Practice paper, not an official KPM paper

Matematik Tahun 3

Ujian Akhir Sesi AkademikEnd of Academic Session Test

MatematikMathematics

Darjah 3, 1 jam / 1 hour, 40 marks

Nama / Name

Kelas / Class

Tarikh / Date

Markah / Marks: / 40

Instructions

Jawab semua soalan.Answer all questions.
Bahagian 1: bulatkan jawapan yang betul.Section 1: circle the correct answer.
Bahagian 2: tulis jawapan dan tunjukkan jalan kerja.Section 2: write the answer and show your working.

Answer schemes are in English (DLP).

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

Bahagian 1Section 1

15 marks

Baca soalan dan bulatkan jawapan yang betul.Read the question and circle the correct answer.

Question 1

Dalam nombor 7 305, apakah nilai digit 3?In the number 7 305, what is the value of the digit 3?

3
30
300
3 000

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The digit 3 is in the hundreds place, so its value is 3 × 100 = 300. A is the digit itself, B is the tens place and D is the thousands place (the thousands digit is 7).

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

Textbook p. 8

Question 2

Lengkapkan pola nombor berikut.
2 350, 2 650, 2 950, ______Complete the number pattern.
2 350, 2 650, 2 950, ______

3 150
3 250
3 350
3 550

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2 650 − 2 350 = 300 and 2 950 − 2 650 = 300, so the pattern goes up by 300. 2 950 + 300 = 3 250. A adds 200 and C adds 400.

For the teacher: Applying, medium difficulty, Unit 1, standard 1.7.2

Textbook p. 21

Question 3

Sebuah ladang ada 3 674 ekor ayam dan 2 859 ekor itik. Berapakah jumlah ayam dan itik di ladang itu?A farm has 3 674 chickens and 2 859 ducks. How many chickens and ducks are there on the farm altogether?

6 433 ekor6 433 birds
5 533 ekor5 533 birds
6 523 ekor6 523 birds
6 533 ekor6 533 birds

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3 674 + 2 859 = 6 533 (regroup in the ones, tens and hundreds: 4 + 9 = 13, 7 + 5 + 1 = 13, 6 + 8 + 1 = 15, 3 + 2 + 1 = 6). A forgets the 1 regrouped from the tens, B forgets the 1 regrouped from the hundreds and C forgets the 1 regrouped from the ones.

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

Textbook p. 36

Question 4

Sebuah kilang menghasilkan 468 batang pensel setiap hari. Berapakah bilangan pensel yang dihasilkan dalam 7 hari?A factory makes 468 pencils every day. How many pencils does it make in 7 days?

2 876 batang2 876 pencils
3 276 batang3 276 pencils
3 296 batang3 296 pencils
3 726 batang3 726 pencils

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7 × 468 = 3 276 (7 × 8 = 56, write 6 and carry 5; 7 × 6 = 42, 42 + 5 = 47, write 7 and carry 4; 7 × 4 = 28, 28 + 4 = 32). A forgets the carried 4 in the hundreds.

For the teacher: Applying, medium difficulty, Unit 2, standard 2.3.1

Textbook p. 62

Question 5

Pecahan manakah setara dengan 35?Which fraction is equivalent to 35?

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Multiply the numerator and the denominator by the same number: 3 × 2 = 6 and 5 × 2 = 10, so 3/5 = 6/10. B adds 3 to both numbers, C turns the fraction upside down and D changes only the denominator.

For the teacher: Understanding, low difficulty, Unit 3, standard 3.1.2

Textbook p. 84

Question 6

Seutas pita biru panjangnya 4.65 m. Seutas pita merah panjangnya 2.78 m. Berapakah jumlah panjang kedua-dua pita itu?A blue ribbon is 4.65 m long. A red ribbon is 2.78 m long. What is the total length of the two ribbons?

6.43 m
7.33 m
7.43 m
6.33 m

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Line up the decimal points: 4.65 + 2.78 = 7.43 (5 + 8 = 13 hundredths, write 3 and carry 1; 6 + 7 + 1 = 14 tenths, write 4 and carry 1; 4 + 2 + 1 = 7). B forgets the carry from the hundredths (7.33), A forgets the carry from the tenths (6.43) and D forgets both carries (6.33).

For the teacher: Applying, medium difficulty, Unit 3, standard 3.2.4

Textbook p. 101

Question 7

Hana ada RM85.00. Dia membeli sehelai baju dengan harga RM47.60. Berapakah baki wang Hana?Hana has RM85.00. She buys a shirt for RM47.60. How much money does Hana have left?

