Praktis Hebat 2021 - Mathematics

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Praktis

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Mathematics 4





Matematik Praktis
SPM Praktis




TITLES IN FORM Praktis Hebat! SPM is a series of topical practices based
THIS SERIES 4 5 on the latest KSSM syllabus and the latest SPM exam
Bahasa Melayu format. The exam-oriented questions aim to help students Praktis HEBAT! SPM KSSM
develop their mastery of concepts taught, as well as
English
familiarise them with the format of school assessments
Mathematics/Matematik
and the SPM examination. With the incorporation of
Additional Mathematics/ Higher Order Thinking Skills (HOTS) questions and
Matematik Tambahan
practices, students would be better prepared to ace
Science/Sains the examination with confidence. Complete answers are also
Physics/Fizik provided for all questions.
Chemistry/Kimia
Biology/Biologi FORMAT PEPERIKSAAN
SPM MULAI 2021 Matematik (1449)
Sejarah
PERKARA KERTAS 1 KERTAS 2
Pendidikan Islam
Ekonomi Form
Perniagaan Mathematics/Matematik
Prinsip Perakaunan

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First Published 2021 Matematik
SPM



FORM 4
KSSM Intensive Topical Practices


SPM-Oriented Questions

HOTS Practices
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CVR_PraktisHebat_2021_Mate_F4&5.indd 1-2 4/16/21 4:58 PM

CONTENTS







PRACTICE Quadratic Functions and Equations in One Variable 1
1 Fungsi dan Persamaan Kuadratik dalam Satu Pemboleh Ubah
HOTS Practices


PRACTICE Number Bases 6
2 Asas Nombor
HOTS Practices



PRACTICE Logical Reasoning 12
3 Penaakulan Logik
HOTS Practices


PRACTICE Operations on Sets 23
4 Operasi Set
HOTS Practices


PRACTICE Network in Graph Theory 33
5 Rangkaian dalam Teori Graf
HOTS Practices



PRACTICE Linear Inequalities in Two Variables 40
6 Ketaksamaan Linear dalam Dua Pemboleh Ubah
HOTS Practices


PRACTICE Graphs of Motion 47
7 Graf Gerakan
HOTS Practices



PRACTICE Measures of Dispersion for Ungrouped Data 55
8 Sukatan Serakan Data Tak Terkumpul
HOTS Practices



PRACTICE Probability of Combined Events 62
9 Kebarangkalian Peristiwa Bergabung
HOTS Practices


Consumer Mathematics: Financial Management 70
PRACTICE
10 Matematik Pengguna: Pengurusan Kewangan
HOTS Practices

