ICSE Board Practice

ICSE Grade VI - Fundamental Concepts of Algebra
Question 1
1.
    • The value of the polynomial
    • (
      9
      b
      3
       
      b
      2
       
      +
      3
      )
    • at
    •  
    • b
    • =
    • 4
    • is
  • -590
  • -589
  • -588
  • -587
  • -592
Question 2
2.
    • The value of the polynomial
    • (
      5
      g
      2
       
      h
      2
       
      6
      g
      h
      2
       
      +
      2
      g
      h
      )
    • at
    •  
    • g
    • =
    • (-3)
    • ,
    • h
    • =
    • 0
    • ,
    • i
    • =
    • 3
    •  
    • is
  • -2
  • 2
  • 0
  • 1
  • -1
Question 3
3.
    • Which of the following is not a factor of
    • 30
      x
      2
       
      y
      5
       
      z
    • ?
  • 3
    x
    y
    5
     
    z
  • 3
    y
    z
  • 3
    x
    2
     
    y
    5
     
  • 3
    x
    2
     
    y
    4
     
    z
  • 3
    x
    2
     
    y
    6
     
    z
Question 4
4.
Which of the following are polynomials?
a)
    • x
      2
       
b)
    • (
      x
      +
      y
      )
c)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
d)
    • x
      2
       
      +
      1

      x
      2
       
e)
    • x
      +
      1

      x
  • {d,b}
  • {e,c,a}
  • {a,b}
  • {d,b,a}
  • {c,a}
Question 5
5.
    • The value of the polynomial
    • (
      7
      z
      2
       
      6
      z
      1
      )
    • at
    •  
    • z
    • =
    • (-1)
    • is
  • -1
  • -2
  • -5
  • -3
  • 1
Question 6
6.
    • The coefficient of term
    • x
      2
       
      z
    • in polynomial
    • (
      4
      x
      2
       
      y
      2
       
      z
      +
      9
      x
      2
       
      z
      2
       
      8
      x
      2
       
      z
      +
      9
      x
      y
      z
      2
       
      +
      4
      y
      2
       
      z
      2
       
      )
    • is
  • -7
  • -8
  • -6
  • -9
  • -10
Question 7
7.
    • 18
      k
      2
      l
      2
      m
      4
    • =
  • 18
    k
    l
    l
    m
    m
    m
    m
  • 20
    k
    k
    l
    l
    m
    m
    m
    m
  • 16
    k
    k
    l
    l
    m
    m
    m
    m
  • 18
    k
    k
    k
    l
    l
    m
    m
    m
    m
  • 18
    k
    k
    l
    l
    m
    m
    m
    m
Question 8
8.
    • The degree of polynomial
    • (
      5
      j
      2
       
      k
      2
       
      l
      2
       
      +
      3
      j
      2
       
      k
      2
       
      l
      8
      j
      2
       
      +
      5
      j
      k
      l
      7
      l
      )
    • is
  • 5
  • 7
  • 6
  • 9
  • 3
Question 9
9.
    • The value of the polynomial
    • (
      d
      e
      2
       
      +
      e
      )
    • at
    •  
    • d
    • =
    • (-3)
    • ,
    • e
    • =
    • (-3)
    • ,
    • f
    • =
    • (-2)
    •  
    • is
  • -31
  • -28
  • -29
  • -32
  • -30
Question 10
10.
    • The degree of the polynomial
    • (
      7
      p
      5
       
      +
      p
      4
       
      p
      3
       
      +
      5
      p
      4
      )
    • is
  • 4
  • 8
  • 5
  • 3
  • 6