Practice paper, not an official KPM paperKertas latihan, bukan kertas rasmi KPM

Matematik Tahun 6

Ujian Akhir Sesi AkademikEnd of Academic Session Test

MatematikMathematics

Darjah 6, 1 jam 15 minit / 1 hour 15 minutes, 50 marksmarkah

Nama / NameNama

Kelas / ClassKelas

Tarikh / DateTarikh

Markah / marksmarkah: / 50

InstructionsArahan

Jawab semua soalan.Answer all questions.
Tulis jawapan dan tunjukkan langkah-langkah penting.Write the answer and show the important steps.
Rajah tidak dilukis mengikut skala kecuali dinyatakan.Diagrams are not drawn to scale unless stated.
Bahagian A: 26 markah. Bahagian B: 24 markah.Section A: 26 marks. Section B: 24 marks.

Answer schemes are in English (DLP).Skema jawapan dalam Bahasa Inggeris (DLP).

Practice shows answers as you go. Exam times you and hides answers until you submit.Latihan menunjukkan jawapan semasa menjawab. Peperiksaan menetapkan masa dan menyembunyikan jawapan sehingga dihantar.

Bahagian ASection A

26 marksmarkah

Jawab semua soalan.Answer all questions.

QuestionSoalan 1

Place-value chart: 5 millions, 2 hundred thousands, 7 ten thousands, 3 thousands, 4 hundreds, 0 tens, 8 ones — Rajah 1Diagram 1

[1 markmarkah] Rajah 1 menunjukkan satu nombor dalam carta nilai tempat. Tulis nombor yang kurang 100 000 daripada nombor itu.Diagram 1 shows a number in a place-value chart. Write the number that is 100 000 less than this number.

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5 173 408 [1] (5 273 408 − 100 000: the hundred-thousands digit goes from 2 to 1)1

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For the teacherUntuk guru: UnderstandingMemahami, lowrendah difficultyaras lowrendah, Unit 1, standard 1.1.1

TextbookBuku teks p.ms. 3

QuestionSoalan 2

[1 markmarkah] Tulis nombor perdana terbesar yang kurang daripada 70.Write the largest prime number that is less than 70.

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67 [1] (69 = 3 × 23, 68 and 66 are even, 67 has no factor other than 1 and 67)1

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For the teacherUntuk guru: ApplyingMengaplikasi, hightinggi difficultyaras hightinggi, Unit 1, standard 1.3.1

TextbookBuku teks p.ms. 43

QuestionSoalan 3

[2 marksmarkah] Lengkapkan pola nombor ini: 2 400 000, 1 200 000, 600 000, 300 000, ______Complete this number pattern: 2 400 000, 1 200 000, 600 000, 300 000, ______

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The rule is divide by 2 (each number is half of the one before) [1]1
300 000 ÷ 2 = 150 000 [1]1

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For the teacherUntuk guru: UnderstandingMemahami, lowrendah difficultyaras lowrendah, Unit 1, standard 1.1.2

TextbookBuku teks p.ms. 5

QuestionSoalan 4

[2 marksmarkah] 8.4 ÷ 0.35 =

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840 ÷ 35 [1] (multiply both numbers by 100 so the divisor is a whole number)1
24 [1]1

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For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, Unit 2, standard 2.2.2

TextbookBuku teks p.ms. 71

QuestionSoalan 5

[2 marksmarkah] Hitung 7 800 000 − 1.35 juta. Tulis jawapan dalam angka.Calculate 7 800 000 − 1.35 million. Write the answer in numerals.

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1.35 million = 1 350 000 [1]1
7 800 000 − 1 350 000 = 6 450 000 [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, Unit 1, standard 1.2.1

TextbookBuku teks p.ms. 30

QuestionSoalan 6

[2 marksmarkah] Sebuah kilang menghasilkan 3 456 789 batang pensel lalu mengepaknya ke dalam kotak. Setiap kotak diisi 47 batang pensel. Berapakah bilangan kotak yang penuh dan berapakah bilangan pensel yang tinggal?A factory makes 3 456 789 pencils and packs them into boxes. Each box holds 47 pencils. How many full boxes are there and how many pencils are left over?

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3 456 789 ÷ 47 = 73 548 remainder 33 [1] (47 × 73 548 = 3 456 756)1
73 548 full boxes and 33 pencils left over [1]1

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For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, Unit 1, standard 1.2.1

TextbookBuku teks p.ms. 22

QuestionSoalan 7

Map: A to B is 8.5 cm, 1 cm represents 2 km — Rajah 2Diagram 2

[2 marksmarkah] Rajah 2 menunjukkan jarak antara bandar A dengan bandar B pada sebuah peta. Hitung jarak sebenar, dalam km, antara A dengan B.Diagram 2 shows the distance between town A and town B on a map. Calculate the actual distance, in km, between A and B.

