MatematikMathematics

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1

Question 1

Rajah 1 menunjukkan empat keping kad nombor.Diagram 1 shows four number cards.

[1 mark] Nyatakan nombor yang paling besar.State the greatest number.

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• 482 705 [1] (compare the ten thousands, thousands, then the hundreds: 7 hundreds is more than 5 hundreds)1

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

Textbook p. 8

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Question 2

[1 mark] Tulis satu nombor yang apabila dibundarkan kepada ribu yang terdekat ialah 56 000 dan digit di tempat ratusnya ialah 4.Write one number which becomes 56 000 when rounded off to the nearest thousand and has the digit 4 in the hundreds place.

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• Any number from 56 400 to 56 499, for example 56 450 [1] (55 500 to 56 499 round to 56 000; only 56 400 to 56 499 have 4 in the hundreds place)1

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

Textbook p. 16

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Question 3

[2 marks] Sebuah syarikat bas menjual 4 285 keping tiket setiap hari. Hitung bilangan tiket yang dijual dalam 23 hari. Bundarkan jawapan kepada ribu yang terdekat.A bus company sells 4 285 tickets every day. Calculate the number of tickets sold in 23 days. Round off the answer to the nearest thousand.

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• 4 285 × 23 = 98 555 [1]1
• 98 555 rounded off to the nearest thousand = 99 000 [1] (the hundreds digit is 5, so round up)1

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For the teacher: Applying, low difficulty, Unit 1, standard 1.6.3

Textbook p. 29

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Question 4

[2 marks] 49 × 338 = (jawapan dalam bentuk termudah)49 × 338 = (answer in the simplest form)

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• 338 = 278 [1]1
• 49 × 278 = 10872 = 112 (or 32) [1]1

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

Textbook p. 68

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Question 5

[2 marks] 8.475 + 3.62 − 5.308 =

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• 8.475 + 3.620 = 12.095 [1]1
• 12.095 − 5.308 = 6.787 [1]1

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

Textbook p. 74

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Question 6

[2 marks] Puan Rosnah mempunyai 2 kg 250 g tepung. Dia menggunakan 24% daripada tepung itu untuk membuat kuih. Hitung jisim tepung, dalam g, yang digunakan.Puan Rosnah has 2 kg 250 g of flour. She uses 24% of the flour to make kuih. Calculate the mass of flour, in g, that she uses.

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• 2 kg 250 g = 2 250 g [1]1
• 24 ÷ 100 × 2 250 = 540 g [1]1

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For the teacher: Applying, medium difficulty, Unit 5, standard 5.2.1

Textbook p. 190

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Question 7

[2 marks] Aini, Boon dan Chandra memberi sejumlah RM1 000 untuk tabung lawatan kelas. Aini memberi RM285.60 dan Boon memberi RM340.75. Berapakah jumlah wang yang diberi oleh Chandra?Aini, Boon and Chandra gave a total of RM1 000 to the class trip fund. Aini gave RM285.60 and Boon gave RM340.75. How much did Chandra give?

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• RM285.60 + RM340.75 = RM626.35 [1]1
• RM1 000 − RM626.35 = RM373.65 [1]1

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

Textbook p. 93

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Question 8

Rajah 2 menunjukkan kalendar bagi bulan Februari dan Mac 2028. Tarikh mula dan tarikh tamat perkhemahan dibulatkan.Diagram 2 shows the calendar for February and March 2028. The start date and the end date of the camp are circled.

[2 marks] Sebuah perkhemahan sekolah bermula pada 26 Februari 2028 pukul 8:00 malam dan berakhir pada 2 Mac 2028 pukul 6:00 pagi. Hitung tempoh perkhemahan itu dalam hari dan jam.A school camp starts on 26 February 2028 at 8:00 p.m. and ends on 2 March 2028 at 6:00 a.m. Calculate the duration of the camp in days and hours.

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• From 26 February 8:00 p.m. to 1 March 8:00 p.m. = 4 days (February 2028 has 29 days, as the calendar shows) [1]1
• From 1 March 8:00 p.m. to 2 March 6:00 a.m. = 10 hours, so 4 days 10 hours [1]1

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For the teacher: Applying, medium difficulty, Unit 4, standard 4.1.1 (ii)

Textbook p. 125

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Question 9

[2 marks] Satu acara bacaan berlangsung selama 4 jam 10 minit. Nadia telah membaca selama 1 jam 35 minit. Berapa lama lagi acara itu akan berlangsung? Beri jawapan dalam jam dan minit.A reading event lasts 4 hours 10 minutes. Nadia has been reading for 1 hour 35 minutes. How much longer does the event last? Give the answer in hours and minutes.

