EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • Which of the following terms can be subtracted from
    • 6
      r
      s
      2
       
      q
    • ?
  • (i)
    2
    q
    2
     
    r
    s
  • (ii)
    6
    q
    2
     
    r
    2
     
    s
  • (iii)
    (
    q
    2
     
    r
    s
    2
     
    )
  • (iv)
    8
    q
    r
    s
    2
     
  • (v)
    (
    q
    r
    s
    )
Question 2
2.
    • The value of
    • 1

      3
      o
      p
    • (
      1

      3
      o
      p
      2
       
      +
      2

      3
      )
    • is
  • (i)
    (
    1

    9
    o
    2
     
    p
    3
     
    +
    2

    9
    o
    p
    )
  • (ii)
    1

    9
    o
    2
     
    p
    3
     
  • (iii)
    (
    1

    9
    o
    2
     
    p
    3
     
    +
    4

    9
    o
    p
    )
  • (iv)
    (
    1

    7
    o
    2
     
    p
    3
     
    +
    2

    9
    o
    p
    )
  • (v)
    (
    1

    11
    o
    2
     
    p
    3
     
    +
    2

    9
    o
    p
    )
Question 3
3.
    • The coefficient of term
    • n
    • in polynomial
    • (
      9
      n
      o
      +
      2
      n
      11
      o
      15
      )
    • is
  • (i)
    3
  • (ii)
    4
  • (iii)
    2
  • (iv)
    -1
  • (v)
    1
Question 4
4.
    • The value of
    • 8
      l
      m
      n
    • +
    • (
      4
      l
      m
      n
      )
    • is
  • (i)
    7
    l
    m
    n
  • (ii)
    3
    l
    m
    n
  • (iii)
    5
    l
    m
    n
  • (iv)
    4
    l
    m
    n
  • (v)
    l
    m
    n
Question 5
5.
    • (
      18
      x
      3
       
      +
      27
      x
      2
       
      13
      x
      +
      2
      )
    • ÷
    • (
      6
      x
      2
       
      +
      7
      x
      2
      )
    • =
  • (i)
    (
    3
    x
    +
    1
    )
  • (ii)
    (
    3
    x
    1
    )
  • (iii)
    (
    3
    x
    1
    )
  • (iv)
    (
    2
    x
    1
    )
  • (v)
    (
    4
    x
    1
    )
Question 6
6.
    • The value of
    • 9
      v
      3
       
    • 5
      v
      3
       
    • is
  • (i)
    7
    v
    3
     
  • (ii)
    v
    3
     
  • (iii)
    3
    v
    3
     
  • (iv)
    4
    v
    3
     
  • (v)
    5
    v
    3
     
Question 7
7.
    • The remainder when
    • 8
      w
    • is divided by
    • 7
    • is
  • (i)
    1
  • (ii)
    3
  • (iii)
    0
  • (iv)
    (
    3
    )
  • (v)
    (
    1
    )
Question 8
8.
    • Which of the following terms can be subtracted from
    • (
      4
      c
      )
    • ?
  • (i)
    (
    c
    )
  • (ii)
    9
    c
    4
     
  • (iii)
    2
  • (iv)
    (
    5
    c
    2
     
    )
  • (v)
    3
    c
    3
     
Question 9
9.
    • The degree of the polynomial
    • (
      3
      x
      +
      8
      )
    • is
  • (i)
    (-1)
  • (ii)
    2
  • (iii)
    1
  • (iv)
    4
  • (v)
    0
Question 10
10.
    • The value of the polynomial
    • (
      5
      c
      e
      2
       
      +
      5
      d
      e
      2
       
      +
      9
      d
      e
      )
    • at
    •  
    • c
    • =
    • (-5)
    • ,
    • d
    • =
    • (-2)
    • ,
    • e
    • =
    • 5
    •  
    • is
  • (i)
    283
  • (ii)
    284
  • (iii)
    285
  • (iv)
    286
  • (v)
    288
Question 11
11.
    • The sum of the expressions
    • (
      9
      q
      4
      )
    • ,
    • (
      4
      q
      3
      )
    • ,
    • (
      5
      q
      +
      3
      )
    • ,
    • (
      6
      q
      +
      4
      )
    • ,
    • (
      7
      q
      7
      )
    • is
  • (i)
    (
    24
    q
    7
    )
  • (ii)
    (
    23
    q
    4
    )
  • (iii)
    (
    22
    q
    7
    )
  • (iv)
    (
    23
    q
    7
    )
  • (v)
    (
    23
    q
    9
    )
Question 12
12.
    • The value of
    • 1

      2
      s
    • +
    • 4

      5
      s
    • is
  • (i)
    3

    2
    s
  • (ii)
    13

    12
    s
  • (iii)
    13

    10
    s
  • (iv)
    13

    8
    s
  • (v)
    11

    10
    s
Question 13
13.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    3
    m
    )
  • (ii)
    (
    m
    4
     