Assessment Paper ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 75

Answers –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– A1– - A8







00 Contents Math F4.indd 1 21/04/2021 9:11 AM

PRACTICE Number Bases
2 Asas Nombor







PAPER 1
6. Write 2 + 2 + 2 + 2 + 1 as a number in base
5
6
3
Number Bases
2.1 TEXTBOOK two. PL3
Asas Nombor pg. 34 – 50
Tulis 2 + 2 + 2 + 2 + 1 sebagai nombor dalam
3
6
5
asas dua.
1. State two numbers after 455 6 . PL1 A 1100011 2 C 1110101 2
Nyatakan dua nombor selepas 455 6 . B 1101011 2 D 1110111 2
A 456 6 and / dan 457 6
7. Express 5(5 + 3 × 5) as a number in base five.
3
B 460 6 and / dan 461 6
Ungkapkan 5(5 + 3 × 5) sebagai nombor dalam
3
C 500 6 and / dan 501 6
asas lima. PL3
D 555 6 and / dan 1000 6
A 1003 5 C 10030 5
2. State the value of digit 3 in number 32614 7 in B 1030 5 D 10300 5
base ten. PL1
4
2
Nyatakan nilai bagi digit 3 dalam nombor 8. Given 3 × 5 + 5 + 5 × y = 30140 5 . Find y. PL3
4
2
32614 7 dalam asas sepuluh. Diberi 3 × 5 + 5 + 5 × y = 30140 5 . Cari y.
A 50 421 C 567 A 0 C 3
B 7 203 D 8 B 1 D 4
9. Given that 2 × 8 + 3 × 8 + 8m = 20350 8 , find
2
4
3. The digit value of digit 6 in the number 5632 7 the value of m. PL3
is PL2 Diberi bahawa 2 × 8 + 3 × 8 + 8m = 20350 8 ,
2
4
Nilai digit bagi digit 6 dalam nombor 5632 7 cari nilai m.
ialah A 0 C 3
A 294 C 364 B 2 D 5
B 324 D 380
10. Given that x 6 = 6 + (4 × 6) + (5 × 6 ), then x =
0
3
0
3
4. What is the value of digit 7, in base ten, in the Diberi bahawa x 6 = 6 + (4 × 6) + (5 × 6 ), maka
x = PL3
number 76540 8 ? PL2 A 1415 C 1055
Apakah nilai digit 7, dalam asas sepuluh, dalam
nombor 76540 8 ? B 1405 D 1045
A 28 672 C 448 11. Which of the following is equal to 28 10 ? PL2
B 3 584 D 56 Antara berikut, yang manakah bersamaan 28 10 ?
A 201 3 C 1001 3
5. What is the value of digit 6 in the number B 210 3 D 1021 3
7362 9 ? PL2 12. Express 511 10 as a number in base nine. PL4
Apakah nilai bagi digit 6 dalam nombor 7362 9 ? Ungkapkan 511 10 sebagai nombor dalam asas
A 6 C 54 sembilan.
B 24 D 56 A 511 9 C 616 9
B 526 9 D 627 9

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02 Praktis Hebat Math F4.indd 6 21/04/2021 9:12 AM

Mathematics Form 4 Practice 2 Number Bases

13. Express 21 10 as a number in base four. PL4 22. Given 675 4 = 1m3 9 where m is an integer,
Ungkapkan 21 10 sebagai nombor dalam asas calculate the value of m. PL4
empat. Diberi 675 4 = 1m3 9 dengan keadaan m ialah
A 41 4 C 101 4 integer, hitung nilai m.
B 31 4 D 111 4 A 5 C 7
B 6 D 8
e
14. Given 4022 5 = 8 , find the value of e. PL4
Diberi 4022 5 = 8 , cari nilai e. 23. Given 32 5 = E 6 = F 10 . Find the value of E – F.
e
A 2 C 4 Diberi 32 5 = E 6 = F 10 . Cari nilai E – F. PL4
B 3 D 5 A 7 C 17
B 8 D 35
15. Given that k25 6 = 89 10 . Find the value of k. PL4
Diberi bahawa k25 6 = 89 10 . Cari nilai k. 24. Convert 131 6 to a number in base five. PL4
A 0 C 2 Tukarkan 131 6 kepada nombor dalam asas
B 1 D 3 lima.
A 2100 5 C 201 5
16. Which of the following is correct? PL3
Antara yang berikut, yang manakah betul? B 210 5 D 120 5

A 78 10 > 88 9
25. Given 10110 2 = p 5 = k 8 . Determine the value of
B 78 10 < 1001111 2
p and of k. PL4
Diberi 10110 2 = p 5 = k 8 . Tentukan nilai p dan
C 78 10 > 303 5
nilai k.
D 78 10 = 2301 4
17. Convert 2 × 8 + 4 × 8 + 6 to a number in base A p = 42, k = 26 C p = 22, k = 42
4
3
eight. PL3 B p = 24, k = 42 D p = 42, k = 22
Tukar 2 × 8 + 4 × 8 + 6 kepada nombor dalam
3
4
asas lapan. 26. Find the value of k, if 2k20 5 = 517 8 . PL4
A 246 8 C 24006 8 Cari nilai k jika 2k20 5 = 517 8 .
B 2460 8 D 24060 8 A 3 C 1
B 2 D 0
18. Express 2 + 2 + 1 as a number in base two.
4
6
Ungkapkan 2 + 2 + 1 sebagai nombor dalam 27. 101100 2 + 1111 2 = PL4
6
4
asas dua. PL3 A 111101 2 C 110111 2
A 101001 2 C 1010001 2 B 111011 2 D 101111 2
B 101010 2 D 1010010 2
28. 35445 6 + 4113 6 = PL4
19. Convert 204 6 to a number in base eight. PL4 A 33552 6 C 44002 6
Tukarkan 204 6 kepada nombor dalam asas B 43452 6 D 44112 6
lapan.
A 14 8 C 114 8 29. 23301 4 + 1323 4 = PL4
B 24 8 D 214 8 A 21123 4 C 31230 4
B 21312 4 D 33131 4
20. Find the integer k such that k 8 = 11011 2 . PL4
Cari integer k dengan keadaan k 8 = 11011 2 . 30. 4503 7 + 3462 7 = PL4
A 43 C 23 A 1011 7 C 6165 7
B 33 D 13
B 1344 7 D 11265 7
21. Find the integer m such that m 8 = 10030 4 . PL4
Cari integer m dengan keadaan m 8 = 10030 4 . 31. 75008 9 − 6823 9 = PL4
A 114 C 414 A 63175 9 C 67175 9
B 144 D 441 B 67075 9 D 68185 9


