EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The value of
1
2
d
e
−
1
3
d
e
−
2
3
d
e
−
1
2
d
e
is
(i)
(
−
2
d
e
)
(ii)
2
d
e
(iii)
(
−
4
d
e
)
(iv)
(
−
d
e
)
(v)
0
Question
2
2.
Which of the following algebraic expressions is a monomial?
(i)
(
4
z
4
+
8
z
3
−
3
z
2
−
4
z
+
1
)
(ii)
(
8
z
4
+
3
z
2
−
2
z
)
(iii)
(
7
z
3
+
1
)
(iv)
5
z
(v)
(
−
8
z
4
−
z
3
+
6
z
2
+
3
z
+
4
)
Question
3
3.
The value of
9
r
s
✕
7
r
s
✕
(
−
5
r
)
✕
8
r
is
(i)
(
−
2517
r
4
s
2
)
(ii)
(
−
2522
r
4
s
2
)
(iii)
(
−
2520
r
4
s
2
)
(iv)
(
−
2519
r
4
s
2
)
(v)
(
−
2521
r
4
s
2
)
Question
4
4.
The value of
8
k
✕
(
−
2
k
)
is
(i)
(
−
13
k
2
)
(ii)
(
−
16
k
2
)
(iii)
(
−
15
k
2
)
(iv)
(
−
17
k
2
)
(v)
(
−
18
k
2
)
Question
5
5.
The value of
1
5
✕
1
2
w
✕
1
3
w
✕
3
5
w
is
(i)
1
48
w
3
(ii)
(
−
1
50
w
3
)
(iii)
3
50
w
3
(iv)
1
50
w
3
(v)
1
52
w
3
Question
6
6.
Which of the following algebraic expressions is a linear polynomial?
(i)
(
−
5
c
2
−
2
c
−
2
)
(ii)
(
−
4
c
4
−
3
c
3
+
8
c
2
−
6
c
−
8
)
(iii)
(
8
c
3
+
6
c
2
+
2
c
+
6
)
(iv)
(
−
1
)
(v)
(
c
+
8
)
Question
7
7.
The value of
1
5
l
m
n
+
1
4
l
m
n
is
(i)
9
20
l
m
n
(ii)
7
20
l
m
n
(iii)
1
2
l
m
n
(iv)
11
20
l
m
n
(v)
9
22
l
m
n
Question
8
8.
The value of
2
j
k
l
(
−
5
j
k
l
+
1
)
is
(i)
(
−
9
j
2
k
2
l
2
+
2
j
k
l
)
(ii)
(
−
10
j
2
k
2
l
2
)
(iii)
(
−
11
j
2
k
2
l
2
+
2
j
k
l
)
(iv)
(
−
10
j
2
k
2
l
2
+
2
j
k
l
)
(v)
(
−
10
j
2
k
2
l
2
+
5
j
k
l
)
Question
9
9.
The expanded form of
(
2
x
+
2
)
(
x
−
6
)
(
x
−
5
)
is
(i)
(
2
x
3
−
20
x
2
+
38
x
+
60
)
(ii)
(
−
x
3
−
20
x
2
+
38
x
+
60
)
(iii)
(
x
3
−
20
x
2
+
38
x
+
60
)
(iv)
(
4
x
3
−
20
x
2
+
38
x
+
60
)
(v)
(
3
x
3
−
20
x
2
+
38
x
+
60
)
Question
10
10.
The value of
(
−
s
−
6
)
✕
(
−
2
s
+
4
)
is
(i)
(
2
s
2
+
8
s
−
24
)
(ii)
(
3
s
2
+
8
s
−
24
)
(iii)
(
5
s
2
+
8
s
−
24
)
(iv)
(
s
2
+
8
s
−
24
)
(v)
(
−
s
2
+
8
s
−
24
)
Question
11
11.
The value of the polynomial
(
−
8
b
c
2
+
5
b
−
6
d
)
at
b
=
(-5)
,
c
=
(-2)
,
d
=
3
is
(i)
120
(ii)
115
(iii)
117
(iv)
118
(v)
116
Question
12
12.
Which of the following are not polynomials?
a)
144
x
2
b)
(
10
x
+
2
y
)
c)
x
+
1
x
d)
(
10
x
+
2
y
)
(
6
x
−
y
)
e)
(
60
x
2
+
2
x
y
−
2
y
2
)
(i)
{a,c}
(ii)
{e,a,c}
(iii)
{b,d}
(iv)
{c,d}
(v)
{b,d,c}
Question
13
13.
The quotient when
(
4
i
5
+
3
i
4
+
8
i
3
−
9
i
2
+
3
i
+
1
)
is divided by
(
i
−
9
)
is
(i)
(
4
i
4
+
39
i
3
+
359
i
2
+
3222
i
+
29001
)
(ii)
(
7
i
4
+
39
i
3
+
359
i
2
+
3222
i
+
29001
)
(iii)
(
3
i
4
+
39
i
3
+
359
i
2
+
3222
i
+
29001
)
(iv)
(
5
i
4
+
39
i
3
+
359
i
2
+
3222
i
+
29001
)
(v)
(
i
4
+
39
i
3
+
359
i
2
+
3222
i
+
29001
)
Question
14
14.