RM37.40
RM38.40
RM42.60
RM132.60

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RM85.00 − RM47.60 = RM37.40 (RM85.00 − RM47 = RM38.00, then take away 60 sen: RM38.00 − RM0.60 = RM37.40). B makes a regrouping slip and D adds the two amounts.

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

Textbook p. 5

Question 8

Empat orang kawan berkongsi bil makanan sebanyak RM94.80 dengan sama banyak. Berapakah bayaran setiap orang?Four friends share a meal bill of RM94.80 equally. How much does each friend pay?

RM23.07
RM21.70
RM27.80
RM23.70

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RM94.80 ÷ 4 = RM23.70 (check: 4 × RM23.70 = RM94.80). A puts the 7 in the wrong decimal place (RM23.07 is only a little more than RM23).

For the teacher: Applying, low difficulty, Unit 4, standard 4.5.1

Textbook p. 12

Question 9

Majlis Anugerah Cemerlang bermula pada pukul 9:30 pagi dan tamat pada pukul 11:10 pagi. Berapa lamakah majlis itu berlangsung?The Excellence Awards ceremony starts at 9:30 a.m. and ends at 11:10 a.m. How long does the ceremony last?

1 jam 20 minit1 hour 20 minutes
2 jam 20 minit2 hours 20 minutes
1 jam 40 minit1 hour 40 minutes
2 jam 40 minit2 hours 40 minutes

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From 9:30 to 10:00 is 30 minutes, from 10:00 to 11:00 is 1 hour and from 11:00 to 11:10 is 10 minutes: 1 hour + 30 minutes + 10 minutes = 1 hour 40 minutes. B takes 11 − 9 = 2 hours and 30 − 10 = 20 minutes the wrong way round.

For the teacher: Applying, medium difficulty, Unit 5, standard 5.5.1

Textbook p. 37

Question 10

Tukarkan 205 minit kepada jam dan minit.Change 205 minutes to hours and minutes.

2 jam 5 minit2 hours 5 minutes
3 jam 25 minit3 hours 25 minutes
3 jam 45 minit3 hours 45 minutes
3 jam 5 minit3 hours 5 minutes

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1 hour = 60 minutes. 3 × 60 = 180 and 4 × 60 = 240, so 205 minutes is 3 hours and 205 − 180 = 25 minutes. A uses 100 minutes in an hour.

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

Textbook p. 33

Question 11

Panjang tali P ialah 2 m 60 cm dan panjang tali Q ialah 1 m 85 cm. Kedua-dua tali itu disambung. Berapakah panjang tali yang telah disambung itu?Rope P is 2 m 60 cm long and rope Q is 1 m 85 cm long. The two ropes are tied together. What is the total length of the rope?

4 m 45 cm
3 m 45 cm
4 m 25 cm
5 m 45 cm

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60 cm + 85 cm = 145 cm = 1 m 45 cm. 2 m + 1 m + 1 m = 4 m. The total is 4 m 45 cm (or 260 cm + 185 cm = 445 cm). B forgets to regroup 100 cm as 1 m.

For the teacher: Applying, low difficulty, Unit 6, standard 6.1.2

Textbook p. 52

Question 12

Sebuah jag mengandungi 3 ℓ 400 mℓ air. Ali menuang keluar 1 ℓ 900 mℓ air itu. Kemudian, dia menambah 750 mℓ air ke dalam jag itu. Berapakah isi padu air di dalam jag sekarang?A jug has 3 ℓ 400 mℓ of water. Ali pours out 1 ℓ 900 mℓ of the water. Then he adds 750 mℓ of water to the jug. What is the volume of water in the jug now?

1 ℓ 500 mℓ
4 ℓ 150 mℓ
6 ℓ 50 mℓ
2 ℓ 250 mℓ

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3 400 mℓ − 1 900 mℓ = 1 500 mℓ, then 1 500 mℓ + 750 mℓ = 2 250 mℓ = 2 ℓ 250 mℓ. A forgets to add the 750 mℓ, B forgets to pour out the 1 ℓ 900 mℓ and C adds all three volumes.

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

Textbook p. 73

Question 13

Rajah 1 menunjukkan sebuah prisma segi tiga. Berapakah bilangan tepi prisma itu?Diagram 1 shows a triangular prism. How many edges does the prism have?

