EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts of Algebra
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
n
✕
n
✕
n
✕
o
✕
o
✕
o
✕
p
✕
p
✕
p
=
(i)
3
n
3
o
3
p
3
(ii)
n
2
o
3
p
3
(iii)
−
n
3
o
3
p
3
(iv)
n
4
o
3
p
3
(v)
n
3
o
3
p
3
Question
2
2.
The degree of the polynomial
(
5
c
5
+
9
c
4
+
4
c
2
−
2
c
−
3
)
is
(i)
4
(ii)
5
(iii)
7
(iv)
2
(v)
6
Question
3
3.
Given
f
(
i
)
=
(
−
8
i
2
−
2
i
+
5
)
,
find
f
(
0
)
(i)
8
(ii)
4
(iii)
2
(iv)
5
(v)
6
Question
4
4.
Which of the following are not polynomials?
a)
(
5
x
+
12
y
)
(
x
−
y
)
b)
16
x
2
c)
(
x
−
y
)
d)
√x
e)
(
5
x
2
+
7
x
y
−
12
y
2
)
(i)
{a,d}
(ii)
{b,a}
(iii)
{c,d}
(iv)
{e,b,a}
(v)
{c,d,a}
Question
5
5.
The constant term in polynomial
(
−
4
x
4
+
x
3
−
4
x
2
+
5
x
−
8
)
is
(i)
-5
(ii)
-7
(iii)
-8
(iv)
-10
(v)
-9
Question
6
6.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
x
(ii)
(
x
+
y
+
1
)
(iii)
y
(iv)
x
y
Question
7
7.
The coefficient of term
g
2
h
i
2
in polynomial
(
8
g
3
h
2
i
3
+
g
3
h
2
i
−
4
g
2
h
3
+
4
g
2
h
2
i
+
7
g
2
h
i
2
+
7
g
h
3
i
2
+
5
g
i
3
)
is
(i)
4
(ii)
8
(iii)
9
(iv)
7
(v)
6
Question
8
8.
Which of the following is a factor of
6
x
4
y
2
z
3
?
(i)
6
x
4
y
2
z
4
(ii)
6
x
y
2
z
4
(iii)
x
5
y
2
(iv)
6
x
y
2
(v)
6
x
y
3
Question
9
9.
The value of the polynomial
(
4
h
2
i
+
5
i
2
j
2
−
7
i
2
j
)
at
h
=
(-3)
,
i
=
(-5)
,
j
=
5
is
(i)
2067
(ii)
2073
(iii)
2070
(iv)
2069
(v)
2071
Question
10
10.
Which of the following are not polynomials?
a)
(
36
x
2
−
9
x
y
−
45
y
2
)
b)
(
9
x
+
9
y
)
(
4
x
−
5
y
)
c)
16
x
2
d)
(
9
x
+
9
y
)
e)
x
+
1
x
(i)
{c,e}
(ii)
{d,a,b}
(iii)
{b,e}
(iv)
{c,e,b}
(v)
{a,b}
Question
11
11.
Which of the following is a like term of
(
−
8
f
2
g
e
)
?
(i)
5
e
f
2
g
(ii)
(
−
5
e
2
f
2
g
2
)
(iii)
(
−
5
e
f
g
2
)
(iv)
8
e
f
2
g
2
(v)
(
−
6
e
2
f
2
g
)
Question
12
12.
The coefficient of term
t
2
u
2
in polynomial
(
5
t
2
u
2
v
2
−
5
t
2
u
2
v
−
8
t
2
u
2
+
8
u
2
v
−
3
v
2
)
is
(i)
-9
(ii)
-7
(iii)
-11
(iv)
-8
(v)
-5
Question
13
13.
The value of the polynomial
(
−
b
4
+
4
b
3
+
9
b
2
+
5
b
+
5
)
at
b
=
1
is
(i)
22
(ii)
20
(iii)
24
(iv)
21
(v)
23
Question
14
14.
p
3
q
3
r
2
=
(i)
−
p
✕
p
✕
p
✕
q
✕
q
✕
q
✕
r
✕
r
(ii)
p
✕
p
✕
q
✕
q
✕
q
✕
r
✕
r
(iii)
4
✕
p
✕
p
✕
p
✕
q
✕
q
✕
q
✕
r
✕
r
(iv)
p
✕
p
✕
p
✕
p
✕
q
✕
q
✕
q
✕
r
✕
r
(v)
p
✕
p
✕
p
✕
q
✕
q
✕
q
✕
r
✕
r
Question
15
15.
