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MATHEMATICS

FORM 3

MODULE 12

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RATES, RATIOS AND

PROPORTIONS II

MINISTRY OF EDUCATION MALAYSIA

2

MODULE 12: RATES, RATIOS AND PROPORTIONS II Arahan:

1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam bahasa

Inggeris.

2. Modul merangkumi tujuh konstruk yang diuji

K1 - Memahami soalan dalam bahasa Inggeris K3 - Memahami istilah matematik dalam bahasa Inggeris K5 - Menguasai konstruk pengetahuan K6 - Menguasai konstruk kefahaman K7 - Menguasai konstruk kemahiran K8 - Mengungkapkan idea/informasi dalam bahasa Inggeris K10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris

3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif disediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalan dan jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam kertas jawapan objektif sebelum ujian.

4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan

pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan objektif.

Contoh:

Antara berikut, yang manakah haiwan?

A. Pokok B. Kambing C. Kereta D. Pen

5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan yang

disediakan oleh guru.

6. Jawab semua soalan.

Modul ini mengandungi 15 halaman bercetak

D A B C E

3

1 The temperature of a metal block rises 7°C every two minutes when rate of heating is 27°C per

minute. If the temperature decreases 3°C every minute, what is the rate of cooling?

A 2

7°C per minute

B

3 °C per minute

C 2

3°C per minute

D

7 °C per minute

2 The speed of a car is 50km/h if distance travelled in one hour is 50 km. What is the speed of a

toy car if the distance travelled in one minute is 65 m?

A 65km/h

B 65m/min

C 50m/min

D 50km/h

3 The distance travelled by a car is equal to the product of its speed and time taken. Calculate

the distance travelled in 2 hours when the speed is 80km/h.

A 40 km

B 80 km

C 82 km

4

4 Haslina bought 5 kg of rambutan for RM7. The price of rambutan is RM57

per kg. What is the

price of langsat if she bought 2 kg of langsat for RM5?

A RM5 /kg

B RM kg/

57

C

RM kg7/

D RM kg/

25

5 20m per second per second can be written as 20m/s/s. 15 cm 3 per minute can be written as

A 15 cm 3 /s

B 15 cm 3 /s/s

C 15 cm 3 /min

D 15 cm 3 /min/s

6 The rate of change of distance with respect to time is known as

A speed

B retardation

C acceleration

D average speed

7 Mr Ahmad drove from town X to town X at a speed of 110km/h. He maintained the same speed

throughout the journey. He drove at a

A speed

B mean speed

C uniform speed

D average speed

5

8 Aini travelled 168 km from town P to Q in 3 hours. At town Q she stopped for half an hour and

then drove another 114 km to reach town R in 121

hours. The following calculation was carried

out to represent Aini’s speed from P to R

u represents

A mean speed

B uniform speed

C average speed

D constant speed

9 The rate that describes how speed increases with respect to time is known as

A retardation

B acceleration

C deceleration

D negative acceleration

10 The description of how a quantity changes with respect to another quantity is known as

A proportion

B fraction

C ratio

D rate

Speed u =

211

213

114168

++

+

= 5

282

= 56.4km/h

6

11 The rate of fuel consumption of a car is 0.08 /l km. It means

A the car travels 0.08 l km every second.

B the car travels at a speed of 0.08 km/s

C the car uses 0.08 l of fuel every second.

D the car uses 0.08 l of fuel for every km it travelled.

12 Which of the following a correct unit for speed?

A 20 l /s

B 30 cm 3 /min

C 40 RM/kg

D 50 km/h

13 What are the quantities involved in speed?

A Speed and time

B Distance and time

C Volume and distance

D Temperature and time

7

14

The diagram shows the distance – time graph of a car travelling from town S to town T. Which of the following is true about the journey?

A The car stops after 30mins.

B The car moves at a uniform speed

C Speed of the car decreases steadily

D Speed of the car increases uniformly

15 The diagram shows the speed-time graph of a car travelling from Arau to Kepala Batas.

Which of the following is true about the journey of the car?