A triangular prism: a triangle at the front, a triangle at the back and three edges joining them; the three edges at the hidden corner are dashed — Rajah 1Diagram 1

5 tepi5 edges
6 tepi6 edges
9 tepi9 edges
12 tepi12 edges

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3 edges on the front triangle + 3 edges on the back triangle + 3 edges joining them = 9 edges. Do not forget the dashed edges at the back. A is the number of flat surfaces, B is the number of vertices and D is the number of edges of a cuboid.

For the teacher: Remembering, low difficulty, Unit 7, standard 7.1.2

Textbook p. 86

Question 14

Rajah 2 menunjukkan tempat duduk murid dalam sebuah kelas. Siapakah yang duduk 2 petak ke timur dan 1 petak ke utara dari Hana?Diagram 2 shows where the pupils sit in a classroom. Who sits 2 squares to the east and 1 square to the north of Hana?

Seating grid, columns A to E and rows 1 to 4: Ravi A1, Lina C1, Zara E1, Hana B2, Amir D2, Dina A3, Siti D3, Kumar C4; a compass shows north up and east to the right — Rajah 2Diagram 2

Amir
Siti
Kumar
Lina

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Hana sits at B2. East is to the right: 2 squares to the east is D2. North is up: 1 square to the north is D3. Siti sits at D3. Amir is only 2 squares east, Kumar is 1 east and 2 north, and Lina is 1 east and 1 south.

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

Textbook p. 97

Question 15

Rajah 3 ialah jadual tanda palang tentang kuih kegemaran murid sebuah kelas. Setiap murid memilih satu jenis kuih sahaja. Berapakah bilangan murid dalam kelas itu?Diagram 3 is a tally table of the favourite kuih of the pupils in a class. Each pupil chooses only one kind of kuih. How many pupils are in the class?

Tally table: layer cake 7 (one group of five and 2), curry puff 12 (two groups of five and 2), onde-onde 5 (one group of five), seri muka 9 (one group of five and 4) — Rajah 3Diagram 3

33 orang33 pupils
28 orang28 pupils
31 orang31 pupils
37 orang37 pupils

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Each group of 5 (four sticks and a gate) is 5. Layer cake 5 + 2 = 7, curry puff 5 + 5 + 2 = 12, onde-onde 5, seri muka 5 + 4 = 9. 7 + 12 + 5 + 9 = 33 pupils. B counts every group of five as 4.

For the teacher: Applying, low difficulty, Unit 9, standard 9.1.1

Textbook p. 108

Bahagian 2Section 2

25 marks

Baca soalan dan tulis jawapan yang betul dengan jelas di ruang yang disediakan. Tunjukkan jalan kerja.Read the question and write the correct answer clearly in the space provided. Show your working.

Question 16

Rajah 4 menunjukkan bilangan pengunjung di tiga buah taman rekreasi pada bulan Disember.Diagram 4 shows the number of visitors at three recreation parks in December.

Three signboards: Taman Tasik 7 064, Taman Bunga 7 604, Taman Rimba 7 046 — Rajah 4Diagram 4

[1 mark] (a)Taman manakah mempunyai pengunjung paling ramai?Which park has the most visitors?

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Taman Bunga (Flower Park): 7 604 is the greatest number [1]1

Tick each point you got.

[1 mark] (b)Susun bilangan pengunjung itu mengikut tertib menaik.Arrange the numbers of visitors in ascending order.

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7 046, 7 064, 7 604 (from the smallest to the greatest) [1]1

Tick each point you got.

[1 mark] (c)Bundarkan bilangan pengunjung yang paling sedikit kepada ratus terdekat.Round off the smallest number of visitors to the nearest hundred.

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The smallest number is 7 046. The tens digit is 4 (less than 5), so it rounds down to 7 000 [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, Unit 1, standard 1.3.1, 1.6.1

Textbook p. 10

Question 17

Aiman ada beberapa biji guli. Dia membeli 1 275 biji guli lagi. Sekarang, Aiman ada 4 000 biji guli.Aiman has some marbles. He buys 1 275 more marbles. Now Aiman has 4 000 marbles.

[1 mark] (a)Tulis ayat matematik bagi cerita itu. Gunakan ▲ bagi bilangan guli Aiman pada mulanya.Write a number sentence for the story. Use ▲ for the number of marbles Aiman had at first.

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▲ + 1 275 = 4 000 [1]1

Tick each point you got.

[2 marks] (b)Hitung nilai ▲.Find the value of ▲.