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• 4 h 10 min = 3 h 70 min (regroup 1 hour as 60 minutes) [1]1
• 3 h 70 min − 1 h 35 min = 2 h 35 min [1]1

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For the teacher: Applying, low difficulty, Unit 4, standard 4.3.1 (ii)

Textbook p. 144

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Question 10

[2 marks] Sebuah denai sepanjang 6.4 km. Faris telah berjalan sejauh 3 km 850 m. Hitung jarak, dalam km, yang masih perlu dia berjalan.A trail is 6.4 km long. Faris has walked 3 km 850 m. Calculate the distance, in km, that he still has to walk.

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• 3 km 850 m = 3.85 km [1]1
• 6.4 − 3.85 = 2.55 km [1]1

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For the teacher: Applying, medium difficulty, Unit 5, standard 5.1.4

Textbook p. 183

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Question 11

Rajah 3 menunjukkan bilangan pelekat yang dikumpulkan oleh lapan orang murid.Diagram 3 shows the number of stickers collected by eight pupils.

[2 marks] Hitung median bagi data itu.Calculate the median of the data.

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• Arranged in order: 18, 18, 22, 23, 27, 29, 31, 35 [1]1
• Median = (23 + 27) ÷ 2 = 25 [1]1

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

Textbook p. 255

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Question 12

Rajah 4 menunjukkan harga bagi sekumpulan buku latihan di sebuah kedai buku.Diagram 4 shows the price of a pack of exercise books at a bookshop.

[3 marks] Raju membeli 22 buah buku latihan yang sama. Hitung jumlah harga, dalam RM, yang perlu dia bayar.Raju buys 22 of the same exercise books. Calculate the total price, in RM, that he has to pay.

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• Price of 1 book = RM24.75 ÷ 15 [1]1
• = RM1.65 [1]1
• 22 × RM1.65 = RM36.30 [1]1

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For the teacher: Applying, high difficulty, Unit 7, standard 7.3.1

Textbook p. 242

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Question 13

Rajah 5 menunjukkan dua buah kuboid yang dicantumkan sebelah-menyebelah. Kedalaman kedua-dua kuboid itu ialah 8 cm.Diagram 5 shows two cuboids joined side by side. Both cuboids are 8 cm deep.

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

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• Length of the tall cuboid = 24 − 15 = 9 cm [1]1
• Volume of the tall cuboid = 9 × 8 × 10 = 720 cm³; volume of the low cuboid = 15 × 8 × 4 = 480 cm³ [1]1
• 720 + 480 = 1 200 cm³ [1]1

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

Textbook p. 226

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Question 14

Rajah 6 menunjukkan masa keluarga Encik Hamdan bertolak dari Kuantan ke Kota Bharu pada pagi Sabtu.Diagram 6 shows the time Encik Hamdan's family leaves Kuantan for Kota Bharu on Saturday morning.

[3 marks] Pada pukul berapakah keluarga itu tiba di Kota Bharu? Beri jawapan dalam sistem 12 jam.At what time does the family arrive in Kota Bharu? Give the answer in the 12-hour system.

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• 0.6 hour = 0.6 × 60 = 36 minutes, so 3.6 hours = 3 hours 36 minutes [1]1
• 8:40 a.m. + 3 h = 11:40 a.m. [1]1
• 11:40 a.m. + 36 min = 12:16 p.m. [1]1

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For the teacher: Applying, low difficulty, Unit 4, standard 4.2.2

Textbook p. 140

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Question 15

Rajah 7 menunjukkan peta laluan perjalanan keluarga itu pada satu satah Cartes. K ialah rumah, R ialah hentian rehat dan P ialah pantai.Diagram 7 shows a map of the family's route on a Cartesian plane. K is the house, R is the rest stop and P is the beach.

[1 mark] (i)Tulis koordinat R.Write the coordinates of R.

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• (7, 5) [1]1

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[2 marks] (ii)Kereta itu bergerak dari K ke R, kemudian dari R ke P. Hitung jumlah jarak mengufuk, dalam unit, yang dilalui oleh kereta itu.The car moves from K to R, and then from R to P. Calculate the total horizontal distance, in units, moved by the car.

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• K to R: 7 − 1 = 6 units; R to P: 7 − 4 = 3 units [1]1
• 6 + 3 = 9 units [1]1

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

Textbook p. 237

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Question 16

Rajah 8 menunjukkan kadar tol di sebuah lebuh raya yang digunakan oleh keluarga itu.Diagram 8 shows the toll rates on a highway used by the family.