    2
    m
    3
     
    3
    m
    2
     
    8
    m
    +
    8
    )
  • (iii)
    (
    2
    m
    3
     
    +
    9
    m
    2
     
    )
  • (iv)
    (
    7
    m
    4
     
    2
    m
    3
     
    +
    4
    m
    2
     
    2
    m
    6
    )
  • (v)
    (
    3
    m
    3
     
    4
    m
    2
     
    5
    )
Question 14
14.
    • The value of the polynomial
    • (
      5
      f
      3
      )
    • at
    •  
    • f
    • =
    • 0
    • is
  • (i)
    -2
  • (ii)
    0
  • (iii)
    -4
  • (iv)
    -6
  • (v)
    -3
Question 15
15.
    • The product of the terms
    • 3
      q
    • ,
    • 5
      s
    • ,
    • (
      2
      r
      )
    • ,
    • 5
    • ,
    • (
      3
      )
    • is
  • (i)
    450
    q
    r
    s
  • (ii)
    447
    q
    r
    s
  • (iii)
    453
    q
    r
    s
  • (iv)
    449
    q
    r
    s
  • (v)
    451
    q
    r
    s
Question 16
16.
    • The value of
    • (
      6
      p
      +
      5
      )
    • +
    • (
      7
      p
      +
      3
      )
    • is
  • (i)
    (
    13
    p
    +
    8
    )
  • (ii)
    (
    12
    p
    +
    8
    )
  • (iii)
    (
    16
    p
    +
    8
    )
  • (iv)
    (
    11
    p
    +
    8
    )
  • (v)
    (
    14
    p
    +
    8
    )
Question 17
17.
    • Which of the following terms can be subtracted from
    • (
      2
      n
      2
       
      o
      p
      )
    • ?
  • (i)
    6
    n
    o
    p
  • (ii)
    6
    o
    2
     
  • (iii)
    (
    3
    n
    2
     
    o
    2
     
    p
    2
     
    )
  • (iv)
    6
    o
    p
  • (v)
    n
    2
     
    o
    p
Question 18
18.
    • The degree of polynomial
    • (
      b
      2
       
      c
      2
       
      d
      2
       
      +
      4
      b
      2
       
      c
      2
       
      d
      7
      b
      c
      3
       
      d
      2
       
      7
      b
      c
      2
       
      d
      2
       
      +
      2
      b
      c
      d
      2
       
      +
      6
      c
      )
    • is
  • (i)
    6
  • (ii)
    4
  • (iii)
    7
  • (iv)
    5
  • (v)
    9
Question 19
19.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    9
    )
  • (ii)
    (
    k
    3
     
    +
    3
    k
    2
     
    9
    k
    +
    1
    )
  • (iii)
    (
    6
    k
    2
    )
  • (iv)
    (
    7
    k
    2
     
    5
    k
    +
    7
    )
  • (v)
    (
    7
    k
    4
     
    +
    3
    k
    3
     
    +
    9
    k
    2
     
    2
    k
    +
    3
    )
Question 20
20.
    • The value of
    • (
      r
      )
    • 8
      r
    • is
  • (i)
    (
    9
    r
    2
     
    )
  • (ii)
    (
    7
    r
    2
     
    )
  • (iii)
    (
    11
    r
    2
     
    )
  • (iv)
    (
    5
    r
    2
     
    )
  • (v)
    (
    8
    r
    2
     
    )
Question 21
21.
    • The value of the polynomial
    • (
      6
      o
      p
      +
      3
      )
    • at
    •  
    • o
    • =
    • (-4)
    • ,
    • p
    • =
    • 0
    • ,
    • q
    • =
    • 5
    •  
    • is
  • (i)
    4
  • (ii)
    1
  • (iii)
    2
  • (iv)
    3
  • (v)
    6
Question 22
22.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    4
    u
  • (ii)
    0
  • (iii)
    (
    u
    +
    7
    )
  • (iv)
    (
    2
    u
    4
     
    7
    u
    3
     
    9
    u
    2
     
    +
    3
    u
    9
    )
  • (v)
    (
    7
    u
    2
     
    +
    7
    u
    +
    8
    )
Question 23
23.
    • The value of
    • (
      10
      e
      2
       
      f
      2
       
      f
      8
      )
    • +
    • (
      2
      e
      2
       
      f
      2
       
      +
      2
      e
      f
      2
      e
      +
      8
      f
      2
       
      )
    • is
  • (i)
    (
    3
    e
    2
     
    f
    2
     
    10
    e
    2
     
    +
    2
    e
    f
    2
    e
    +
    7
    f
    2
     
    f
    8
    )
  • (ii)
    (
    2
    e
    2
     
    f
    2
     
    12
    e
    2
     
    +
    2
    e
    f
    2
    e
    +
    7
    f
    2
     
    f
    8
    )
  • (iii)
    (
    2
    e
    2
     
    f
    2
     
    7
    e
    2
     
    +
    2
    e
    f
    2
    e
    +
    7
    f
    2
     
    f
    8
    )
  • (iv)
    (
    2
    e
    2
     
    f
    2
     
    10
    e
    2
     
    +
    2
    e
    f
    2
    e
    +
    7
    f
    2
     
    f
    8
    )
  • (v)
    (
    e
    2
     
    f
    2
     
    10
    e
    2
     
    +
    2
    e
    f
    2
    e
    +
    7
    f
    2
     
    f
    8
    )
Question 24
24.
    • The degree of polynomial
    • (
      7
      t
      u
      6
      t
      8
      u
      +
      2
      )
    • is
  • (i)
    2
  • (ii)
    0
  • (iii)
    1
  • (iv)
    3
  • (v)
    5
Question 25
25.
    • The value of
    • (
      8
      )
    • (
      2
      u
      )
    • 1
    • 9
    • is
  • (i)
    144
    u
  • (ii)
    142
    u
  • (iii)
    145
    u
  • (iv)
    146
    u
  • (v)
    143
    u
    Assignment Key

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