MATHZIER 1.0 matematik Tahun 6

GLOBAL MEDIASTREET SDN. BHD.

Nombor Bulat dan Operasi 1 – 10 Whole Numbers and Operations Pecahan, Perpuluhan dan Peratus 11 – 19 Fractions, Decimals and Percentages Wang 20 – 31 Money Masa dan Waktu 32 – 43 Time Ukuran dan Sukatan 44 – 56 Measurement Ruang 57 – 70 Space Koordinat, Nisbah dan Kadaran 71 – 85 Coordinates, Ratio and Proportion Pengurusan Data dan Kebolehjadian 86 – 100 Data Handling and Likelihood PENILAIAN AKHIR TAHUN 101 – 118 FINAL YEAR ASSESSMENT JAWAPAN J1 – J8 ANSWERS KANDUNGAN CONTENTS Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 PENILAIAN PERTENGAHAN TAHUN Imbas KOD QR 00_Mathzier1.0 Mate Thn6 Edisi 2022_Kan 2nd.indd 1 9/12/22 11:01 AM GLOBAL MEDIASTREET SDN. BHD.

1 © Global Mediastreet Sdn. Bhd. (762284-U) 4 Nyatakan nilai tempat digit 8 dalam nombor 4 852 901. State the place value of the digit 8 in the number 4 852 901. A Ratus/Hundreds B Ribu/Thousands C Puluh ribu/Ten thousands D Ratus ribu/Hundred thousands 5 4 125 000 = A 4 1 8 juta/million B 4 1 5 juta/million C 4 1 4 juta/million D 4 1 2 juta/million 6 Antara berikut, yang manakah tidak betul? Which of the following is not correct? A 3 2 5 juta/million = 3 400 000 B 3.5 juta/million = 3 500 000 C 2 3 8 juta/million = 2 375 000 D 1.25 juta/million = 1 025 000 7 Rajah di bawah menunjukkan satu garis nombor. The diagram below shows a number line. Nyatakan nilai P dalam nombor bulat. State the value of P in a whole number. A 125 000 B 250 000 C 500 000 D 625 000 P 1 2 juta/million 3 4 juta/million Kertas 1 Jawab semua soalan. Bagi setiap soalan, pilih satu jawapan sahaja daripada pilihan jawapan A, B, C dan D. Answer all questions. For each question, choose one answer only from the answer options A, B, C and D. 1.1 Nombor Bulat Hingga 10 000 000 Whole Number Up to 10 000 000 1 Tujuh juta lima ratus ribu tujuh ratus tujuh Seven million five hundred thousand seven hundred and seven Nyatakan nombor itu dalam angka. State the number in numerals. A 7 057 707 C 7 700 707 B 7 500 707 D 7 705 707 2 Rajah di bawah menunjukkan sekeping kad nombor. The diagram below shows a number card. 5 809 906 Nyatakan nombor itu dalam perkataan. State the number in words. A Lima juta lapan ratus sembilan ribu sembilan ratus enam Five million eight hundred nine thousand nine hundred and six B Lima juta lapan ratus sembilan ribu sembilan puluh enam Five million eight hundred nine thousand and ninety-six C Lima juta lapan puluh sembilan ribu sembilan ratus enam Five million eighty-nine thousand nine hundred and six D Lima juta lapan puluh sembilan ribu sembilan puluh enam Five million eighty-nine thousand and ninetysix 3 Tukarkan 2.05 juta kepada nombor bulat. Convert 2.05 million to a whole number. A 2 000 500 C 2 050 000 B 2 005 000 D 2 500 000 NOMBOR BULAT DAN OPERASI WHOLE NUMBERS AND OPERATIONS UNIT 1 01_Mathzier1.0 Mate Thn6 Edisi 2022_U1 5th.indd 1 9/12/22 11:01 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 2 8 Rajah di bawah menunjukkan beberapa kad nombor yang disusun berpola. The diagram below shows several number cards arranged in a pattern. Apakah nilai P? What is the value of P? A 25 600 B 24 000 C 20 500 D 20 000 1.2 Operasi Asas dan Operasi Bergabung Basic and Mixed Operations 9 1.65 juta – 0.5 juta + 3.25 juta = 1.65 million – 0.5 million + 3.25 million = A 4 400 000 B 4 600 000 C 4 800 000 D 5 000 000 10 4 350 000 + 1 7 10 juta = 4 350 000 + 1 7 10 million = A 6 000 000 B 6 050 000 C 6 100 000 D 6 150 000 11 6.5 juta – 0.375 juta = 6.5 million – 0.375 million = A 6 005 000 B 6 025 000 C 6 100 000 D 6 125 000 12 1.75 juta + 3 2 5 juta – 50 000 = 1.75 million + 3 2 5 million – 50 000 = A 1 1 10 juta/million B 3 1 10 juta/million C 4 1 10 juta/million D 5 1 10 juta/million 400 1 600 6 400 P 13 – 1 1 10 juta = 3 3 5 juta – 1 1 10 million = 3 3 5 million Apakah nombor yang perlu ditulis pada petak kosong itu? What number must be written in the empty box? A 3.6 juta/million B 4.7 juta/million C 5.8 juta/million D 6.9 juta/million 14 1.9 juta + 0.3 juta × 5 = 1.9 million + 0.3 million × 5 = A 3.0 juta/million B 3.2 juta/million C 3.4 juta/million D 3.6 juta/million 15 35 × 25 ribu = 35 × 25 thousands = A 3 4 juta/million B 4 5 juta/million C 7 8 juta/million D 9 10 juta/million 16 0.56 juta + 1 3 10 juta × 4 = 0.56 million + 1 3 10 million × 4 = A 5.56 juta/million B 5.76 juta/million C 5.86 juta/million D 5.96 juta/million 17 4.6 juta – 1.1 juta ÷ 50 = 4.6 million – 1.1 million ÷ 50 = A 1 170 000 B 2 678 000 C 4 578 000 D 6 670 000 18 (9.5 juta – 2 3 5 juta) ÷ 3 = (9.5 million – 2 3 5 million) ÷ 3 = A 2 300 000 B 2 400 000 C 2 500 000 D 2 600 000 01_Mathzier1.0 Mate Thn6 Edisi 2022_U1 5th.indd 2 9/12/22 11:01 AM GLOBAL MEDIASTREET SDN. BHD.

3 © Global Mediastreet Sdn. Bhd. (762284-U) 19 Q + 4.35 juta × 2 = 9 juta Apakah nilai Q? Q + 4.35 million × 2 = 9 million What is the value of Q? A 0.3 juta/million B 0.25 juta/million C 0.15 juta/million D 0.12 juta/million 20 (1.075 juta – P) × 5 = 0.65 juta Apakah nilai P? (1.075 million – P) × 5 = 0.65 million What is the value of P? A 940 000 C 950 000 B 945 000 D 955 000 21 Rajah di bawah menunjukkan nilai wang di dalam dua kotak derma. The diagram below shows the amount of money in two donation boxes. Hitung beza antara nilai wang derma kotak X dengan kotak Y. Calculate the difference in the amount of money between boxes X and Y. A RM25 000 C RM60 000 B RM55 000 D RM80 000 22 Jadual di bawah menunjukkan bilangan majalah yang dicetak oleh dua buah kilang, P dan Q. The table below shows the number of magazines printed by two factories, P and Q. Kilang Factory Bilangan majalah Number of magazines P 0.25 juta 0.25 million Q 2 kali kilang P 2 times of factory P Hitung jumlah bilangan majalah yang dicetak oleh kedua-dua kilang itu. Calculate the total number of magazines printed by both factories. A 250 000 C 750 000 B 500 000 D 1 000 000 RM0.025 juta RM0.025 million RM0.105 juta RM0.105 million X Y 1.3 Nombor Perdana dan Nombor Gubahan Prime Numbers and Composite Numbers 23 Antara berikut, yang manakah ialah nombor perdana? Which of the following is a prime number? A 21 B 25 C 27 D 29 24 Antara berikut, yang manakah ialah nombor gubahan? Which of the following is a composite number? A 29 B 31 C 33 D 37 25 Antara berikut, yang manakah tidak betul? Which of the following is not correct? Nombor perdana Prime number Nombor gubahan Composite number A 5 10 B 25 41 C 81 82 D 97 100 1.4 Penyelesaian Masalah Problems Solving 26 Sebuah kotak mengandungi 365 700 biji bola pingpong. Hitung bilangan bola pingpong yang perlu ditambah lagi supaya jumlah bilangan bola pingpong di dalam kotak itu ialah 1 2 juta biji. A box contains 365 700 ping pong balls. How many more ping pong balls need to be added so that the total number of ping pong balls in the box is 1 2 million? A 134 300 B 135 300 C 136 300 D 137 300 01_Mathzier1.0 Mate Thn6 Edisi 2022_U1 5th.indd 3 9/12/22 11:01 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 4 27 Jadual di bawah menunjukkan bilangan kasut yang dijual oleh Syarikat Jaya dalam tiga tahun. The table below shows the number of shoes sold by Syarikat Jaya in three years. Tahun Year Bilangan kasut Number of shoes 2020 1 350 000 2021 0.5 juta kurang daripada tahun 2020 0.5 million less than 2020 2022 1 1 5 juta lebih daripada tahun 2021 1 1 5 million more than 2021 Hitung bilangan kasut yang dijual pada tahun 2022. Calculate the total number of shoes sold in 2022. A 1.2 juta/million B 1.55 juta/million C 2.0 juta/million D 2.05 juta/million 28 Sebuah album setem mengandungi sejumlah 0.001 juta keping setem tempatan dan setem luar negara. Bilangan setem tempatan adalah 420 keping lebih daripada setem luar negara. Hitung bilangan setem luar negara. A stamp album contains a total of 0.001 million local and overseas stamps. The number of local stamps is 420 more than overseas stamps. Calculate the number of overseas stamps. A 710 C 290 B 580 D 210 29 Sebuah kedai alat tulis mempunyai 0.045 juta batang pen hitam. Kesemua pen itu telah dibungkus ke dalam peket kecil. Setiap peket mengandungi lima pen hitam. Sebanyak 6 800 bungkus pen telah dijual. Hitung bungkusan pen yang belum dijual. A stationery shop has 0.045 million black pens. All the pens were packed into smaller packets. Each packet contains five black pens. A total of 6 800 packets were sold. Calculate the number of unsold packets of pens. A 9 000 B 8 200 C 4 800 D 2 200 30 Jadual di bawah menunjukkan bilangan pengunjung ke Muzium Negara dalam masa tiga bulan. The table below shows the number of visitors to National Museum in three months. Bulan Month Bilangan pengunjung Number of visitors Oktober October 50 000 November November 2 kali bilangan pengunjung bulan Oktober 2 times the number of visitors in October Disember December 3 kali bilangan pengunjung bulan November 3 times the number of visitors in November Hitung jumlah bilangan pengunjung dalam tiga bulan itu. Calculate the total number of visitors in three months. A 0.1 juta/million C 0.45 juta/million B 0.3 juta/million D 0.5 juta/million 31 Syarikat Ummi menghasilkan 2.05 juta botol sos cili. Sebanyak 1.5 juta botol cili telah dieksport dan bakinya diagihkan sama banyak kepada 20 buah pasar raya tempatan. Hitung bilangan botol sos cili yang diterima oleh setiap pasar raya tempatan. Syarikat Ummi produced 2.05 million bottles of chilli sauce. 1.5 million bottles of chilli sauce were exported and the balance were distributed equally to 20 local supermarkets. Calculate the number of bottles of chilli sauce received by each local supermarket. A 26 000 C 27 000 B 26 500 D 27 500 32 Sebuah syarikat mengeluarkan 0.05 juta diari. Kesemua diari itu diberikan sama banyak kepada 25 pejabat kerajaan. Hitung bilangan diari yang diperoleh 19 pejabat kerajaan. A company produced 0.05 million diaries. All the diaries were given equally to 25 government offices. Calculate the number of diaries received by 19 government offices. A 3 800 C 38 000 B 4 200 D 42 000 01_Mathzier1.0 Mate Thn6 Edisi 2022_U1 5th.indd 4 9/12/22 11:01 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 8 13 (a) Rajah di bawah menunjukkan bilangan selimut yang dikumpul oleh tiga kumpulan sukarelawan. The diagram below shows the number of blankets collected by three groups of volunteers. Kesemua selimut itu telah diagihkan sama banyak kepada lima buah negeri yang mengalami bencana banjir. Hitung bilangan selimut yang diagihkan kepada setiap negeri. All the blankets were distributed equally to five states where flood occurred. Calculate the number of blankets distributed to each state. Bilangan selimut = 0.02 juta ÷ 5 = 20 000 ÷ 5 = 4 000 (b) Rajah di bawah menunjukkan bilangan bola sepak yang dihasilkan oleh sebuah kilang dalam tiga bulan. The diagram below shows the number of soccer balls produced by a factory in three months. Hitung bilangan bola sepak yang dihasilkan pada bulan Mac. Calculate the number of soccer balls produced in March. Bilangan bola sepak = 3.5 juta – 0.95 juta – 1.05 juta = 3 500 000 – 950 000 – 1 050 000 = 1 500 000 0.02 juta 0.02 million Januari January 0.95 juta 0.95 million Februari February 1.05 juta 1.05 million Mac March ? Jumlah Total 3.5 juta 3.5 million 14 Jadual di bawah menunjukkan bilangan kemeja yang dihasilkan dalam empat bulan. The table below shows the number of shirts produced in four months. Bulan Month Bilangan kemeja Number of shirts September September 0.5 juta 0.5 million Oktober October 0.2 juta lebih daripada bulan September 0.2 million more than September November November 0.5 juta 0.5 million Disember December 1.2 juta 1.2 million (a) Hitung bilangan kemeja yang dihasilkan pada bulan Oktober. Calculate the number of shirts produced in October. Bilangan kemeja = 0.5 juta + 0.2 juta = 0.7 juta = 700 000 (b) Hitung jumlah bilangan kemeja yang dihasilkan dalam empat bulan itu. Calculate the total number of shirts produced in four months. Jumlah bilangan kemeja = 0.5 juta + 0.7 juta + 0.5 juta + 1.2 juta = 2.9 juta = 2 900 000 (c) Kesemua kemeja yang dihasilkan pada bulan Disember telah diedarkan sama banyak kepada 100 buah kedai. Hitung bilangan kemeja yang diedarkan kepada setiap kedai. All the shirts produced in December were distributed equally to 100 shops. Calculate the number of shirts distributed to each shop. Bilangan kemeja = 1.2 juta ÷ 100 = 1 200 000 ÷ 100 = 12 000 01_Mathzier1.0 Mate Thn6 Edisi 2022_U1 5th.indd 8 9/12/22 11:01 AM GLOBAL MEDIASTREET SDN. BHD.

