Practice paper, not an official KPM paper

Matematik Tahun 4

Ujian Akhir Sesi AkademikEnd of Academic Session Test

MatematikMathematics

Darjah 4, 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 jalan kerja. Kalkulator tidak dibenarkan.Write the answer and show your working. Calculators are not allowed.

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. Tunjukkan jalan kerja.Answer all questions. Show your working.

Question 1

Bundarkan 83 650 kepada ribu yang terdekat.Round off 83 650 to the nearest thousand.

[1 mark] Jawapan:Answer:

Show answerHide answer

The hundreds digit is 6 (5 or more), so round up: 84 000 [1]1

Tick each point you got.

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

Textbook p. 16

Question 2

Hitung 2 3/5 + 1 4/5. Tulis jawapan dalam bentuk nombor bercampur yang termudah.Calculate 2 3/5 + 1 4/5. Write the answer as a mixed number in the simplest form.

[2 marks] Jawapan:Answer:

Show answerHide answer

Whole numbers 2 + 1 = 3 and fractions 3/5 + 4/5 = 7/5 = 1 2/5 [1]1
3 + 1 2/5 = 4 2/5 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 2, standard 2.1.2

Textbook p. 72

Question 3

Encik Zaki membeli 6 buah kerusi. Harga sebuah kerusi ialah RM245.50. Dia membayar dengan wang RM1 500.Encik Zaki buys 6 chairs. One chair costs RM245.50. He pays with RM1 500.

[2 marks] (a)Hitung jumlah harga 6 buah kerusi itu.Calculate the total price of the 6 chairs.

Show answerHide answer

6 × RM245.50 [1]1
= RM1 473.00 [1]1

Tick each point you got.

[1 mark] (b)Berapakah baki wang Encik Zaki?How much money does Encik Zaki have left?

Show answerHide answer

RM1 500 − RM1 473.00 = RM27.00 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 3, standard 3.1.3

Textbook p. 113

Question 4

Perlawanan bola jaring bermula pada pukul 2:35 petang dan berlangsung selama 1 jam 45 minit.A netball match starts at 2:35 p.m. and lasts for 1 hour 45 minutes.

[1 mark] (a)Pukul berapakah perlawanan itu tamat? Tulis dalam sistem 24 jam.At what time does the match end? Write it in the 24-hour system.

Show answerHide answer

1620 hours

2:35 p.m. + 1 h 45 min = 4:20 p.m. = 1620 hours [1]1

Tick each point you got.

[1 mark] (b)Tukarkan 1 jam 45 minit kepada minit.Change 1 hour 45 minutes to minutes.

Show answerHide answer

60 + 45 = 105 minutes [1]1

Tick each point you got.

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

Textbook p. 143

Question 5

Rajah 1 menunjukkan jisim sebuah guni beras.Diagram 1 shows the mass of a sack of rice.

Dial scale from 0 to 5 kg with a mark every 100 g; the pointer is 6 small marks after 3 kg — Rajah 1Diagram 1

[1 mark] (a)Nyatakan jisim guni itu dalam g.State the mass of the sack in g.

Show answerHide answer

3 kg + 6 × 100 g = 3 600 g [1]1

Tick each point you got.

[1 mark] (b)Hitung jisim 2 guni beras yang sama dalam kg dan g.Calculate the mass of 2 of the same sacks in kg and g.

Show answerHide answer

2 × 3 600 g = 7 200 g = 7 kg 200 g [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 5, standard 5.2.2

Textbook p. 186

Question 6

Hitung 9 km 60 m − 3 km 850 m. Tulis jawapan dalam km dan m.Calculate 9 km 60 m − 3 km 850 m. Write the answer in km and m.

[2 marks] Jawapan:Answer:

Show answerHide answer

Regroup: 9 km 60 m = 8 km 1 060 m [1]1
8 km 1 060 m − 3 km 850 m = 5 km 210 m [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 5, standard 5.1.7

Textbook p. 179

Question 7

Rajah 2 menunjukkan sebuah poligon sekata.Diagram 2 shows a regular polygon.

A regular pentagon; one side is labelled 7 cm — Rajah 2Diagram 2

[1 mark] (a)Berapakah bilangan bucu poligon itu?How many vertices does the polygon have?