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02 Praktis Hebat Math F4.indd 7 21/04/2021 9:12 AM

Mathematics Form 4 Practice 2 Number Bases

32. Given mathematical sentence PL4 38. 11101 2 – 1010 2 = 1p0q0 2 – 101 2
Diberi ayat matematik
Find the value of p and of q. PL4
Cari nilai p dan nilai q.
5 10 = 13 p − 5 10
What is the value of p? A p = 1, q = 1 C p = 0, q = 1
Apakah nilai p? B p = 1, q = 0 D p = 0, q = 0
A 9 C 7 39. Calculate the sum of 10101 2 and 1010111 2 in
B 8 D 6
base seven. PL4
33. Find the value of g, given 12122 3 = g 10 + 7 10 . Hitung hasil tambah bagi 10101 2 dan 1010111 2
Cari nilai g, diberi 12122 3 = g 10 + 7 10 . PL4 dalam asas tujuh.
A 145 C 152 A 153 7 C 223 7
B 150 D 160 B 213 7 D 313 7
1
34. Given 3210 4 − Q 4 = 2221 4 , what is the value 40. Ms Jenny plants 100 roses in her garden. of
5
1
of Q? PL4 them are yellow roses, of them are red roses
Diberi 3210 4 − Q 4 = 2221 4 , apakah nilai Q? 4
A 1023 C 323 and the remaining are white roses. What is the
B 1003 D 223 number of white roses, in base four? PL5
Cik Jenny menanam 100 batang bunga ros di
1
1
35. Given that 5714 8 – 101101011 2 = k 4 . Calculate tamannya. daripadanya adalah ros kuning,
4
5
the value of k. PL4 daripadanya adalah ros merah dan selebihnya
Diberi bahawa 5714 8 – 101101011 2 = k 4 . Hitung adalah ros putih. Berapakah bilangan ros putih,
nilai k. dalam asas empat?
A 211221 A 311 4 C 313 4
B 212021 B 312 4 D 331 4
C 22 1121
D 221201 41.

a
b
36. Given that 4(8 ) + 7(8 ) + 2 = 100000111010 2
where a and b are positive integers and a > b.
RM1262 8
Calculate the value of 2b – a. HOTS PL4
Diberi bahawa 4(8 ) + 7(8 ) + 2 = 100000111010 2
b
a
dengan keadaan a dan b ialah integer positif
dan a > b. Hitung nilai 2b – a. The diagram above shows the price of a bicycle
A –5 C 0 in a shop. During Merdeka sales, Aiman bought
the bicycle with a 20% discount. How much did
B –1 D 5 Aiman paid for the bicycle? HOTS PL5
Rajah di atas menunjukkan harga sebuah basikal
37. Given that K 7 = 10102 4 , find the value of K. PL4
Diberi bahawa K 7 = 10102 4 , cari nilai K. di sebuah kedai. Semasa jualan Merdeka, Aiman
membeli basikal itu dengan diskaun 20%.
A 541 Berapakah harga yang dibayar oleh Aiman untuk
B 614 membeli basikal itu?
C 3124 A RM832 9 C RM20220 4
D 41311 B RM4423 5 D RM221012 3










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02 Praktis Hebat Math F4.indd 8 21/04/2021 9:12 AM

Mathematics Form 4 Practice 2 Number Bases

PAPER 2

1. (a) State three consecutive numbers after 3. The digit value of k, in base ten, in k46 8 is 192.

