EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • The value of
    • (
      3
      f
      3
       
      )
    • 3
      f
      3
       
    • is
  • (i)
    (
    8
    f
    3
     
    )
  • (ii)
    (
    5
    f
    3
     
    )
  • (iii)
    (
    6
    f
    3
     
    )
  • (iv)
    (
    7
    f
    3
     
    )
  • (v)
    (
    3
    f
    3
     
    )
Question 2
2.
    • The value of
    • (
      3
      z
      2
       
      6
      z
      +
      6
      )
    • +
    • (
      2
      z
      2
       
      +
      3
      z
      7
      )
    • is
  • (i)
    (
    4
    z
    2
     
    3
    z
    1
    )
  • (ii)
    (
    2
    z
    2
     
    3
    z
    1
    )
  • (iii)
    (
    5
    z
    2
     
    3
    z
    1
    )
  • (iv)
    (
    7
    z
    2
     
    3
    z
    1
    )
  • (v)
    (
    6
    z
    2
     
    3
    z
    1
    )
Question 3
3.
    • The quotient when
    • (
      3
      n
      2
       
      +
      5
      n
      +
      4
      )
    • is divided by
    • (
      n
      +
      1
      )
    • is
  • (i)
    2
  • (ii)
    (
    2
    n
    +
    2
    )
  • (iii)
    (
    6
    n
    +
    2
    )
  • (iv)
    (
    4
    n
    +
    2
    )
  • (v)
    (
    3
    n
    +
    2
    )
Question 4
4.
    • The value of
    • 2

      3
      s
      4
       
    • +
    • 1

      3
      s
      4
       
    • +
    • 1

      2
      s
      4
       
    • +
    • 2

      5
      s
      4
       
    • is
  • (i)
    19

    10
    s
    4
     
  • (ii)
    17

    8
    s
    4
     
  • (iii)
    17

    10
    s
    4
     
  • (iv)
    21

    10
    s
    4
     
  • (v)
    7

    4
    s
    4
     
Question 5
5.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    2
    q
    4
     
    8
    )
  • (ii)
    (
    6
    q
    4
     
    +
    7
    q
    3
     
    4
    q
    2
     
    +
    7
    q
    3
    )
  • (iii)
    (
    2
    q
    3
     
    +
    2
    q
    2
     
    4
    q
    )
  • (iv)
    6
    q
    4
     
  • (v)
    0
Question 6
6.
    • The value of
    • (
      5
      f
      +
      2
      )
    • +
    • (
      8
      f
      +
      3
      )
    • is
  • (i)
    (
    3
    f
    +
    5
    )
  • (ii)
    (
    f
    +
    5
    )
  • (iii)
    (
    2
    f
    +
    5
    )
  • (iv)
    (
    6
    f
    +
    5
    )
  • (v)
    (
    4
    f
    +
    5
    )
Question 7
7.
    • Which of the following terms can be subtracted from
    • 9
      i
      2
       
      j
      2
       
      h
    • ?
  • (i)
    6
    h
    i
    2
     
    j
    2
     
  • (ii)
    2
    h
    i
    j
  • (iii)
    (
    5
    h
    i
    2
     
    j
    )
  • (iv)
    (
    3
    h
    2
     
    i
    2
     
    j
    )
  • (v)
    (
    2
    h
    2
     
    i
    j
    )
Question 8
8.
    • The value of
    • (
      7
      t
      +
      u
      +
      1
      )
    • +
    • (
      7
      t
      u
      +
      u
      3
      )
    • is
  • (i)
    (
    8
    t
    u
    7
    t
    +
    2
    u
    2
    )
  • (ii)
    (
    6
    t
    u
    7
    t
    +
    2
    u
    2
    )
  • (iii)
    (
    7
    t
    u
    9
    t
    +
    2
    u
    2
    )
  • (iv)
    (
    7
    t
    u
    7
    t
    +
    2
    u
    2
    )
  • (v)
    (
    7
    t
    u
    4
    t
    +
    2
    u
    2
    )
Question 9
9.
Which of the following are not polynomials?
a)
    • (
      6
      x
      +
      11
      y
      )

      (
      x
      12
      y
      )
b)
    • (
      6
      x
      2
       
      61
      x
      y
      132
      y
      2
       
      )
c)
    • 16
      x
      2
       
d)
    • √x
e)
    • (
      x
      12
      y
      )
  • (i)
    {c,d}
  • (ii)
    {c,d,a}
  • (iii)
    {e,b,a}
  • (iv)
    {a,d}
  • (v)
    {b,a}
Question 10
10.
    • The value of
    • 1

      2
      t
      u
    • 1

      2
      t
      u
    • is
  • (i)
    (
    3
    )
  • (ii)
    (
    1
    )
  • (iii)
    0
  • (iv)
    1
  • (v)
    3
Question 11
11.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    7
    e
    4
     
    +
    5
    e
    3
     
    7
    e
    2
     
    5
    e
    +
    4
    )
  • (ii)
    (
    2
    e
    3
     
    2
    e
    2
     
    4
    e
    5
    )
  • (iii)
    (
    6
    e
    +
    1
    )
  • (iv)
    8
  • (v)
    (
    7
    e
    2
     
    4
    e
    8
    )
Question 12
12.
    • The product of the terms
    • 2
    • ,
    • (
      2
      u
      )
    • ,
    • 5
      t
    • ,
    • (
      2
      )
    • ,
    • 2
    • is
  • (i)
    82
    t
    u
  • (ii)
    80
    t
    u
  • (iii)
    79
    t
    u
  • (iv)
    81
    t
    u
  • (v)
    78
    t
    u
Question 13
13.
    • The value of
    • (
      4
      u
      2
       
