 nautical miles Objective Questions PAPER 1
1520.36 batu nautika
(ii) 10.6 hours/10.6 jam 1. A 2. C 3. C 4. C 5. A
3. (a) 167°W / B 6. A
(b)
N / U
Subjective Questions PAPER 2
L
M 53°N / U
(The following diagrams are not drawn to full-scale.)
Q Rajah-rajah yang berikut tidak dilukis mengikut skala penuh.
O
1. (a) T/B Q U C
Equator / Khatulistiwa
P
S 13°E / T 14 cm
(53°S, 167°W) / (53°S, 167°B)
(c) 8 580 nautical miles / batu nautika
(d) (i) 4 800 nautical miles / batu nautika R/A P S D
(ii) 119°56W / B 4 cm 4 cm 6 cm
4. (a) T(40°N / U, 152°E / T) (b)
(b) (i) x = 12° (ii) y = 76° 5 cm P/Q 5 cm
(d) 10.1 hours / jam R/T S/U
8 cm
10 cm
8 cm
Paper 1 A/B 14 cm D/C
1. A 2. C 3. D 4. B 5. A
6. B 7. A 2. (a) (b)
Paper 2 F/E/P 4 cm R/Q 1 cm F 5 cm R/E 2 cm Q/P
1. (a) (35°S, 150°W) / (35°S, 150°B) G/N G N
(b) 85°W / B 3 cm 4 cm 3 cm
(c) 3 195 nautical miles / batu nautika 6 cm 6 cm
(d) 11.03 hours / jam H/M S K/L K/H L/S/M
2. (a) (80°S, 30°W)/(80°S, 30°B) 2 cm 2 cm
(b) 3 600 nautical miles / batu nautika A/D/V 4 cm T/U 1 cm B/C B/A C/T/D U/V
(c) 1 667.02 nautical miles / batu nautika
(d) 82.5°N / U
3. (a) V
3. (a) 110°W / B
(b) 78°W / B
(c) 4 800 nautical miles / batu nautika 4 cm
(d) (i) 6 000 nautical miles / batu nautika
(ii) 11.67 hours / jam H/G 3 cm
I/J E/F
4. (a) 150°W / B
(b) 25°N / U 3 cm
(c) 6 600 nautical miles / batu nautika
(d) (i) 3 932 nautical miles / batu nautika A/B 6 cm D/C
(ii) 697.41 knot
(b) (i) (ii)
5. (a) 155°E / T
(b) 4 987 nautical miles / batu nautika V K L
(c) 44°S I/A 4 cm J/B
(d) 14.93 hours / jam
V
3 cm
7 cm
K/G/P E/H/I F/Q/G/J
H L/N
1. (a) (i) 128°E / T (ii) q = 92° 3 cm 3 cm
(b) (i) 1 838.51 nautical miles / batu nautika
(ii) 6 000 nautical miles / batu nautika M D/A 4 cm C/P/B 2 cm M/N
(c) 10.75 hours / jam E/D F/C 2 cm

A7 © Penerbitan Pelangi Sdn. Bhd.





12 Ans Hebat A+ Math F5.indd 7 26/02/2019 4:15 PM

Mathematics Form 5 Answers

3. (a) D H G/L/C
Paper 2 5 cm
1. (a) (i) H/A 2 cm G 2 cm F 2 cm E/D
A E F/J/B K/I
2 cm 6 cm 6 cm
6 cm (b) (i) M/N
4 cm
E/H 6 cm F/G P/R
J/B K L M/C
4 cm
(ii) F/E L /M J/L K
3 cm
I
4 cm A/D 8 cm B/C 6 cm

H/G J/K (ii) N M
2 cm 4 cm
A/D 6 cm B/C H/G/R E/F/P
4 cm
(b) L/F 2 cm M/E L J/K
3 cm
D/C A/B/I
5 cm
6 cm
J /Q P K/G 4. (a) E / A D
1 cm
2 cm
B/A 6 cm C/D 4 cm

2. (a) E/F
B 4 cm C
D/J 3 cm C/I
5 cm (b) (i) E
3 cm

2 cm
A/G 6 cm B/H H / G
J / P / F
(b) (i) 3 cm J 3 cm
F/G I/H 3 cm

N / M 4 cm B / A 4 cm C / D

P/Q 2 cm N/R 8 cm
(ii)
E
4 cm
2 cm
E/A C/B J / H P
D/K M/L F / G
(ii) E 8 cm F 3 cm