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1 cm represents 2 km, so 8.5 × 2 [1]1
17 km [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, Unit 7, standard 7.1.1

TextbookBuku teks p.ms. 188

QuestionSoalan 8

Table: Kuala Lumpur 1005 hours, Colombo 0735 hours at the same moment — Rajah 3Diagram 3

[2 marksmarkah] Rajah 3 menunjukkan masa di Kuala Lumpur dan Colombo pada saat yang sama. Hitung beza masa, dalam minit, antara kedua-dua bandar itu.Diagram 3 shows the time in Kuala Lumpur and Colombo at the same moment. Calculate the time difference, in minutes, between the two cities.

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1005 − 0735 = 2 hours 30 minutes [1]1
2 × 60 + 30 = 150 minutes [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, Unit 4, standard 4.1.2

TextbookBuku teks p.ms. 146

QuestionSoalan 9

Road sign: Kota Jaya 143 km — Rajah 4Diagram 4

[2 marksmarkah] Sebuah kereta menggunakan 4 ℓ petrol untuk bergerak sejauh 52 km. Rajah 4 menunjukkan papan tanda jalan. Berapa litre petrol yang diperlukan untuk bergerak sejauh jarak pada papan tanda itu?A car uses 4 ℓ of petrol to travel 52 km. Diagram 4 shows a road sign. How many litres of petrol are needed to travel the distance shown on the sign?

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52 km ÷ 4 ℓ = 13 km for 1 ℓ [1]1
143 ÷ 13 = 11 ℓ [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: UnderstandingMemahami, lowrendah difficultyaras lowrendah, Unit 5, standard 5.1.1 (ii)

TextbookBuku teks p.ms. 158

QuestionSoalan 10

Pie chart of favourite drinks: orange 144 degrees, milk 108 degrees, soya 72 degrees, lemon x degrees — Rajah 5Diagram 5

[2 marksmarkah] Rajah 5 ialah carta pai yang menunjukkan minuman kegemaran 180 orang murid. Hitung bilangan murid yang memilih lemon.Diagram 5 is a pie chart showing the favourite drinks of 180 pupils. Calculate the number of pupils who chose lemon.

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x = 360° − 144° − 108° − 72° = 36° [1]1
36360 × 180 = 18 pupils [1]1

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For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, Unit 8, standard 8.1.1

TextbookBuku teks p.ms. 210

QuestionSoalan 11

[2 marksmarkah] Sekeping syiling dilambung sekali. Nyatakan kemungkinan syiling itu menunjukkan bahagian kepala dengan memilih perkataan yang sesuai dan beri satu sebab.A coin is tossed once. Choose a suitable word for the likelihood that it shows heads and give one reason.

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Equally likely [1]1
The coin has 2 sides, heads and tails, and each has the same chance of showing [1]1

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For the teacherUntuk guru: UnderstandingMemahami, lowrendah difficultyaras lowrendah, Unit 8, standard 8.2.1

TextbookBuku teks p.ms. 213

QuestionSoalan 12

Table: deposit RM7 500.00, interest rate 3.2% per year, period 1 year — Rajah 6Diagram 6

[3 marksmarkah] Rajah 6 menunjukkan simpanan Encik Rahman di sebuah bank. Pada akhir 1 tahun, dia mengeluarkan RM1 200 daripada akaun itu selepas faedah dimasukkan. Hitung baki wang dalam akaun itu.Diagram 6 shows the savings of Encik Rahman in a bank. At the end of 1 year, he withdraws RM1 200 from the account after the interest is added. Calculate the balance of the account.

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Interest = 3.2% × RM7 500 = RM240 [1]1
RM7 500 + RM240 = RM7 740 [1]1
RM7 740 − RM1 200 = RM6 540 [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: AnalysingMenganalisis, hightinggi difficultyaras hightinggi, Unit 3, standard 3.1.2

TextbookBuku teks p.ms. 118

QuestionSoalan 13

[3 marksmarkah] Sehelai reben sepanjang 4.8 m dipotong kepada beberapa keping yang sama panjang. Setiap keping berukuran 35 m. Kemudian, 25% daripada keping itu digunakan untuk membuat hadiah. Berapakah bilangan keping reben yang tinggal?A ribbon 4.8 m long is cut into equal pieces. Each piece is 35 m long. Then 25% of the pieces are used to make gifts. How many pieces of ribbon are left?

