EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following algebraic expressions is a linear polynomial?
(i)
(
6
w
+
3
)
(ii)
(
−
1
)
(iii)
(
3
w
3
−
3
w
2
−
5
w
−
8
)
(iv)
(
−
6
w
5
+
8
w
4
−
5
w
3
−
9
w
2
−
7
)
(v)
(
4
w
2
−
2
w
−
5
)
Question
2
2.
Which of the following algebraic expressions is a binomial?
(i)
(
−
6
b
4
)
(ii)
(
−
2
b
4
−
7
b
3
+
5
b
2
−
3
b
+
4
)
(iii)
(
8
b
4
−
b
3
+
8
b
2
−
7
b
−
5
)
(iv)
(
5
b
3
−
b
2
)
(v)
(
−
4
b
4
−
3
b
2
−
2
b
)
Question
3
3.
The remainder when
(
8
t
3
−
t
2
+
3
)
is divided by
(
t
2
+
14
t
+
48
)
is
(i)
(
1200
t
+
5427
)
(ii)
(
1199
t
+
5427
)
(iii)
(
1196
t
+
5427
)
(iv)
(
1198
t
+
5427
)
(v)
(
1197
t
+
5427
)
Question
4
4.
The value of
2
3
k
2
l
2
+
2
3
k
2
l
2
+
1
4
k
2
l
2
+
3
5
k
2
l
2
is
(i)
131
60
k
2
l
2
(ii)
127
58
k
2
l
2
(iii)
135
62
k
2
l
2
(iv)
133
60
k
2
l
2
(v)
43
20
k
2
l
2
Question
5
5.
The value of the polynomial
(
−
2
c
2
−
4
c
+
4
)
at
c
=
4
is
(i)
-44
(ii)
-43
(iii)
-42
(iv)
-45
(v)
-46
Question
6
6.
The value of
3
4
p
(
3
5
p
q
+
1
3
q
2
)
is
(i)
(
9
20
p
2
q
+
3
4
p
q
2
)
(ii)
(
9
20
p
2
q
+
1
4
p
q
2
)
(iii)
(
1
2
p
2
q
+
1
4
p
q
2
)
(iv)
(
9
20
p
2
q
−
1
4
p
q
2
)
(v)
(
9
22
p
2
q
+
1
4
p
q
2
)
Question
7
7.
Which of the following terms can be added to
4
p
?
(i)
(
−
5
n
)
(ii)
(
−
2
)
(iii)
o
(iv)
2
n
o
p
(v)
p
Question
8
8.
The degree of the polynomial
(
9
w
2
+
8
w
+
4
)
is
(i)
5
(ii)
3
(iii)
0
(iv)
1
(v)
2
Question
9
9.
The coefficient of term
s
2
in polynomial
(
−
2
s
2
t
2
−
7
s
2
+
2
s
t
2
+
4
s
t
)
is
(i)
-7
(ii)
-10
(iii)
-8
(iv)
-4
(v)
-6
Question
10
10.
Which of the following algebraic expressions is a constant polynomial?
(i)
6
c
4
(ii)
(
−
3
c
3
−
5
c
2
+
7
)
(iii)
(
8
c
4
+
7
c
3
−
2
c
2
−
c
−
9
)
(iv)
5
(v)
(
−
c
4
+
7
c
3
)
Question
11
11.
The value of
8
r
2
✕
5
r
2
is
(i)
37
r
4
(ii)
39
r
4
(iii)
42
r
4
(iv)
40
r
4
(v)
41
r
4
Question
12
12.
The value of
1
2
k
l
(
1
2
k
2
+
3
4
k
l
+
4
5
m
2
)
is
(i)
(
1
4
k
3
l
+
5
8
k
2
l
2
+
2
5
k
l
m
2
)
(ii)
(
1
4
k
3
l
+
3
8
k
2
l
2
+
2
5
k
l
m
2
)
(iii)
(
1
4
k
3
l
+
1
8
k
2
l
2
+
2
5
k
l
m
2
)
(iv)
(
1
2
k
3
l
+
3
8
k
2
l
2
+
2
5
k
l
m
2
)
(v)
(
1
6
k
3
l
+
3
8
k
2
l
2
+
2
5
k
l
m
2
)
Question
13
13.
Which of the following algebraic expressions is a monomial?
(i)
(
−
5
n
2
o
p
3
)
(ii)
(
3
n
2
o
2
+
5
n
2
p
−
2
n
2
+
6
n
o
3
)
(iii)
(
2
n
3
o
2
p
3
+
3
o
3
p
3
)
(iv)
(
4
n
2
o
p
+
8
n
o
2
p
3
−
2
o
p
2
)
(v)
(
9
n
2
o
3
p
+
6
n
2
p
2
−
6
n
o
3
p
+
2
n
p
)
Question
14
14.