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4 000 − 1 275 = 2 725 marbles (check: 2 725 + 1 275 = 4 000)

▲ = 4 000 − 1 275 [1]1
= 2 725 marbles [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 2, standard 2.6.2

Textbook p. 58

Question 18

Rajah 5 menunjukkan dua jalur yang sama panjang. Jalur 1 dibahagikan kepada 8 bahagian yang sama besar. Jalur 2 dibahagikan kepada 4 bahagian yang sama besar.Diagram 5 shows two bars of the same length. Bar 1 is divided into 8 equal parts. Bar 2 is divided into 4 equal parts.

Bar 1 has 8 equal parts with the first 6 shaded; bar 2 has 4 equal parts with the first 3 shaded; both bars have the same length — Rajah 5Diagram 5

[1 mark] (a)Tulis pecahan bahagian yang berlorek bagi Jalur 1.Write the fraction of the shaded part of Bar 1.

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6 parts out of 8 equal parts = 68 [1]1

Tick each point you got.

[1 mark] (b)Tulis pecahan di (a) dalam bentuk termudah.Write the fraction in (a) in its simplest form.

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6 ÷ 2 = 3 and 8 ÷ 2 = 4, so 68 = 34 (the same as the shaded part of Bar 2) [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, Unit 3, standard 3.1.3

Textbook p. 85

Question 19

Rajah 6 menunjukkan harga tiga jenis mainan di sebuah kedai.Diagram 6 shows the prices of three toys in a shop.

Toy car RM18.90, jigsaw puzzle RM26.50, football RM34.80 — Rajah 6Diagram 6

[1 mark] (a)Mira membeli sebuah kereta mainan dan sebuah teka-teki. Berapakah jumlah harganya?Mira buys a toy car and a jigsaw puzzle. What is the total price?

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RM18.90 + RM26.50 = RM45.40 [1]1

Tick each point you got.

[1 mark] (b)Berapakah beza harga antara sebiji bola sepak dengan sebuah teka-teki?What is the difference in price between a football and a jigsaw puzzle?

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RM34.80 − RM26.50 = RM8.30 [1]1

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[1 mark] (c)Hafiz membeli 2 buah teka-teki. Berapakah harga yang perlu dibayarnya?Hafiz buys 2 jigsaw puzzles. How much must he pay?

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2 × RM26.50 = RM53.00 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 4, standard 4.8.2

Textbook p. 21

Question 20

Rajah 7 menunjukkan atur cara Hari Sukan sebuah sekolah.Diagram 7 shows the programme of a school's Sports Day.

Programme: assembly 8:00 a.m., track events 8:30 a.m., break 10:15 a.m., field events 10:45 a.m., end 11:30 a.m. — Rajah 7Diagram 7

[1 mark] (a)Berapa lamakah acara balapan berlangsung? Beri jawapan dalam jam dan minit.How long do the track events last? Give your answer in hours and minutes.

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8:30 a.m. to 10:15 a.m.: 1 hour 45 minutes [1]1

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[1 mark] (b)Berapa minitkah waktu rehat?How many minutes is the break?

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10:15 a.m. to 10:45 a.m.: 30 minutes [1]1

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For the teacher: Applying, low difficulty, Unit 5, standard 5.5.1

Textbook p. 37

Question 21

Rajah 8 menunjukkan tiga bungkus gula. Jisim setiap bungkus gula itu sama. Mak menggunakan 1 kg 800 g gula untuk membuat kuih.Diagram 8 shows three packets of sugar. Every packet has the same mass. Mother uses 1 kg 800 g of the sugar to make kuih.

Three packets of sugar, each labelled 1 kg 250 g — Rajah 8Diagram 8

[1 mark] (a)Berapakah jumlah jisim tiga bungkus gula itu?What is the total mass of the three packets of sugar?

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3 × 1 kg 250 g = 3 kg 750 g (3 × 1 250 g = 3 750 g) [1]1

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[2 marks] (b)Berapakah jisim gula yang tinggal? Beri jawapan dalam kg dan g.What is the mass of the sugar that is left? Give your answer in kg and g.

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3 750 g − 1 800 g = 1 950 g = 1 kg 950 g

3 kg 750 g − 1 kg 800 g (or 3 750 g − 1 800 g) [1]1
= 1 kg 950 g [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 6, standard 6.2.3

Textbook p. 65

Question 22

Rajah 9 menunjukkan tiga bentuk, P, Q dan R. Sebuah garis putus-putus dilukis pada setiap bentuk.Diagram 9 shows three shapes, P, Q and R. A dashed line is drawn on each shape.