9 © Global Mediastreet Sdn. Bhd. (762284-U) 15 Jadual di bawah menunjukkan bilangan motosikal yang melalui Lebuh Raya Maju pada tiga hari bekerja. The table below shows the number of motorcycles passing through Maju Expressway in three working days. Hari Day Bilangan motosikal Number of motorcycles Isnin Monday 0.2 juta 0.2 million Selasa Tuesday 0.35 juta 0.35 million Rabu Wednesday 2 kali hari Isnin 2 times of Monday (a) Hitung bilangan motosikal yang melalui Lebuh Raya Maju pada hari Rabu. Calculate the number of motorcycles passing through Maju Expressway on Wednesday. Bilangan motosikal = 2 × 0.2 juta = 0.4 juta = 400 000 (b) Hitung jumlah bilangan motosikal yang melalui Lebuh Raya Maju dalam tiga hari. Calculate the total number of motorcycles passing through Maju Expressway in three days. Jumlah bilangan motosikal = 0.2 juta + 0.35 juta + 0.4 juta = 0.95 juta = 950 000 16 Jadual di bawah menunjukkan bilangan kasut sekolah yang dijual oleh Kilang Avenue dalam dua bulan. The table below shows the number of school shoes sold by Factory Avenue in two months. Bulan Month Bilangan kasut Number of shoes November November 1.05 juta 1.05 million Disember December 0.75 juta lebih daripada bulan November 0.75 million more than November Kilang Avenue telah menghasilkan 3 3 8 juta pasang kasut sekolah. Factory Avenue produced 3 3 8 million pair of school shoes. (a) Hitung bilangan kasut sekolah yang dijual pada bulan Disember. Calculate the number of school shoes sold in December. Bilangan kasut sekolah = 1.05 juta + 0.75 juta = 1.8 juta = 1 800 000 (b) Selepas dua bulan, bilangan kasut sekolah yang tidak terjual ialah 525 000 pasang. Buktikan. After two months, the number of unsold school shoes is 525 000. Prove it. Bilangan kasut sekolah tidak terjual = 3 3 8 juta – 1.05 juta – 1.8 juta = 3 375 000 – 1 050 000 – 1 800 000 = 525 000 17 Sebuah kilang telah mengeluarkan 4 1 4 juta blaus dalam masa enam bulan. Kesemua blaus itu telah diedarkan sama banyak kepada 250 kedai. Adakah setiap kedai menerima 15 000 helai blaus? Buktikan. A factory produced 4 1 4 million blouses in six months. All the blouses were distributed to 250 shops. Does each shop receive 15 000 blouses? Prove it. Bilangan blaus setiap kedai terima = 4 250 000 ÷ 250 = 17 000 ∴ Setiap kedai tidak menerima 15 000 helai blaus. 01_Mathzier1.0 Mate Thn6 Edisi 2022_U1 5th.indd 9 9/12/22 11:01 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 10 18 Jadual di bawah menunjukkan bilangan pen yang dikeluarkan oleh sebuah kilang. Pengeluaran pada bulan Jun tidak ditunjukkan. The table below shows the number of pens produced by a factory. The production in the month of June is not shown. Bulan Month Bilangan pen Number of pens Mei May 1.2 juta 1.2 million Jun June Julai July 2 kali bilangan pen bulan Mei 2 times the number of pens in May Jumlah bilangan pen yang dihasilkan dalam tiga bulan itu ialah 5 juta. Hitung bilangan pen yang dikeluarkan pada bulan Jun. The total number of pens produced in three months is 5 million. Calculate the number of pens produced in June. Bilangan pen bulan Julai = (2 × 1.2) juta = 2.4 juta Bilangan pen bulan Jun = 5 juta – 1.2 juta – 2.4 juta = 5 000 000 – 1 200 000 – 2 400 000 = 1 400 000 19 Jadual di bawah menunjukkan bilangan pemadam yang diterima oleh empat buah kedai daripada Syarikat X. Bilangan pemadam di kedai P dan R tidak ditunjukkan. The table below shows the number of erasers received by four shops from Company X. The number of erasers for shops P and R are not shown. Kedai Shop Bilangan pemadam Number of erasers P Q 1.25 juta/million R S 0.75 juta/million Jumlah bilangan pemadam yang dihasilkan oleh Syarikat X ialah 5.6 juta. Kedai P menerima 0.02 juta lebih daripada kedai R. Hitung bilangan pemadam yang diterima oleh kedai P. The total number of erasers produced by Company X is 5.6 million. Shop P received 0.02 million erasers more than shop R. Calculate the number of erasers received by shop P. Bilangan pemadam kedai P dan R = 5.6 juta – 1.25 juta – 0.75 juta = 3.6 juta Bilangan pemadam kedai R = (3.6 juta – 0.02 juta) ÷ 2 = 3.58 juta ÷ 2 = 1.79 juta Bilangan pemadam kedai P = 1.79 juta + 0.02 juta = 1.81 juta 20 Rajah di bawah menunjukkan bilangan pen tablet yang dihasilkan oleh sebuah syarikat elektronik. The diagram below shows the number of tablet pens produced by an electronic company. (a) Setiap pen tablet itu dijual dengan keuntungan sebanyak RM75. Hitung keuntungan yang diperoleh syarikat itu. Each tablet pen is sold with a profit of RM75. Calculate the profit gained by the company. Untung = 20 000 × RM75 = RM1 500 000 (b) Keuntungan itu dikongsi dengan 10 anak syarikat. Setiap anak syarikat mendapat keuntungan sebanyak RM0.1 juta. Hitung baki keuntungan. The profit is shared with 10 of its subsidiaries. Each subsidiary receives RM0.1 million. Calculate the balance of the profit. RM100 000 × 10 = RM1 000 000 Baki = RM1 500 000 – RM1 000 000 = RM500 000 0.02 juta/million 01_Mathzier1.0 Mate Thn6 Edisi 2022_U1 5th.indd 10 9/12/22 11:01 AM GLOBAL MEDIASTREET SDN. BHD.

11 © Global Mediastreet Sdn. Bhd. (762284-U) 6 Ada berapa 1 6 dalam 2 1 2 ? How many 1 6 are there in 2 1 2 ? A 10 B 15 C 20 D 25 7 3 7 8 ÷ 5 8 = A 4 1 6 C 6 1 5 B 5 3 4 D 7 3 4 8 ÷ 3 8 = 20 Hitung nilai dalam . Calculate the value in . A 7 1 2 C 5 1 6 B 6 2 3 D 4 1 4 9 Diberi 1 2 5 ÷ P = 3 5 , hitung nilai P. Given 1 2 5 ÷ P = 3 5 , calculate the value of P. A 1 1 3 B 2 1 3 C 3 1 3 D 4 1 3 Kertas 1 Jawab semua soalan. Bagi setiap soalan, pilih satu jawapan sahaja daripada pilihan jawapan A, B, C dan D. Answer all questions. For each question, choose one answer only from the answer options A, B, C and D. 2.1 Pecahan Fractions 1 1 2 ÷ 4 = A 1 2 C 1 4 B 1 3 D 1 8 2 1 3 5 ÷ 8 = A 1 8 C 1 4 B 1 5 D 2 5 3 Ada berapa 2 9 dalam 4 9 ? How many 2 9 are there in 4 9 ? A 2 B 4 C 7 D 9 4 Bahagikan 4 5 8 dengan 3 4 . Divide 4 5 8 by 3 4 . A 4 1 6 C 6 1 6 B 5 3 4 D 7 3 4 5 2 1 8 ÷ 3 4 = A 1 1 8 C 2 3 4 B 2 5 8 D 2 5 6 PECAHAN, PERPULUHAN DAN PERATUS FRACTIONS, DECIMALS AND PERCENTAGES UNIT 2 02_Mathzier1.0 Mate Thn6 Edisi 2022_U2 6th.indd 11 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 12 10 Antara berikut, yang manakah bersamaan dengan 6 1 8 ? Which of the following is equal to 6 1 8 ? A 3 1 2 ÷ 4 7 B 2 5 7 ÷ 3 7 C 2 1 4 ÷ 1 3 D 1 2 7 ÷ 1 5 2.2 Perpuluhan Decimals 11 50.4 × 1.3 = A 63.25 C 67.15 B 65.52 D 69.95 12 Darab 21.12 dengan 0.3. Multiply 21.12 by 0.3. A 6.336 B 7.234 C 8.705 D 9.951 13 0.85 × 0.1 = A 0.083 C 0.085 B 0.084 D 0.086 14 25.35 ÷ 0.5 = A 35.7 C 45.7 B 40.7 D 50.7 15 38.755 ÷ 2.3 = A 186.5 C 18.65 B 168.5 D 16.85 16 64.64 ÷ 0.8 = A 80.2 C 80.6 B 80.4 D 80.8 17 30 × = 36.93 Apakah nombor yang perlu ditulis pada petak kosong itu? What number must be written in the empty box? A 1.231 B 1.232 C 1.233 D 1.234 18 4.842 ÷ = 12.105 Apakah nombor yang perlu ditulis pada petak kosong itu? What number must be written in the empty box? A 0.2 C 0.6 B 0.4 D 0.8 19 Aiman membeli 3.5 l jus limau. Semua jus limau itu dituang sama banyak ke dalam botol berukuran 0.5 l. Berapakah bilangan botol yang diperlukan? Aiman bought 3.5 of lime juice. All the lime juice is poured equally into bottles measuring 0.5 . How many bottles are needed? A 7 C 3 B 5 D 1 2.3 Peratus Percentages 20 Tukarkan 2.5 kepada peratus. Convert 2.5 to percentage. A 25% C 250% B 52% D 520% 21 Nyatakan 150% dalam perpuluhan. State 150% in decimal. A 2.5 C 0.25 B 1.5 D 0.15 22 Perpuluhan Decimal Peratus Percentage 0.5 Y 0.9 90% X 120% 2.5 250% Nyatakan nilai X dan nilai Y. State the values of X and Y. A X = 1.2, Y = 5% B X = 1.2, Y = 50% C X = 12, Y = 5% D X = 12, Y = 50% 23 50% + 24% = A 60% C 70% B 64% D 74% 24 150% – 45% = A 100% C 107% B 105% D 110% 02_Mathzier1.0 Mate Thn6 Edisi 2022_U2 6th.indd 12 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