TEXTBOOK Nyatakan tiga nombor yang berturutan TEXTBOOK Nilai digit k dalam asas sepuluh, dalam k46 8
pg. 34 – 50 pg. 34 – 50
selepas PL4 Subtopic 2.1 ialah 192. PL4 Subtopic 2.1
(i) 1002 3 (a) Cari digit yang diwakili oleh k.
(ii) 465 7 Find the digit represented by k.
(b) (b) Hence, write k46 8 as a number in base five.
Seterusnya, tulis k46 8 sebagai nombor
dalam asas lima.
Find the difference in digit values between [3 marks / markah]
the two underlined digits in the diagram
above. PL3 Subtopic 2.1
Cari beza antara nilai digit bagi dua digit
yang bergaris dalam rajah di atas.
[5 marks / markah]














4. The diagram below shows the positions of P, Q
TEXTBOOK and R. HOTS PL6 Subtopic 2.1
pg. 34 – 50
2. Given x and y are the values in base ten for the Rajah di bawah menunjukkan kedudukan P, Q
TEXTBOOK digit 4 in the numbers 413 8 and 413 5 respectively. dan R.
pg. 34 – 50
Calculate the value of x – y. Hence, express
x – y as a number in base two. PL4 Subtopic 2.1 P Q R
Diberi x dan y masing-masing ialah nilai dalam 61 8 x 5 109 10
asas sepuluh bagi digit 4 dalam nombor 413 8
dan 413 5 . Hitung nilai bagi x – y. Seterusnya, The ratio of the length of PQ to QR is 1 : 3.
ungkapkan x – y sebagai nombor dalam asas State the value of x.
dua. Nisbah panjang PQ kepada QR ialah 1 : 3.
[4 marks / markah] Nyatakan nilai x.
[3 marks / markah]





















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02 Praktis Hebat Math F4.indd 9 21/04/2021 9:12 AM

Mathematics Form 4 Practice 2 Number Bases

5. Mei Ching buys a gift for her mother with 7. (a) Given 10101 2 < X < 100 5 , where X is an
TEXTBOOK 30% discount. The original price of the gift is TEXTBOOK integer in base 3. List all the possible values
pg. 34 – 50 pg. 34 – 50
RM214 8 . How much is the price paid by Mei of X. PL4 Subtopic 2.1
Ching, in base two? PL5 Subtopic 2.1 Diberi 10101 2 < X < 100 5 dengan keadaan
Mei Ching membeli sebuah hadiah untuk ibunya X ialah suatu integer dalam asas 3.
dengan 30% diskaun. Harga asal hadiah tersebut Senaraikan semua nilai X yang mungkin.
ialah RM214 8 . Berapakah harga yang dibayar (b) The diagram below shows the prices of
oleh Mei Ching, dalam asas dua? three brands of alarm clocks sold in a shop.
[4 marks / markah] Rajah di bawah menunjukkan harga bagi
tiga jenama jam loceng yang dijual di
sebuah kedai.






6. The number of customers who visits Happy Mart
TEXTBOOK in a week is 2020 7 . What is the average number Brand P Brand Q Brand R
pg. 34 – 50 Jenama P Jenama Q Jenama R
of customers per day in that week if Happy RM1010 RM26 RM21
Mart opens every day. Give your answer in base 2 8 4
seven. HOTS PL5 Subtopic 2.1 Arrange the brands of the three alarm
Bilangan pelanggan yang mengunjungi Happy clocks according to the prices in descending
Mart pada suatu minggu ialah 2020 7 orang. order.
Berapakah purata bilangan pelanggan setiap Susun jenama bagi ketiga-tiga jam loceng
hari pada minggu itu sekiranya Happy Mart itu mengikut harga dalam tertib menurun.
dibuka pada setiap hari. Berikan jawapan anda [8 marks / markah]
dalam asas tujuh.
[4 marks / markah]