A The car returns to Arau in an hour

B The car accelerates from J to K

C The car is not moving from K to L

D The acceleration of the car from L to M is 80kmh 2−

Time(min)

Distance (km)

30

30

0 1 J M

L K 80

Speed (km/h)

Time (hour)

8

16 A car travelled p km with speed of q kmh-1. Find the time taken in hour, for the journey.

17 Convert 144 kmh-1 to units ms-1

18 A bus left Ipoh at 1130 and reached Kuala Lumpur at 1430. If the speed of the bus is 80 kmh-1,

find the distance in km between Ipoh and Kuala Lumpur.

A pq

B qp

C pq

D p + q

A 60601000144×

×

B 601000144×

C 6060144×

D 60144

A 480×

B 4

80

C 380×

D 380

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19 The table shows the rate of parking fees in a parking lot. Mariam parked her car in the lot for 4 hours. How much she had to pay?

20 Ali took 5 hours to travel from town P to town Q and then took 6 hours to return to town P. Given

that the distance from town P to town Q is 300 km. Find the average speed, in kmh-1, for the whole journey.

Time Rate

1st hour RM 4

Subsequent hour RM 1.50

A 1.504 +

B 1.504×

C 1.5034 ×+

D 1.5044 ×+

A 6300

5300

+

B 211300÷

C 11300

D 11600

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21 Mr. Ali took 221

hours to complete a journey at a speed of 80 km/hour. Calculate the

distance travelled, in km.

22 The table shows the parking rate of a car park.

If Murni, paid RM 12.50 for parking her car, how long in hours, did she park her car there?

A 80 B 100 C 160 D 200

Time Rate

1st hour RM 5.00

2nd hour RM 3.50

Subsequent hour RM 2.00

A 2 B 3 C 4 D 5

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23

Noni drives from Kuching to Serian for 121

hours. Then she takes 165

hours to travel from Serian

to Sungai Tengang. The average speed for the whole journey is

24 Puan Aliza drove her car at a speed of 80 kmh-1. She increased the speed uniformly to 120

kmh-1 in 10 minutes. The acceleration in kmh-2 of the car was

25 The exchange rate between Malaysian Ringgit and the British Pound is approximately RM 7 to 1 Pound. Lily wants to change RM 4200 to Pounds. How many pounds can she get?

A km/h43

24

B

km/h21

49

C

km/h55

D

km/h99

A 80 B 120 C 200 D 240

A 29400 B 2940 C 600 D 420

55 km 110 km

Kuching Serian Sungai Tengang

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All questions from number 26 to number 30 must be answered in words. 26 Wan Azahan bought 3 kg of langsat for RM6. Describe how the price of 1 kg langsat is calculated. Answer: 27 Describe how 80 km/h is converted to km/min. Answer: 28 Explain the statement: “Volume of the balloon is decreasing at the rate of 20 cm 3 /s” Answer: 29 The diagram shows the distance-time graph of a moving particle. 20

30

0 Time ( min )

Distance

13

Describe the distance-time graph above. Answer: 30 Explain the meaning of 20 ms 2− Answer:

From Question 31 to 35, the teacher reads the questions to the students. Students choose the correct answer. 31

A 2

B 1.5

C 1.0

D 0.5

14

32

A 50.0 km

B 90.0 km

C 112.5 km

D 412.5 km

33

A RM 2

B RM 16

C RM 79

D RM 84

34

A 2

B 4

C 40

D 120

15

35

A 4

B 6

C 8

D 15

END OF QUESTION PAPER

16 17

18

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28

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30

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A B C D E

Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK

GUNAKAN PENSIL 2B ATAU BB SAHAJA. TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG. PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH

SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH

KEMENTERIAN PELAJARAN MALAYSIAKERTAS JAWAPAN OBJEKTIF

Ujian Diagnostik

5152

53

54

55

A B C D E

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5657

58

59

60

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4647

48

49

50

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4142

43

44

45

A B C D E

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31 32

33

34

35

A B C D E

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36 37

38

39

40

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1 2

3

4

5

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8

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11 12

13

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A B C D E

Konstruk No. Soalan Jumlah Soalan

Bilangan Soalan Gagal Dijawab

Kegunaan Guru

K1

K3

K5

K6

K7

K8

K10

1-5

6-10

11-15

16-20

21-25

26-30

31-35

5

5

5

5

5

5

5

1

9

2

3

10

4

5

6

7

8

Nama Pelajar:

Nama Sekolah: Modul: 12