Practice paper, not an official KPM paper

Matematik Tahun 5

Ujian Akhir Sesi AkademikEnd of Academic Session Test

MatematikMathematics

Darjah 5, 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. Ini boleh membantu anda mendapatkan markah.Write the answer and show the important steps. This can help you to get marks.
Bahagian A: 26 markah. Bahagian B: 24 markah.Section A: 26 marks. Section B: 24 marks.
Rajah yang mengiringi soalan tidak dilukis mengikut skala kecuali dinyatakan.The diagrams accompanying the questions are not drawn to scale unless stated.

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

[1 mark] Nyatakan nilai digit bagi digit 8 dalam 485 362.State the digit value of the digit 8 in 485 362.

Show answerHide answer

The 8 is in the ten thousands place, so its digit value is 80 000.

80 000 [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, Unit 1, standard 1.1.2

Textbook p. 5

Question 2

[1 mark] Nyatakan nombor bulat yang paling kecil yang menjadi 310 000 apabila dibundarkan kepada puluh ribu yang terdekat.State the smallest whole number that becomes 310 000 when rounded off to the nearest ten thousand.

Show answerHide answer

Every number from 305 000 to 314 999 rounds to 310 000. 304 999 rounds down to 300 000, so the smallest is 305 000.

305 000 [1]1

Tick each point you got.

For the teacher: Analysing, high difficulty, Unit 1, standard 1.4.1

Textbook p. 17

Question 3

[2 marks] 91 368 ÷ 8 =

Show answerHide answer

91 368 ÷ 8 = 11 421 (check: 11 421 × 8 = 91 368)

Working: long division of 91 368 by 8 [1]1
11 421 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 1, standard 1.6.4

Textbook p. 36

Question 4

[2 marks] 49 × 1516 = Beri jawapan dalam bentuk yang termudah.49 × 1516 = Give the answer in its simplest form.

Show answerHide answer

49 × 1516 = 60144 = 512 (dividing top and bottom by 12)

Multiply (or cancel first): 49 × 1516 = 60144 [1]1
Simplest form: 512 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 2, standard 2.1.1

Textbook p. 67

Question 5

[2 marks] 8.04 − 3.7 + 1.58 =

Show answerHide answer

8.04 − 3.7 = 4.34 (decimal points in line) [1]1
4.34 + 1.58 = 5.92 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 2, standard 2.2.2

Textbook p. 74

Question 6

[2 marks] 17.5% daripada 480 =17.5% of 480 =

Show answerHide answer

48 + 24 + 12 = 84

17.5 ÷ 100 × 480 (or 10% = 48, 5% = 24, 2.5% = 12) [1]1
84 [1]1

Tick each point you got.

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

Textbook p. 82

Question 7

[2 marks] RM426 305.60 − RM87 954.85 =

Show answerHide answer

RM426 305.60 − RM87 954.85 = RM338 350.75 (check: RM338 350.75 + RM87 954.85 = RM426 305.60)

Subtraction set out with the decimal points in line, regrouping in the sen and ringgit columns [1]1
RM338 350.75 [1]1

Tick each point you got.

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

Textbook p. 93

Question 8

[2 marks] 2 56 tahun + 14 bulan = ______ bulan2 56 years + 14 months = ______ months

Show answerHide answer

2 56 years = 2 × 12 + 56 × 12 = 24 + 10 = 34 months [1]1
34 + 14 = 48 months [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 4, standard 4.3.1 (iii)

Textbook p. 145

Question 9

[2 marks] 2 350 g + 1.8 kg + 3 kg 275 g = ______ kg ______ g

Show answerHide answer

Same unit: 2 350 g + 1 800 g + 3 275 g = 7 425 g (or 2.35 + 1.8 + 3.275 = 7.425 kg) [1]1
7 kg 425 g [1]1

Tick each point you got.

