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                       MATHEMATICS
                             FORM 3
                          MODULE 12
PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI




               RATES, RATIOS AND
                PROPORTIONS II




                 MINISTRY OF EDUCATION MALAYSIA
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

              A        B          C         D         E



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

   6. Jawab semua soalan.


Modul ini mengandungi 15 halaman bercetak




                                            2
7
                                                                                               ยฐC per
1   The temperature of a metal block rises 7ยฐC every two minutes when rate of heating is
                                                                                           2
    minute. If the temperature decreases 3ยฐC every minute, what is the rate of cooling?


            7
                ยฐC per minute
    A
            2

            3 ยฐC per minute
    B

            3
                ยฐC per minute
    C
            2

            7 ยฐC per minute
    D




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




                                                3
7
                                                                               per kg. What is the
4   Haslina bought 5 kg of rambutan for RM7. The price of rambutan is RM
                                                                           5
    price of langsat if she bought 2 kg of langsat for RM5?

    A       RM5 / kg

                 7
            RM       / kg
    B
                 5

    C       RM 7/ kg
               5
            RM / kg
    D
               2


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

    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




                                                4
8    Aini travelled 168 km from town P to Q in 3 hours. At town Q she stopped for half an hour and
                                                     1
     then drove another 114 km to reach town R in 1 hours. The following calculation was carried
                                                     2
     out to represent Ainiโ€™s speed from P to R

                                168 + 114
                    Speed u =
                                   1    1
                                3 + +1
                                   2    2

                                282
                            =
                                 5
                            = 56.4km/h


      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




                                                5
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




                                                   6
14
     Distance
     (km)
     30




                           30 Time(min)
      The diagram shows the distance โ€“ 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?
        Speed
        (km/h)

                       K       L
           80




                                       M
            J                                     Time
             0                         1          (hour)

     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 โˆ’ 2




                                                    7
A car travelled p km with speed of q kmh-1. Find the time taken in hour, for the journey.
16

     A       pq
              p
     B
              q
              q
     C
              p
     D      p+q



     Convert 144 kmh-1 to units ms-1
17

                      144 ร— 1000
     A                 60 ร— 60

                      144 ร— 1000
     B                     60

                         144
     C                 60 ร— 60

                         144
     D                     60



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


                  80 ร— 4
     A
                  80
     B
                  4
                  80 ร— 3
     C
                  80
     D
                  3




                                                 8
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?


             Time                Rate

            1st hour            RM 4

       Subsequent hour         RM 1.50


              4 + 1.50
     A

              4 ร— 1.50
     B

              4 + 3 ร— 1.50
     C

              4 + 4 ร— 1.50
     D



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.

             300 300
                +
     A        5   6

                       11
              300 รท
     B                  2

                300
     C          11

                600
     D
                11




                                                  9
1
21   Mr. Ali took 2   hours to complete a journey at a speed of 80 km/hour. Calculate the
                   2
     distance travelled, in km.


     A        80
     B       100
     C       160
     D       200



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

                          Time          Rate

                      1st hour        RM 5.00

                      2nd hour        RM 3.50

               Subsequent hour        RM 2.00



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


     A        2
     B        3
     C        4
     D        5




                                                10
23                         55 km                         110 km

                                                                              Sungai Tengang
                                   Serian
            Kuching
                                                1                             5
     Noni drives from Kuching to Serian for 1       hours. Then she takes 1       hours to travel from Serian
                                          2                                   6
     to Sungai Tengang. The average speed for the whole journey is


                3
           24       km/h
     A          4


               1
          49       km/h
     B
               2


          55 km/h
     C


          99 km/h
     D



     Puan Aliza drove her car at a speed of 80 kmh-1. She increased the speed uniformly to 120
24
     kmh-1 in 10 minutes. The acceleration in kmh-2 of the car was

     A       80
     B      120
     C      200
     D      240



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       29400
     B         2940
     C          600
     D          420




                                                    11
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:
      โ€œVolume of the balloon is decreasing at the rate of 20 cm 3 /sโ€

      Answer:




29    The diagram shows the distance-time graph of a moving particle.
             Distance

             30




                                                  Time ( min )
                0              20



                                                  12
Describe the distance-time graph above.

      Answer:




       Explain the meaning of 20 ms โˆ’2
30

      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




                                               13
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




                    14
35




     A   4

     B   6

     C   8

     D   15




              END OF QUESTION PAPER




                       15
KEMENTERIAN PELAJARAN MALAYSIA
                                               KERTAS JAWAPAN OBJEKTIF
                                                    Ujian Diagnostik


