Practice paper, not an official KPM paper

Matematik Tahun 6

Ujian Akhir Sesi AkademikEnd of Academic Session Test

MatematikMathematics

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

Nama / Name

Kelas / Class

Tarikh / Date

Markah / Marks: / 50

Instructions

Jawab semua soalan.Answer all questions.
Tulis jawapan dan tunjukkan langkah-langkah penting.Write the answer and show the important steps.
Bahagian A: 26 markah. Bahagian B: 24 markah.Section A: 26 marks. Section B: 24 marks.

Answer schemes are in English (DLP).

Practice shows answers as you go. Exam times you and hides answers until you submit.

Bahagian ASection A

26 marks

Jawab semua soalan.Answer all questions.

Question 1

Rajah 1 menunjukkan satu nombor pada kad nombor. Nyatakan nilai digit bagi digit 3.Diagram 1 shows a number on a number card. State the digit value of the digit 3.

Number card showing 5 306 482 with the digit 3 marked — Rajah 1Diagram 1

[1 mark]

Show answerHide answer

300 000 (the number is 5 306 482)

The 3 is in the hundred thousands place: digit value 300 000 [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, Unit 1, standard 1.1.1

Textbook p. 5

Question 2

Saya ialah nombor perdana antara 30 dengan 60. Hasil tambah digit saya ialah 8. Apakah nombor saya?I am a prime number between 30 and 60. The sum of my digits is 8. What number am I?

[1 mark]

Show answerHide answer

53 (35 and 44 also have digit sum 8 but are composite, so only 53 is prime)

53 [1]1

Tick each point you got.

For the teacher: Applying, high difficulty, Unit 1, standard 1.3.1

Textbook p. 40

Question 3

2.35 juta × 4 = ______
Tulis jawapan sebagai nombor bulat.2.35 million × 4 = ______
Write the answer as a whole number.

[2 marks]

Show answerHide answer

9 400 000 (check: 2 350 000 × 4 = 9 400 000)

2.35 × 4 = 9.4, so the answer is 9.4 million [1]1
9 400 000 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 1, standard 1.2.1

Textbook p. 22

Question 4

0.208 × 3.5 =

[2 marks]

Show answerHide answer

0.728 (check: 0.2 × 3.5 = 0.7, close to 0.728)

208 × 35 = 7 280 [1]1
Three decimal places and one decimal place make four places: 0.728 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 2, standard 2.2

Textbook p. 72

Question 5

Nadia membaca 36% daripada sebuah buku pada hari Sabtu dan 29% pada hari Ahad. Buku itu ada 200 halaman. Berapakah halaman yang telah dibaca oleh Nadia?Nadia reads 36% of a book on Saturday and 29% on Sunday. The book has 200 pages. How many pages has Nadia read?

[2 marks]

Show answerHide answer

130 pages (check: 36% = 72 pages and 29% = 58 pages, 72 + 58 = 130)

36% + 29% = 65% [1]1
65% × 200 = 130 pages [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 2, standard 2.3

Textbook p. 84

Question 6

Rajah 2 menunjukkan harga kos sebuah jam dinding. Pekedai itu menjualnya dengan untung 20%. Berapakah harga jualan jam dinding itu?Diagram 2 shows the cost price of a wall clock. The shopkeeper sells it at a profit of 20%. What is the selling price of the wall clock?

Rajah 2Diagram 2

[2 marks]

Show answerHide answer

RM82.20 (or 120% × RM68.50 = RM82.20)

Profit = 20% × RM68.50 = RM13.70 [1]1
Selling price = RM68.50 + RM13.70 = RM82.20 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 3, standard 3.1.1

Textbook p. 104

Question 7

4 250 000 + (3 600 000 − 1 475 000) ÷ 5 =

[2 marks]

Show answerHide answer

Brackets first: 3 600 000 − 1 475 000 = 2 125 000, then 2 125 000 ÷ 5 = 425 000 [1]1
4 250 000 + 425 000 = 4 675 000 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 1, standard 1.2.1

Textbook p. 30

Question 8

Rajah 3 menunjukkan waktu tempatan di dua buah bandar pada masa yang sama. Hitung beza masa antara kedua-dua bandar itu dalam minit.Diagram 3 shows the local times in two cities at the same moment. Calculate the time difference between the two cities in minutes.

