EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • The value of
    • (
      8
      j
      2
       
      k
      2
       
      )
    • +
    • j
      2
       
      k
      2
       
    • +
    • 2
      j
      2
       
      k
      2
       
    • +
    • 2
      j
      2
       
      k
      2
       
    • is
  • (i)
    (
    4
    j
    2
     
    k
    2
     
    )
  • (ii)
    (
    3
    j
    2
     
    k
    2
     
    )
  • (iii)
    (
    j
    2
     
    k
    2
     
    )
  • (iv)
    (
    5
    j
    2
     
    k
    2
     
    )
  • (v)
    (
    2
    j
    2
     
    k
    2
     
    )
Question 2
2.
    • The value of
    • 1

      3
    • 1

      2
      v
    • 1

      2
    • is
  • (i)
    1

    4
    v
  • (ii)
    1

    14
    v
  • (iii)
    1

    12
    v
  • (iv)
    (
    1

    12
    v
    )
  • (v)
    1

    10
    v
Question 3
3.
    • The remainder when
    • (
      9
      m
      2
       
      +
      2
      m
      )
    • is divided by
    • (
      m
      1
      )
    • is
  • (i)
    11
  • (ii)
    10
  • (iii)
    14
  • (iv)
    12
  • (v)
    8
Question 4
4.
    • The value of the polynomial
    • (
      4
      v
      2
       
      w
      x
      +
      5
      v
      w
      2
       
      9
      w
      x
      2
       
      )
    • at
    •  
    • v
    • =
    • 0
    • ,
    • w
    • =
    • 1
    • ,
    • x
    • =
    • (-5)
    •  
    • is
  • (i)
    -223
  • (ii)
    -225
  • (iii)
    -228
  • (iv)
    -224
  • (v)
    -226
Question 5
5.
    • The value of
    • 1

      2
      j
      k
    • 1

      2
    • 1

      3
      k
    • 1

      3
      k
    • is
  • (i)
    1

    36
    j
    k
    3
     
  • (ii)
    1

    34
    j
    k
    3
     
  • (iii)
    (
    1

    36
    j
    k
    3
     
    )
  • (iv)
    1

    38
    j
    k
    3
     
  • (v)
    1

    12
    j
    k
    3
     
Question 6
6.
    • Which of the following terms can be subtracted from
    • (
      4
      k
      2
       
      l
      2
       
      j
      2
       
      )
    • ?
  • (i)
    (
    2
    j
    2
     
    k
    l
    2
     
    )
  • (ii)
    (
    4
    j
    2
     
    k
    2
     
    l
    2
     
    )
  • (iii)
    (
    j
    2
     
    k
    l
    )
  • (iv)
    4
    j
    k
    2
     
    l
    2
     
  • (v)
    (
    9
    j
    2
     
    k
    2
     
    l
    )
Question 7
7.
    • The value of
    • 6
      a
      2
       
    • +
    • (
      5
      a
      2
       
      )
    • +
    • (
      8
      a
      2
       
      )
    • is
  • (i)
    (
    7
    a
    2
     
    )
  • (ii)
    (
    8
    a
    2
     
    )
  • (iii)
    (
    5
    a
    2
     
    )
  • (iv)
    (
    9
    a
    2
     
    )
  • (v)
    (
    6
    a
    2
     
    )
Question 8
8.
    • Which of the following terms can be subtracted from
    • (
      7
      c
      2
       
      )
    • ?
  • (i)
    4
    c
    3
     
  • (ii)
    (
    6
    c
    )
  • (iii)
    c
    2
     
  • (iv)
    6
  • (v)
    2
    c
    4
     
Question 9
9.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    6
    )
  • (ii)
    (
    7
    t
    3
     
