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________________________________________________________POLIMAS/JMSK/B1009/Q/A1S1/JAN2010

                                 DEPARTMENT OF MATHEMATICS, SCIENCE & COMPUTER
                                    Politeknik Sultan Abdul Halim Mu’adzam Shah,
                                  06000 Bandar Darulaman, Jitra, Kedah Darulaman.


Name
Registration No.
Programme

                                           B1009 – MATHEMATICS
                                              Assignment # 1

Duration       : 1 week
Instruction    : Answer all the questions.




QUESTION 1
Round off the following value correct to three significant figures.
Bundarkan nilai yang berikut betul sehingga tiga angka bererti.

i.      824010                                                 iv.     500.42
ii.     0.000097                                               v.      0.002997
iii.    1.2273
                                                                                            (5 Marks/Markah)


QUESTION 2
Express the following value in standard form correct to three significant figures.
Tunjukkan nilai berikut dalam bentuk piawai betul sehingga tiga angka bererti.

i.      65273                                                  iv.     0.00075 × 10 6
ii.     0.00941                                                v.      8017 × 35 × 10 −12
iii.     2386 × 10 4
                                                                                            (5 Marks/Markah)



QUESTION 3
Solve the following equation and give the answers in standard form.
Selesaikan yang berikut dan berikan jawapannya dalam bentuk piawai.
i.      56.31 × 10 7 + 78090000
ii.     394000 − 1.66 × 10 5
iii.    (9.293 × 10 ) + (1.3 × 10 )
                       2          3



iv.     ( 0.92 × 10 ) − ( 7.41 × 10 ) + ( 0.00653 × 10 )
                   −5                 −6                −3




                                             Page   1
________________________________________________________POLIMAS/JMSK/B1009/Q/A1S1/JAN2010




v.      7.51 × 10 −2 + ( 9.03 × 10 3 ÷ 4.68 × 10 5 )
          0.00032
vi.
        18.65 × 10 −6
         3.57 × 10 8
vii.
        (1.4 × 10 )  −2 3


viii.   7.21 × 10 6 − 9.3 × 10 3 ÷ 2.51 × 10 −3

ix.
        (8.2 × 10 )(9.6 × 10 )
                     −5              7


              1.76 × 10 −4
x.        ( 4 × 10   −3
                          − 4 × 10 −4 )
                                                                                            (35 Marks/Markah)


QUESTION 4
Solve the following problems.
Selesaikan yang berikut.

i.      The bus fare is RM 6.50 for an adult and RM 2.85 for a child. If there are 13 adults and 7 children
        in the bus, how much bus fare is collected? Give your answer in three significant figures.


ii.     The diameter of a sphere is 12 cm. Calculate the volume, in cm3, of the sphere. Round off your

                                                                                   4 3
        answer to three significant figures. (Given that the volume of sphere is     πr )
                                                                                   3

iii.    The density of chloroform is 2.9 g cm-3. Find the mass, in gram, of 25.8 cm3 of chloroform. Give

                                                                           Mass
        your answer in three significant figures. (Given that Density =          )
                                                                          Volume

iv.     A rectangular floor has abreadth of 4 800 cm and a length of 6 000 cm. The floor will be covered
        with tiles. Each tile is a square of side 40 cm. Calculate the number of tiles required to cover the
        floor fully. State the answer in standard form.


v.      The speed of comet is 7 × 10 4 km s-1. Find the time, in seconds, taken by the comet to travel

        3.5 × 10 9 km. Give the answer in standard form.

vi.     A pentagon has equal sides of 6.3 × 10 4 cm. Calculate the perimeter, in cm, of the pentagon.
        Express the answer in standard form.


                                           Page        2
________________________________________________________POLIMAS/JMSK/B1009/Q/A1S1/JAN2010
                                                                          (25 Marks/Markah)




QUESTION 5
By using factorization method, solve the following quadratic equations.
Dengan menggunakan kaedah pemfaktoran, selesaikan persamaan kuadratik yang berikut.
                6
i.      x−5 =
                x
ii.     6x 2 + 2 = 7x
                                                                                 (10 Marks/Markah)




QUESTION 6
By using quadratic formula, solve the following quadratic equations.
Dengan menggunakan formula kuadratik, selesaikan persamaan kuadratik yang berikut.
i.      4x 2 + 3 = 9x
ii.     1 − x 2 − 5x = 0
                                                                                     (8 Marks/Markah)




QUESTION 7
Solve the following quadratic equations by using Completing the Square Method.
Selesaikan persamaan-persamaan kuadratik yang berikut dengan menggunakan Kaedah
Penyempurnaan Kuasa Dua .
i.      3x − x 2 + 5 = 0
ii.     3x 2 = x + 6
                                                                                 (12 Marks/Markah)