      )
    • +
    • 2
      u
      2
       
    • +
    • 2
      u
      2
       
    • is
  • (i)
    1
  • (ii)
    0
  • (iii)
    (
    2
    )
  • (iv)
    (
    1
    )
  • (v)
    3
Question 14
14.
    • The coefficient of term
    • j
    • in polynomial
    • (
      5
      j
      2
       
      7
      j
      +
      1
      )
    • is
  • (i)
    -10
  • (ii)
    -8
  • (iii)
    -5
  • (iv)
    -7
  • (v)
    -6
Question 15
15.
    • The sum of the terms
    • 6
      t
    • ,
    • 2
    • ,
    • 4
    • ,
    • (
      6
      )
    • ,
    • 7
      t
    • is
  • (i)
    15
    t
  • (ii)
    12
    t
  • (iii)
    11
    t
  • (iv)
    13
    t
  • (v)
    14
    t
Question 16
16.
    • The value of
    • 1

      2
      j
    • 2

      3
      j
      2
       
    • 2

      5
      j
    • is
  • (i)
    0
  • (ii)
    2

    17
    j
    4
     
  • (iii)
    2

    13
    j
    4
     
  • (iv)
    2

    15
    j
    4
     
  • (v)
    4

    15
    j
    4
     
Question 17
17.
    • Which of the following terms is a like term of
    • (
      3
      z
      4
       
      )
    • ?
  • (i)
    8
    z
    4
     
  • (ii)
    7
    z
    2
     
  • (iii)
    4
    z
    3
     
  • (iv)
    6
    z
  • (v)
    (
    8
    )
Question 18
18.
    • Which of the following terms can be added to
    • d
      2
       
      c
      e
    • ?
  • (i)
    (
    3
    c
    d
    2
     
    e
    )
  • (ii)
    3
    c
    d
    e
    2
     
  • (iii)
    2
    c
    2
     
    d
    e
  • (iv)
    3
    c
    d
    2
     
    e
    2
     
  • (v)
    (
    6
    c
    2
     
    d
    e
    2
     
    )
Question 19
19.
    • The quotient when
    • (
      3
      e
      +
      9
      )
    • is divided by
    • (
      e
      +
      3
      )
    • is
  • (i)
    2
  • (ii)
    4
  • (iii)
    6
  • (iv)
    3
  • (v)
    0
Question 20
20.
    • The degree of polynomial
    • (
      9
      q
      r
      7
      q
      4
      r
      6
      )
    • is
  • (i)
    1
  • (ii)
    4
  • (iii)
    0
  • (iv)
    2
  • (v)
    3
Question 21
21.
    • The value of the polynomial
    • (
      8
      i
      j
      9
      i
      +
      4
      j
      k
      )
    • at
    •  
    • i
    • =
    • 3
    • ,
    • j
    • =
    • (-3)
    • ,
    • k
    • =
    • 1
    •  
    • is
  • (i)
    34
  • (ii)
    32
  • (iii)
    33
  • (iv)
    36
  • (v)
    31
Question 22
22.
    • The expanded form of
    • (
      x
      +
      2
      )
    • (
      x
      7
      )
    • (
      x
      +
      8
      )
    • is
  • (i)
    (
    x
    3
     
    +
    3
    x
    2
     
    54
    x
    112
    )
  • (ii)
    (
    x
    3
     
    +
    3
    x
    2
     
    54
    x
    112
    )
  • (iii)
    (
    3
    x
    3
     
    +
    3
    x
    2
     
    54
    x
    112
    )
  • (iv)
    (
    3
    x
    2
     
    54
    x
    112
    )
  • (v)
    (
    2
    x
    3
     
    +
    3
    x
    2
     
    54
    x
    112
    )
Question 23
23.
    • The value of
    • (
      5
      d
      2
       
      7
      d
      +
      1
      )
    • (
      8
      d
      2
       
      8
      d
      +
      3
      )
    • is
  • (i)
    (
    d
    2
     
    +
    d
    2
    )
  • (ii)
    (
    6
    d
    2
     
    +
    d
    2
    )
  • (iii)
    (
    4
    d
    2
     
    +
    d
    2
    )
  • (iv)
    (
    2
    d
    2
     
    +
    d
    2
    )
  • (v)
    (
    3
    d
    2
     
    +
    d
    2
    )
Question 24
24.
    • The value of
    • 2

      3
      i
      j
    • 1

      2
      i
      j
    • 1

      4
      i
      j
    • 1

      2
      i
      j
    • is
  • (i)
    (
    7

    12
    i
    j
    )
  • (ii)
    (
    5

    12
    i
    j
    )
  • (iii)
    (
    1

    2
    i
    j
    )
  • (iv)
    (
    7

    10
    i
    j
    )
  • (v)
    (
    3

    4
    i
    j
    )
Question 25
25.
    • The value of the polynomial
    • (
      5
      h
      2
       
      i
      j
      2
       
      )
    • at
    •  
    • h
    • =
    • 1
    • ,
    • i
    • =
    • (-4)
    • ,
    • j
    • =
    • 4
    •  
    • is
  • (i)
    319
  • (ii)
    321
  • (iii)
    317
  • (iv)
    323
  • (v)
    320
    Assignment Key

  •  1) (iii)
  •  2) (iii)
  •  3) (v)
  •  4) (i)
  •  5) (v)
  •  6) (i)
  •  7) (i)
  •  8) (iv)
  •  9) (iv)
  •  10) (iii)
  •  11) (iv)
  •  12) (ii)
  •  13) (ii)
  •  14) (iv)
  •  15) (iv)
  •  16) (iv)
  •  17) (i)
  •  18) (i)
  •  19) (iv)
  •  20) (iv)
  •  21) (iii)
  •  22) (i)
  •  23) (v)
  •  24) (i)
  •  25) (v)