13 © Global Mediastreet Sdn. Bhd. (762284-U) 25 70% + 24% + 15% = A 101% C 106% B 103% D 109% 26 170% – 50% – 12% = A 88% C 108% B 98% D 118% 27 120% daripada 20 kg ialah 120% of 20 kg is A 20 kg C 24 kg B 22 kg D 26 kg 28 Bilangan murid Kelas 6 Melur ialah 40 orang. 10% daripada bilangan murid Kelas 6 Melur tidak hadir pada hari Khamis. Hitung bilangan murid yang tidak hadir pada hari Khamis. The number of pupils in Class 6 Melur is 40. 10% of the number of pupils in Class 6 Melur were absent on Thursday. Calculate the number of pupils who were absent on Thursday. A 2 C 6 B 4 D 8 29 Alice membeli 100 biji durian. 5% daripada bilangan durian itu telah rosak. Hitung bilangan durian yang masih elok. Alice bought 100 durians. 5% of the number of durians are rotten. Calculate the number of durians which are not rotten. A 50 C 95 B 75 D 100 30 Rajah di bawah menunjukkan beberapa segi empat sama yang sama saiz. The diagram below shows several squares of equal size. Hitung peratusan kawasan yang tidak berlorek daripada seluruh rajah. Calculate the percentage of unshaded region of the whole diagram. A 10% B 40% C 50% D 60% 31 Sebuah kedai alat tulis mempunyai 200 batang pen merah dan 160 batang pen biru. Hitung peratusan pen merah berbanding pen biru. A stationery shop has 200 red pens and 160 blue pens. Calculate the percentage of red pens compared to blue pens. A 125% C 80% B 120% D 25% 2.4 Operasi Bergabung Mixed Operations 32 20 + 1 5 – 5.75 = A 14.05 C 14.45 B 14.40 D 14.80 33 5.5 – 1.2 + 3 4 = A 5 C 5.5 B 5.05 D 6 34 1.8 ÷ 2 5 × 4 = A 12 B 14 C 16 D 18 35 10 × 12.5 kg + 3 7 10 kg = A 125.5 kg C 130.5 kg B 128.7 kg D 135.7 kg 36 (35.5 – 12) × (8.9 – 1 2 5 ) = A 167.25 C 176.25 B 170.25 D 180.25 37 (75 – 55.5) ÷ 1 2 = A 33 C 37 B 35 D 39 38 (38.8 + 20) ÷ ( 1 2 + 0.5) = A 58.8 C 60.8 B 59.3 D 61.3 39 20 × (5 7 10 + 6.75) = A 205 B 249 C 260 D 285 02_Mathzier1.0 Mate Thn6 Edisi 2022_U2 6th.indd 13 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 14 2.5 Penyelesaian Masalah Problems Solving 40 Rajah di bawah menunjukkan isi padu air di dalam dua botol. The diagram below shows the volume of water in two bottles. Hitung jumlah isi padu air di dalam dua botol itu. Calculate the total volume of water in the two bottles. A 1.5 C 2.5 B 2.25 D 2.75 41 Terdapat 50 soalan dalam kertas ujian Matematik. Alia mendapat markah 80%. Berapakah bilangan soalan yang dijawab betul oleh Alia? There are 50 questions in a Mathematics test paper. Alia scored 80%. How many questions did Alia answer correctly? A 34 C 38 B 36 D 40 42 Jadual di bawah menunjukkan bilangan ahli dalam Kelab STEM di sebuah sekolah mengikut jantina. The table below shows the number of members of STEM Club in a school according to gender. Jantina Gender Bilangan ahli Number of members Lelaki Boy 70 Perempuan Girl 126 Berapakah peratusan ahli perempuan berbanding ahli lelaki? What is the percentage of girl members compared to boy members? A 55% B 80% C 160% D 180% 1 1 2 0.75 43 Rajah di bawah menunjukkan agihan wang Encik Nathan berjumlah RM2 500 kepada dua orang anaknya. The diagram below shows the distribution of Encik Nathan’s money of RM2 500 to his two sons. Ajit 30% Vijay 0.4 Hitung jumlah wang yang diterima oleh kedua-dua anak Encik Nathan. Calculate the total money received by both of Encik Nathan’s sons. A RM1 500 B RM1 750 C RM2 000 D RM2 500 44 Jadual di bawah menunjukkan tempoh masa beberapa rancangan televisyen pada hari Isnin. The table below shows the duration of several television programs on Monday. Rancangan Program Tempoh masa Duration Berita News 1 2 jam 1 2 hour Dokumentari Documentary 1 jam 1 hour Wawancara Interview 1.5 jam 1.5 hours Hitung jumlah tempoh masa semua rancangan televisyen itu. Calculate the total duration of all the television programs. A 2 jam 2 hours B 3 jam 3 hours C 4 jam 4 hours D 5 jam 5 hours 02_Mathzier1.0 Mate Thn6 Edisi 2022_U2 6th.indd 14 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

15 © Global Mediastreet Sdn. Bhd. (762284-U) Kertas 2 Jawab semua soalan. Tulis jawapan anda dengan jelas pada ruang yang disediakan. Tunjukkan langkah-langkah pengiraan. Answer all questions. Write your answer clearly in the spaces provided. Show your working. 2.1 Pecahan Fractions 1 (a) Ada berapa 2 3 dalam 1 9 ? How many 2 3 are they in 1 9 ? 1 9 ÷ 2 3 = 1 9 × 3 2 = 1 6 (b) 2 2 5 ÷ 2 3 = 2 2 5 ÷ 2 3 = 12 5 × 3 2 = 3 3 5 2 Sofia membeli 2 1 2 kg tepung untuk membuat kek. 1 2 kg tepung digunakan untuk membuat sebiji kek. Berapakah bilangan kek yang dapat dihasilkan oleh Sofia menggunakan kesemua tepung itu? Sofia bought 2 1 2 kg of flour to bake cakes. 1 2 kg of flour is used to bake a cake. How many cakes can be baked by Sofia using all the flour? Bilangan kek = 2 1 2 ÷ 1 2 = 5 2 × 2 1 = 5 3 × 8 9 = 3 5 9 Apakah nilai dalam ? What is the value in ? × 8 9 = 3 5 9 = 3 5 9 ÷ 8 9 = 32 9 × 9 8 = 4 2.2 Perpuluhan Decimals 4 Rajah di bawah menunjukkan satu garis nombor. The diagram below shows a number line. (a) Nyatakan nilai X dan nilai Y. State the values of X and Y. X = 2.45, Y = 2.48 (b) Darabkan X dengan 5.5. Multiply X by 5.5. X × 5.5 = 2.45 × 5.5 = 13.475 (c) Bundarkan jawapan di (b) kepada dua tempat perpuluhan. Round off the answer in (b) to two decimal places. 13.475 = 13.48 2.43 X 2.46 Y 2 . 4 5 × 5 . 5 1 2 2 5 + 1 2 2 5 0 1 3 . 4 7 5 02_Mathzier1.0 Mate Thn6 Edisi 2022_U2 6th.indd 15 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 16 5 Jisim Meena ialah 51.6 kg. Manakala, jisim Liew adalah 1.5 kali jisim Meena. Hitung jisim Liew. Meena’s mass is 51.6 kg. Meanwhile, Liew’s mass is 1.5 times of Meena’s mass. Calculate Liew’s mass. Jisim Liew = 1.5 × 51.6 = 77.4 kg 5 1 . 6 × 1 . 5 2 5 8 0 + 5 1 6 0 7 7 . 4 0 6 20.678 ÷ 0.4 = 20.678 ÷ 0.4 = 206.78 ÷ 4 = 51.695 5 1 . 6 9 5 4 2 0 6 . 7 8 0 – 2 0 0 6 – 4 2 7 – 2 4 3 8 – 3 6 2 0 – 2 0 0 7 Jisim lima peket beras yang sama ialah 15.65 kg. Hitung jisim, dalam kg, sepeket beras itu. The mass of five similar packets of rice is 15.65 kg. Calculate the mass, in kg, of a packet of rice. Jisim sepeket beras = 15.65 ÷ 5 = 3.13 kg 3 . 1 3 5 1 5 . 6 5 – 1 5 0 6 – 5 1 5 – 1 5 0 8 Hitung nilai dalam . Calculate the value in . (a) × 0.1 = 17.05 × 0.1 = 17.05 = 17.05 ÷ 0.1 = 170.5 ÷ 1 = 170.5 (b) 60.75 ÷ = 1.5 60.75 ÷ = 1.5 = 60.75 ÷ 1.5 = 607.5 ÷ 15 = 40.5 2.3 Peratus Percentages 9 (a) Nyatakan 710% dalam perpuluhan. State 710% in decimal. 710% = 710 100 = 710 ÷ 100 = 7.1 (b) Tukar 0.98 kepada peratus. Convert 0.98 to percentage. 0.98 = 0.98 × 100% = 98% 10 Hitung. Calculate. (a) 92% + 58% + 45% = 92% + 58% + 45% = 195% (b) 550% – 205% – 68% = 550% – 205% – 68% = 277% 02_Mathzier1.0 Mate Thn6 Edisi 2022_U2 6th.indd 16 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