Show answerHide answer

5 vertices (it is a pentagon) [1]1

Tick each point you got.

[1 mark] (b)Hitung perimeter poligon itu.Calculate the perimeter of the polygon.

Show answerHide answer

5 × 7 cm = 35 cm [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, Unit 6, standard 6.3.1

Textbook p. 205

Question 8

Sebuah kotak berbentuk kuboid mempunyai panjang 15 cm, lebar 8 cm dan tinggi 6 cm. Hitung isi padu kotak itu.A box in the shape of a cuboid is 15 cm long, 8 cm wide and 6 cm high. Calculate the volume of the box.

[2 marks] Jawapan:Answer:

Show answerHide answer

Volume = length × width × height = 15 × 8 × 6 [1]1
= 720 cm³ [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 6, standard 6.4.1

Textbook p. 210

Question 9

Rajah 3 menunjukkan kedudukan empat buah rumah K, L, M dan N di sebuah taman perumahan pada satah Cartes.Diagram 3 shows the positions of four houses K, L, M and N in a housing estate on a Cartesian plane.

Cartesian plane, x from 0 to 8, y from 0 to 7: K at (2, 6), L at (5, 3), M at (7, 5), N at (6, 2) — Rajah 3Diagram 3

[1 mark] (a)Tulis koordinat rumah L.Write the coordinates of house L.

Show answerHide answer

L is 5 along and 3 up: (5, 3) [1]1

Tick each point you got.

[1 mark] (b)Rumah manakah berada di (6, 2)?Which house is at (6, 2)?

Show answerHide answer

Go 6 along and 2 up: house N [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, Unit 7, standard 7.1.1

Textbook p. 216

Question 10

Dalam sebuah kotak ada 5 biji guli biru dan 8 biji guli merah. Nyatakan nisbah bilangan guli biru kepada bilangan guli merah.A box has 5 blue marbles and 8 red marbles. State the ratio of the number of blue marbles to the number of red marbles.

[1 mark] Jawapan:Answer:

Show answerHide answer

5 : 8 [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, Unit 7, standard 7.2.1

Textbook p. 219

Question 11

Piktograf dalam Rajah 4 menunjukkan bilangan kenderaan yang melalui pintu pagar sekolah dalam lima hari.The pictograph in Diagram 4 shows the number of vehicles that passed the school gate in five days.

Pictograph, one circle is 20 vehicles: Monday 7, Tuesday 5, Wednesday 6 and a half, Thursday 4, Friday 8 — Rajah 4Diagram 4

[1 mark] (a)Berapakah bilangan kenderaan pada hari Rabu?How many vehicles passed on Wednesday?

Show answerHide answer

6½ symbols: 6 × 20 + 10 = 130 vehicles [1]1

Tick each point you got.

[1 mark] (b)Berapakah bilangan kenderaan pada hari Jumaat melebihi hari Khamis?How many more vehicles passed on Friday than on Thursday?

Show answerHide answer

8 × 20 = 160 and 4 × 20 = 80; 160 − 80 = 80 vehicles [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 8, standard 8.1.2

Textbook p. 237

Question 12

Mak mempunyai 5 kg 400 g gula. Dia menggunakan 750 g gula untuk membuat setiap satu daripada 3 biji kek. Baki gula itu dibungkus sama banyak ke dalam 9 bungkusan. Berapakah jisim gula dalam setiap bungkusan, dalam g?Mother has 5 kg 400 g of sugar. She uses 750 g of sugar for each of 3 cakes. The rest of the sugar is packed equally into 9 packets. What is the mass of sugar in each packet, in g?

[3 marks] Jawapan:Answer:

Show answerHide answer

Sugar used: 3 × 750 g = 2 250 g [1]1
Sugar left: 5 400 g − 2 250 g = 3 150 g [1]1
3 150 g ÷ 9 = 350 g [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 5, standard 5.4.1

Textbook p. 194

Question 13

Terdapat 60 orang murid dalam kumpulan Pandu Puteri. Sebanyak 35% daripada mereka menyertai perkhemahan. Berapakah bilangan murid yang tidak menyertai perkhemahan itu?There are 60 pupils in the Girl Guides group. 35% of them join a camp. How many pupils do not join the camp?

