Selasa, 1 Mac 2011

Drill for Chapter 1 Arithmetic Progression

Questions from Selangor 2008.
Paper 1 (2 questions) and no question in Paper 2.
1.  The first three terms of a sequence are 8, 3x – 2 and 18. Find the value of x so that the
      sequence is an arithmetic progression.                               
      Tiga sebutan pertama dalam satu jujukan adalah 8, 3x – 2 and 18. 
      Cari nilai x supaya jujukan ini adalah satu janjang aritmetik.

2.   The first term of an arithmetic progression is – 4. Given that the value of the 13th term
      is 4 times the value of 5th term, find the common difference of this arithmetic
      progression.                                                                                    [ 3 marks ]
      Sebutan pertama suatu janjang aritmetik adalah – 4. Diberi nilai sebutan ke – 13
      adalah 4 kali nilai sebutan ke – 5, cari beza sepunya janjang aritmetik ini.

Questions from trial Terengganu 2009.
Paper 1
1.   Given the three consecutive terms of an arithmetic progression are 12, 3k – 2 and 4+k
      where k is a constant. Find the value of k.                           [ 2 marks ]
       Diberi tiga sebutan berturutan suatu janjang aritmetik ialah 12, 3k – 2 dan 4+k
       dengan keadaan k ialah pemalar. Cari nilai k.


Questions from trial Perak 2008
Paper 1 (1 questions) and no question in Paper 2.

1.     The first three terms of an arithmetic progression are m, 2m + 5 and 5m + 2. Find …     
        Tiga sebutan pertama suatu janjang aritmetik ialah  m, 2m + 5 and 5m + 2. Carikan..
a.     the value of m
        nilai m
b.     the sum of the first 10 terms of the progression.
        hasil tambah 10 sebutan pertama bagi janjang itu.                     [3 marks]

Questions from trial Kelantan 2008 (Majlis-majlis Pengetua)
Paper 1
1.     The first three terms of an arithmetic progression are 3,  y , 9 . Find the value of
         y and the 5th term of the sequence.
         Tiga sebutan pertama bagi satu janjang aritmetik adalah 3 , y , 9 . Cari nilai bagi
         y dan sebutan ke-5 bagi jujukan tersebut.                                 [2 marks]

2.     The 7th term of an arithmetic progression is 4 + 5n and the sum of first four terms
        of the progression is 7n – 9 , where n is a constant. Given that the first term of the
        progression is 3, find the value of n.
        Sebutan ke-7 bagi suatu janjang aritmetik adalah 4 + 5n dan hasil tambah empat
        sebutan pertama janjang itu ialah 7n – 9 , dengan keadaan n ialah pemalar. Diberi
        bahawa sebutan pertama janjang itu adalah 3, cari nilai n.


Questions from trial KL 2009
Paper 1 (1 question) and no question in Paper 2
1.    An arithmetic progression 3, 2m, 13, … has a common difference of 5. Find
       Suatu janjang aritmetik 3, 2m, 13 mempunyai beza sepunya 5. Cari
a.    the value of m,
       nilai bagi m.
b.    the term with value 103
       sebutan yang mempunyai nilai 103.                                                          [3 marks]

Questions from trial SBP 2009
Paper 1
1.     It is given an arithmetic progression is 5, 7, 9, …. , 87 . Find the number of terms of
        this progression.
         Diberi bahawa suatu janjang aritmetik ialah 5, 7, 9 , …. 87 . Cari bilangan sebutan
         dalam janjang itu.                                                                                  [3 marks]

Questions from Mid-year 2009
Paper 1
1.    The first three terms of an arithmetic progression are – 185, – 181 and – 177. The nth
       term of this progression is positive. Find the least value of n.                       [2 marks]
       Tiga sebutan pertama bagi satu janjang aritmetik adalah – 185, – 181 dan – 177.
       Sebutan ke-n bagi janjang ini adalah positif. Cari nilai n yang terkecil.

Paper 2.
1.     The sum of the first n terms of an arithmetic progression is given by Sn = n(4n–1).
        Find,
        Hasil tambah n sebutan pertama suatu janjang aritmetik diberi oleh Sn = n(4n–1).
       Cari,
a)     the first term
        sebutan pertama
b)    the common difference
       beza sepunya                                                                                            [3 marks]

Questions from trial Perlis 2009
1.     The first term and the last term of an arithmetic progression are – 5 and 85 
        respectively. It is given that the sum of all terms is 1240. Find
        Sebutan pertama dan sebutan terakhir bagi satu janjang aritmetik ialah – 5 dan 85.
        Diberi bahawa jumlah semua sebutan itu ialah 1240. Cari

a)     the numbers of terms.
        bilangan sebutan

b)     the common difference
        beza sepunya                                                                                           [4 marks]

1 ulasan:

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