17 © Global Mediastreet Sdn. Bhd. (762284-U) 11 Rajah di bawah menunjukkan isi padu jus oren di dalam sebuah jag. The diagram below shows the volume of orange juice in a jug. Raju telah minum 20% daripada jus oren itu. Hitung isi padu, dalam , jus oren yang diminum oleh Raju. Raju drank 20% of the orange juice. Calculate the volume, in , of orange juice drank by Raju. Isi padu = 20% × 2.5 = 20 100 × 2.5 = 0.2 × 2.5 = 0.5 12 Rajah di bawah menunjukkan beberapa petak segi empat sama yang sama saiz. The diagram below shows several squares of equal size. Cikgu Sarah meminta Wildan melorek 60% daripada rajah itu. Hitung bilangan petak lagi yang perlu dilorek oleh Wildan. Cikgu Sarah asked Wildan to shade 60% of the diagram. Calculate how many squares Wildan needs to shade more. 60% × 100 = 60 petak Bilangan petak perlu dilorek lagi = 60 – 44 = 16 2.5 13 Berapakah peratusan 240 biji bola tampar berbanding 150 biji bola tampar? What is the percentage of 240 volley balls compared to 150 volley balls? 240 150 × 100% = 160% 2.4 Operasi Bergabung Mixed Operations 14 (a) 9 2 5 – 3.25 + 10 = 9 2 5 – 3.25 + 10 = 9.4 – 3.25 + 10 = 16.15 (b) 7 kg + (12 7 10 kg – 5.75 kg) = 7 kg + (12 7 10 kg – 5.75 kg) = 7 + (12.7 – 5.75) = 7 + 6.95 = 13.95 kg 15 (a) 400 ÷ 0.5 × 3 10 = 400 ÷ 0.5 × 3 10 = 400 ÷ 0.5 × 0.3 = 800 × 0.3 = 240 (b) (55.2 – 10.76) × (65.45 + 34.55) = (55.2 – 10.76) × (65.45 + 34.55) = 44.44 × 100 = 4 444 02_Mathzier1.0 Mate Thn6 Edisi 2022_U2 6th.indd 17 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 18 16 (4 3 10 + 9.05) ÷ (10 – 2 1 2 ) = (4 3 10 + 9.05) ÷ (10 – 2 1 2 ) = (4.3 + 9.05) ÷ (10 – 2.5) = 13.35 ÷ 7.5 = 1.78 2.5 Penyelesaian Masalah Problems Solving 17 (a) Rajah di bawah menunjukkan baki panjang segulung kain batik. The diagram below shows the remaining length of a roll of batik cloth. 30% daripada panjang kain asal telah dijual. Hitung panjang asal, dalam m, segulung kain batik itu. 30% of the original length of the batik cloth has been sold. Calculate the original length, in m, of the batik cloth. 70% × Panjang asal = 70 m Panjang asal = 70 m ÷ 70 100 = 70 m × 100 70 = 100 m (b) Kamisah membeli 4.5 m kain berwarna biru, 3 2 5 m kain berwarna hijau dan 5 1 4 m kain berwarna merah. Hitung jumlah panjang, dalam m, kain yang dibeli oleh Kamisah. Kamisah bought 4.5 m of blue cloth, 3 2 5 m of green cloth and 5 1 4 m of red cloth. Calculate the total length, in m, of all the clothes bought by Kamisah. Jumlah kain = 4.5 m + 3 2 5 m + 5 1 4 m = 4.5 + 3.4 + 5.25 = 13.15 m 70 m 18 Jadual di bawah menunjukkan jisim epal di dalam empat buah kotak. Jisim epal di dalam kotak X tidak ditunjukkan. The table below shows the mass of apples in four boxes. The mass of apples in box X is not shown. Kotak Box Jisim Mass W 3.5 kg X Y 2.3 kg Z 3.8 kg (a) Jisim epal di dalam kotak X ialah dua kali jisim kotak Y. Hitung jisim, dalam kg, epal di dalam kotak X. The mass of apples in box X is two times the mass of box Y. Calculate the mass, in kg, of apples in box X. Jisim epal = 2 × 2.3 kg = 4.6 kg (b) Hitung jumlah jisim, dalam kg, epal di dalam empat kotak itu. Calculate the total mass, in kg, of apples in four boxes. Jumlah jisim = 3.5 + 4.6 + 2.3 + 3.8 = 14.2 kg (c) Kesemua epal itu diagihkan sama banyak kepada 5 orang rakan. Hitung jisim, dalam kg, epal yang diterima oleh 2 orang rakan. All the apples are distributed equally to 5 friends. Calculate the mass, in kg, of apples received by 2 friends. Jisim = 14.2 ÷ 5 × 2 = 2.84 × 2 = 5.68 kg 02_Mathzier1.0 Mate Thn6 Edisi 2022_U2 6th.indd 18 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

19 © Global Mediastreet Sdn. Bhd. (762284-U) 19 Jadual di bawah menunjukkan jisim dua biji tembikai. The table below shows the mass of two watermelons. Tembikai Watermelon Jisim Mass P 3 1 4 kg Q 1 4 kg lebih daripada tembikai P 1 4 kg more than watermelon P Dua tembikai itu dipotong dan diagihkan kepada beberapa orang murid. Setiap murid mendapat tembikai yang berjisim 0.75 kg. Hitung bilangan murid yang menerima tembikai itu. Both watermelons were cut and given to several pupils. Each pupil gets the watermelon of the mass 0.75 kg. Calculate the number of pupils who received the watermelon. Jisim tembikai Q = 3 1 4 kg + 1 4 kg = 3.25 + 0.25 = 3.5 kg Bilangan murid = (3.25 + 3.5) kg ÷ 0.75 kg = 6.75 kg ÷ 0.75 kg = 9 20 Lisa memotong seutas tali berukuran 5 3 5 m kepada beberapa bahagian. Panjang setiap bahagian tali itu berukuran 2 5 m. Hitung bilangan bahagian tali itu. Lisa cuts a rope with a length of 5 3 5 m into several parts. The length of each part of the rope is 2 5 m. Calculate the number of parts of the rope. Bilangan bahagian tali = 5 3 5 m ÷ 2 5 m = 5.6 ÷ 0.4 = 14 21 Gaji bulanan Roslan ialah RM4 500. Gaji bulanan isterinya adalah 9 10 daripada gaji bulanan Roslan. Roslan’s monthly salary is RM4 500. His wife’s monthly salary is 9 10 of Roslan’s monthly salary. (a) Hitung jumlah gaji bulanan mereka. Calculate their total monthly salary. Jumlah gaji bulanan = RM4 500 + 9 10 × RM4 500 = RM4 500 + RM4 050 = RM8 550 (b) 1 10 daripada jumlah gaji bulanan mereka digunakan untuk membayar ansuran kereta dan 1 5 daripada baki digunakan untuk membayar sewa rumah. Hitung jumlah gaji mereka yang tinggal. 1 10 of their total monthly salary is used to pay car instalment and 1 5 from the balance is used to pay house rental. Calculate their remaining salary. Baki = RM8 550 – ( 1 10 × RM8 550) = RM8 550 – RM855 = RM7 695 Jumlah gaji yang tinggal = RM7 695 – ( 1 5 × RM7 695) = RM7 695 – RM1 539 = RM6 156 02_Mathzier1.0 Mate Thn6 Edisi 2022_U2 6th.indd 19 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 20 4 Rajah di bawah menunjukkan harga sebuah telefon pintar yang dibeli oleh Alia. The diagram below shows the price of a smartphone bought by Alia. Alia menjual telefon pintar itu selepas setahun dengan harga RM3 500. Hitung kerugian yang dialami oleh Alia. Alia sold the smartphone after a year for the price of RM3 500. Calculate the loss suffered by Alia. A RM1 100 B RM1 200 C RM1 300 D RM1 400 5 Rajah di bawah menunjukkan harga jual motosikal Jimmy. The diagram below shows the selling price of Jimmy’s motorcycle. Jimmy mendapat keuntungan sebanyak RM20 100 daripada jualan motosikal itu. Hitung harga kos motosikal itu. Jimmy makes a profit of RM20 100 from the sale of the motorcycle. Calculate the cost price of the motorcycle. A RM85 000 B RM90 000 C RM95 000 D RM100 000 RM4 600 RM110 100 Kertas 1 Jawab semua soalan. Bagi setiap soalan, pilih satu jawapan sahaja daripada pilihan jawapan A, B, C dan D. Answer all questions. For each question, choose one answer only from the answer options A, B, C and D. 3.1 Pengurusan Kewangan Financial Management 1 Harga kos sebiji topi keledar ialah RM150. Untung bagi jualan topi keledar itu ialah RM25. Hitung harga jual topi keledar itu. The cost price of a helmet is RM150. The profit from the sale of the helmet is RM25. Calculate the selling price of the helmet. A RM125 B RM135 C RM165 D RM175 2 Kedai Komputer Leong menjual sebuah komputer riba dengan harga RM2 800. Untung sebanyak RM800 diperoleh bagi setiap komputer riba yang terjual. Hitung harga kos bagi 20 buah komputer riba di kedai itu. Kedai Komputer Leong sells a laptop with the price of RM2 800. A profit of RM800 is gained for each laptop sold. Calculate the cost price for 20 laptops in the shop. A RM16 000 B RM28 000 C RM40 000 D RM56 000 3 Berapakah harga kos jam tangan itu? What is the cost price of the wristwatch? A RM370 C RM610 B RM510 D RM790 Harga jual Selling price RM490 Rugi Loss RM120 WANG MONEY UNIT 3 03_Mathzier1.0 Mate Thn6 Edisi 2022_U3 6th.indd 20 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