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

Textbook p. 191

Question 10

[2 marks] 45 × 380 mℓ = ______ ℓ

Show answerHide answer

45 × 380 = 17 100 mℓ [1]1
17 100 mℓ = 17.1 ℓ (17 ℓ 100 mℓ is also accepted) [1]1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 5, standard 5.3.4

Textbook p. 205

Question 11

Rajah 1 menunjukkan bilangan buku yang dipinjam oleh 7 orang murid dalam seminggu.Diagram 1 shows the number of books borrowed by 7 pupils in a week.

Data set: 41, 17, 64, 28, 53, 36, 49 — Rajah 1Diagram 1

[2 marks] Apakah julat bagi set data itu?What is the range of the data set?

Show answerHide answer

Highest 64 and lowest 17 [1]1
Range = 64 − 17 = 47 [1]1

Tick each point you got.

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

Textbook p. 254

Question 12

Rajah 2 menunjukkan jarak perjalanan dari Kota Sinar ke Bandar Laut. Sebuah van menggunakan 14 ℓ petrol untuk perjalanan itu.Diagram 2 shows the distance of the journey from Kota Sinar to Bandar Laut. A van uses 14 ℓ of petrol for the journey.

A route bar from Kota Sinar to Bandar Laut labelled 168 km — Rajah 2Diagram 2

[3 marks] Berapakah jarak, dalam km, yang dapat dilalui oleh van itu dengan menggunakan 22 ℓ petrol? Van itu menggunakan petrol pada kadar yang sama.What distance, in km, can the van travel using 22 ℓ of petrol? The van uses petrol at the same rate.

Show answerHide answer

168 ÷ 14 = 12 km for 1 ℓ [1]1
22 × 12 [1]1
264 km [1]1

Tick each point you got.

For the teacher: Analysing, high difficulty, Unit 7, standard 7.4.1

Textbook p. 246

Question 13

Rajah 3 menunjukkan gabungan sebuah kubus dan sebuah kuboid. Kuboid itu bercantum dengan satu muka kubus dan lebarnya sama dengan sisi kubus.Diagram 3 shows the combination of a cube and a cuboid. The cuboid is joined to one face of the cube and its breadth is the same as the edge of the cube.

A cube with edges 6 cm joined on its right to a cuboid that is 9 cm long and 3 cm high — Rajah 3Diagram 3

[3 marks] Hitung isi padu, dalam cm³, gabungan bentuk itu.Calculate the volume, in cm³, of the combined shape.

Show answerHide answer

Cube: 6 × 6 × 6 = 216 cm³ [1]1
Cuboid: 9 × 6 × 3 = 162 cm³ (its breadth is 6 cm) [1]1
216 + 162 = 378 cm³ [1]1

Tick each point you got.

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

Textbook p. 226

Bahagian BSection B

24 marks

Jawab semua soalan.Answer all questions.

Question 14

Rajah 4 menunjukkan isi padu sirap di dalam sebuah baldi di kantin sekolah. Puan Rohani menuang sirap itu sama banyak ke dalam 9 biji botol yang sama.Diagram 4 shows the volume of syrup in a bucket at the school canteen. Puan Rohani pours the syrup equally into 9 identical bottles.

A bucket holding 7 ℓ 200 mℓ of syrup — Rajah 4Diagram 4

[3 marks] Hitung jumlah isi padu, dalam mℓ, sirap di dalam 4 biji botol itu.Calculate the total volume, in mℓ, of the syrup in 4 of the bottles.

Show answerHide answer

7 ℓ 200 mℓ = 7 200 mℓ [1]1
7 200 ÷ 9 = 800 mℓ in one bottle [1]1
4 × 800 = 3 200 mℓ [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 5, standard 5.3.5

Textbook p. 207

Question 15

Rajah 5 menunjukkan kedudukan empat orang murid, Adib, Bella, Chong dan Devi, di kantin sekolah pada satah Cartes. Titik O ialah pintu kantin.Diagram 5 shows the positions of four pupils, Adib, Bella, Chong and Devi, in the school canteen on a Cartesian plane. Point O is the door of the canteen.