Table: Kuala Lumpur 1015 hours, Colombo 0745 hours — Rajah 3Diagram 3

[2 marks]

Show answerHide answer

150 minutes

1015 − 0745 = 2 hours 30 minutes [1]1
2 × 60 + 30 = 150 minutes [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 4, standard 4.1.2

Textbook p. 146

Question 9

Sebatang dawai kuprum sepanjang 4 m berjisim 280 g. Berapakah jisim dawai kuprum yang sama sepanjang 7 m?A copper wire 4 m long has a mass of 280 g. What is the mass of 7 m of the same wire?

[2 marks]

Show answerHide answer

490 g

Mass of 1 m = 280 ÷ 4 = 70 g [1]1
Mass of 7 m = 70 × 7 = 490 g [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 5, standard 5.1.1

Textbook p. 156

Question 10

Rajah 4 menunjukkan sebuah poligon sekata. (a) Nyatakan saiz sudut pedalaman poligon itu. (b) Hitung perimeter poligon itu.Diagram 4 shows a regular polygon. (a) State the size of an interior angle of the polygon. (b) Calculate the perimeter of the polygon.

Regular hexagon with one side marked 9 cm — Rajah 4Diagram 4

[2 marks]

Show answerHide answer

(a) 120° (b) 54 cm

(a) 120° [1]1
(b) 6 × 9 = 54 cm [1]1

Tick each point you got.

For the teacher: Understanding, medium difficulty, Unit 6, standard 6.1.1

Textbook p. 172

Question 11

Sebuah kotak mengandungi 9 keping kad kuning dan 3 keping kad hijau. Kad-kad itu sama saiz. Kamal mengambil satu kad tanpa melihat. Nyatakan kemungkinan dia mendapat kad kuning. Pilih daripada: mustahil, kecil kemungkinan, sama kemungkinan, besar kemungkinan, pasti. Beri satu sebab.A box has 9 yellow cards and 3 green cards. The cards are the same size. Kamal takes one card without looking. How likely is it that he gets a yellow card? Choose from: impossible, less likely, equally likely, more likely, certain. Give one reason.

[2 marks]

Show answerHide answer

More likely, because there are more yellow cards than green cards.

More likely [1]1
There are more yellow cards (9) than green cards (3) [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, Unit 8, standard 8.2.1

Textbook p. 218

Question 12

Rajah 5 menunjukkan dua akaun simpanan Puan Rohani. Hitung jumlah simpanan Puan Rohani pada akhir 1 tahun jika dia tidak mengeluarkan wang.Diagram 5 shows two savings accounts of Puan Rohani. Calculate Puan Rohani's total savings at the end of 1 year if she does not withdraw any money.

Table: Account A RM12 000.00 at 3% per annum; Account B RM8 000.00 at 3.5% per annum — Rajah 5Diagram 5

[3 marks]

Show answerHide answer

RM20 640

Interest A = 3% × RM12 000 = RM360 [1]1
Interest B = 3.5% × RM8 000 = RM280 [1]1
Total = RM12 000 + RM8 000 + RM360 + RM280 = RM20 640 [1]1

Tick each point you got.

For the teacher: Applying, high difficulty, Unit 3, standard 3.1.2

Textbook p. 118

Question 13

Zaid ada RM360. Dia membelanja 2/5 daripada wang itu untuk membeli sebuah topi keledar. Kemudian, dia membelanja 30% daripada baki wang itu untuk membeli sebuah buku. Berapakah wang Zaid yang tinggal?Zaid has RM360. He spends 2/5 of the money on a helmet. Then he spends 30% of the money that is left on a book. How much money does Zaid have left?

[3 marks]

Show answerHide answer

RM151.20 (or 70% × RM216 = RM151.20)

2/5 × RM360 = RM144, so RM360 − RM144 = RM216 [1]1
30% × RM216 = RM64.80 [1]1
RM216 − RM64.80 = RM151.20 [1]1

Tick each point you got.