21 © Global Mediastreet Sdn. Bhd. (762284-U) 6 Rajah di bawah menunjukkan harga kos sebuah beg tangan. The diagram below shows the cost price of a handbag. Seorang pekedai menjual beg tangan itu dengan keuntungan 15% daripada harga kos. Hitung harga jual beg tangan itu. A shopkeeper sells the handbag at a profit of 15% from the cost price. Calculate the selling price of the handbag. A RM500 B RM550 C RM600 D RM690 7 Rajah di bawah menunjukkan harga jual dan diskaun sebuah ketuhar gelombang mikro. The diagram below shows the selling price and discount of a microwave oven. Hitung harga ketuhar gelombang mikro itu selepas diskaun. Calculate the price of the microwave oven after discount. A RM1 500 B RM2 550 C RM3 000 D RM3 150 8 Harga sebuah basikal selepas diskaun 20% ialah RM8 500. Hitung harga asal basikal itu. The price of a bicycle after discount of 20% is RM8 500. Calculate the original price of the bicycle. A RM10 625 B RM10 500 C RM10 000 D RM8 500 RM600 RM3 000 Diskaun 15% Discount 15% 9 Rajah di bawah menunjukkan harga sebuah mesin jahit yang ingin dibeli oleh Aisyah. The diagram below shows the price of a sewing machine that Aisyah wants to buy. Harga jual mesin itu ialah RM2 280 selepas diskaun. Hitung diskaun yang diberikan. The selling price of the sewing machine is RM2 280 after discount. Calculate the discount given. A 15% B 20% C 25% D 30% 10 Rajah di bawah menunjukkan harga sebuah televisyen. The diagram below shows the price of a television. Rebat sebanyak 2% diberikan jika pembelian secara tunai dilakukan. Fareesh membeli televisyen itu secara tunai. Berapakah wang yang perlu dibayar oleh Fareesh? A rebate of 2% is given if the television is bought by cash. Fareesh bought the television by cash. How much money does Fareesh need to pay? A RM8 500 B RM8 498 C RM8 300 D RM8 330 RM2 850 RM8 500 03_Mathzier1.0 Mate Thn6 Edisi 2022_U3 6th.indd 21 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 22 11 Rajah di bawah menunjukkan sekeping resit bagi barang yang dibeli oleh Anjana. The diagram below shows a piece of receipt of the items bought by Anjana. Pasar Raya Jane Jane Supermarket No. Barang Item Kuantiti Quantity Jumlah Total 1 Baju T-shirts 5 RM25.00 2 Kasut Shoes 5 RM100.00 3 Beg sekolah School bag 10 RM200.00 Rebat Rebate Jumlah Total Rebat sebanyak RM5 diberikan dengan setiap pembelian RM50. Berapakah jumlah rebat yang diterima oleh Anjana? A rebate of RM5 is given to every purchase of RM50. How much is the total rebate received by Anjana? A RM30 B RM50 C RM60 D RM80 12 Puan Lim mempunyai 5 keping baucar bernilai RM10 sekeping. Dia menggunakan kesemua baucar itu untuk membayar perbelanjaannya sebanyak RM255.90. Hitung wang yang perlu dibayar oleh Puan Lim selepas menggunakan baucar itu. Puan Lim has 5 vouchers worth RM10 each. She uses all the vouchers to pay her expenses amounting RM255.90. Calculate the amount of money that Puan Lim needs to pay after using the vouchers. A RM160.90 B RM180.90 C RM200.90 D RM205.90 13 Rajah di bawah menunjukkan sekeping resit bagi perbelanjaan Sarah di Restoran Orkid. The diagram below shows a receipt for Sarah’s expenditure in Restaurant Orkid. Restoran Orkid Orkid Restaurant No. Barang Item Kuantiti Quantity Jumlah Total 1 Nasi ayam Chicken rice 10 RM60.00 2 Mi goreng Fried noodle 17 RM85.00 3 Sirap Bandung 17 RM85.00 Cukai Perkhidmatan 6% Service Tax 6% Jumlah Total Berapakah jumlah cukai perkhidmatan yang perlu dibayar oleh Sarah? How much service tax does Sarah need to pay? A RM13.00 B RM13.80 C RM20.80 D RM25.00 14 Rajah di bawah menunjukkan harga sekeping tiket filem di sebuah pawagam. The diagram below shows the price of a movie ticket at a cinema. Cukai perkhidmatan yang dikenakan ialah 6%. Hitung jumlah bayaran bagi 5 tiket yang sama. The service tax was charged at 6%. Calculate the total payment for 5 similar tickets. A RM102 B RM104 C RM106 D RM108 RM20 TIKET TICKET 03_Mathzier1.0 Mate Thn6 Edisi 2022_U3 6th.indd 22 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

29 © Global Mediastreet Sdn. Bhd. (762284-U) 13 Rajah di bawah menunjukkan perbualan antara dua rakan. The diagram below shows the conversation among two friends. (a) Hitung harta bersih mereka. Calculate their net assets. Harta bersih Aaron = RM350 000 – RM235 000 = RM115 000 Harta bersih Aziz = RM250 300 – RM35 000 = RM215 300 (b) Siapakah yang lebih bijak mengurus kewangan? Who manages their finances better? Aziz lebih bijak mengurus kewangan. Aset saya bernilai RM350 000 dan liabiliti saya ialah RM235 000. My assets are worth RM350 000 and my liabilities are RM235 000. Aset saya bernilai RM250 300 dan liabiliti saya ialah RM35 000. My assets are worth RM250 300 and my liabilities are RM35 000. Aziz Aaron 14 Rajah di bawah menunjukkan harga sebuah gitar R. The diagram below shows the price of a guitar R. Harga sebuah gitar S adalah RM1 200 lebih murah daripada gitar R. The price of a guitar S is RM1 200 cheaper than guitar R. (a) Sebuah sekolah membeli 10 buah gitar S dan mendapat diskaun sebanyak 20%. Hitung jumlah wang yang perlu dibayar oleh sekolah itu. A school bought 10 guitars S and was given a 20% discount. Calculate the total amount of money need to be paid by the school. Harga gitar S = RM6 000 – RM1 200 = RM4 800 Harga 10 gitar S = 10 × RM4 800 = RM48 000 Jumlah wang yang perlu dibayar = 80% × RM48 000 = RM38 400 (b) Suresh membeli gitar R dan menjelaskan bayaran secara ansuran selama 12 bulan. Hitung bayaran ansuran tiga bulan. Suresh buys the guitar R by credit with 12 months instalments. Calculate the instalment for three months. Bayaran ansuran bulanan = RM6 000 ÷ 12 = RM500 Bayaran ansuran 3 bulan = 3 × RM500 = RM1 500 RM6 000 Gitar R Guitar R 03_Mathzier1.0 Mate Thn6 Edisi 2022_U3 6th.indd 29 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 30 15 Rahim berbelanja sebanyak RM320 di sebuah kedai makanan segera. Hitung wang yang perlu dibayar oleh Rahim termasuk cukai perkhidmatan sebanyak 6%. Rahim spent RM320 at a fast-food restaurant. Calculate the amount of money that need to be paid by Rahim inclusive of 6% service tax. Jumlah wang = (6% × RM320) + RM320 = RM19.20 + RM320 = RM339.20 16 Rajah di bawah menunjukkan harga kos dan harga jual dua jenis pembersih hampagas, P dan Q, di sebuah kedai. The diagram below shows the cost price and the selling price of two vacuum cleaners, P and Q, in a shop. Pembersih hampagas yang manakah lebih menguntungkan pekedai? Buktikan. Which vacuum cleaner is profitable for seller? Prove it. Untung pembersih hampagas P = RM2 900 – RM2 500 = RM400 Untung pembersih hampagas Q = RM2 900 – RM2 700 = RM200 Pembersih hampagas P lebih menguntungkan. Q Harga jual Selling price RM2 900 Harga jual Selling price RM2 900 Harga kos Cost price RM2 500 Harga kos Cost price RM2 700 P 17 Rajah di bawah menunjukkan harga sebuah rumah. Anis membeli rumah itu pada tahun 2000. The diagram below shows the price a house. Anis bought the house in the year 2000. Pada tahun 2021, Anis menjual rumah itu dan mengalami kerugian sebanyak RM0.2 juta. Hitung harga jual rumah itu. Nyatakan jawapan dalam perpuluhan juta. In 2021, Anis sold the house and she incurred RM0.2 million loss. Calculate the selling price of the house. State the price of the house in decimal of a million. Harga jual = RM1.499 juta – RM0.2 juta = RM1.299 juta 18 Aisyah membeli sebuah seterika dengan harga RM760. Dia menjual seterika itu dengan harga RM532. Aisyah bought an iron with the price of RM760. She sold the iron with the price of RM532. (a) Hitung kerugian yang dialami oleh Aisyah. Calculate the loss incurred by Aisyah. Kerugian = RM760 – RM532 = RM228 (b) Hitung peratus kerugian. Calculate the percentage of loss. Peratus kerugian = RM288 RM760 × 100% = 30% RM1.499 juta RM1.499 million 03_Mathzier1.0 Mate Thn6 Edisi 2022_U3 6th.indd 30 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

31 © Global Mediastreet Sdn. Bhd. (762284-U) 19 Jadual di bawah menunjukkan simpanan Julian dan kadar faedah yang diterimanya bagi tahun 2020 dan 2021. The table below shows Julian’s savings and the interest rate received in 2020 and 2021. Tahun Year Simpanan Savings Kadar faedah Interest rate Jumlah simpanan Total savings 2020 RM20 000 1.5% 2021 1.5% (a) Hitung faedah simpanan yang diterima selepas setahun pada tahun 2020. Calculate the interest received after a year in 2020. Faedah simpanan = 1.5% × RM20 000 = RM300 (b) Hitung wang simpanan Julian pada awal tahun 2021. Calculate Julian’s savings at the beginning of 2021. Wang simpanan awal tahun = RM20 000 + RM300 = RM20 300 (c) Pada tahun 2021, Julian telah menambah RM5 000 ke dalam akaun simpanannya. Hitung jumlah simpanan Julian pada akhir tahun 2021. Julian added RM5 000 into her savings account in 2021. Calculate her total savings at the end of 2021. Jumlah wang simpanan awal tahun 2021 = RM20 300 + RM5 000 = RM25 300 Faedah diterima = 1.5% × RM25 300 = RM379.50 Jumlah simpanan pada akhir tahun 2021 = RM25 300 + RM379.50 = RM25 679.50 20 Jadual di bawah menunjukkan aset dan liabiliti yang dimiliki oleh Qaisara dan Alicia. The table below shows the assets and liabilities owned by Qaisara and Alicia. Qaisara Alicia Simpanan Savings RM100 000 RM80 000 Pinjaman kereta Car loan RM45 000 RM20 000 Pinjaman Rumah House loan RM16 000 RM15 000 (a) Hitung jumlah liabiliti Alicia. Calculate Alicia’s total liability. Jumlah liabiliti Alicia = RM20 000 + RM15 000 = RM35 000 (b) Berapakah beza antara nilai liabiliti Qaisara dengan Alicia? What is the difference in liabilities between Qaisara and Alicia? Nilai liabiliti Qaisara = RM45 000 + RM16 000 = RM61 000 Beza = RM61 000 – RM35 000 = RM26 000 (c) Siapakah lebih bijak mengurus kewangan? Buktikan. Who manages their finances better? Prove it. Jumlah aset bersih Qaisara = RM100 000 – RM61 000 = RM39 000 Jumlah aset bersih Alicia = RM80 000 – RM35 000 = RM45 000 Alicia lebih bijak mengurus kewangan. 03_Mathzier1.0 Mate Thn6 Edisi 2022_U3 6th.indd 31 9/12/22 11:00 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 32 3 Rajah di bawah menunjukkan perbualan antara dua orang rakan. The diagram below shows the conversation between two friends. Nyatakan beza masa di antara dua negara itu. State the time difference between the two countries. A 1 jam 1 hour B 2 jam 2 hours C 3 jam 3 hours D 4 jam 4 hours 4 Waktu di Malaysia ialah jam 1345. Nyatakan waktu di Helsinki, Finland jika waktu di Malaysia awal 5 jam dari waktu di Helsinki. The time in Malaysia is 1345 hours. State the time in Helsinki, Finland if the time in Malaysia is 5 hours ahead of Helsinki. A 8.45 a.m. C 8.45 p.m. B 6.45 a.m. D 6.45 p.m. Kertas 1 Jawab semua soalan. Bagi setiap soalan, pilih satu jawapan sahaja daripada pilihan jawapan A, B, C dan D. Answer all questions. For each question, choose one answer only from the answer options A, B, C and D. 4.1 Zon Masa Time Zone 1 Rajah di bawah menunjukkan waktu di Malaysia dan waktu di Jepun pada hari Selasa, 8 Februari 2022. The diagram below shows the time in Malaysia and the time in Japan on Tuesday, 8 February 2022. Cari beza masa di antara Malaysia dan Jepun. Find the time difference between Malaysia and Japan. A 1 jam C 3 jam 1 hour 3 hours B 2 jam D 4 jam 2 hours 4 hours 2 Ram belajar di Mumbai, India yang berada di barat dari Malaysia. Beza masa di antara Mumbai dengan Malaysia ialah 2 jam 30 minit. Nyatakan waktu di Malaysia jika waktu di Mumbai ialah 4.30 p.m. Ram studies in Mumbai, India which is in the west of Malaysia. The time difference between Mumbai and Malaysia is 2 hours 30 minutes. State the time in Malaysia if the time in Mumbai is 4.30 p.m. A 4.30 p.m. C 6.00 p.m. B 5.30 p.m. D 7.00 p.m. Jam 1230 1230 hours Jam 1330 1330 hours Malaysia Jepun/Japan MASA DAN WAKTU TIME UNIT 4 Waktu di Brisbane, Australia sekarang ialah pukul 10.00 p.m. The time in Brisbane, Australia now is 10.00 p.m. Waktu di Melaka, Malaysia sekarang ialah pukul 8.00 p.m. The time in Malacca, Malaysia now is 8.00 p.m. 04_Mathzier1.0 Mate Thn6 Edisi 2022_U4 5th.indd 32 9/12/22 10:59 AM GLOBAL MEDIASTREET SDN. BHD.