Cartesian plane, x from 0 to 10 and y from 0 to 8, with Adib at (4, 5), Bella at (7, 2), Chong at (1, 7) and Devi at (9, 5) — Rajah 5Diagram 5

[1 mark] (a)Nyatakan koordinat Devi.State the coordinates of Devi.

Show answerHide answer

(9, 5) [1]1

Tick each point you got.

[2 marks] (b)Dua orang murid berada pada jarak mengufuk yang sama dari Adib. Namakan dua orang murid itu.Two pupils are at the same horizontal distance from Adib. Name the two pupils.

Show answerHide answer

Horizontal distances from Adib (x = 4): Bella 7 − 4 = 3, Chong 4 − 1 = 3, Devi 9 − 4 = 5 [1]1
Bella and Chong [1]1

Tick each point you got.

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

Textbook p. 236

Question 16

Rajah 6 menunjukkan perbualan antara Puan Aini dan Hafiz di koperasi sekolah.Diagram 6 shows the conversation between Puan Aini and Hafiz at the school co-operative shop.

Puan Aini says a pack of 12 erasers costs RM8.40. Hafiz says he buys 7 erasers and a ruler that costs RM1.80 and pays with RM10 — Rajah 6Diagram 6

[1 mark] (a)Berapakah harga sebatang pemadam?What is the price of one eraser?

Show answerHide answer

RM8.40 ÷ 12 = RM0.70 [1]1

Tick each point you got.

[1 mark] (b)Berapakah jumlah harga yang perlu dibayar oleh Hafiz?How much must Hafiz pay in total?

Show answerHide answer

7 × RM0.70 + RM1.80 = RM4.90 + RM1.80 = RM6.70 [1] (follow through from (a))1

Tick each point you got.

[1 mark] (c)Berapakah baki wang Hafiz?How much is Hafiz's change?

Show answerHide answer

RM10 − RM6.70 = RM3.30 [1] (follow through from (b))1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 3, standard 3.2.1

Textbook p. 99

Question 17

Rajah 7 menunjukkan sebuah segi empat sama P dan sebuah oktagon sekata Q yang bercantum pada satu sisi. Perimeter segi empat sama P ialah 36 cm.Diagram 7 shows a square P and a regular octagon Q joined along one side. The perimeter of square P is 36 cm.

A square P with a regular octagon Q sitting on its top side — Rajah 7Diagram 7

[3 marks] Hitung perimeter, dalam cm, gabungan bentuk itu.Calculate the perimeter, in cm, of the combined shape.

Show answerHide answer

Side of P = 36 ÷ 4 = 9 cm [1]1
Outer sides: 3 (square) + 7 (octagon) = 10 sides, the shared side is not counted [1]1
10 × 9 = 90 cm [1]1

Tick each point you got.

For the teacher: Analysing, high difficulty, Unit 6, standard 6.3.1

Textbook p. 221

Question 18

Sempena Hari Sukan, Zikri membeli sehelai jersi dan sepasang kasut bola. Rajah 8 menunjukkan harga barang itu. Selepas membeli kedua-dua barang itu, Zikri masih ada RM38.For Sports Day, Zikri buys a jersey and a pair of football boots. Diagram 8 shows the prices of the items. After buying both items, Zikri still has RM38.

Price tags: jersey RM64; football boots RM59 more than the jersey — Rajah 8Diagram 8

[1 mark] (a)Berapakah harga sepasang kasut bola itu?What is the price of the pair of football boots?

Show answerHide answer

RM64 + RM59 = RM123 [1]1

Tick each point you got.

[2 marks] (b)Berapakah jumlah wang Zikri pada mulanya?How much money did Zikri have at first?

Show answerHide answer

RM64 + RM123 = RM187 spent [1]1
RM187 + RM38 = RM225 [1] (follow through from (a))1

Tick each point you got.

