ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VI - Fundamental Concepts of Algebra
Question 1
1.
    • The expanded form of
    • (
      −
      u
      v
      		)
      3
       
    • is
  • (
    −
    u
    v
    		)
    ✕
    (
    −
    u
    v
    		)
    ✕
    (
    −
    u
    v
    		)
    ✕
    (
    −
    u
    v
    		)
  • (
    −
    u
    v
    		)
    ✕
    (
    −
    u
    v
    		)
  • (
    −
    u
    v
    		)
    ✕
    (
    −
    u
    v
    		)
    ✕
    (
    −
    u
    v
    		)
    ✕
    (
    −
    u
    v
    		)
    ✕
    (
    −
    u
    v
    		)
  • (
    −
    u
    v
    		)
  • (
    −
    u
    v
    		)
    ✕
    (
    −
    u
    v
    		)
    ✕
    (
    −
    u
    v
    		)
Question 2
2.
    • The value of the polynomial
    • (
      q
      +
      9
      r
      		)
    • at
    •  
    • p
    • =
    • (-3)
    • ,
    • q
    • =
    • (-5)
    • ,
    • r
    • =
    • 4
    •  
    • is
  • 34
  • 32
  • 29
  • 31
  • 30
Question 3
3.
Which of the following algebraic expressions is a binomial?
  • (
    3
    m
    2
     
    −
    9
    		)
  • (
    6
    m
    4
     
    +
    6
    m
    2
     
    +
    3
    m
    		)
  • 7
    m
    4
     
  • (
    −
    5
    m
    4
     
    +
    5
    m
    3
     
    +
    3
    m
    2
     
    −
    3
    m
    −
    4
    		)
  • (
    −
    m
    4
     
    −
    9
    m
    3
     
    +
    8
    m
    2
     
    +
    6
    m
    −
    2
    		)
Question 4
4.
    • The value of the polynomial
    • (
      −
      5
      p
      2
       
      q
      2
       
      r
      −
      9
      q
      r
      −
      2
      q
      		)
    • at
    •  
    • p
    • =
    • (-5)
    • ,
    • q
    • =
    • 3
    • ,
    • r
    • =
    • 3
    •  
    • is
  • -3462
  • -3460
  • -3463
  • -3464
  • -3461
Question 5
5.
    • The value of the polynomial
    • (
      −
      8
      q
      r
      s
      +
      6
      r
      2
       
      		)
    • at
    •  
    • q
    • =
    • 5
    • ,
    • r
    • =
    • (-2)
    • ,
    • s
    • =
    • (-2)
    •  
    • is
  • -135
  • -139
  • -134
  • -137
  • -136
Question 6
6.
Which of the following algebraic expressions is a constant polynomial?
  • 2
  • 4
    m
    4
     
  • (
    −
    m
    4
     
    +
    4
    m
    		)
  • (
    8
    m
    3
     
    −
    3
    m
    2
     
    −
    9
    m
    		)
  • (
    3
    m
    4
     
    +
    2
    m
    3
     
    −
    2
    m
    2
     
    −
    5
    m
    −
    4
    		)
Question 7
7.
Which of the following algebraic expressions is a monomial?
  • (
    5
    j
    2
     
    k
    2
     
    l
    +
    9
    j
    k
    l
    −
    3
    j
    l
    2
     
    		)
  • (
    6
    j
    3
     
    l
    −
    4
    j
    2
     
    k
    2
     
    l
    3
     
    +
    7
    j
    2
     
    k
    2
     
    −
    6
    k
    		)
  • 2
    j
    3
     
    k
    l
    3
     
  • (
    −
    3
    j
    3
     
    k
    l
    −
    9
    j
    2
     
    k
    2
     
    l
    2
     
    −
    j
    2
     
    k
    l
    +
    j
    k
    2
     
    l
    		)
  • (
    −
    9
    j
    2
     
    k
    2
     
    l
    2
     
    −
    4
    j
    k
    3
     
    l
    		)
Question 8
8.
    • The coefficient of term
    • m
    • in polynomial
    • (
      −
      m
      2
       
      n
      2
       
      −
      5
      m
      2
       
      −
      2
      m
      n
      2
       
      +
      7
      m
      		)
    • is
  • 6
  • 5
  • 7
  • 8
  • 10
Question 9
9.
    • Which of the following is a like term of
    • 2
      i
    • ?
  • (
    −
    12
    i
    		)
  • 5
    i
    2
     
    j
    2
     
  • 2
    i
    2
     
  • 8
    j
    2
     
  • (
    −
    2
    i
    2
     
    j
    		)
Question 10
10.
    • The degree of polynomial
    • (
      4
      s
      t
      +
      8
      s
      −
      2
      t
      −
      1
      		)
    • is
  • 3
  • 4
  • 0
  • 1
  • 2