EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts of Algebra
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
Which of the following algebraic expressions is a zero polynomial?
(i)
0
(ii)
(
−
h
4
+
5
h
3
+
h
2
+
h
−
5
)
(iii)
(
6
h
3
+
5
h
2
)
(iv)
(
−
2
h
4
+
3
h
3
+
6
)
(v)
6
h
4
Question
2
2.
Which of the following terms is a like term of
7
?
(i)
(
−
x
4
)
(ii)
3
x
2
(iii)
(
−
2
)
(iv)
(
−
6
x
)
(v)
(
−
x
3
)
Question
3
3.
The value of the polynomial
(
3
a
−
6
)
at
a
=
4
is
(i)
6
(ii)
7
(iii)
5
(iv)
4
(v)
8
Question
4
4.
Which of the following is a like term of
(
−
7
k
l
2
j
2
)
?
(i)
(
−
8
j
k
l
2
)
(ii)
5
j
2
k
l
(iii)
j
2
k
2
l
(iv)
j
k
l
(v)
(
−
5
j
2
k
l
2
)
Question
5
5.
The value of the polynomial
(
−
7
l
n
+
3
l
+
4
m
)
at
l
=
3
,
m
=
1
,
n
=
4
is
(i)
-72
(ii)
-69
(iii)
-73
(iv)
-71
(v)
-70
Question
6
6.
The constant term in polynomial
(
n
+
1
)
is
(i)
3
(ii)
-1
(iii)
0
(iv)
1
(v)
2
Question
7
7.
The expanded form of
(
4
s
t
)
3
is
(i)
4
s
t
✕
4
s
t
(ii)
4
s
t
(iii)
4
s
t
✕
4
s
t
✕
4
s
t
✕
4
s
t
✕
4
s
t
(iv)
4
s
t
✕
4
s
t
✕
4
s
t
✕
4
s
t
(v)
4
s
t
✕
4
s
t
✕
4
s
t
Question
8
8.
Which of the following are not polynomials?
a)
25
x
2
+
1
25
x
2
b)
25
x
2
c)
√x
d)
(
9
x
+
11
y
)
e)
(
12
x
−
8
y
)
(i)
{b,a}
(ii)
{d,c,a}
(iii)
{a,c}
(iv)
{d,c}
(v)
{e,b,a}
Question
9
9.
The degree of polynomial
(
−
18
b
c
−
2
b
−
6
c
+
8
)
is
(i)
4
(ii)
(-1)
(iii)
1
(iv)
3
(v)
2
Question
10
10.
Which of the following is an irreducible factor of
34
x
2
y
z
?
(i)
z
(ii)
x
2
y
(iii)
x
z
(iv)
y
z
(v)
x
2
y
z
Question
11
11.
The degree of polynomial
(
7
c
2
+
c
−
3
d
2
+
1
)
is
(i)
5
(ii)
(-1)
(iii)
3
(iv)
1
(v)
2
Question
12
12.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
y
(ii)
(
x
+
y
+
1
)
(iii)
x
(iv)
x
y
Question
13
13.
The degree of polynomial
(
−
5
t
3
u
3
v
3
−
5
t
3
v
2
−
2
t
3
v
−
3
t
2
u
3
v
3
+
8
t
2
u
v
3
+
5
t
u
2
v
−
6
t
u
v
2
)
is
(i)
9
(ii)
11
(iii)
10
(iv)
7
(v)
8
Question
14
14.
Which of the following algebraic expressions is a zero polynomial?
(i)
0
(ii)
(
−
9
f
3
g
h
−
6
f
2
g
h
3
)
(iii)
(
f
3
h
2
+
3
f
g
h
3
+
1
)
(iv)
(
−
2
f
3
h
3
+
f
3
h
−
5
f
h
3
+
f
h
2
)
(v)
(
−
2
f
3
g
h
)
Question
15
15.