The value of
(
−
n
5
−
8
n
2
−
9
n
)
−
(
−
2
n
3
+
n
2
+
7
)
−
(
7
n
5
+
4
n
4
+
8
)
is
(i)
(
−
11
n
5
−
4
n
4
+
2
n
3
−
9
n
2
−
9
n
−
15
)
(ii)
(
−
8
n
5
−
4
n
4
+
2
n
3
−
9
n
2
−
9
n
−
15
)
(iii)
(
−
7
n
5
−
4
n
4
+
2
n
3
−
9
n
2
−
9
n
−
15
)
(iv)
(
−
9
n
5
−
4
n
4
+
2
n
3
−
9
n
2
−
9
n
−
15
)
(v)
(
−
6
n
5
−
4
n
4
+
2
n
3
−
9
n
2
−
9
n
−
15
)
Question
15
15.
The remainder when
(
4
r
4
−
3
r
3
+
5
r
2
−
4
r
+
2
)
is divided by
(
r
−
1
)
is
(i)
4
(ii)
2
(iii)
5
(iv)
3
(v)
7
Question
16
16.
The value of
k
✕
k
✕
k
is
(i)
0
(ii)
k
3
(iii)
2
k
3
(iv)
(
−
k
3
)
(v)
4
k
3
Question
17
17.
The value of
3
4
s
2
t
u
✕
1
2
t
2
is
(i)
3
8
s
2
t
3
u
(ii)
1
8
s
2
t
3
u
(iii)
5
8
s
2
t
3
u
(iv)
3
10
s
2
t
3
u
(v)
1
2
s
2
t
3
u
Question
18
18.
The value of
(
8
p
2
−
2
)
✕
(
−
8
p
2
+
6
p
)
✕
(
p
+
4
)
is
(i)
(
−
65
p
5
−
208
p
4
+
208
p
3
+
52
p
2
−
48
p
)
(ii)
(
−
66
p
5
−
208
p
4
+
208
p
3
+
52
p
2
−
48
p
)
(iii)
(
−
61
p
5
−
208
p
4
+
208
p
3
+
52
p
2
−
48
p
)
(iv)
(
−
64
p
5
−
208
p
4
+
208
p
3
+
52
p
2
−
48
p
)
(v)
(
−
63
p
5
−
208
p
4
+
208
p
3
+
52
p
2
−
48
p
)
Question
19
19.
The value of
(
−
3
m
)
(
5
k
2
l
2
−
k
l
2
−
2
l
2
m
2
)
is
(i)
(
−
16
k
2
l
2
m
+
3
k
l
2
m
+
6
l
2
m
3
)
(ii)
(
−
14
k
2
l
2
m
+
3
k
l
2
m
+
6
l
2
m
3
)
(iii)
(
−
15
k
2
l
2
m
+
k
l
2
m
+
6
l
2
m
3
)
(iv)
(
−
15
k
2
l
2
m
+
3
k
l
2
m
+
6
l
2
m
3
)
(v)
(
−
15
k
2
l
2
m
+
6
k
l
2
m
+
6
l
2
m
3
)
Question
20
20.
The degree of the polynomial
(
8
g
4
−
3
g
3
+
8
g
2
−
7
g
+
7
)
is
(i)
5
(ii)
2
(iii)
3
(iv)
4
(v)
6
Question
21
21.
Which of the following are not polynomials?
a)
(
10
x
−
4
y
)
b)
√x
c)
(
11
x
+
10
y
)
(
10
x
−
4
y
)
d)
25
x
2
e)
(
110
x
2
+
56
x
y
−
40
y
2
)
(i)
{d,c}
(ii)
{d,c,b}
(iii)
{b,c}
(iv)
{e,a,b}
(v)
{a,b}
Question
22
22.
(
4
x
3
+
8
x
2
)
÷
2
x
(i)
(
−
2
x
2
+
4
x
)
(ii)
(
2
x
2
−
4
x
)
(iii)
(
2
x
2
+
5
x
)
(iv)
(
x
2
+
4
x
)
(v)
(
2
x
2
+
4
x
)
Question
23
23.
Which of the following terms can be added to
(
−
8
i
2
h
2
j
2
)
?
(i)
4
h
2
i
2
j
2
(ii)
9
h
i
j
(iii)
7
h
i
2
j
(iv)
(
−
2
h
i
j
2
)
(v)
2
h
2
i
2
j
Question
24
24.
The coefficient of term
f
in polynomial
(
−
8
f
g
+
3
f
−
9
g
+
5
)
is
(i)
4
(ii)
2
(iii)
1
(iv)
5
(v)
3
Question
25
25.
Which of the following is a like term of
2
b
2
?
(i)
a
2
b
2
(ii)
(
−
8
a
2
)
(iii)
9
a
b
(iv)
(
−
9
b
2
)
(v)
5
b
Assignment Key
1) (i)
2) (iv)
3) (iv)
4) (i)
5) (i)
6) (ii)
7) (v)
8) (v)
9) (i)
10) (iv)
11) (iv)
12) (ii)
13) (i)
14) (ii)
15) (i)
16) (ii)
17) (i)
18) (iv)
19) (iv)
20) (iv)
21) (iii)
22) (v)
23) (i)
24) (v)
25) (iv)