TS
TS
HOTS Practices PAK-21
HO
HO
Practices
1. The table shows the marks obtained by Raziq in his tests.
Jadual berikut menunjukkan markah yang diperoleh Raziq dalam ujiannya.
Test 1 Test 2 Test 3
Ujian 1 Ujian 2 Ujian 3

64 8 x
220 3
(a) What is the total marks, in base ten, obtained by Raziq in Test 1 and Test 2?
Berapakah jumlah markah, dalam asas sepuluh, yang diperoleh Raziq dalam Ujian 1 dan Ujian 2?







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02 Praktis Hebat Math F4.indd 10 21/04/2021 9:12 AM

Mathematics Form 4 Practice 2 Number Bases

(b) Given that Raziq has to obtain average of at least 40 marks in the three tests to pass his exam. What
is the minimum mark, in base five, that has to be scored by Raziq in Test 3 to pass his exam?
Diberi bahawa Raziq perlu mencapai markah purata sekurang-kurangnya 40 markah dalam ketiga-
tiga ujian itu untuk lulus peperiksaan Berapakah markah minimum, dalam asas lima, yang perlu
dicapai oleh Raziq dalam Ujian 3 untuk lulus peperiksaan tersebut?
2. The table below shows the meter readings for the water usage in Mr Ng’s and Mr Lee’s houses.
Jadual di bawah menunjukkan bacaan meter bagi penggunaan air di rumah Encik Ng dan Encik Lee pada
suatu bulan tertentu.

House Mr Ng Mr Lee
Rumah Encik Ng Encik Lee

Initial reading (m )
3
Bacaan awal (m ) 1027 9 7251 8
3
Final reading (m )
3
3
Bacaan akhir (m ) 1083 9 7344 8
(a) Calculate the total water usage in base ten of Mr Ng’s and Mr Lee’s houses in that month.
Hitung jumlah penggunaan air dalam asas sepuluh bagi rumah Encik Ng dan Encik Lee pada bulan
itu.
(b) The calculation for the payment of water usage are based on the table below. Calculate the difference
of the payment of water usage between Mr Ng and Mr Lee.
Pengiraan bayaran penggunaan air adalah berdasarkan jadual di bawah. Hitung beza jumlah
bayaran penggunaan air antara Encik Ng dan Encik Lee.

Total usage (m ) Tariff rate per m (RM)
3
3
Jumlah penggunaan (m ) Kadar tarif per m (RM)
3
3
0 – 20 0.80
21 – 35 2.00
Exceeds 35
Melebihi 35 3.00


























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02 Praktis Hebat Math F4.indd 11 21/04/2021 9:12 AM