[2 marks] Jawapan:Answer:

Show answerHide answer

39 pupils (or 65% of 60 = 39)

35% of 60 = 35/100 × 60 = 21 pupils join [1]1
60 − 21 = 39 pupils [1]1

Tick each point you got.

For the teacher: Applying, high difficulty, Unit 2, standard 2.3.2

Textbook p. 96

Bahagian BSection B

24 marks

Jawab semua soalan. Tunjukkan jalan kerja.Answer all questions. Show your working.

Question 14

Soalan 1(a) Encik Hamid menjual buah-buahan di sebuah gerai. Rajah 5 menunjukkan jisim mangga dan rambutan yang dia timbang pada pagi tadi.Question 1(a) Encik Hamid sells fruit at a stall. Diagram 5 shows the mass of the mangoes and rambutans he weighed this morning.

Two dial scales from 0 to 3 kg with a mark every 100 g: A (mangoes) 2 kg 700 g, B (rambutans) 1 kg 800 g — Rajah 5Diagram 5

[3 marks] Nyatakan jisim mangga dan jisim rambutan dalam g. Kemudian, hitung jumlah jisim kedua-dua buah itu dalam kg dan g.State the mass of the mangoes and the mass of the rambutans in g. Then calculate the total mass of the two fruits in kg and g.

Show answerHide answer

Mangoes: 2 kg 700 g = 2 700 g [1]1
Rambutans: 1 kg 800 g = 1 800 g [1]1
Total: 2 700 g + 1 800 g = 4 500 g = 4 kg 500 g [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 5, standard 5.2.2

Textbook p. 186

Question 15

Soalan 1(b) Pada hari itu, Encik Hamid menjual 12 biji tembikai dan 7 biji tembikai susu.Question 1(b) On that day, Encik Hamid sold 12 watermelons and 7 honeydew melons.

[3 marks] Nyatakan nisbah bilangan tembikai kepada bilangan tembikai susu. Dia mendapat RM26.00 daripada 4 biji tembikai. Berapakah jumlah wang yang diterima daripada 12 biji tembikai?State the ratio of the number of watermelons to the number of honeydew melons. He got RM26.00 from 4 watermelons. How much money does he get from the 12 watermelons?

Show answerHide answer

12 : 7 [1]1
Price of 1 watermelon: RM26.00 ÷ 4 = RM6.50 [1]1
12 × RM6.50 = RM78.00 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 7, standard 7.2.1

Textbook p. 219

Question 16

Soalan 1(c) Rajah 6 ialah senarai harga di gerai Encik Hamid.Question 1(c) Diagram 6 is the price list at Encik Hamid's stall.

Price list: mango RM7.90 per kg, papaya RM3.85 per kg, banana RM4.50 per comb, pineapple RM3.20 each — Rajah 6Diagram 6

[3 marks] Puan Wati membeli 4 kg mangga dan 2 kg betik. Dia membayar dengan sekeping wang kertas RM50. Hitung baki wang Puan Wati.Puan Wati buys 4 kg of mangoes and 2 kg of papayas. She pays with a RM50 note. Calculate Puan Wati's balance.

Show answerHide answer

4 × RM7.90 = RM31.60 [1]1
2 × RM3.85 = RM7.70; total RM31.60 + RM7.70 = RM39.30 [1]1
RM50 − RM39.30 = RM10.70 [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 3, standard 3.1.3

Textbook p. 113

Question 17

Soalan 1(d) Encik Hamid membeli 14 400 biji oren. Dia mengisi oren itu ke dalam kotak, 24 biji oren dalam sebuah kotak. Dia menjual 475 buah kotak.Question 1(d) Encik Hamid buys 14 400 oranges. He packs the oranges into boxes, 24 oranges in each box. He sells 475 boxes.

[3 marks] Berapakah bilangan oren yang masih belum dijual?How many oranges are not sold yet?

Show answerHide answer

3 000 oranges

14 400 ÷ 24 = 600 boxes [1]1
600 − 475 = 125 boxes left [1]1
125 × 24 = 3 000 oranges [1]1

Tick each point you got.