     Nama Pelajar:

     Tahun/ Tingkatan :                   3                                      Mata Pelajaran:   MATEMATIK

                                                                                 Modul:                      12
     Nama Sekolah:

     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

        A                                                A                                                        A
              B      C     D     E                               B    C      D      E                                 B    C    D    E
1                                                 31                                                    46
        A                                                A                                                        A
2                                                 32                                                    47
              B      C     D     E                               B    C      D      E                                 B    C    D    E
        A                                                A                                                        A
              B      C     D     E                               B    C      D      E                                 B    C    D    E
3                                                 33                                                    48
        A                                                A                                                        A
              B      C     D     E                               B    C      D      E                                 B    C    D    E
4                                                 34                                                    49
        A                                                A                                                        A
              B      C     D     E                               B    C      D      E                                 B    C    D    E
5                                                 35                                                    50


                                                         A                                                        A
                                                                 B    C      D      E                                 B    C    D    E
6                                                 36                                                    51
        A     B      C     D     E
                                                         A                                                        A
7                                                 37                                                    52
                                                                 B    C      D      E                                 B    C    D    E
        A     B      C     D     E
                                                         A                                                        A
                                                                 B    C      D      E                                 B    C    D    E
        A
8                                                 38                                                    53
              B      C     D     E
                                                         A                                                        A
                                                                 B    C      D      E                                 B    C    D    E
        A
9                                                 39                                                    54
              B      C     D     E
                                                         A                                                        A
                                                                 B    C      D      E                                 B    C    D    E
10                                                40                                                    55
        A     B      C     D     E


                                                         A                                                        A
                                                                 B    C      D      E                                 B    C    D    E
                                                  41                                                    56
        A     B      C     D     E
11
                                                         A                                                        A
                                                  42                                                    57
                                                                 B    C      D      E                                 B    C    D    E
        A
12            B      C     D     E
                                                         A                                                        A
                                                                 B    C      D      E                                 B    C    D    E
        A                                         43                                                    58
              B      C     D     E
13
                                                         A                                                        A
                                                                 B    C      D      E                                 B    C    D    E
        A                                         44                                                    59
              B      C     D     E
14
                                                         A                                                        A
                                                                 B    C      D      E                                 B    C    D    E
                                                  45                                                    60
        A     B      C     D     E
15


                                                                                        Jumlah     Bilangan Soalan
                                                      Konstruk       No. Soalan                                           Kegunaan Guru
        A     B      C     D     E
16
                                                                                        Soalan      Gagal Dijawab
        A
17            B      C     D     E
        A                                               K1                1-5             5
              B      C     D     E               1
18
        A     B      C     D     E
19
                                                        K3                6-10            5
                                                 2
        A     B      C     D     E
20

                                                        K5            11-15               5
                                                 3
        A     B      C     D     E
21
                                                        K6            16-20               5
                                                 4
        A
22            B      C     D     E
        A     B      C     D     E
23
                                                        K7            21-25               5
                                                 5
        A     B      C     D     E
24
        A     B      C     D     E
25                                                                    26-30               5
                                                        K8
                                                 6

                                                                      31-35               5
                                                       K10
                                                 7
        A     B      C     D     E
26
        A
27            B      C     D     E
                                                 8
        A     B      C     D     E
28
        A     B      C     D     E               9
29
        A     B      C     D     E
30
                                                 10