[3 marks] Pada setiap hari daripada 6 hari cuti itu, keluarga itu melalui ketiga-tiga plaza tol semasa perjalanan pergi dan sekali lagi semasa perjalanan balik. Hitung jumlah tol, dalam RM, yang dibayar dalam 6 hari itu.On each of the 6 days of the holiday, the family drives through all three toll plazas on the way out and again on the way back. Calculate the total toll, in RM, paid in the 6 days.

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• RM5.60 + RM9.35 + RM3.85 = RM18.80 for one direction [1]1
• RM18.80 × 2 = RM37.60 for one day [1]1
• RM37.60 × 6 = RM225.60 [1]1

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

Textbook p. 95

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Question 17

[3 marks] Puan Hamdan membancuh sirap dan air dengan nisbah 2 : 7 untuk menghasilkan 4.5 ℓ minuman bagi perjalanan itu. Hitung isi padu sirap, dalam mℓ, yang digunakan.Puan Hamdan mixes syrup and water in the ratio 2 : 7 to make 4.5 ℓ of drink for the trip. Calculate the volume of syrup, in mℓ, that she uses.

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• 4.5 ℓ = 4 500 mℓ [1]1
• 2 + 7 = 9 parts, so 1 part = 4 500 ÷ 9 = 500 mℓ [1]1
• Syrup = 2 × 500 = 1 000 mℓ [1]1

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

Textbook p. 246

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Question 18

Tiga kaunter menjual tiket lawatan sekolah ke muzium. Rajah 9 menunjukkan bilangan tiket yang dijual. Jumlah tiket yang dijual di ketiga-tiga kaunter ialah 4 860.Three booths sell tickets for the school trip to the museum. Diagram 9 shows the number of tickets sold. The total number of tickets sold at the three booths is 4 860.

[3 marks] Hitung bilangan tiket yang dijual di kaunter R.Calculate the number of tickets sold at booth R.

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• Booth Q: 2 × 1 275 = 2 550 [1]1
• Booths P and Q: 1 275 + 2 550 = 3 825 [1]1
• 4 860 − 3 825 = 1 035 [1]1

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

Textbook p. 51

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Question 19

Rajah 10 menunjukkan jadual perjalanan bas bagi lawatan sekolah itu.Diagram 10 shows the timetable of the bus for the school trip.

[3 marks] Hitung jumlah masa, dalam jam dan minit, bas itu bergerak dari sekolah ke taman rekreasi.Calculate the total time, in hours and minutes, that the bus is travelling from the school to the recreation park.

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• School to museum: 7:45 a.m. to 9:20 a.m. = 1 h 35 min [1]1
• Museum to park: 12:05 p.m. to 1:10 p.m. = 1 h 5 min [1]1
• 1 h 35 min + 1 h 5 min = 2 h 40 min [1]1

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For the teacher: Applying, low difficulty, Unit 4, standard 4.3.1

Textbook p. 144

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Question 20

Rajah 11 menunjukkan perjalanan pulang bas itu sejauh 240 km. Sebelum makan tengah hari, bas itu bergerak 45% daripada jarak itu. Selepas makan tengah hari, bas itu bergerak 38 daripada jarak itu.Diagram 11 shows the 240 km journey home of the bus. Before lunch, the bus travels 45% of the distance. After lunch, the bus travels 38 of the distance.

[3 marks] Hitung jarak, dalam km, yang belum dilalui oleh bas itu.Calculate the distance, in km, that the bus has not yet travelled.

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• 45% of 240 = 108 km [1]1
• 38 of 240 = 90 km [1]1
• 240 − 108 − 90 = 42 km [1]1

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For the teacher: Applying, medium difficulty, Unit 2, standard 2.4.1

Textbook p. 86

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Question 21

Rajah 12 menunjukkan bilangan pelawat ke kedai cenderamata muzium dari hari Isnin hingga hari Jumaat.Diagram 12 shows the number of visitors to the museum souvenir shop from Monday to Friday.

[1 mark] (i)Hitung min bilangan pelawat setiap hari bagi lima hari itu.Calculate the mean number of visitors per day for the five days.

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• (18 + 25 + 22 + 30 + 20) ÷ 5 = 115 ÷ 5 = 23 visitors [1]1

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[2 marks] (ii)Pada hari Sabtu, min bilangan pelawat bagi enam hari itu ialah 24. Hitung bilangan pelawat pada hari Sabtu.On Saturday, the mean number of visitors for the six days is 24. Calculate the number of visitors on Saturday.

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• Total for six days = 24 × 6 = 144 [1]1
• 144 − 115 = 29 visitors [1]1

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

Textbook p. 256

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