2 cm
N/P
C/M/D I/J C / B / N 4 cm D / A / M
2 cm
3 cm
L/K 4 cm R/Q
B/A H/G


© Penerbitan Pelangi Sdn. Bhd. A8





12 Ans Hebat A+ Math F5.indd 8 26/02/2019 4:15 PM

Mathematics Form 5 Answers

3. (a) ∠RKJ (b) 25.6°
4. 3 168 cm 3
1. (a) 1 cm 2 cm 1 cm 2 cm 5. Durian = RM12, Jackfruit = RM2
H/D L U G/Q R Durian= RM12, Cempedak= RM2
6. (a) Not a statement / Bukan pernyataan
(b) Implication 1: If x = y, then x – y = 0.
5 cm
Implikasi 1: Jika x = y, maka x – y = 0.
Implication 2: If x – y = 0, then x = y.
E/A K T S Implikasi 2: Jika x – y = 0, maka x = y.
F/P/B (c) (n – 2) × 180°
(b) (i) 1 cm 1 cm 7. 24
K/L T/U
E/H F/G 8. (a) {(Miri, Kuching), (Miri, Sandakan), (Miri, Bintulu),
2 cm (Miri, Tawau), (Kuching, Miri), (Kuching, Sandakan),
3 cm (Kuching, Bintulu), (Kuching, Tawau), (Sandakan,
P/Q
Miri), (Sandakan, Kuching), (Sandakan, Bintulu),
A/D 4 cm B/C 2 cm S/R (Sandakan, Tawau), (Bintulu, Miri), (Bintulu, Kuching),
(Bintulu, Sandakan), (Bintulu, Tawau), (Tawau, Miri),
(ii) F/T/K/E G/U/L/H (Tawau, Kuching), (Tawau, Sandakan), (Tawau, Bintulu)},
1 cm n(S) = 20
M N (b) (i) {(Miri, Kuching), (Miri, Sandakan), (Miri, Bintulu),
1 cm
P Q (Miri, Tawau), (Kuching, Miri), (Kuching,
1 cm Sandakan), (Kuching, Bintulu), (Kuching,
S/B/A 5 cm R/C/D Tawau), (Bintulu, Miri), (Bintulu, Kuching),
(Bintulu, Sandakan), (Bintulu, Tawau)},
3
—
5
Paper 1 (ii) {(Sandakan, Miri), (Sandakan, Kuching),
(Sandakan, Bintulu), (Tawau, Miri), (Tawau,
1. B 2. C 3. B 4. A 5. D Kuching), (Tawau, Bintulu)},
6. D 7. C 8. B 9. D 10. B 3
—
11. D 12. C 13. D 14. B 15. D 10
16. A 17. C 18. D 19. A 20. B
5
4
21. A 22. C 23. D 24. A 25. D 9. (a) 68— cm (b) 169— cm 2
26. D 27. C 28. A 29. D 30. C 7 7
–1
31. A 32. D 33. D 34. A 35. B 10. (a) 300 s (b) 40 km h / 40 km j –1
36. B 37. D 38. A 39. D 40. C (c) 20 km
Paper 2 11. (a) 5j + 7k = RM285
12j + 8k = RM420
1. y (b) 1 5 7 j 285
k
4 12 8 21 2 = 1 420 2 ; j = 15, k = 30
y = x – 2
2 12. (a) x –2 –1 0 1 2.2 2.5 3 4 5
O 2 4 6 8 x y 17 9 5 5 10.3 12.5 17 29 45
–2 (b) y
y – 4 = – 2x 50
–4
45
2. (a)
40
P R 35
Q
30
25
20
(b) 15
P R 10 6.5
Q 5
–0.25 3.7 4.25
–3 –2 –1 0 1 2 3 4 5 x
–5
y = 6x + 7


A9 © Penerbitan Pelangi Sdn. Bhd.





12 Ans Hebat A+ Math F5.indd 9 26/02/2019 4:15 PM

Mathematics Form 5 Answers

(c) (i) 6.5 15. (a) M/T 5 cm L/Z 3 cm
(ii) 3.70 Q
(d) –0.25, 4.25
13. (a) (i) (2, 3)
(ii) (2, 0)
(iii) (6, 0)
6
(b) (i) Transformation X: A translation 1 2 . 10 cm
1
6
Transformasi X: Translasi pada 1 2 .
1
Transformation Y: An enlargement of scale
factor 2 with centre (7, 2).
Transformasi Y : Pembesaran dengan faktor
skala 2 pada (7, 2). J/P K/V R
(ii) 25 m 2
14. (a) Upper Cummulative (b) (i) J/M/S 5 cm K/L/W
Mass Frequency boundary frequency
Jisim 5 cm
(kg) Kekerapan Sempadan Kekerapan
atas longgokan
28 – 37 2 37.5 2
8 cm
38 – 47 4 47.5 6
48 – 57 8 57.5 14 5 cm
58 – 67 6 67.5 20
68 – 77 3 77.5 23 P/T/N V/Z/U
78 – 87 2 87.5 25 (ii)
K/J 10 cm L/M 5 cm W/S
(b) 56.5 kg
(c)
Cummulative frequency 4 cm
Kekerapan longgokan
28 R Q 8 cm
24
20
16 V/P Z/T U/N
12 16. (a) (25°N, 123°E) / (25°U, 123°T)
(b) 4 785.31 nautical miles
8 4 785.31 batu nautika
(c) 64°S
4 (d) 12.95 hours / 12.95 jam
Mass (kg)
0 Jisim (kg)
27.5 37.5 47.5 57.5 67.5 77.5 87.5
(d) 48%



















© Penerbitan Pelangi Sdn. Bhd. A10





12 Ans Hebat A+ Math F5.indd 10 26/02/2019 4:15 PM

Notes














































































A11





12 Ans Hebat A+ Math F5.indd 11 26/02/2019 4:15 PM

Notes














































































A12





12 Ans Hebat A+ Math F5.indd 12 26/02/2019 4:15 PM