    +
    t
    2
     
    +
    7
    t
    +
    5
    )
  • (iii)
    (
    t
    2
     
    7
    t
    +
    8
    )
  • (iv)
    (
    8
    t
    5
     
    +
    5
    t
    4
     
    6
    t
    3
     
    3
    t
    2
    )
  • (v)
    (
    6
    t
    2
    )
Question 10
10.
    • Which of the following terms can be subtracted from
    • 2
    • ?
  • (i)
    7
    k
    2
     
    l
    2
     
  • (ii)
    (
    8
    j
    2
     
    k
    )
  • (iii)
    (
    9
    j
    2
     
    k
    2
     
    l
    2
     
    )
  • (iv)
    8
    j
    2
     
    k
    2
     
    l
  • (v)
    (
    5
    )
Question 11
11.
    • Which of the following is a like term of
    • (
      3
      u
      2
       
      v
      t
      )
    • ?
  • (i)
    (
    3
    t
    u
    2
     
    v
    2
     
    )
  • (ii)
    5
    t
    u
    2
     
    v
  • (iii)
    (
    4
    t
    u
    v
    )
  • (iv)
    (
    t
    2
     
    u
    2
     
    v
    2
     
    )
  • (v)
    (
    5
    t
    u
    v
    2
     
    )
Question 12
12.
    • The value of
    • (
      8
      x
      4
       
      +
      9
      x
      2
       
      +
      2
      x
      )
    • (
      4
      x
      2
       
      7
      x
      +
      6
      )
    • (
      7
      x
      4
       
      6
      x
      2
       
      x
      )
    • is
  • (i)
    (
    11
    x
    2
     
    +
    10
    x
    6
    )
  • (ii)
    (
    2
    x
    4
     
    +
    11
    x
    2
     
    +
    10
    x
    6
    )
  • (iii)
    (
    3
    x
    4
     
    +
    11
    x
    2
     
    +
    10
    x
    6
    )
  • (iv)
    (
    x
    4
     
    +
    11
    x
    2
     
    +
    10
    x
    6
    )
  • (v)
    (
    x
    4
     
    +
    11
    x
    2
     
    +
    10
    x
    6
    )
Question 13
13.
    • The sum of the expressions
    • (
      3
      w
      8
      )
    • ,
    • (
      5
      w
      6
      )
    • ,
    • (
      9
      w
      19
      )
    • ,
    • (
      4
      w
      2
      )
    • ,
    • (
      4
      w
      +
      7
      )
    • is
  • (i)
    (
    9
    w
    26
    )
  • (ii)
    (
    9
    w
    30
    )
  • (iii)
    (
    8
    w
    28
    )
  • (iv)
    (
    9
    w
    28
    )
  • (v)
    (
    10
    w
    28
    )
Question 14
14.
    • The value of
    • (
      5
      b
      c
      )
    • +
    • 5
      b
      c
    • is
  • (i)
    1
  • (ii)
    3
  • (iii)
    0
  • (iv)
    (
    1
    )
  • (v)
    (
    3
    )
Question 15
15.
    • The value of
    • (
      3
      n
      +
      3
      o
      5
      )
    • +
    • (
      7
      n
      o
      n
      9
      )
    • is
  • (i)
    (
    7
    n
    o
    n
    +
    3
    o
    14
    )
  • (ii)
    (
    7
    n
    o
    +
    4
    n
    +
    3
    o
    14
    )
  • (iii)
    (
    6
    n
    o
    +
    2
    n
    +
    3
    o
    14
    )
  • (iv)
    (
    7
    n
    o
    +
    2
    n
    +
    3
    o
    14
    )
  • (v)
    (
    8
    n
    o
    +
    2
    n
    +
    3
    o
    14
    )
Question 16
16.
    • The sum of the terms
    • (
      5
      f
      )
    • ,
    • (
      7
      f
      )
    • ,
    • 8
      e
      f
    • ,
    • (
      5
      e
      f
      )
    • ,
    • (
      9
      e
      )
    • is
  • (i)
    (
    3
    e
    f
    9
    e
    12
    f
    )
  • (ii)
    (
    3
    e
    f
    6
    e
    12
    f
    )
  • (iii)
    (
    2
    e
    f
    9
    e
    12
    f
    )
  • (iv)
    (
    4
    e
    f
    9
    e
    12
    f
    )
  • (v)
    (
    3
    e
    f
    12
    e
    12
    f
    )
Question 17
17.
    • The value of
    • (
      8
      x
      9
      )
    • (
      3
      x
      +
      2
      )
    • is
  • (i)
    (
    22
    x
    2
     