Which of the following is a like term of
(
−
1
)
?
(i)
(
−
6
l
)
(ii)
(
−
8
k
l
)
(iii)
j
k
l
(iv)
(
−
7
k
)
(v)
4
Question
16
16.
Which of the following is an irreducible factor of
17
x
y
2
z
2
?
(i)
x
z
2
(ii)
x
y
2
z
2
(iii)
z
(iv)
y
2
z
(v)
x
y
Question
17
17.
The expanded form of
(
4
o
p
−
4
o
)
3
is
(i)
(
4
o
p
−
4
o
)
✕
(
4
o
p
−
4
o
)
✕
(
4
o
p
−
4
o
)
✕
(
4
o
p
−
4
o
)
✕
(
4
o
p
−
4
o
)
(ii)
(
4
o
p
−
4
o
)
(iii)
(
4
o
p
−
4
o
)
✕
(
4
o
p
−
4
o
)
✕
(
4
o
p
−
4
o
)
✕
(
4
o
p
−
4
o
)
(iv)
(
4
o
p
−
4
o
)
✕
(
4
o
p
−
4
o
)
✕
(
4
o
p
−
4
o
)
(v)
(
4
o
p
−
4
o
)
✕
(
4
o
p
−
4
o
)
Question
18
18.
g
2
=
(i)
4
✕
g
✕
g
(ii)
g
✕
g
✕
g
(iii)
g
(iv)
−
g
✕
g
(v)
g
✕
g
Question
19
19.
Which of the following algebraic expressions is a trinomial?
(i)
(
−
6
h
3
i
3
j
2
)
(ii)
(
−
7
i
j
2
−
8
i
j
)
(iii)
(
9
h
3
i
j
−
h
3
j
+
5
h
3
−
7
h
2
i
3
j
)
(iv)
(
−
3
h
2
i
2
j
+
5
h
i
3
j
3
+
7
h
i
j
3
−
3
i
2
j
)
(v)
(
6
h
3
i
3
+
9
h
3
i
2
j
2
+
h
i
3
)
Question
20
20.
The value of the polynomial
(
−
9
g
h
2
+
2
g
i
2
−
2
h
2
i
)
at
g
=
(-5)
,
h
=
(-1)
,
i
=
(-4)
is
(i)
-109
(ii)
-106
(iii)
-107
(iv)
-108
(v)
-104
Question
21
21.
The value of the polynomial
(
3
v
2
−
8
v
+
6
)
at
v
=
3
is
(i)
7
(ii)
8
(iii)
11
(iv)
10
(v)
9
Question
22
22.
The degree of polynomial
(
−
8
e
f
+
2
e
+
f
−
9
)
is
(i)
2
(ii)
3
(iii)
4
(iv)
1
(v)
0
Question
23
23.
Which of the following algebraic expressions is a monomial?
(i)
(
5
e
4
−
9
e
3
−
2
e
2
+
8
e
+
1
)
(ii)
(
−
7
e
4
+
8
e
3
+
3
e
2
−
4
e
−
2
)
(iii)
(
6
e
3
+
9
e
2
−
7
)
(iv)
3
e
2
(v)
(
−
7
e
3
−
5
e
)
Question
24
24.
The expanded form of
(
3
j
)
3
is
(i)
3
j
✕
3
j
✕
3
j
(ii)
3
j
✕
3
j
(iii)
3
j
(iv)
3
j
✕
3
j
✕
3
j
✕
3
j
(v)
3
j
✕
3
j
✕
3
j
✕
3
j
✕
3
j
Question
25
25.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
6
h
3
i
3
j
3
−
9
h
3
i
+
6
h
3
j
+
7
h
2
i
j
3
)
(ii)
(
−
5
h
3
i
j
+
7
h
2
i
2
+
2
h
i
2
)
(iii)
(
−
8
h
3
j
3
+
3
h
2
j
3
)
(iv)
(
−
7
)
(v)
2
h
3
i
3
j
2
Assignment Key
1) (v)
2) (ii)
3) (iv)
4) (i)
5) (iii)
6) (iv)
7) (iv)
8) (iv)
9) (iii)
10) (iii)
11) (i)
12) (iv)
13) (i)
14) (v)
15) (v)
16) (iii)
17) (iv)
18) (v)
19) (v)
20) (iii)
21) (v)
22) (i)
23) (iv)
24) (i)
25) (iv)