Given
f
(
h
)
=
(
−
3
h
2
+
5
h
+
5
)
,
find
f
(
(-2)
)
(i)
-14
(ii)
-17
(iii)
-18
(iv)
-19
(v)
-16
Question
16
16.
Which of the following algebraic expressions is a binomial?
(i)
(
−
8
m
4
−
7
m
3
+
9
m
2
−
6
m
−
1
)
(ii)
(
−
7
m
3
)
(iii)
(
−
7
m
4
+
m
2
)
(iv)
(
m
2
−
9
m
+
3
)
(v)
(
9
m
4
−
4
m
3
+
2
m
2
+
6
m
+
3
)
Question
17
17.
The value of the polynomial
(
4
y
2
−
5
y
−
6
)
at
y
=
4
is
(i)
40
(ii)
36
(iii)
39
(iv)
38
(v)
37
Question
18
18.
Which of the following is a like term of
4
q
r
2
p
2
?
(i)
8
p
2
q
r
2
(ii)
(
−
5
p
q
2
r
2
)
(iii)
8
p
2
q
2
r
2
(iv)
5
p
q
r
(v)
(
−
5
p
2
q
r
)
Question
19
19.
The value of the polynomial
(
−
2
e
2
f
g
2
+
6
e
f
g
2
−
7
f
2
)
at
e
=
4
,
f
=
5
,
g
=
4
is
(i)
-814
(ii)
-816
(iii)
-813
(iv)
-817
(v)
-815
Question
20
20.
Which of the following are not polynomials?
a)
(
3
x
+
8
y
)
(
3
x
−
6
y
)
b)
25
x
2
c)
(
9
x
2
+
6
x
y
−
48
y
2
)
d)
(
3
x
+
8
y
)
e)
x
+
1
x
(i)
{c,e,a}
(ii)
{b,a}
(iii)
{c,e}
(iv)
{d,b,a}
(v)
{a,e}
Question
21
21.
18
d
2
=
(i)
20
✕
d
✕
d
(ii)
18
✕
d
✕
d
(iii)
18
✕
d
(iv)
18
✕
d
✕
d
✕
d
(v)
15
✕
d
✕
d
Question
22
22.
The value of the polynomial
8
u
w
2
at
u
=
(-1)
,
v
=
4
,
w
=
3
is
(i)
-74
(ii)
-71
(iii)
-73
(iv)
-69
(v)
-72
Question
23
23.
Which of the following are not polynomials?
a)
√x
b)
(
80
x
2
+
46
x
y
−
21
y
2
)
c)
(
10
x
−
3
y
)
d)
121
x
2
e)
(
8
x
+
7
y
)
(
10
x
−
3
y
)
(i)
{a,e}
(ii)
{d,b,a}
(iii)
{c,e,a}
(iv)
{b,a}
(v)
{c,e}
Question
24
24.
The expanded form of
(
1
2
t
u
)
3
is
(i)
1
2
t
u
✕
1
2
t
u
✕
1
2
t
u
(ii)
1
2
t
u
✕
1
2
t
u
✕
1
2
t
u
✕
1
2
t
u
(iii)
1
2
t
u
✕
1
2
t
u
(iv)
1
2
t
u
(v)
1
2
t
u
✕
1
2
t
u
✕
1
2
t
u
✕
1
2
t
u
✕
1
2
t
u
Question
25
25.
Given
f
(
u
)
=
(
u
+
6
)
,
find
f
(
1
)
(i)
9
(ii)
6
(iii)
8
(iv)
7
(v)
5
Assignment Key
1) (i)
2) (iii)
3) (i)
4) (v)
5) (iv)
6) (iv)
7) (v)
8) (iii)
9) (v)
10) (i)
11) (v)
12) (iv)
13) (i)
14) (i)
15) (ii)
16) (iii)
17) (iv)
18) (i)
19) (v)
20) (v)
21) (ii)
22) (v)
23) (i)
24) (i)
25) (iv)