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4.8 ÷ 35 = 8 pieces [1]1
25% × 8 = 2 pieces used [1]1
8 − 2 = 6 pieces [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: AnalysingMenganalisis, hightinggi difficultyaras hightinggi, Unit 2, standard 2.4.1

TextbookBuku teks p.ms. 85

Bahagian BSection B

24 marksmarkah

Jawab semua soalan.Answer all questions.

QuestionSoalan 14

Recipe table for 12 muffins: flour 300 g, milk 180 millilitres — Rajah 7Diagram 7

[3 marksmarkah] Rajah 7 menunjukkan resipi untuk 12 biji muffin. Hitung jisim tepung, dalam kg, dan isi padu susu, dalam ℓ, yang diperlukan untuk membuat 60 biji muffin.Diagram 7 shows a recipe for 12 muffins. Calculate the mass of flour, in kg, and the volume of milk, in ℓ, needed to make 60 muffins.

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60 ÷ 12 = 5 times the recipe [1]1
Flour: 5 × 300 g = 1 500 g = 1.5 kg [1]1
Milk: 5 × 180 mℓ = 900 mℓ = 0.9 ℓ [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, Unit 5, standard 5.1.1 (iii)

TextbookBuku teks p.ms. 161

QuestionSoalan 15

Cartesian plane with W at (2, 6), K at (8, 6) and S at (8, 1) — Rajah 8Diagram 8

[1 markmarkah] (i)Rajah 8 menunjukkan kedudukan pejabat pos W, kedai sukan K dan sekolah S di sebuah pekan. Nyatakan koordinat K.Diagram 8 shows the positions of the post office W, the sports shop K and the school S in a town. State the coordinates of K.

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(8, 6) [1]1

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[2 marksmarkah] (ii)Setiap 1 unit pada satah itu mewakili 150 m. Naim berbasikal dari W ke K, kemudian dari K ke S. Hitung jumlah jarak, dalam km, yang dilalui oleh Naim.Each 1 unit on the plane represents 150 m. Naim cycles from W to K, then from K to S. Calculate the total distance, in km, that Naim cycles.

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W to K = 6 units, K to S = 5 units, total 11 units [1]1
11 × 150 = 1 650 m = 1.65 km [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, Unit 7, standard 7.1.1

TextbookBuku teks p.ms. 190

QuestionSoalan 16

Invoice: sports shoes RM89.90 x 1, badminton racket RM62.50 x 2, shuttlecock tube RM11.70 x 3 — Rajah 9Diagram 9

[3 marksmarkah] Rajah 9 menunjukkan invois untuk barang yang dibeli di sebuah kedai sukan. Cukai perkhidmatan ialah 6% daripada jumlah harga barang. Tuan Hadi membayar dengan RM300. Hitung baki wang yang diterima oleh Tuan Hadi.Diagram 9 shows the invoice for items bought at a sports shop. Service tax is 6% of the total price of the items. Mr Hadi pays with RM300. Calculate the change Mr Hadi receives.

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RM89.90 + 2 × RM62.50 + 3 × RM11.70 = RM89.90 + RM125.00 + RM35.10 = RM250.00 [1]1
Service tax = 6% × RM250.00 = RM15.00, total RM265.00 [1]1
RM300 − RM265.00 = RM35.00 [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, Unit 3, standard 3.1.2

TextbookBuku teks p.ms. 118

QuestionSoalan 17

Bar model: footballs 7 parts equal 84 balls, netballs 4 parts — Rajah 10Diagram 10

[3 marksmarkah] Rajah 10 menunjukkan bilangan bola sepak dan bola jaring di sebuah kedai sukan dalam nisbah 7 : 4. Terdapat 84 biji bola sepak. Hitung jumlah bilangan bola sepak dan bola jaring di kedai itu.Diagram 10 shows the footballs and netballs in a sports shop in the ratio 7 : 4. There are 84 footballs. Calculate the total number of footballs and netballs in the shop.

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84 ÷ 7 = 12 balls for 1 part [1]1
Netballs = 4 × 12 = 48 [1]1
84 + 48 = 132 balls [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: AnalysingMenganalisis, hightinggi difficultyaras hightinggi, Unit 7, standard 7.3.1

TextbookBuku teks p.ms. 199

QuestionSoalan 18

Table: 3 batches a day, 475 rolls in each batch, 26 days, 6 rolls in each bag — Rajah 11Diagram 11

[3 marksmarkah] Sebuah kedai roti membakar roti gulung seperti dalam Rajah 11. Semua roti gulung yang dibakar dalam sebulan dimasukkan ke dalam beg. Hitung bilangan beg yang diperlukan.A bakery bakes bread rolls as shown in Diagram 11. All the rolls baked in a month are put into bags. Calculate the number of bags needed.

