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 zero polynomial?
  • (
    −
    4
    i
    4
     
    −
    7
    i
    		)
  • (
    −
    5
    i
    4
     
    +
    4
    i
    3
     
    −
    7
    i
    2
     
    +
    5
    i
    −
    2
    		)
  • (
    −
    2
    i
    4
     
    −
    9
    i
    2
     
    +
    2
    i
    		)
  • 0
  • 7
    i
    3
     
Question 2
2.
    • Which of the following is not a factor of
    • 28
      x
      2
       
      y
      z
      2
       
    • ?
  • 7
    x
    2
     
    y
    2
     
    z
    3
     
  • 7
    x
    2
     
    z
    2
     
  • 7
    x
    y
    z
    2
     
  • 7
    x
    2
     
    y
    z
  • 7
    z
Question 3
3.
    • The expanded form of
    • (
      −
      4
      l
      		)
      3
       
    • is
  • (
    −
    4
    l
    		)
    ✕
    (
    −
    4
    l
    		)
    ✕
    (
    −
    4
    l
    		)
    ✕
    (
    −
    4
    l
    		)
  • (
    −
    4
    l
    		)
  • (
    −
    4
    l
    		)
    ✕
    (
    −
    4
    l
    		)
    ✕
    (
    −
    4
    l
    		)
    ✕
    (
    −
    4
    l
    		)
    ✕
    (
    −
    4
    l
    		)
  • (
    −
    4
    l
    		)
    ✕
    (
    −
    4
    l
    		)
  • (
    −
    4
    l
    		)
    ✕
    (
    −
    4
    l
    		)
    ✕
    (
    −
    4
    l
    		)
Question 4
4.
    • a
      		✕
      a
    • =
  • a
  • a
    2
  • −
    a
    2
  • a
    3
  • 4
    a
    2
Question 5
5.
    • The degree of the polynomial
    • (
      −
      8
      w
      2
       
      +
      7
      w
      +
      9
      		)
    • is
  • 5
  • 3
  • (-1)
  • 2
  • 1
Question 6
6.
    • The coefficient of term
    • r
      s
    • in polynomial
    • (
      5
      r
      s
      +
      6
      r
      −
      2
      s
      −
      9
      		)
    • is
  • 3
  • 6
  • 5
  • 4
  • 8
Question 7
7.
    • Which of the following terms is a like term of
    • (
      −
      6
      m
      2
       
      		)
    • ?
  • m
  • (
    −
    5
    m
    3
     
    		)
  • 3
  • 5
    m
    2
     
  • (
    −
    4
    m
    4
     
    		)
Question 8
8.
    • The value of the polynomial
    • (
      6
      x
      4
       
      −
      4
      x
      3
       
      −
      9
      x
      2
       
      +
      3
      x
      −
      7
      		)
    • at
    •  
    • x
    • =
    • 1
    • is
  • -8
  • -12
  • -14
  • -11
  • -10
Question 9
9.
    • Given
    • f
      (
      k
      )
    • =
    • (
      k
      4
       
      +
      5
      k
      3
       
      +
      8
      k
      2
       
      +
      k
      +
      6
      		)
    • ,
    • find
    •  
    • f
      (
      1
      )
  • 19
  • 20
  • 22
  • 21
  • 23
Question 10
10.
    • j
      4
      k
      2
      l
      3
    • =
  • j
    		✕
    j
    		✕
    j
    		✕
    j
    		✕
    k
    		✕
    k
    		✕
    l
    		✕
    l
    		✕
    l
  • 3
    		✕
    j
    		✕
    j
    		✕
    j
    		✕
    j
    		✕
    k
    		✕
    k
    		✕
    l
    		✕
    l
    		✕
    l
  • -2
    		✕
    j
    		✕
    j
    		✕
    j
    		✕
    j
    		✕
    k
    		✕
    k
    		✕
    l
    		✕
    l
    		✕
    l
  • j
    		✕
    j
    		✕
    j
    		✕
    j
    		✕
    j
    		✕
    k
    		✕
    k
    		✕
    l
    		✕
    l
    		✕
    l
  • j
    		✕
    j
    		✕
    j
    		✕
    k
    		✕
    k
    		✕
    l
    		✕
    l
    		✕
    l