For the teacher: Applying, high difficulty, Unit 2, standard 2.4

Textbook p. 96

Bahagian BSection B

24 marks

Jawab semua soalan.Answer all questions.

Question 14

Rajah 6 menunjukkan sebahagian daripada invois sebuah kedai cetak untuk Pesta Sekolah. Cukai perkhidmatan ialah 6%. Hitung jumlah bayaran yang perlu dibuat oleh pihak sekolah.Diagram 6 shows an invoice from a printing shop for the School Fair. The service tax is 6%. Calculate the total amount the school has to pay.

Invoice: T-shirt printing 40 at RM18.50 = RM740.00; posters 25 at RM3.60 = RM90.00; sticker packs 12 at RM5.50 = RM66.00 — Rajah 6Diagram 6

[3 marks]

Show answerHide answer

RM949.76

Total of items = RM740.00 + RM90.00 + RM66.00 = RM896.00 [1]1
Service tax = 6% × RM896.00 = RM53.76 [1]1
Total payment = RM896.00 + RM53.76 = RM949.76 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 3, standard 3.1.1

Textbook p. 112

Question 15

Rajah 7 menunjukkan kedudukan tiga buah gerai di padang sekolah pada satah Cartes.Diagram 7 shows the positions of three stalls on the school field on a Cartesian plane.

Cartesian plane: K at (2, 7), A at (9, 7), M at (5, 3); 1 unit represents 5 m — Rajah 7Diagram 7

[1 mark] (a)Nyatakan koordinat Gerai Mainan, M.State the coordinates of the Toy stall, M.

Show answerHide answer

(5, 3)

(5, 3) [1]1

Tick each point you got.

[2 marks] (b)Hitung jarak mengufuk, dalam m, antara Gerai Kuih, K, dengan Gerai Air, A.Calculate the horizontal distance, in m, between the Cake stall, K, and the Drinks stall, A.

Show answerHide answer

35 m

9 − 2 = 7 units [1]1
7 × 5 = 35 m [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 7, standard 7.1.1

Textbook p. 190

Question 16

Jawatankuasa Pesta membeli sebuah periuk nasi elektrik sebagai hadiah. Rajah 8 menunjukkan tanda harganya. Harga itu diberi rebat 15%. Kemudian, jawatankuasa menggunakan baucar bernilai RM30. Berapakah harga yang perlu dibayar?The Fair committee buys an electric rice cooker as a prize. Diagram 8 shows its price tag. The price has a 15% rebate. Then the committee uses a voucher worth RM30. How much must they pay?

Price tag: electric rice cooker RM260.00, 15% rebate first, then RM30 voucher — Rajah 8Diagram 8

[3 marks]

Show answerHide answer

RM191

Rebate = 15% × RM260 = RM39 [1]1
Price after rebate = RM260 − RM39 = RM221 [1]1
Price after voucher = RM221 − RM30 = RM191 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 3, standard 3.1.1

Textbook p. 110

Question 17

Pesta Sekolah mengutip RM16 000. Sebanyak 40% daripada wang itu disimpan dalam akaun bank. Rajah 9 menunjukkan butiran akaun itu. Berapakah baki wang dalam akaun itu selepas pengeluaran pada akhir tahun?The School Fair collected RM16 000. 40% of the money was saved in a bank account. Diagram 9 shows the details of the account. How much money is left in the account after the withdrawal at the end of the year?

Table: interest rate 2.5% per annum; time saved 1 year; withdrawal at the end of the year RM2 785.50 — Rajah 9Diagram 9

[3 marks]

Show answerHide answer

RM3 774.50

Amount saved = 40% × RM16 000 = RM6 400 [1]1
Interest = 2.5% × RM6 400 = RM160, so the total is RM6 560 [1]1
RM6 560 − RM2 785.50 = RM3 774.50 [1]1

Tick each point you got.