The degree of the polynomial
(
5
s
+
5
)
is
(i)
(-2)
(ii)
1
(iii)
4
(iv)
0
(v)
2
Question
15
15.
The value of
3
5
n
(
2
5
l
2
n
+
1
3
l
m
2
n
+
1
2
)
is
(i)
(
6
25
l
2
n
2
+
1
5
l
m
2
n
2
+
3
10
n
)
(ii)
(
2
9
l
2
n
2
+
1
5
l
m
2
n
2
+
3
10
n
)
(iii)
(
6
23
l
2
n
2
+
1
5
l
m
2
n
2
+
3
10
n
)
(iv)
(
6
25
l
2
n
2
−
1
5
l
m
2
n
2
+
3
10
n
)
(v)
(
6
25
l
2
n
2
+
3
5
l
m
2
n
2
+
3
10
n
)
Question
16
16.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
(
2
x
3
+
3
x
2
+
6
x
+
9
)
(ii)
(
−
3
x
+
8
)
(iii)
(
−
5
x
5
−
5
x
4
−
x
3
−
7
x
2
−
x
)
(iv)
(
−
5
x
2
−
4
x
−
9
)
(v)
(
−
1
)
Question
17
17.
Which of the following terms can be subtracted from
(
−
8
e
)
?
(i)
(
−
2
)
(ii)
3
g
(iii)
(
−
5
f
g
)
(iv)
4
e
(v)
(
−
3
e
f
)
Question
18
18.
The remainder when
(
7
u
2
−
7
u
+
7
)
is divided by
(
u
−
4
)
is
(i)
94
(ii)
89
(iii)
92
(iv)
90
(v)
91
Question
19
19.
The value of
(
8
m
n
o
+
6
m
−
1
)
+
(
−
2
m
n
o
+
6
n
−
4
)
is
(i)
(
6
m
n
o
+
3
m
+
6
n
−
5
)
(ii)
(
6
m
n
o
+
9
m
+
6
n
−
5
)
(iii)
(
6
m
n
o
+
6
m
+
6
n
−
5
)
(iv)
(
7
m
n
o
+
6
m
+
6
n
−
5
)
(v)
(
5
m
n
o
+
6
m
+
6
n
−
5
)
Question
20
20.
The coefficient of term
p
q
2
in polynomial
(
5
o
3
q
2
+
5
o
2
p
q
+
o
2
q
3
−
2
o
q
3
+
7
p
3
q
+
2
p
2
q
2
−
2
p
q
2
)
is
(i)
-5
(ii)
-3
(iii)
-2
(iv)
1
(v)
-1
Question
21
21.
The sum of the expressions
(
2
d
−
7
)
,
(
5
d
+
2
)
,
(
6
d
+
2
)
,
(
5
d
−
6
)
,
(
−
8
d
−
5
)
is
(i)
(
10
d
−
14
)
(ii)
(
11
d
−
14
)
(iii)
(
9
d
−
14
)
(iv)
(
10
d
−
16
)
(v)
(
10
d
−
11
)
Question
22
22.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
−
3
p
3
−
p
2
−
4
p
+
5
)
(ii)
(
6
p
2
−
5
p
−
7
)
(iii)
(
7
p
+
7
)
(iv)
(
−
6
)
(v)
(
p
5
−
7
p
4
−
5
p
3
+
4
p
2
−
1
)
Question
23
23.
The sum of the terms
3
,
3
,
5
,
2
,
6
e
is
(i)
(
6
e
+
11
)
(ii)
(
6
e
+
13
)
(iii)
(
6
e
+
15
)
(iv)
(
5
e
+
13
)
(v)
(
7
e
+
13
)
Question
24
24.
The value of
(
8
w
2
−
6
w
−
5
)
−
(
−
3
w
5
+
w
4
+
5
w
)
−
(
−
w
4
+
6
w
3
−
5
)
is
(i)
(
2
w
5
−
6
w
3
+
8
w
2
−
11
w
)
(ii)
(
3
w
5
−
6
w
3
+
8
w
2
−
11
w
)
(iii)
(
−
6
w
3
+
8
w
2
−
11
w
)
(iv)
(
4
w
5
−
6
w
3
+
8
w
2
−
11
w
)
(v)
(
5
w
5
−
6
w
3
+
8
w
2
−
11
w
)
Question
25
25.
Which of the following are not polynomials?
a)
(
7
x
−
3
y
)
b)
144
x
2
c)
(
63
x
2
+
57
x
y
−
36
y
2
)
d)
√x
e)
(
9
x
+
12
y
)
(
7
x
−
3
y
)
(i)
{b,e}
(ii)
{c,a,d}
(iii)
{a,d}
(iv)
{b,e,d}
(v)
{d,e}
Assignment Key
1) (iv)
2) (iv)
3) (iii)
4) (ii)
5) (iv)
6) (v)
7) (i)
8) (iv)
9) (i)
10) (i)
11) (iii)
12) (iv)
13) (i)
14) (ii)
15) (i)
16) (iv)
17) (iv)
18) (v)
19) (iii)
20) (iii)
21) (i)
22) (iv)
23) (ii)
24) (ii)
25) (v)