ANSWERS




11. C 12. D 13. D 14. B 15. C
Quadratic Functions and Equations in One 16. B 17. C 18. C 19. C 20. B
practice 21. C 22. A 23. B 24. B 25. A
1 Variable 26. A 27. B 28. C 29. C 30. D
Fungsi dan Persamaan Kuadratik dalam Satu
Pemboleh Ubah 31. B 32. C 33. A 34. C 35. D
36. B 37. A 38. B 39. B 40. C
PAPER 1 41. C
1. B 2. C 3. C 4. B 5. D PAPER 2
6. B 7. B 8. D 9. B 10. D
11. A 12. A 1. (a) (i) 1010 , 1011 , 1012
3
3
3
(ii) 466 , 500 , 501
PAPER 2 (b) 28 7 7 7
1. (a), (b) f(x) 2. 156; 10011100 2
3. (a) k = 3 (b) 1410 5
4. 224
5. RM1100010
2
6. 202
7
x 7. (a) 211 , 212 , 220
O 3 3 3
(b) Brand Q, Brand P, Brand R
2. (a) y-intercept / pintasan-y = 5 Jenama Q, Jenama P, Jenama R
(b) x-intercept, / pintasan-x = 5, 1
TS
TS
HO
HO
TS
HO
HO
TS
HOTS
Practices
Practices
3. (a) x − 3x − 304 = 0 5 HOTS Practices Practices
2
(b) x = 19 or / atau x = –16 1. (a) 76 (b) 134
5
4. 8 or / atau − 2 2. (a) Mr Ng / Encik Ng: 50 m 3
3 5 Mr Lee / Encik Lee: 59 m 3
7
5. – or / atau 3 (b) RM27
2
6. 35 cm
7. 416 cm 2
8. (a) 3n + 4n − 39 = 0 practice
2
(b) Female friends / Kawan perempuan 3 Logical Reasoning
= 27 Penaakulan Logik
Male friends / Kawan lelaki
= 9 PAPER 1
9. (a) (i) Yes / Ya (iii) Yes / Ya (ii) No / Tidak 1. A 2. B 3. B 4. D 5. B
(b) f(x) 6. C 7. B 8. B 9. C 10. B
11. D 12. C 13. B 14. D 15. D
16. A 17. C 18. B 19. D 20. C
x 21. B 22. C 23. C
–3 O 1
2 PAPER 2
–9 1. (a) (i) Some prime numbers are even numbers.
Sebilangan nombor perdana ialah nombor genap.
10. (a) 6, –5 (ii) All multiples of 5 are multiples of 10.
(b) f(x) Semua gandaan bagi 5 ialah gandaan bagi 10.
(b) (i) K  J (ii) J  K  K
30 (Any equivalent answers/ Mana-mana jawapan yang
setara)
2. (a) (i) False / Palsu (ii) True / Benar
(b) Implication 1: If k = 216, then k = 6.
3
x
3
–5 O 6 Implikasi 1: Jika k = 216, maka k = 6.
3
Implication 2: If k = 6, then k = 216.
HO
HOTS Practices Implikasi 2: Jika k = 6, maka k = 216.
HO
TS
TS
3
Practices
k = 3.5 cm 3. (a) (i) 3 × 4 = 7 or −6 − 4 = −10
3 × 4 = 7 atau −6 − 4 = −10
(ii) 1 = 0.5 and cos 60° = 0.5
practice 2 1
2 Number Bases 2 = 0.5 dan kos 60° = 0.5
Asas Nombor
(b) Implication 1: If p − q , 0, then p , q.
Implikasi 1: Jika p − q , 0, maka p , q.
PAPER 1
1. C 2. B 3. A 4. A 5. C Implication 2: If p , q, then p − q , 0.
6. B 7. D 8. D 9. D 10. D Implikasi 2: Jika p , q, maka p − q , 0.
A1 © Penerbitan Pelangi Sdn. Bhd.
12 Answers Prak. Hebat Math F4.indd 1 21/04/2021 9:21 AM