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3 × 475 = 1 425 rolls a day [1]1
1 425 × 26 = 37 050 rolls in a month [1]1
37 050 ÷ 6 = 6 175 bags [1]1

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For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, Unit 1, standard 1.4.1

TextbookBuku teks p.ms. 48

QuestionSoalan 19

Table: Kuala Lumpur is GMT +8 and Sydney is GMT +10 — Rajah 12Diagram 12

[3 marksmarkah] Sebuah pesawat berlepas dari Kuala Lumpur pada pukul 10:45 malam, hari Selasa, dan mengambil masa 7 jam 30 minit untuk sampai di Sydney. Rajah 12 menunjukkan zon waktu bandar-bandar itu. Pada pukul berapa dan hari apakah pesawat itu tiba di Sydney? Tulis dalam sistem 12 jam.A plane leaves Kuala Lumpur at 10:45 p.m. on Tuesday and takes 7 hours 30 minutes to reach Sydney. Diagram 12 shows the time zones of the cities. At what time and on which day does the plane arrive in Sydney? Write in the 12-hour system.

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Sydney is 10 − 8 = 2 hours ahead of Kuala Lumpur [1]1
10:45 p.m. + 7 h 30 min = 6:15 a.m. Wednesday in Kuala Lumpur, so 6:15 a.m. + 2 hours = 8:15 a.m. [1]1
Wednesday [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, Unit 4, standard 4.2.1

TextbookBuku teks p.ms. 152

QuestionSoalan 20

Six equal round cakes in 2 rows of 3 touching each other and the sides of a box, radius 7 centimetres — Rajah 13Diagram 13

[3 marksmarkah] Rajah 13 menunjukkan 6 biji kek bulat yang sama saiz di dalam sebuah kotak segi empat tepat. Kek-kek itu bersentuhan antara satu sama lain dan dengan sisi kotak. Jejari setiap kek ialah 7 cm. Hitung panjang dan lebar, dalam cm, kotak itu.Diagram 13 shows 6 round cakes of the same size in a rectangular box. The cakes touch each other and the sides of the box. The radius of each cake is 7 cm. Calculate the length and the width, in cm, of the box.

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Diameter = 2 × 7 = 14 cm [1]1
Length = 3 × 14 = 42 cm [1]1
Width = 2 × 14 = 28 cm [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, Unit 6, standard 6.3.1

TextbookBuku teks p.ms. 185

QuestionSoalan 21

[3 marksmarkah] Sebuah kedai roti membakar 600 biji tart. Sebanyak 35% tart terjual pada waktu pagi dan 20% terjual pada waktu petang. Berapakah bilangan tart yang tidak terjual?A bakery bakes 600 tarts. 35% of the tarts are sold in the morning and 20% are sold in the afternoon. How many tarts are not sold?

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35% + 20% = 55% sold [1]1
100% − 55% = 45% not sold [1]1
45% × 600 = 270 tarts [1]1

Tick each point you got.Tandakan setiap isi yang betul.

For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, Unit 2, standard 2.5.1

TextbookBuku teks p.ms. 95

Test specification (JSU)Jadual Spesifikasi Ujian (JSU)

Unit	RememberingMengingat	UnderstandingMemahami	ApplyingMengaplikasi	AnalysingMenganalisis	EvaluatingMenilai	CreatingMencipta	Items	marksmarkah
1. Whole Numbers and Operations	–	2 (3)	4 (8)	–	–	–	6	11
2. Fractions, Decimals and Percentages	–	–	2 (5)	1 (3)	–	–	3	8
3. Money	–	–	1 (3)	1 (3)	–	–	2	6
4. Time	–	–	2 (5)	–	–	–	2	5
5. Measurement	–	1 (2)	1 (3)	–	–	–	2	5
6. Space	–	–	1 (3)	–	–	–	1	3
7. Coordinates, Ratio and Proportion	–	–	2 (5)	1 (3)	–	–	3	8
8. Data Handling and Likelihood	–	1 (2)	1 (2)	–	–	–	2	4
TotalJumlah	0 (0)	4 (7)	14 (34)	3 (9)	0 (0)	0 (0)	21	50

Each cell shows items (marks).Setiap petak menunjukkan item (markah).