For the teacher: Analysing, high difficulty, Unit 3, standard 3.3.1

Textbook p. 128

Question 18

Sebuah televisyen berharga RM2 000. Encik Faiz membayar 35% daripada harga itu sebagai wang pendahuluan. Puan Mala membeli televisyen yang sama dan membayar 3/8 daripada harga itu sebagai wang pendahuluan. Siapakah yang membayar lebih banyak dan berapakah bezanya?A television costs RM2 000. Encik Faiz pays 35% of the price as a deposit. Puan Mala buys the same television and pays 3/8 of the price as a deposit. Who pays more, and by how much?

[3 marks]

Show answerHide answer

Puan Mala, RM50 more

35% × RM2 000 = RM700 [1]1
3/8 × RM2 000 = RM750 [1]1
Puan Mala pays more, by RM750 − RM700 = RM50 [1]1

Tick each point you got.

For the teacher: Analysing, medium difficulty, Unit 2, standard 2.5

Textbook p. 98

Question 19

Rajah 10 menunjukkan butiran sebuah konsert langsung. Pada pukul berapakah konsert itu bermula di Kuala Lumpur? Tulis jawapan dalam sistem 24 jam dan nyatakan harinya.Diagram 10 shows details of a live concert. At what time does the concert start in Kuala Lumpur? Write the answer in the 24-hour system and state the day.

Table: live concert, Paris (GMT +1) starts at 2030 hours, viewer city Kuala Lumpur (GMT +8) — Rajah 10Diagram 10

[3 marks]

Show answerHide answer

0330 hours the next day

Time difference = 8 − 1 = 7 hours (Kuala Lumpur is ahead) [1]1
2030 + 7 hours = 2730 hours [1]1
2730 − 2400 = 0330 hours, the next day [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 4, standard 4.2.1

Textbook p. 150

Question 20

Rajah 11 menunjukkan sumbangan daripada tiga buah negeri untuk dana bantuan banjir. Sasaran dana ialah RM5 000 000. Berapakah lagi wang yang diperlukan untuk mencapai sasaran itu?Diagram 11 shows donations from three states to a flood relief fund. The target of the fund is RM5 000 000. How much more money is needed to reach the target?

Table: Selangor RM1 482 600; Johor RM986 300; Perak RM1 125 400 — Rajah 11Diagram 11

[3 marks]

Show answerHide answer

RM1 405 700

Total = 1 482 600 + 986 300 + 1 125 400 [1]1
= RM3 594 300 [1]1
RM5 000 000 − RM3 594 300 = RM1 405 700 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 1, standard 1.4.1

Textbook p. 54

Question 21

Rajah 12 ialah carta pai yang menunjukkan cara Pesta Sekolah membelanjakan wang. Jumlah perbelanjaan ialah RM2 400.Diagram 12 is a pie chart that shows how the School Fair spent its money. The total spent is RM2 400.

Pie chart: equipment 180 degrees, prizes 90 degrees, food 45 degrees, others x — Rajah 12Diagram 12

[1 mark] (a)Hitung nilai x.Calculate the value of x.

Show answerHide answer

45°

x = 360° − (180° + 90° + 45°) = 45° [1]1

Tick each point you got.

[2 marks] (b)Berapakah wang yang dibelanjakan untuk hadiah?How much money was spent on prizes?

Show answerHide answer

RM600

90/360 = 1/4 of the total [1]1
1/4 × RM2 400 = RM600 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 8, standard 8.1.1

Textbook p. 210

Test specification (JSU)

Unit	Remembering	Understanding	Applying	Analysing	Evaluating	Creating	Items	marks
1. Whole Numbers and Operations	1 (1)	–	4 (8)	–	–	–	5	9
2. Fractions, Decimals and Percentages	–	–	3 (7)	1 (3)	–	–	4	10
3. Money	–	–	4 (11)	1 (3)	–	–	5	14
4. Time	–	–	2 (5)	–	–	–	2	5
5. Measurement	–	–	1 (2)	–	–	–	1	2
6. Space	–	1 (2)	–	–	–	–	1	2
7. Coordinates, Ratio and Proportion	–	–	1 (3)	–	–	–	1	3
8. Data Handling and Likelihood	–	1 (2)	1 (3)	–	–	–	2	5
Total	1 (1)	2 (4)	16 (39)	2 (6)	0 (0)	0 (0)	21	50

Each cell shows items (marks).