ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VI - Fundamental Concepts of Algebra
Question 1
1.
    • The value of the polynomial
    • (
      6
      k
      2
       
      −
      6
      k
      +
      3
      		)
    • at
    •  
    • k
    • =
    • (-4)
    • is
  • 121
  • 123
  • 124
  • 122
  • 125
Question 2
2.
    • The degree of the polynomial
    • (
      9
      d
      +
      4
      		)
    • is
  • 1
  • 0
  • 4
  • 2
  • (-1)
Question 3
3.
    • The degree of polynomial
    • (
      9
      v
      2
       
      w
      2
       
      x
      +
      7
      v
      w
      2
       
      x
      2
       
      −
      2
      v
      w
      −
      5
      w
      2
       
      −
      5
      w
      x
      2
       
      		)
    • is
  • 4
  • 5
  • 8
  • 2
  • 6
Question 4
4.
    • Given
    • f
      (
      u
      )
    • =
    • (
      −
      3
      u
      2
       
      +
      7
      u
      −
      5
      		)
    • ,
    • find
    •  
    • f
      (
      (-5)
      )
  • -114
  • -116
  • -117
  • -115
  • -113
Question 5
5.
    • The expanded form of
    • (
      3
      p
      +
      1
      		)
      3
       
    • is
  • (
    3
    p
    +
    1
    		)
    ✕
    (
    3
    p
    +
    1
    		)
  • (
    3
    p
    +
    1
    		)
    ✕
    (
    3
    p
    +
    1
    		)
    ✕
    (
    3
    p
    +
    1
    		)
    ✕
    (
    3
    p
    +
    1
    		)
    ✕
    (
    3
    p
    +
    1
    		)
  • (
    3
    p
    +
    1
    		)
  • (
    3
    p
    +
    1
    		)
    ✕
    (
    3
    p
    +
    1
    		)
    ✕
    (
    3
    p
    +
    1
    		)
  • (
    3
    p
    +
    1
    		)
    ✕
    (
    3
    p
    +
    1
    		)
    ✕
    (
    3
    p
    +
    1
    		)
    ✕
    (
    3
    p
    +
    1
    		)
Question 6
6.
    • The expanded form of
    • (
      1
      2
      g
      h
      		)
      3
       
    • is
  • 1
    2
    g
    h
  • 1
    2
    g
    h
    ✕
    1
    2
    g
    h
    ✕
    1
    2
    g
    h
    ✕
    1
    2
    g
    h
  • 1
    2
    g
    h
    ✕
    1
    2
    g
    h
    ✕
    1
    2
    g
    h
    ✕
    1
    2
    g
    h
    ✕
    1
    2
    g
    h
  • 1
    2
    g
    h
    ✕
    1
    2
    g
    h
    ✕
    1
    2
    g
    h
  • 1
    2
    g
    h
    ✕
    1
    2
    g
    h
Question 7
7.
Which of the following algebraic expressions is a constant polynomial?
  • (
    −
    9
    n
    2
     
    o
    2
     
    p
    2
     
    −
    4
    n
    2
     
    p
    3
     
    −
    8
    n
    p
    		)
  • (
    8
    o
    3
     
    p
    2
     
    +
    p
    3
     
    		)
  • (
    −
    3
    n
    2
     
    o
    2
     
    −
    9
    n
    2
     
    p
    2
     
    +
    6
    n
    2
     
    p
    +
    5
    o
    p
    2
     
    		)
  • (
    −
    1
    		)
  • (
    −
    4
    n
    3
     
    o
    3
     
    p
    2
     
    		)
Question 8
8.
    • The value of the polynomial
    • (
      −
      k
      4
       
      −
      9
      k
      3
       
      −
      4
      k
      2
       
      +
      5
      k
      −
      2
      		)
    • at
    •  
    • k
    • =
    • 5
    • is
  • -1828
  • -1824
  • -1830
  • -1826
  • -1827
Question 9
9.
    • The coefficient of term
    • c
    • in polynomial
    • (
      −
      9
      c
      2
       
      −
      c
      +
      2
      		)
    • is
  • -2
  • -3
  • -1
  • 2
  • 0
Question 10
10.
    • Which of the following is a like term of
    • (
      −
      3
      e
      2
       
      f
      d
      2
       
      		)
    • ?
  • (
    −
    7
    d
    2
     
    e
    2
     
    f
    		)
  • 4
    d
    2
     
    e
    f
    2
     
  • 4
    d
    e
    f
  • (
    −
    4
    d
    e
    2
     
    f
    		)
  • (
    −
    8
    d
    2
     
    e
    2
     
    f
    2
     
    		)