                                        Page     3

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Assignment1 set1

  • 1. ________________________________________________________POLIMAS/JMSK/B1009/Q/A1S1/JAN2010 DEPARTMENT OF MATHEMATICS, SCIENCE & COMPUTER Politeknik Sultan Abdul Halim Mu’adzam Shah, 06000 Bandar Darulaman, Jitra, Kedah Darulaman. Name Registration No. Programme B1009 – MATHEMATICS Assignment # 1 Duration : 1 week Instruction : Answer all the questions. QUESTION 1 Round off the following value correct to three significant figures. Bundarkan nilai yang berikut betul sehingga tiga angka bererti. i. 824010 iv. 500.42 ii. 0.000097 v. 0.002997 iii. 1.2273 (5 Marks/Markah) QUESTION 2 Express the following value in standard form correct to three significant figures. Tunjukkan nilai berikut dalam bentuk piawai betul sehingga tiga angka bererti. i. 65273 iv. 0.00075 × 10 6 ii. 0.00941 v. 8017 × 35 × 10 −12 iii. 2386 × 10 4 (5 Marks/Markah) QUESTION 3 Solve the following equation and give the answers in standard form. Selesaikan yang berikut dan berikan jawapannya dalam bentuk piawai. i. 56.31 × 10 7 + 78090000 ii. 394000 − 1.66 × 10 5 iii. (9.293 × 10 ) + (1.3 × 10 ) 2 3 iv. ( 0.92 × 10 ) − ( 7.41 × 10 ) + ( 0.00653 × 10 ) −5 −6 −3 Page 1
  • 2. ________________________________________________________POLIMAS/JMSK/B1009/Q/A1S1/JAN2010 v. 7.51 × 10 −2 + ( 9.03 × 10 3 ÷ 4.68 × 10 5 ) 0.00032 vi. 18.65 × 10 −6 3.57 × 10 8 vii. (1.4 × 10 ) −2 3 viii. 7.21 × 10 6 − 9.3 × 10 3 ÷ 2.51 × 10 −3 ix. (8.2 × 10 )(9.6 × 10 ) −5 7 1.76 × 10 −4 x. ( 4 × 10 −3 − 4 × 10 −4 ) (35 Marks/Markah) QUESTION 4 Solve the following problems. Selesaikan yang berikut. i. The bus fare is RM 6.50 for an adult and RM 2.85 for a child. If there are 13 adults and 7 children in the bus, how much bus fare is collected? Give your answer in three significant figures. ii. The diameter of a sphere is 12 cm. Calculate the volume, in cm3, of the sphere. Round off your 4 3 answer to three significant figures. (Given that the volume of sphere is πr ) 3 iii. The density of chloroform is 2.9 g cm-3. Find the mass, in gram, of 25.8 cm3 of chloroform. Give Mass your answer in three significant figures. (Given that Density = ) Volume iv. A rectangular floor has abreadth of 4 800 cm and a length of 6 000 cm. The floor will be covered with tiles. Each tile is a square of side 40 cm. Calculate the number of tiles required to cover the floor fully. State the answer in standard form. v. The speed of comet is 7 × 10 4 km s-1. Find the time, in seconds, taken by the comet to travel 3.5 × 10 9 km. Give the answer in standard form. vi. A pentagon has equal sides of 6.3 × 10 4 cm. Calculate the perimeter, in cm, of the pentagon. Express the answer in standard form. Page 2
  • 3. ________________________________________________________POLIMAS/JMSK/B1009/Q/A1S1/JAN2010 (25 Marks/Markah) QUESTION 5 By using factorization method, solve the following quadratic equations. Dengan menggunakan kaedah pemfaktoran, selesaikan persamaan kuadratik yang berikut. 6 i. x−5 = x ii. 6x 2 + 2 = 7x (10 Marks/Markah) QUESTION 6 By using quadratic formula, solve the following quadratic equations. Dengan menggunakan formula kuadratik, selesaikan persamaan kuadratik yang berikut. i. 4x 2 + 3 = 9x ii. 1 − x 2 − 5x = 0 (8 Marks/Markah) QUESTION 7 Solve the following quadratic equations by using Completing the Square Method. Selesaikan persamaan-persamaan kuadratik yang berikut dengan menggunakan Kaedah Penyempurnaan Kuasa Dua . i. 3x − x 2 + 5 = 0 ii. 3x 2 = x + 6 (12 Marks/Markah) Page 3