For the teacher: Applying, medium difficulty, Unit 1, standard 1.9.2

Textbook p. 51

Question 19

Pada pagi Hari Sukan, sekumpulan sukarelawan memasang 7 buah khemah dalam 56 minit. Mereka bekerja pada kadar yang tetap.On the morning of Sports Day, a group of volunteers puts up 7 tents in 56 minutes. They work at a steady rate.

[3 marks] Berapa lamakah, dalam jam dan minit, mereka memerlukan untuk memasang 18 buah khemah?How long, in hours and minutes, do they need to put up 18 tents?

Show answerHide answer

56 ÷ 7 = 8 minutes for 1 tent [1]1
18 × 8 = 144 minutes [1]1
144 minutes = 2 hours 24 minutes [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, Unit 4, standard 4.4.1

Textbook p. 166

Question 20

Rajah 9 menunjukkan panjang tiga utas tali, P, Q dan R, yang disediakan untuk Hari Sukan.Diagram 9 shows the lengths of three ropes, P, Q and R, prepared for Sports Day.

Three ropes: P is 1.6 m, Q is 75 cm, R is 1 m 25 cm — Rajah 9Diagram 9

[1 mark] (a)Hitung jumlah panjang, dalam cm, ketiga-tiga utas tali itu.Calculate the total length, in cm, of the three ropes.

Show answerHide answer

160 + 75 + 125 = 360 cm [1]1

Tick each point you got.

[2 marks] (b)Cikgu Wong menggunakan 35% daripada jumlah panjang tali itu untuk menanda trek. Berapakah panjang tali, dalam cm, yang tinggal?Cikgu Wong uses 35% of the total length of the ropes to mark the track. What length of rope, in cm, is left?

Show answerHide answer

35% of 360 = 126 cm (or 65% of 360) [1]1
360 − 126 = 234 cm [1] (follow through from (a))1

Tick each point you got.

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

Textbook p. 83

Question 21

Piktograf dalam Rajah 10 menunjukkan bilangan murid empat buah rumah sukan yang menyertai acara lompat jauh.The pictograph in Diagram 10 shows the number of pupils from four sports houses who took part in the long jump.

Pictograph, each symbol stands for 2 pupils: Merah 7 symbols, Biru 4, Hijau 5, Kuning 8 — Rajah 10Diagram 10

[1 mark] (a)Berapakah bilangan murid Rumah Kuning lebih banyak daripada murid Rumah Biru?How many more pupils from Kuning House than from Biru House?

Show answerHide answer

(8 − 4) × 2 = 8 pupils (or 16 − 8) [1]1

Tick each point you got.

[1 mark] (b)Hitung jumlah murid yang menyertai acara itu.Calculate the total number of pupils who took part in the event.

Show answerHide answer

(7 + 4 + 5 + 8) × 2 = 24 × 2 = 48 pupils [1]1

Tick each point you got.

[1 mark] (c)Hitung min bilangan murid bagi satu rumah.Calculate the mean number of pupils for one house.

Show answerHide answer

48 ÷ 4 = 12 pupils [1] (follow through from (b))1

Tick each point you got.

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

Textbook p. 255

Test specification (JSU)

Unit	Remembering	Understanding	Applying	Analysing	Evaluating	Creating	Items	marks
1. Whole Numbers and Operations	1 (1)	–	2 (5)	1 (1)	–	–	4	7
2. Fractions, Decimals and Percentages	–	–	4 (9)	–	–	–	4	9
3. Money	–	–	2 (5)	–	–	–	2	5
4. Time	–	–	2 (5)	–	–	–	2	5
5. Length, Mass and Volume of Liquid	–	–	3 (7)	–	–	–	3	7
6. Space	–	–	1 (3)	1 (3)	–	–	2	6
7. Coordinates, Ratio and Proportion	–	–	1 (3)	1 (3)	–	–	2	6
8. Data Handling	–	1 (2)	1 (3)	–	–	–	2	5
Total	1 (1)	1 (2)	16 (40)	3 (7)	0 (0)	0 (0)	21	50

Each cell shows items (marks).