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Module 12 rates ,ratio PMR

  • 1. PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI MATHEMATICS FORM 3 MODULE 12 PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI 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 A B C D E 5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan yang disediakan oleh guru. 6. Jawab semua soalan. Modul ini mengandungi 15 halaman bercetak 2
  • 3. 7 ยฐC per 1 The temperature of a metal block rises 7ยฐC every two minutes when rate of heating is 2 minute. If the temperature decreases 3ยฐC every minute, what is the rate of cooling? 7 ยฐC per minute A 2 3 ยฐC per minute B 3 ยฐC per minute C 2 7 ยฐC per minute D 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 3
  • 4. 7 per kg. What is the 4 Haslina bought 5 kg of rambutan for RM7. The price of rambutan is RM 5 price of langsat if she bought 2 kg of langsat for RM5? A RM5 / kg 7 RM / kg B 5 C RM 7/ kg 5 RM / kg D 2 20m per second per second can be written as 20m/s/s. 15 cm 3 per minute can be written as 5 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 4
  • 5. 8 Aini travelled 168 km from town P to Q in 3 hours. At town Q she stopped for half an hour and 1 then drove another 114 km to reach town R in 1 hours. The following calculation was carried 2 out to represent Ainiโ€™s speed from P to R 168 + 114 Speed u = 1 1 3 + +1 2 2 282 = 5 = 56.4km/h 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 5
  • 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 6
  • 7. 14 Distance (km) 30 30 Time(min) The diagram shows the distance โ€“ 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? Speed (km/h) K L 80 M J Time 0 1 (hour) 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 โˆ’ 2 7
  • 8. A car travelled p km with speed of q kmh-1. Find the time taken in hour, for the journey. 16 A pq p B q q C p D p+q Convert 144 kmh-1 to units ms-1 17 144 ร— 1000 A 60 ร— 60 144 ร— 1000 B 60 144 C 60 ร— 60 144 D 60 A bus left Ipoh at 1130 and reached Kuala Lumpur at 1430. If the speed of the bus is 80 kmh-1, 18 find the distance in km between Ipoh and Kuala Lumpur. 80 ร— 4 A 80 B 4 80 ร— 3 C 80 D 3 8
  • 9. 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? Time Rate 1st hour RM 4 Subsequent hour RM 1.50 4 + 1.50 A 4 ร— 1.50 B 4 + 3 ร— 1.50 C 4 + 4 ร— 1.50 D 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. 300 300 + A 5 6 11 300 รท B 2 300 C 11 600 D 11 9
  • 10. 1 21 Mr. Ali took 2 hours to complete a journey at a speed of 80 km/hour. Calculate the 2 distance travelled, in km. A 80 B 100 C 160 D 200 22 The table shows the parking rate of a car park. Time Rate 1st hour RM 5.00 2nd hour RM 3.50 Subsequent hour RM 2.00 If Murni, paid RM 12.50 for parking her car, how long in hours, did she park her car there? A 2 B 3 C 4 D 5 10
  • 11. 23 55 km 110 km Sungai Tengang Serian Kuching 1 5 Noni drives from Kuching to Serian for 1 hours. Then she takes 1 hours to travel from Serian 2 6 to Sungai Tengang. The average speed for the whole journey is 3 24 km/h A 4 1 49 km/h B 2 55 km/h C 99 km/h D Puan Aliza drove her car at a speed of 80 kmh-1. She increased the speed uniformly to 120 24 kmh-1 in 10 minutes. The acceleration in kmh-2 of the car was A 80 B 120 C 200 D 240 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 29400 B 2940 C 600 D 420 11
  • 12. 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: โ€œVolume of the balloon is decreasing at the rate of 20 cm 3 /sโ€ Answer: 29 The diagram shows the distance-time graph of a moving particle. Distance 30 Time ( min ) 0 20 12
  • 13. Describe the distance-time graph above. Answer: Explain the meaning of 20 ms โˆ’2 30 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 13
  • 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 14
  • 15. 35 A 4 B 6 C 8 D 15 END OF QUESTION PAPER 15
  • 16. KEMENTERIAN PELAJARAN MALAYSIA KERTAS JAWAPAN OBJEKTIF Ujian Diagnostik Nama Pelajar: Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK Modul: 12 Nama Sekolah: 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 A A A B C D E B C D E B C D E 1 31 46 A A A 2 32 47 B C D E B C D E B C D E A A A B C D E B C D E B C D E 3 33 48 A A A B C D E B C D E B C D E 4 34 49 A A A B C D E B C D E B C D E 5 35 50 A A B C D E B C D E 6 36 51 A B C D E A A 7 37 52 B C D E B C D E A B C D E A A B C D E B C D E A 8 38 53 B C D E A A B C D E B C D E A 9 39 54 B C D E A A B C D E B C D E 10 40 55 A B C D E A A B C D E B C D E 41 56 A B C D E 11 A A 42 57 B C D E B C D E A 12 B C D E A A B C D E B C D E A 43 58 B C D E 13 A A B C D E B C D E A 44 59 B C D E 14 A A B C D E B C D E 45 60 A B C D E 15 Jumlah Bilangan Soalan Konstruk No. Soalan Kegunaan Guru A B C D E 16 Soalan Gagal Dijawab A 17 B C D E A K1 1-5 5 B C D E 1 18 A B C D E 19 K3 6-10 5 2 A B C D E 20 K5 11-15 5 3 A B C D E 21 K6 16-20 5 4 A 22 B C D E A B C D E 23 K7 21-25 5 5 A B C D E 24 A B C D E 25 26-30 5 K8 6 31-35 5 K10 7 A B C D E 26 A 27 B C D E 8 A B C D E 28 A B C D E 9 29 A B C D E 30 10