    +
    43
    x
    18
    )
  • (ii)
    (
    27
    x
    2
     
    +
    43
    x
    18
    )
  • (iii)
    (
    23
    x
    2
     
    +
    43
    x
    18
    )
  • (iv)
    (
    25
    x
    2
     
    +
    43
    x
    18
    )
  • (v)
    (
    24
    x
    2
     
    +
    43
    x
    18
    )
Question 18
18.
    • The value of
    • (
      9
      s
      +
      8
      )
    • (
      2
      s
      t
      +
      t
      )
    • is
  • (i)
    (
    17
    s
    2
     
    t
    7
    s
    t
    +
    8
    t
    )
  • (ii)
    (
    19
    s
    2
     
    t
    7
    s
    t
    +
    8
    t
    )
  • (iii)
    (
    18
    s
    2
     
    t
    9
    s
    t
    +
    8
    t
    )
  • (iv)
    (
    18
    s
    2
     
    t
    7
    s
    t
    +
    8
    t
    )
  • (v)
    (
    18
    s
    2
     
    t
    4
    s
    t
    +
    8
    t
    )
Question 19
19.
    • The remainder when
    • (
      7
      z
      4
       
      +
      6
      z
      3
       
      +
      6
      z
      2
       
      6
      z
      +
      9
      )
    • is divided by
    • (
      z
      +
      4
      )
    • is
  • (i)
    1538
  • (ii)
    1539
  • (iii)
    1535
  • (iv)
    1537
  • (v)
    1536
Question 20
20.
    • The value of
    • 3

      4
      g
      h
      i
    • +
    • 1

      5
      g
      h
      i
    • is
  • (i)
    19

    20
    g
    h
    i
  • (ii)
    21

    20
    g
    h
    i
  • (iii)
    19

    22
    g
    h
    i
  • (iv)
    19

    18
    g
    h
    i
  • (v)
    17

    20
    g
    h
    i
Question 21
21.
    • The product of the terms
    • (
      3
      v
      )
    • ,
    • (
      5
      v
      w
      )
    • ,
    • (
      3
      u
      v
      )
    • ,
    • 5
    • ,
    • (
      5
      )
    • is
  • (i)
    1127
    u
    v
    3
     
    w
  • (ii)
    1122
    u
    v
    3
     
    w
  • (iii)
    1124
    u
    v
    3
     
    w
  • (iv)
    1126
    u
    v
    3
     
    w
  • (v)
    1125
    u
    v
    3
     
    w
Question 22
22.
    • The value of
    • 2

      5
      k
    • 2

      3
      k
    • is
  • (i)
    (
    2

    5
    k
    )
  • (ii)
    (
    2

    15
    k
    )
  • (iii)
    (
    4

    15
    k
    )
  • (iv)
    (
    4

    13
    k
    )
  • (v)
    (
    4

    17
    k
    )
Question 23
23.
    • The quotient when
    • (
      6
      u
      3
      )
    • is divided by
    • (
      u
      7
      )
    • is
  • (i)
    (
    5
    )
  • (ii)
    (
    3
    )
  • (iii)
    (
    8
    )
  • (iv)
    (
    6
    )
  • (v)
    (
    7
    )
Question 24
24.
    • The value of
    • 1

      4
    • (
      1

      2
      h
      +
      2

      3
      )
    • is
  • (i)
    (
    1

    8
    h
    +
    1

    6
    )
  • (ii)
    (
    1

    8
    h
    1

    6
    )
  • (iii)
    (
    1

    6
    h
    +
    1

    6
    )
  • (iv)
    (
    1

    8
    h
    +
    1

    2
    )
  • (v)
    (
    1

    10
    h
    +
    1

    6
    )
Question 25
25.
    • Which of the following terms can be added to
    • 7
    • ?
  • (i)
    (
    8
    )
  • (ii)
    (
    6
    g
    h
    )
  • (iii)
    8
    f
  • (iv)
    (
    6
    f
    h
    )
  • (v)
    6
    f
    g
    Assignment Key

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