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 monomial?
  • (
    −
    7
    e
    3
     
    f
    3
     
    +
    8
    e
    f
    3
     
    g
    		)
  • (
    −
    3
    e
    f
    2
     
    g
    		)
  • (
    e
    2
     
    f
    g
    3
     
    +
    5
    e
    2
     
    g
    2
     
    −
    7
    f
    3
     
    g
    −
    2
    		)
  • (
    −
    e
    3
     
    f
    2
     
    g
    3
     
    −
    3
    e
    3
     
    f
    g
    +
    9
    e
    f
    3
     
    g
    3
     
    +
    2
    f
    3
     
    g
    3
     
    		)
  • (
    −
    2
    e
    3
     
    f
    2
     
    g
    3
     
    −
    3
    e
    3
     
    f
    2
     
    −
    9
    e
    2
     
    f
    2
     
    g
    		)
Question 2
2.
Which of the following algebraic expressions is a binomial?
  • (
    2
    e
    4
     
    +
    5
    e
    3
     
    −
    9
    e
    2
     
    −
    4
    e
    −
    5
    		)
  • e
  • (
    −
    6
    e
    2
     
    +
    4
    e
    		)
  • (
    3
    e
    4
     
    −
    5
    e
    3
     
    −
    4
    e
    2
     
    −
    e
    +
    5
    		)
  • (
    6
    e
    4
     
    +
    4
    e
    2
     
    −
    4
    		)
Question 3
3.
    • The value of the polynomial
    • (
      −
      9
      t
      2
       
      u
      2
       
      +
      9
      t
      v
      2
       
      		)
    • at
    •  
    • t
    • =
    • (-2)
    • ,
    • u
    • =
    • 5
    • ,
    • v
    • =
    • (-2)
    •  
    • is
  • -969
  • -972
  • -974
  • -971
  • -973
Question 4
4.
    • The degree of the polynomial
    • (
      −
      7
      y
      −
      2
      		)
    • is
  • 1
  • (-1)
  • 2
  • 0
  • 4
Question 5
5.
    • Which of the following is an irreducible factor of
    • 12
      x
      5
       
      y
      z
      5
       
    • ?
  • y
  • x
    3
     
    y
  • y
    2
     
    z
  • x
    3
     
    y
    2
     
    z
    5
     
  • x
    z
    5
     
Question 6
6.
    • Which of the following is a factor of
    • (
      2
      x
      2
       
      +
      y
      z
      		)
    • ?
  • 2
    y
  • 2
    x
    2
     
  • 2
    x
    z
  • y
    z
  • no factors
Question 7
7.
    • The degree of the polynomial
    • (
      9
      i
      5
       
      −
      i
      4
       
      +
      9
      i
      3
       
      −
      5
      i
      2
       
      +
      9
      		)
    • is
  • 3
  • 4
  • 5
  • 8
  • 6
Question 8
8.
Which of the following algebraic expressions is a binomial?
  • (
    2
    b
    3
     
    c
    2
     
    +
    7
    b
    2
     
    c
    3
     
    d
    3
     
    −
    3
    b
    c
    3
     
    d
    2
     
    		)
  • (
    7
    b
    3
     
    c
    3
     
    d
    +
    4
    b
    2
     
    c
    3
     
    d
    3
     
    +
    2
    b
    c
    3
     
    d
    3
     
    −
    6
    b
    c
    3
     
    d
    		)
  • (
    −
    7
    b
    c
    d
    2
     
    +
    9
    c
    3
     
    d
    3
     
    +
    8
    d
    2
     
    +
    6
    		)
  • (
    2
    b
    2
     
    c
    d
    +
    2
    c
    3
     
    d
    2
     
    		)
  • 9
    b
    2
     
    c
    3
     
    d
    2
     
Question 9
9.
    • Which of the following is not an irreducible factor of
    • (
      x
      2
       
      y
      +
      x
      y
      2
       
      +
      x
      y
      		)
    • ?
  • x
    y
  • y
  • (
    x
    +
    y
    +
    1
    		)
  • x
Question 10
10.
Which of the following are not polynomials?
a)
    • 64
      x
      2
       
      +
      1
      64
      x
      2
       
b)
    • (
      4
      x
      +
      4
      y
      		)
c)
    • √x
d)
    • 64
      x
      2
       
e)
    • (
      9
      x
      −
      y
      		)
  • {b,a}
  • {a,c}
  • {d,c,a}
  • {d,c}
  • {e,b,a}