33 © Global Mediastreet Sdn. Bhd. (762284-U) 5 Aisyah menetap di Los Angeles, Amerika Syarikat. Aisyah mula mengulang kaji mata pelajarannya pada jam 1520, 16 November 2021. Waktu di Malaysia pada masa itu ialah jam 0620, 17 November 2021. Hitung beza masa di antara dua negara itu. Aisyah settled down in Los Angeles, The United States of America. Aisyah starts her revision at 1520 hours, 16 November 2021. The time in Malaysia at that time is 0620 hours, 17 November 2021. Calculate the time difference between the two countries. A 10 jam 10 hours B 11 jam 11 hours C 13 jam 13 hours D 15 jam 15 hours 6 Rajah di bawah menunjukkan waktu di New York, Amerika Syarikat dan waktu di Kota Kinabalu, Malaysia. The diagram below shows the time in New York, The United States of America and the time in Kota Kinabalu, Malaysia. New York Kota Kinabalu Jam 0900 0900 hours Khamis Thursday 16 September 2021 Jam 2100 2100 hours Khamis Thursday 16 September 2021 Nyatakan beza masa di antara dua tempat itu. State the time difference between the two places. A 12 jam 12 hours B 11 jam 11 hours C 10 jam 10 hours D 9 jam 9 hours 7 Rajah di bawah menunjukkan waktu di Denmark dan waktu di India. The diagram shows the time in Denmark and the time in India. Hitung beza masa di antara dua negara itu. Calculate the time difference between the two countries. A 3 jam 30 minit C 3 jam 10 minit 3 hours 30 minutes 3 hours 10 minutes B 3 jam 20 minit D 3 jam 5 minit 3 hours 20 minutes 3 hours 5 minutes 8 Rajah di bawah menunjukkan waktu di Miri, Sarawak. Waktu di Wellington, New Zealand tidak ditunjukkan. Waktu di Wellington, New Zealand awal 4 jam dari waktu di Miri, Sarawak. The diagram below shows the time in Miri, Sarawak. The time in Wellington, New Zealand is not shown. The time in Wellington, New Zealand is 4 hours ahead of the time in Miri, Sarawak. Miri, Sarawak, Malaysia 3.00 a.m. Selasa/Tuesday 14 Disember 2021 14 December 2021 Wellington, New Zealand Nyatakan waktu di Wellington, New Zealand. State the time in Wellington, New Zealand. A 6.00 a.m., Isnin, 13 Disember 2021 6.00 a.m., Monday, 13 December 2021 B 6.00 a.m., Selasa, 14 Disember 2021 6.00 a.m., Tuesday, 14 December 2021 C 7.00 a.m., Isnin, 13 Disember 2021 7.00 a.m., Monday, 13 December 2021 D 7.00 a.m., Selasa, 14 Disember 2021 7.00 a.m., Tuesday, 14 December 2021 Denmark India 5.10 p.m. 14 April 2022 8.40 p.m. 14 April 2022 04_Mathzier1.0 Mate Thn6 Edisi 2022_U4 5th.indd 33 9/12/22 10:59 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 34 9 Rajah di bawah menunjukkan waktu di Kuala Lumpur. Waktu di London tidak ditunjukkan. The diagram below shows the time in Kuala Lumpur. The time in London is not shown. London Kuala Lumpur ? Jam 0900 0900 hours Khamis/Thursday 16 September 2021 Beza masa di antara Kuala Lumpur dengan London ialah 7 jam. London berada di barat dari Kuala Lumpur. Nyatakan waktu di London. The time difference between Kuala Lumpur and London is 7 hours. London is in the west of Kuala Lumpur. State the time in London. A Jam 0200, Rabu 0200 hours, Wednesday 15 September 2021 B Jam 0200, Khamis 0200 hours, Thursday 16 September 2021 C Jam 0300, Rabu 0300 hours, Wednesday 15 September 2021 D Jam 0300, Khamis 0300 hours, Thursday 16 September 2021 10 Sydney, Australia berada di timur dari Singapura. Beza masa di antara Sydney dengan Singapura ialah 2 jam. Nyatakan waktu di Sydney jika waktu di Singapura ialah 1.35 p.m. Sydney, Australia is in the east of Singapore. The time difference between Sydney and Singapore is 2 hours. State the time in Sydney if the time in Singapore is 1.35 p.m. A 2.35 a.m. B 2.35 p.m. C 3.35 a.m. D 3.35 p.m. 11 Rajah di bawah menunjukkan waktu di Putrajaya, Malaysia. Waktu di Auckland, Australia tidak ditunjukkan. The diagram below shows the time in Putrajaya, Malaysia. The time in Auckland, Australia is not shown. Beza masa di antara Putrajaya dengan Auckland ialah 4 jam dan Auckland berada di timur dari Malaysia. Nyatakan waktu di Auckland. The time difference between Putrajaya and Auckland is 4 hours and Auckland is in the east of Malaysia. State the time in Auckland. A Jam 0800 0800 hours B Jam 0900 0900 hours C Jam 1000 1000 hours D Jam 1100 1100 hours 12 Encik Rizal dan keluarganya menaiki pesawat ke Riyadh, Arab Saudi. Kapal terbang berlepas ke Riyadh di Lapangan Terbang KLIA, Malaysia, Arab Saudi pada pukul 3.00 p.m. dari KLIA, Malaysia. Beza masa di antara Malaysia dengan Riyadh ialah 5 jam. Riyadh berada di barat dari Malaysia. Nyatakan waktu di Riyadh, Arab Saudi semasa pesawat berlepas dari KLIA, Malaysia. Encik Rizal and his family boarded a flight to Riyadh, Saudi Arabia. The flight departed to Riyadh, Saudi Arabia at 3.00 p.m. from KLIA, Malaysia. The time difference between Malaysia and Riyadh is 5 hours. Riyadh is in the west of Malaysia. State the time in Riyadh, Saudi Arabia, when the flight departed from KLIA, Malaysia. A 10.00 p.m. C 10.00 a.m. B 12.00 p.m. D 12.00 a.m. Pagi Morning Pagi Morning Putrajaya, Malaysia 9 April 2022 Auckland, Australia 9 April 2022 04_Mathzier1.0 Mate Thn6 Edisi 2022_U4 5th.indd 34 9/12/22 10:59 AM GLOBAL MEDIASTREET SDN. BHD.

35 © Global Mediastreet Sdn. Bhd. (762284-U) 4.2 Penyelesaian Masalah Problems Solving 13 Hazrina ingin melancong ke Moscow, Rusia. Hazrina menaiki pesawat di Lapangan Terbang KLIA, Malaysia pada pukul 5.00 a.m. Moscow berada di barat dari Malaysia dan beza masa di antara dua negara itu ialah 5 jam. Nyatakan waktu di Moscow semasa Hazrina menaiki pesawat di Malaysia. Hazrina wants to travel to Moscow, Russia. She boarded the flight at KLIA airport, Malaysia at 5.00 a.m. Moscow is in the west of Malaysia and the time difference between the two countries is 5 hours. State the time in Moscow when Hazrina boarded the flight in Malaysia. A 11 a.m. B 11 p.m. C 12 a.m. D 12 p.m. 14 Waktu di Jepun ialah jam 1000. Manakala waktu di Finland ialah jam 0400. Nyatakan kedudukan Finland dari Jepun. The time in Japan is 1000 hours. Meanwhile, the time in Finland is 0400 hours. State the location of Finland from Japan. A Utara North B Selatan South C Barat West D Timur East 15 Murni belajar di Universiti Utara Malaysia, Kedah. Manakala rakannya, Julia, pula belajar di Universiti King Saud di Riyadh, Arab Saudi. Waktu di Riyadh ialah lewat 5 jam dari waktu di Kedah. Murni membuat panggilan video pada pukul 10.00 p.m., waktu Malaysia. Apakah waktu tempatan di Riyadh pada ketika itu? Murni studies in Universiti Utara Malaysia, Kedah. Meanwhile her friend, Julia, studies in King Saud University, Riyadh, Saudi Arabia. The time in Riyadh is 5 hours behind the time in Kedah. Murni makes a video call at 10.00 p.m., Malaysia time. What is the local time in Riyadh at that time? A 3.00 p.m. B 4.00 p.m. C 5.00 p.m. D 6.00 p.m. 16 Rajah di bawah menunjukkan tempoh masa penerbangan ke Melbourne dari Lapangan Terbang KLIA, Malaysia. The diagram below shows the duration of flight to Melbourne from KLIA airport, Malaysia. Rayyan menaiki kapal terbang itu pada pukul 10.30 a.m. waktu Malaysia. Waktu di Malaysia mendahului waktu di Melbourne selama 2 jam. Apakah waktu tempatan apabila Rayyan tiba di Melbourne? Rayyan boards the plane at 10.30 a.m, Malaysia time. The time in Malaysia is 2 hours ahead of Melbourne. What is the local time when Rayyan reach Melbourne? A Jam 1830 1830 hours B Jam 1630 1630 hours C Jam 1430 1430 hours D Jam 1230 1230 hours 17 Perlawanan Kriket Antarabangsa disiarkan secara langsung dari stadium kriket di Perth, Australia. Perlawanan itu dijangka berlangsung pada jam 1000, waktu Perth. Perth berada dalam zon masa yang sama dengan Kuala Lumpur. Ranjit ingin menonton perlawanan tersebut secara langsung. Apakah waktu tempatan di Malaysia semasa Ranjit menonton perlawanan itu secara langsung? An International Cricket match is broadcast live from a cricket stadium in Perth, Australia. The match is expected to begin at 1000 hours, Perth time. Perth is located in the same time zone as Kuala Lumpur. Ranjit wants to watch the match live. What is the local time in Malaysia, when Ranjit watched the match live? A 10.00 a.m. B 11.00 a.m. C 12.00 p.m. D 1.00 p.m. 8 jam 8 hours 04_Mathzier1.0 Mate Thn6 Edisi 2022_U4 5th.indd 35 9/12/22 10:59 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 38 Kertas 2 Jawab semua soalan. Tulis jawapan anda dengan jelas pada ruang yang disediakan. Tunjukkan langkah-langkah pengiraan. Answer all questions. Write your answer clearly in the spaces provided. Show your working. 4.1 Zon Masa Time Zone 1 Rajah di bawah menunjukkan waktu di Jakarta, Indonesia pada waktu pagi. The diagram below shows the time in Jakarta, Indonesia in the morning. (a) Nyatakan waktu itu dalam sistem 24 jam. State the time in 24-hour system. Jam 0400/0400 hours (b) Waktu di Kuala Lumpur mendahului waktu di Jakarta selama 1 jam. Nyatakan waktu di Kuala Lumpur dalam sistem 24 jam. The time in Kuala Lumpur is 1 hour ahead of Jakarta. State the time in Kuala Lumpur in 24-hour system. Jam 0500/0500 hours 2 Waktu di Johor, Malaysia ialah 2.30 p.m. dan waktu di Delhi, India ialah 12.00 p.m. pada hari yang sama. Hitung beza masa di antara dua negeri itu. The time in Johor, Malaysia is 2.30 p.m. and the time in Delhi, India is 12.00 p.m. on the same day. Calculate the difference in time between the two states. jam minit 1 4 3 0 – 1 2 0 0 2 3 0 Beza masa = 2 jam 30 minit 3 Berikut adalah perbualan antara Mei Lin dan Sara. The following is a conversation between Mei Lin and Sara. (a) Perlawanan Taekwondo itu akan disiarkan pada jam 1730 di Korea Selatan. Nyatakan waktu itu dalam sistem 12 jam. The Taekwondo Tournament will be broadcast live at 1730 hours in South Korea. State the time in 12-hour system. Jam 1730 = 5.30 p.m. (b) Nyatakan waktu siaran langsung perlawanan itu di Malaysia. State the time of the tournament broadcast live in Malaysia. jam minit 1 7 3 0 – 1 0 0 1 6 3 0 Waktu siaran langsung perlawanan di Malaysia = Jam 1630 = 4.30 p.m. Saya ingin menonton Perlawanan Taekwondo Antarabangsa secara langsung dari Korea Selatan pada hari Selasa. Pukul berapakah perlawanan itu akan disiarkan di Malaysia? I want to watch the live International Taekwondo Tournament from South Korea this Tuesday. At what time will the tournament be broadcast in Malaysia? Mei Lin Korea Selatan berada di timur dari Malaysia. Oleh sebab itu, waktu di Korea Selatan awal 1 jam dari Malaysia. South Korea is in the east of Malaysia. Therefore, the time in South Korea is 1 hour ahead of Malaysia. Sara 04_Mathzier1.0 Mate Thn6 Edisi 2022_U4 5th.indd 38 9/12/22 10:59 AM GLOBAL MEDIASTREET SDN. BHD.

