ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VI - Fundamental Concepts of Algebra
Question 1
1.
Which of the following algebraic expressions is a constant polynomial?
  • (
    6
    p
    2
     
    +
    2
    p
    q
    3
     
    r
    3
     
    +
    5
    		)
  • 2
    p
    q
    3
     
    r
    2
     
  • (
    2
    p
    3
     
    q
    r
    −
    8
    q
    3
     
    r
    2
     
    		)
  • (
    −
    9
    		)
  • (
    2
    p
    3
     
    q
    2
     
    r
    3
     
    −
    7
    p
    3
     
    −
    9
    p
    2
     
    q
    3
     
    −
    7
    p
    2
     
    q
    		)
Question 2
2.
    • The degree of the polynomial
    • (
      8
      t
      2
       
      −
      5
      t
      +
      9
      		)
    • is
  • 1
  • 3
  • 5
  • 2
  • (-1)
Question 3
3.
    • g
      3
      h
      4
    • =
  • g
    		✕
    g
    		✕
    g
    		✕
    h
    		✕
    h
    		✕
    h
    		✕
    h
  • g
    		✕
    g
    		✕
    h
    		✕
    h
    		✕
    h
    		✕
    h
  • 3
    		✕
    g
    		✕
    g
    		✕
    g
    		✕
    h
    		✕
    h
    		✕
    h
    		✕
    h
  • -2
    		✕
    g
    		✕
    g
    		✕
    g
    		✕
    h
    		✕
    h
    		✕
    h
    		✕
    h
  • g
    		✕
    g
    		✕
    g
    		✕
    g
    		✕
    h
    		✕
    h
    		✕
    h
    		✕
    h
Question 4
4.
    • The value of the polynomial
    • (
      7
      o
      2
       
      p
      q
      −
      6
      p
      q
      2
       
      		)
    • at
    •  
    • o
    • =
    • (-4)
    • ,
    • p
    • =
    • (-4)
    • ,
    • q
    • =
    • 5
    •  
    • is
  • -1639
  • -1641
  • -1642
  • -1640
  • -1637
Question 5
5.
    • Which of the following is not a factor of
    • 33
      x
      2
       
      y
      3
       
      z
      5
       
    • ?
  • 11
    x
    y
    3
     
    z
    5
     
  • 11
    x
    2
     
    y
    4
     
    z
    5
     
  • 11
    x
    z
    3
     
  • 11
    x
    2
     
    y
    2
     
    z
    5
     
  • 11
    x
    2
     
    y
    3
     
    z
    4
     
Question 6
6.
    • Given
    • f
      (
      m
      )
    • =
    • (
      −
      4
      m
      2
       
      +
      4
      m
      −
      3
      		)
    • ,
    • find
    •  
    • f
      (
      2
      )
  • -11
  • -8
  • -12
  • -13
  • -10
Question 7
7.
    • Which of the following terms is a like term of
    • 5
      t
      2
       
    • ?
  • (
    −
    3
    t
    		)
  • 5
  • (
    −
    4
    t
    2
     
    		)
  • 2
    t
    4
     
  • (
    −
    t
    3
     
    		)
Question 8
8.
    • The degree of the polynomial
    • (
      −
      8
      p
      2
       
      −
      6
      p
      −
      5
      		)
    • is
  • 3
  • 1
  • 0
  • 4
  • 2
Question 9
9.
    • Which of the following is a factor of
    • (
      2
      x
      4
       
      +
      y
      5
       
      z
      		)
    • ?
  • y
    5
     
    z
  • 2
    y
    5
     
  • no factors
  • 2
    x
    4
     
  • 2
    x
    2
     
    z
Question 10
10.
    • Given
    • f
      (
      g
      )
    • =
    • (
      −
      3
      g
      4
       
      −
      2
      g
      3
       
      +
      g
      2
       
      −
      5
      g
      +
      1
      		)
    • ,
    • find
    •  
    • f
      (
      (-4)
      )
  • -603
  • -602
  • -600
  • -605
  • -604