Mathematics Form 4 Answers

4. (a) Some / Sebilangan Implikasi 1: Jika sebuah segi tiga adalah sama sisi,
(b) Converse: If a polygon is a triangle, then the polygon maka semua sudut pedalaman segi tiga itu ialah 60°.
has three sides. Implication 2: If all the interior angles of a triangle are
Akas: Jika sebuah poligon adalah segi tiga, maka 60°, then the triangle is an equilateral.
poligon itu mempunyai tiga sisi. Implikasi 2: Jika semua sudut pedalaman sebuah segi
Inverse: If a polygon does not have three sides, then tiga ialah 60°, maka segi tiga itu adalah sama sisi.
the polygon is not a triangle. (c) T = 2(1 − n ) + 3n, n = 1, 2, 3, 4, …
2
Songsangan: Jika sebuah poligon tidak mempunyai n
tiga sisi, maka poligon itu bukan segi tiga. HOTS Practices Practices
TS
TS
HO
HO
HOTS
HO
HO
TS
TS
Practices
Practices
Contrapositive: If a polygon is not a triangle, then the
polygon does not have three sides. 1. (a) 2 = 128
7
Kontrapositif: Jika sebuah poligon bukan segi tiga, (b) Strong and not cogent./ Kuat dan tidak meyakinkan.
maka poligon itu tidak mempunyai tiga sisi. 2. (a) 18π, 72π, 288π, 1152π (b) 1 179 648π cm 2
5. (a) Implication 1: If x + 5 . 6, then x . 2
Implikasi 1: Jika x + 5 . 6, maka x . 2
Implication 2: If x . 2, then x + 5 . 6
Implikasi 2: Jika x . 2, maka x + 5 . 6 practice Operations on Sets
(b) (n − 2) × 180° 4
6. (a) If the value of digit 3 in the number 2321 is not Operasi Set
4
3
3 × 4 , then 2321 is not a number in base 4. False
4
3
Jika nilai digit 3 dalam nombor 2321 bukan 3 × 4 , PAPER 1
4
maka 2321 bukan nombor dalam asas 4. Palsu 1. C 2. C 3. A 4. B 5. B
4
(b) Premise 2: 2 is the factor of 12. 6. B 7. D 8. A 9. D 10. B
Premis 2: 2 ialah faktor bagi 12. 11. B 12. D 13. A 14. B 15. C
19. D
20. D
18. B
16. A
17. B
7. (a) (i) True statement / Pernyataan benar 21. B 22. C 23. B 24. C 25. C
(ii) False statement / Pernyataan palsu 26. D 27. B 28. A 29. A 30. B
(b) (i) Premise 2: cos 30° = 0.5 31. A 32. C 33. C 34. B 35. C
Premis 2: kos 30° = 0.5
(ii) Tidak sah / Not sound PAPER 2
8. (a) (i) False statement / Pernyataan palsu 1. (a) k = 9 (b) 27
(ii) False statement / Pernyataan palsu 2. (a) {5} (b) {2, 4, 5, 6, 7}
(b) 900° (c) {5} (d) {2, 3, 4, 5, 6, 7}
9. (a) False statement / Pernyataan palsu 3. (a) {1, 4, 6, 8, 9} (b) {2, 3, 6, 8, 9}
(b) (i) Premise 2: y = mx – 12 is the equation of a (c) {1, 2, 3, 4, 6, 8, 9} (d) {2, 3, 6}
straight line 4. (a) K L M
Premis 2: y = mx – 12 ialah persamaan garis lurus
(ii) Not valid / Tidak sah
(c) (i) p = 13
(ii) (a) 25n (4 – π) cm (b) 772.2 cm 2
2
2
1 (b) K L M
10. (a) (i) 729 = 27 or 6 = 36
3
2
1
3
729 = 27 atau 6 = 36
2
(ii) If (−3) , (−2) , maka −3 , −2. True
3
2
Jika (−3) , (−2) , maka −3 , −2. Benar
3
2
(b) (i) My quiz score is lower than Cindy / Danish / 5. (a) (F  G) > E or E > F 
Alice. (F  G) > E atau E > F 
Markah kuiz saya lebih rendah daripada Cindy / (b) E > F > G
Danish / Alice. 6. (a) G (b) (P > Q)  R
(Or any equivalent answer / Atau jawapan yang H
setara)
(ii) Balveer, Cindy, Danish, Alice
11. (a) If 60° + 120° ≠ 180°, then 60° and 120° are not
conjugate angles. True 7. (a) D  C
Jika 60° + 120° ≠ 180°, maka 60° dan 120° bukan sudut (b)
konjugat. Benar ξ L K J
(b) (i) Weak and not cogent because the conclusion is
false.
Lemah dan tidak meyakinkan kerana
kesimpulan adalah palsu. 8. (a) (i) Y = {22, 24, 26, 28, 31, 33, 35, 37, 39, 40}
(ii) Strong and not cogent because the conclusion Z = {21, 24, 27, 30, 33, 36, 39}
is true but premise 2 is false. (ii) {21, 30}
Kuat dan tidak meyakinkan kerana kesimpulan (iii) 16
adalah benar tetapi premis 2 adalah palsu. (b) (i)
12. (a) Not a statement/ Bukan pernyataan P Q R
(b) Implication 1: If a triangle is equilateral, then all the
interior angles of the triangle are 60°.
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