P is a rectangle with its diagonal dashed, Q is a rectangle with a dashed line across the middle, R is a parallelogram with a dashed line across the middle — Rajah 9Diagram 9

[1 mark] (a)Garis putus-putus pada bentuk manakah ialah paksi simetri?On which shape is the dashed line an axis of symmetry?

APBQCR

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Fold Q along the dashed line and the two parts fit exactly on top of each other. The diagonal of the rectangle (P) and the line across the parallelogram (R) make two parts of the same size, but the parts do not overlap exactly when folded.

[1 mark] (b)Berapakah bilangan paksi simetri bagi bentuk Q?How many axes of symmetry does shape Q have?

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2 axes of symmetry: one across the middle and one down the middle of the rectangle [1]1

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For the teacher: Understanding, low difficulty, Unit 7, standard 7.4.1

Textbook p. 92

Question 23

Rajah 10 menunjukkan peta sebuah zoo pada grid.Diagram 10 shows a map of a zoo on a grid.

Zoo grid, columns A to E and rows 1 to 4: monkey A4, elephant B3, lion D3, panda C2, giraffe E1; a compass shows north up, east to the right and west to the left — Rajah 10Diagram 10

[1 mark] (a)Nyatakan lokasi zirafah.State the location of the giraffe.

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E1 (column E, row 1) [1]1

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[1 mark] (b)Haiwan manakah berada 2 petak ke barat singa?Which animal is 2 squares to the west of the lion?

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The lion is at D3. West is to the left: 2 squares to the west is B3, the elephant (gajah) [1]1

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For the teacher: Applying, medium difficulty, Unit 8, standard 8.1.3, 8.2.1

Textbook p. 103

Question 24

Carta pai dalam Rajah 11 menunjukkan sukan kegemaran murid kelas 3 Dinamik. Nombor pada setiap bahagian ialah bilangan murid.The pie chart in Diagram 11 shows the favourite sports of the pupils in class 3 Dinamik. The number in each part is the number of pupils.

Pie chart of favourite sports: football 14, badminton 10, swimming 8, sepak takraw 4 — Rajah 11Diagram 11

[1 mark] (a)Berapakah bilangan murid yang memilih badminton dan renang?How many pupils chose badminton and swimming?

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10 + 8 = 18 pupils [1]1

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[1 mark] (b)Berapa orang lebih ramai murid yang memilih bola sepak berbanding renang?How many more pupils chose football than swimming?

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14 − 8 = 6 pupils [1]1

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For the teacher: Understanding, low difficulty, Unit 9, standard 9.2.1

Textbook p. 109

Question 25

Cikgu Wati ada sehelai pita. Dia menggunakan 25 daripada pita itu untuk membuat bunga dan 310 daripada pita itu untuk membuat reben.Cikgu Wati has a piece of ribbon. She uses 25 of the ribbon to make a flower and 310 of the ribbon to make a bow.

[2 marks] (a)Berapakah pecahan pita yang digunakan oleh Cikgu Wati kesemuanya?What fraction of the ribbon does Cikgu Wati use altogether?

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25 + 310 = 410 + 310 = 710

Make the denominators the same: 25 = 410 [1]1
410 + 310 = 710 [1]1

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[1 mark] (b)Berapakah pecahan pita yang tinggal?What fraction of the ribbon is left?

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1 − 710 = 1010 − 710 = 310 [1] (follow through from (a))1

Tick each point you got.

For the teacher: Analysing, high difficulty, Unit 3, standard 3.1.5, 3.1.6

Textbook p. 90

Test specification (JSU)

Unit	Remembering	Understanding	Applying	Analysing	Evaluating	Creating	Items	marks
1. Numbers up to 10 000	–	2 (4)	1 (1)	–	–	–	3	5
2. Addition, Subtraction, Multiplication and Division	–	–	3 (5)	–	–	–	3	5
3. Fractions, Decimals and Percentages	–	2 (3)	1 (1)	1 (3)	–	–	4	7
4. Money	–	–	3 (5)	–	–	–	3	5
5. Time	–	1 (1)	2 (3)	–	–	–	3	4
6. Length, Mass and Volume of Liquid	–	–	2 (4)	1 (1)	–	–	3	5
7. Shapes	1 (1)	1 (2)	–	–	–	–	2	3
8. Location	–	1 (1)	1 (2)	–	–	–	2	3
9. Data	–	1 (2)	1 (1)	–	–	–	2	3
Total	1 (1)	8 (13)	14 (22)	2 (4)	0 (0)	0 (0)	25	40

Each cell shows items (marks).