39 © Global Mediastreet Sdn. Bhd. (762284-U) 4 Rajah di bawah menunjukkan waktu di Sweden. The diagram below shows the time in Sweden. Masa di Sweden lewat 6 jam dari Malaysia. The time in Sweden is 6 hours behind Malaysia. (a) Nyatakan kedudukan Sweden dari Malaysia. State the location of Sweden from Malaysia. Barat (b) Nyatakan waktu di Malaysia ketika waktu di Sweden adalah seperti dalam rajah di atas. State the time in Malaysia when the time in Sweden is as in the diagram above. jam minit 3 4 5 + 6 0 0 9 4 5 Waktu di Malaysia = 9.45 a.m. 5 Waktu di Helsinki, Finland mendahului waktu di New York, Amerika Syarikat selama 7 jam. Nyatakan waktu, dalam sistem 12 jam, di New York jika waktu di Helsinki ialah jam 1115. The time in Helsinki, Finland is 7 hours ahead of New York, The United States of America. State the time, in 12-hour system, in New York if the time in Helsinki is 1115 hours. jam minit 1 1 1 5 – 7 0 0 4 1 5 Waktu di New York = 4.15 a.m. Sweden Sabtu/Saturday 23 April 2022 Pagi Morning 6 Waktu di New York ialah 4.15 a.m. dan waktu di Cape Town, Afrika Selatan ialah 10.15 a.m. Hitung beza masa di antara dua bandar itu. The time in New York is 4.15 a.m. and the time in Cape Town, South Africa is 10.15 a.m. Calculate the time difference between the two cities. jam minit 1 0 1 5 – 4 1 5 6 0 0 Beza masa = 6 jam 7 Rajah di bawah menunjukkan waktu di dua negara. The diagram below shows the time in two countries. Beza masa di antara Singapura dengan India ialah 2 jam 30 minit. India berada di barat dari Singapura. Nyatakan waktu di India. The time difference between Singapore and India is 2 hours 30 minutes. India is in the west of Singapore. State the time in India. jam minit 8 0 5 – 2 3 0 5 3 5 Waktu di India = 5.35 p.m. India Singapura/Singapore Khamis/Thursday 18 November 2021 ? Khamis/Thursday 18 November 2021 8.05 p.m. 04_Mathzier1.0 Mate Thn6 Edisi 2022_U4 5th.indd 39 9/12/22 10:59 AM GLOBAL MEDIASTREET SDN. BHD.

101 © Global Mediastreet Sdn. Bhd. (762284-U) 4 Apakah kebolehjadian kucing adalah mamalia? What is the likelihood of a cat is a mammal? A Besar kemungkinan More likely B Kecil kemungkinan Less likely C Pasti Certain D Mustahil Impossible 5 Tukarkan 6 7 8 juta kepada perpuluhan juta. Convert 6 7 8 million to decimal of a million. A 6.875 juta C 6.675 juta 6.875 million 6.675 million B 6.785 juta D 6.578 juta 6.785 million 6.578 million 6 Rajah 3 menunjukkan satu pola nombor. Diagram 3 shows a number pattern. Rajah 3 Diagram 3 Apakah pola nombor itu? What is the number pattern? A Tertib menurun darab dua-dua Descending order multiplied by twos B Tertib menaik darab dua-dua Ascending order multiplied by twos C Tertib menurun darab empat-empat Descending order multiplied by fours D Tertib menaik darab empat-empat Ascending order multiplied by fours 1 200 2 400 4 800 9 600 1 Antara berikut, yang manakah nombor perdana? Which of the following is a prime number? A 44 C 69 B 55 D 97 2 Rajah 1 menunjukkan sebuah segi tiga sama sisi. Diagram 1 shows an equilateral triangle. Rajah 1 Diagram 1 Nyatakan nilai sudut x. State the value of angle x. A 45° C 90° B 60° D 180° 3 Rajah 2 menunjukkan satu garis nombor. Diagram 2 shows a number line. Rajah 2 Diagram 2 Nyatakan nilai P. State the value of P. A 1.625 juta C 1.72 juta 1.625 million 1.72 million B 1.65 juta D 1.725 juta 1.65 million 1.725 million x 1 1 4 juta 1 1 4 million 1 1 2 juta 1 1 2 million 1 3 4 juta 1 3 4 million P Kertas 1 [40 markah] Kertas ini mengandungi 40 soalan. Jawab semua soalan. Tiap-tiap soalan diikuti oleh empat pilihan jawapan, iaitu A, B, C dan D. Bagi setiap soalan, pilih satu jawapan sahaja. This question paper consists of 40 questions. Answer all questions. Each question is followed by four alternative answers, A, B, C and D. For each question, choose one answer only. PENILAIAN AKHIR TAHUN FINAL YEAR ASSESSMENT 09_Mathzier1.0 Mate Thn6 Edisi 2022_PAT 5th.indd 101 9/12/22 11:10 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 102 7 Rajah 4 menunjukkan sebuah bulatan. Diagram 4 shows a circle. Rajah 4 Diagram 4 Label yang manakah merujuk kepada diameter? Which label refers to diameter? A p C r B q D s 8 (10.6 – 1 9 10) ÷ 3 = A 2.6 C 2.8 B 2.7 D 2.9 9 4 9 10 ÷ 7 = A 1 10 C 3 10 B 1 2 D 7 10 10 Rajah 5 menunjukkan sebakul epal dan sebakul epal hijau. Diagram 5 shows a basket of red apples and a basket of green apples. Rajah 5 Diagram 5 Nyatakan nisbah bilangan epal merah kepada bilangan epal hijau. State the ratio of the number of red apples to the number of green apples. A 1 : 5 C 1 : 7 B 1 : 6 D 1 : 8 11 Tukarkan 8.12 juta kepada nombor bulat. Convert 8.12 million to a whole number. A 8 000 120 C 8 012 000 B 8 001 200 D 8 120 000 r s q p 12 4 3 8 juta ÷ 50 = 4 3 8 million ÷ 50 = A 57 800 C 87 500 B 78 500 D 88 500 13 (0.35 juta + 0.14 juta) × 7 = (0.35 million + 0.14 million) × 7 = A 3 430 000 C 3 340 000 B 3 403 000 D 3 304 000 14 Ada berapa 3 5 dalam 1 2 5 ? How many 3 5 are there in 1 2 5 ? A 2 1 3 C 2 3 5 B 2 2 5 D 2 2 3 15 2 1 4 juta – = 0.96 juta 2 1 4 million – = 0.96 million A 1.29 juta C 2.19 juta 1.29 million 2.19 million B 1.92 juta D 2.91 juta 1.92 million 2.91 million 16 Jadual 1 menunjukkan jumlah bilangan pengunjung ke KLCC dalam dua hari. Table 1 shows the number of visitors to KLCC in two days. Hari Day Bilangan pengunjung Number of visitors Sabtu Saturday 1 135 600 Ahad Sunday 2 kali bilangan pengunjung pada hari Sabtu 2 times the number of visitors in Saturday Jadual 1 T able 1 Hitung bilangan pengunjung pada hari Ahad. Calculate the total number of visitors on Sunday. A 2 127 200 B 2 217 200 C 2 271 200 D 2 712 200 4 epal merah 4 red apples 20 epal hijau 20 green apples 09_Mathzier1.0 Mate Thn6 Edisi 2022_PAT 5th.indd 102 9/12/22 11:10 AM GLOBAL MEDIASTREET SDN. BHD.

103 © Global Mediastreet Sdn. Bhd. (762284-U) 20 Rajah 8 menunjukkan sebuah protraktor Diagram 8 shows a protractor. Rajah 8 Diagram 8 Apakah nilai sudut y? What is the value of angle y? A 110 C 125 B 120 D 130 21 Rajah 9 menunjukkan sebuah poligon sekata. Diagram 9 shows a regular polygon. Rajah 9 Diagram 9 Namakan poligon itu. Name the polygon. A Pentagon sekata Regular pentagon B Heksagon sekata Regular hexagon C Heptagon sekata Regular heptagon D Oktagon sekata Regular octagon 22 Terdapat 40 biji bola kuning, 10 biji bola biru, 5 biji bola putih dan 5 biji bola hitam di dalam sebuah bakul. Siti mengambil sebiji bola secara rawak daripada bakul itu. Apakah kebolehjadian Siti mengambil bola hijau? There are 40 yellow balls, 10 blue balls, 5 white balls and 5 black balls in a basket. Siti randomly picks a ball from the basket. What is the likelihood of Siti picking a green ball? A Besar kemungkinan More likely B Kecil kemungkinan Less likely C Pasti Certain D Mustahil Impossible y 17 Kira peratusan bagi 144 m daripada 0.4 . Calculate the percentage for 144 m of 0.4 . A 20% B 26% C 30% D 36% 18 Rajah 6 menunjukkan harga jual dan diskaun sebuah gitar elektrik. Diagram 6 shows the selling price and the discount for an electric guitar. Rajah 6 Diagram 6 Hitung harga jual gitar itu selepas diskaun. Calculate the selling price of the guitar after discount. A RM1 960 B RM1 906 C RM1 069 D RM1 096 19 Rajah 7 menunjukkan waktu di dua tempat. Diagram 7 shows the time in two places. Rajah 7 Diagram 7 Hitung beza masa di antara dua tempat itu. Calculate the time difference between the two places. A 4 jam 4 hours B 3 jam 3 hours C 2 jam 2 hours D 1 jam 1 hours RM2 450 Diskaun 20% Discount 20% Perlis, Malaysia Osaka, Jepun/Japan 09_Mathzier1.0 Mate Thn6 Edisi 2022_PAT 5th.indd 103 9/12/22 11:10 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) 104 23 Rajah 10 menunjukkan kedudukan empat orang rakan pada satah Cartes. Diagram 10 shows the locations of four friends on a Cartesian plane. Skala: 1 cm mewakili 1 km Scale: 1 cm represents 1 km Rajah 10 Diagram 10 Nyatakan jarak mengufuk dan jarak mencancang sebenar Arvind dari Ravi. State the actual horizontal distance and vertical distance of Arvind from Ravi. Jarak mengufuk Horizontal distance Jarak mencancang Vertical distance A 3 km 4 km B 4 km 3 km C 1 km 3 km D 3 km 1 km 24 Rajah 11 menunjukkan dua segi empat sama. Diagram 11 shows two squares. Rajah 11 Diagram 11 Luas Q ialah 36 cm2 . Nisbah luas Q kepada luas P ialah 9 : 4. Hitung luas P. The area of Q is 36 cm2 . The ratio of the area of Q to the area of P is 9 : 4. Calculate the area of P. A 10 cm2 B 16 cm2 C 20 cm2 D 25 cm2 5 4 3 2 1 1 2 3 4 5 0 x y Azman Ravi Rahim Arvind 1 cm 1 cm P Q 25 Rajah 12 ialah carta pai yang menunjukkan bilangan empat jenama kereta yang dijual pada tahun 2020. Diagram 12 is a pie chart showing the number of four brands of cars sold in 2020. Rajah 12 Diagram 12 Bilangan kereta jenama Q yang dijual ialah 40 buah. Hitung bilangan kereta jenama R yang dijual. The number of brand Q cars sold is 40. Calculate the number of brand R cars sold. A 60 C 90 B 80 D 160 26 Jadual 2 menunjukkan jualan karipap dalam tiga hari. Table 2 shows the sales of curry puffs in three days. Hari Day Bilangan karipap Number of curry puffs Isnin Monday 150 Selasa Tuesday 80 Rabu Wednesday 90 Jadual 2 Table 2 Nyatakan nisbah jualan karipap pada hari Selasa kepada jumlah jualan karipap dalam tiga hari. State the ratio of the number of curry puffs sold on Tuesday to the total number of curry puffs sold in three days. A 1 : 3 B 1 : 4 C 1 : 5 D 1 : 6 S R Q P 180° 45° 45° 90° 09_Mathzier1.0 Mate Thn6 Edisi 2022_PAT 5th.indd 104 9/12/22 11:10 AM GLOBAL MEDIASTREET SDN. BHD.