For the teacher: Analysing, high difficulty, Unit 1, standard 1.6.4

Textbook p. 37

Question 18

Soalan 2(a) Kelab Alam Sekitar sebuah sekolah membina taman sayur. Rajah 7 ialah pelan petak sayur PQRS dan paip air T pada satah Cartes. Panjang sisi setiap petak ialah 2 m.Question 2(a) The Environment Club of a school builds a vegetable garden. Diagram 7 is the plan of the vegetable plot PQRS and the water tap T on a Cartesian plane. The side of each square is 2 m.

Cartesian plane x 0 to 10, y 0 to 8: rectangle PQRS with P(2, 2), Q(8, 2), R(8, 5), S(2, 5) and tap T at (5, 7); 1 square is 2 m — Rajah 7Diagram 7

[3 marks] Tulis koordinat titik Q, titik S dan titik T.Write the coordinates of point Q, point S and point T.

Show answerHide answer

Q (8, 2) [1]1
S (2, 5) [1]1
T (5, 7) [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, Unit 7, standard 7.1.1

Textbook p. 216

Question 19

Soalan 2(b) Rujuk Rajah 7. Panjang sisi setiap petak ialah 2 m.Question 2(b) Refer to Diagram 7. The side of each square is 2 m.

[3 marks] Hitung perimeter petak sayur PQRS, dalam m.Calculate the perimeter of the vegetable plot PQRS, in m.

Show answerHide answer

PQ = 6 squares × 2 m = 12 m [1]1
QR = 3 squares × 2 m = 6 m [1]1
Perimeter = 2 × (12 + 6) = 36 m [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 6, standard 6.3.1

Textbook p. 205

Question 20

Soalan 2(c) Rajah 8 menunjukkan bilangan anak benih yang ditanam oleh kelab itu.Question 2(c) Diagram 8 shows the number of seedlings planted by the club.

Bar chart of seedlings: chilli 15, brinjal 25, okra 10, tomato 30 — Rajah 8Diagram 8

[3 marks] Anak benih manakah yang paling banyak ditanam? Berapakah bilangan anak benih tomato melebihi bilangan anak benih bendi? Berapakah jumlah semua anak benih yang ditanam?Which seedlings are planted the most? How many more tomato seedlings than okra seedlings are planted? What is the total number of seedlings planted?

Show answerHide answer

Tomato (30 seedlings) [1]1
30 − 10 = 20 more [1]1
15 + 25 + 10 + 30 = 80 seedlings [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 8, standard 8.1.2

Textbook p. 237

Question 21

Soalan 2(d) Sebuah petak bunga berbentuk segi empat sama mempunyai perimeter yang sama dengan petak sayur PQRS dalam Rajah 7.Question 2(d) A flower bed in the shape of a square has the same perimeter as the vegetable plot PQRS in Diagram 7.

[3 marks] Hitung luas petak bunga itu. Berapakah luas petak bunga itu melebihi luas petak sayur PQRS?Calculate the area of the flower bed. By how much is the area of the flower bed more than the area of the vegetable plot PQRS?

Show answerHide answer

Side of the square: 36 m ÷ 4 = 9 m [1]1
Area of the flower bed: 9 × 9 = 81 m² [1]1
Area of PQRS: 12 × 6 = 72 m²; 81 − 72 = 9 m² [1]1

Tick each point you got.

For the teacher: Analysing, high difficulty, Unit 6, standard 6.3.2

Textbook p. 206

Test specification (JSU)

Unit	Remembering	Understanding	Applying	Analysing	Evaluating	Creating	Items	marks
1. Numbers and Operations	–	–	1 (1)	1 (3)	–	–	2	4
2. Fractions, Decimals and Percentages	–	–	2 (4)	–	–	–	2	4
3. Money	–	–	2 (6)	–	–	–	2	6
4. Time	–	–	1 (2)	–	–	–	1	2
5. Length, Mass and Volume of Liquid	–	–	4 (10)	–	–	–	4	10
6. Space	–	1 (2)	2 (5)	1 (3)	–	–	4	10
7. Coordinates, Ratio and Proportion	3 (6)	–	1 (3)	–	–	–	4	9
8. Data Handling	–	–	2 (5)	–	–	–	2	5
Total	3 (6)	1 (2)	15 (36)	2 (6)	0 (0)	0 (0)	21	50

Each cell shows items (marks).