J1 © Global Mediastreet Sdn. Bhd. (762284-U) JAWAPAN ANSWERS Unit 1 KERTAS 1 1 B 2 A 3 C 4 D 5 A 6 D 7 B 8 A 9 A 10 B 11 D 12 D 13 B 14 C 15 C 16 B 17 C 18 A 19 A 20 B 21 D 22 C 23 D 24 C 25 B 26 A 27 D 28 C 29 D 30 C 31 D 32 C KERTAS 2 1 (a) Tiga juta lapan ratus tujuh puluh lima ribu lapan Three million eight hundred seventy-five thousand and eight (b) 70 000 2 (a) 83 200 (b) Tertib menaik darab dua-dua Ascending order multiplied by twos 3 (a) 2 080 000 (b) 6 7 10 juta/million 4 (a) 3 700 000 (b) 3 380 000 5 (a) 0.009 juta/million (b) 3 1 2 juta/million 6 (a) 102 458 (b) 5 122 900 7 (a) 5 625 000 (b) 155 000 8 (a) 10 (b) 1 600 000 9 (a) 9 2 5 juta/million (b) 2.15 juta/million 10 (a) 47, 91 (b) 9, 21 11 31, 37 12 (a) 3 4 juta/million (b) 10 000 13 (a) 4 000 (b) 1 500 000 14 (a) 700 000 (b) 2 900 000 (c) 12 000 15 (a) 400 000 (b) 950 000 16 (a) 1 800 000 (b) Bilangan kasut sekolah tidak terjual Number of unsold school shoes = 3 3 8 juta – 1.05 juta – 1.8 juta = 3 375 000 – 1 050 000 – 1 800 000 = 525 000 17 Bilangan blaus Number of blouses = 4 250 000 ÷ 250 = 17 000 Setiap kedai tidak menerima 15 000 helai blaus. Each shop does not receive 15 000 blouses. 18 1 400 000 19 1.81 juta/million 20 (a) RM1 500 000 (b) RM500 000 Unit 2 KERTAS 1 1 D 2 B 3 A 4 C 5 D 6 B 7 C 8 A 9 B 10 A 11 B 12 A 13 C 14 D 15 D 16 D 17 A 18 B 19 A 20 C 21 B 22 B 23 D 24 B 25 D 26 C 27 C 28 B 29 C 30 D 31 A 32 C 33 B 34 D 35 B 36 C 37 D 38 A 39 B 40 B 41 D 42 D 43 B 44 B KERTAS 2 1 (a) 1 6 (b) 3 3 5 2 5 3 4 4 (a) X = 2.45, Y = 2.48 (b) 13.475 (c) 13.48 5 77.4 kg 6 51.695 7 3.13 kg 8 (a) 170.5 (b) 40.5 9 (a) 7.1 (b) 98% 10_Mathzier1.0 Mate Thn6 Edisi 2022_Jwp 5th.indd 1 9/12/22 11:08 AM GLOBAL MEDIASTREET SDN. BHD.

© Global Mediastreet Sdn. Bhd. (762284-U) J2 10 (a) 195% (b) 277% 11 0.5 12 16 13 160% 14 (a) 16.15 (b) 13.95 kg 15 (a) 240 (b) 4 444 16 1.78 17 (a) 100 m (b) 13.15 m 18 (a) 4.6 kg (b) 14.2 kg (c) 5.68 kg 19 9 20 14 21 (a) RM8 550 (b) RM6 156 Unit 3 KERTAS 1 1 D 2 C 3 C 4 A 5 B 6 D 7 B 8 A 9 B 10 D 11 A 12 D 13 B 14 C 15 D 16 C 17 C 18 A 19 A 20 C 21 B 22 D 23 D 24 A 25 D 26 C 27 A 28 D 29 A 30 B KERTAS 2 1 (a) Untung/Profit (b) RM595 2 RM1 249 3 RM60 4 RM144 5 (a) RM7.50 (b) RM142.50 6 (a) Seratus dua puluh ringgit One hundred and twenty ringgit (b) RM188.90 7 RM238 8 Jam lebih murah selepas diskaun. The clock is cheaper after the discount. 9 (a) RM52.20 (b) RM922.20 (c) RM872.20 10 i. Melindungi diri sendiri jika sesuatu berlaku. Protect ourselves if anything happens. ii. Melindungi harta benda milik sendiri jika sesuatu berlaku Protect our properties if anything happens 11 i. Risiko ditanggung peserta secara kumpulan Risks are borne by participants in a group ii. Wajib patuh syariah Syariah compliant iii. Diawasi undang-undang syariah dan kerajaan Subject to syariah laws and government laws 12 (a) RM1 783.50 (b) RM428.04 13 (a) Harta bersih Aaron Aaron’s net assets = RM115 000 Harta bersih Aziz Aziz’s net assets = RM215 300 (b) Aziz lebih bijak mengurus kewangan. Aziz is wiser in managing his finance. 14 (a) RM38 400 (b) RM1 500 15 RM339.20 16 Untung pembersih hampagas P Profits of vacuum cleaner P = RM2 900 – RM2 500 = RM400 Untung pembersih hampagas Q Profits of vacuum cleaner Q = RM2 900 – RM2 700 = RM200 Pembersih hampagas P lebih menguntungkan pekedai. Vacuum cleaner P is profitable for the seller. 17 RM1.299 juta/million 18 (a) RM228 (b) 30% 19 (a) RM300 (b) RM20 300 (c) RM25 679.50 20 (a) RM35 000 (b) RM26 000 (c) Jumlah aset bersih Qaisara Qaisara’s total net assets = RM100 000 – RM61 000 = RM39 000 Jumlah aset bersih Alicia Alicia’s total net assets = RM80 000 – RM35 000 = RM45 000 Alicia lebih bijak mengurus kewangan. Alicia is wiser in managing her finance. Unit 4 KERTAS 1 1 A 2 D 3 B 4 A 5 D 6 A 7 A 8 D 9 B 10 D 10_Mathzier1.0 Mate Thn6 Edisi 2022_Jwp 5th.indd 2 9/12/22 11:09 AM GLOBAL MEDIASTREET SDN. BHD.

J3 © Global Mediastreet Sdn. Bhd. (762284-U) 11 B 12 C 13 C 14 C 15 C 16 B 17 A 18 A 19 D 20 D 21 B 22 C 23 D 24 A 25 C KERTAS 2 1 (a) Jam 0400/0400 hours (b) Jam 0500/0500 hours 2 2 jam 30 minit/2 hours 30 minutes 3 (a) 5.30 p.m. (b) Jam 1630/1630 hours/4.30 p.m. 4 (a) Barat/West (b) 9.45 a.m. 5 4.15 a.m. 6 6 jam/6 hours 7 5.35 p.m. 8 (a) 5 jam/5 hours (b) Jam 1630/1630 hours 9 (a) Jam 0645/0645 hours (b) 2.35 a.m. 10 8.10 p.m. 11 (a) Jam 1330/1330 hours/1.30 p.m. (b) 9.25 p.m. (c) 4 p.m. 12 (a) Jam 1930/1930 hours/7.30 p.m. (b) Jam 2030/2030 hours/8.30 p.m. 13 (a) 6.25 a.m. (b) 12.25 p.m. (c) 11.25 a.m. 14 (a) Barat/West (b) Jam 0900/0900 hours/9.00 a.m. (c) Jam 2130/2130 hours/9.30 p.m. 15 (a) 5.45 p.m. (b) Jam 2315/2315 hours/11.15 p.m. (c) 4.25 a.m. Unit 5 KERTAS 1 1 A 2 C 3 D 4 B 5 A 6 C 7 D 8 A 9 C 10 A 11 A 12 C 13 B 14 C 15 C 16 D 17 B 18 C 19 D 20 B 21 A 22 B 23 C 24 C 25 B 26 A 27 D KERTAS 2 1 (a) 12 (b) 24 2 1.5 3 1 300 m 4 8 5 13.6 m 6 8 7 (a) 26 000 m (b) 3.12 8 0.72 kg 9 10 cm 10 6 11 12 kg 12 0.15 13 7.5 14 3.5 m 15 5 m → 0.6 40 → 40 × 0.6 5 = 4.8 4.8 l  3 Maka, cat itu tidak mencukupi untuk mengecat keseluruhan dinding itu. Thus, the paint is not enough to paint the whole wall. 16 4.5 kg 17 (a) 3.75 kg (b) 0.625 18 (a) Tidak bertambah/Not increase (b) 24 cm 19 4.5 l 20 1.225 21 (a) 10.5 km (b) 12.5 (c) 10.5 km 22 (a) 3 (b) 0.6 Unit 6 KERTAS 1 1 A 2 C 3 B 4 A 5 B 6 D 7 B 8 C 9 A 10 B 11 C 12 A 13 B 14 B 15 A 16 D 17 B 18 A 19 D 20 C 21 B 22 D 23 A 24 D 25 C 26 C 27 A 28 A 29 A 30 C 31 A 32 B 33 D 34 A 35 D KERTAS 2 1 (a) 80° (b) Sudut tirus/Acute angle 2 (a) 105° 10_Mathzier1.0 Mate Thn6 Edisi 2022_Jwp 5th.indd 3 9/12/22 11:09 AM GLOBAL MEDIASTREET SDN. BHD.

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