EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts of Algebra
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
The degree of polynomial
(
−
7
d
3
e
3
+
d
3
f
−
6
d
3
+
d
2
e
2
−
7
d
2
−
d
+
2
f
)
is
(i)
5
(ii)
6
(iii)
3
(iv)
7
(v)
8
Question
2
2.
The value of the polynomial
(
9
h
i
j
−
4
h
i
)
at
h
=
3
,
i
=
(-3)
,
j
=
0
is
(i)
35
(ii)
38
(iii)
36
(iv)
37
(v)
33
Question
3
3.
The expanded form of
(
1
2
i
)
3
is
(i)
1
2
i
(ii)
1
2
i
✕
1
2
i
✕
1
2
i
✕
1
2
i
(iii)
1
2
i
✕
1
2
i
✕
1
2
i
(iv)
1
2
i
✕
1
2
i
✕
1
2
i
✕
1
2
i
✕
1
2
i
(v)
1
2
i
✕
1
2
i
Question
4
4.
Given
f
(
q
)
=
(
8
q
+
2
)
,
find
f
(
(-2)
)
(i)
-16
(ii)
-12
(iii)
-13
(iv)
-15
(v)
-14
Question
5
5.
Which of the following is a like term of
l
m
2
k
2
?
(i)
7
k
2
l
2
m
(ii)
6
k
2
l
m
2
(iii)
(
−
8
k
l
2
m
2
)
(iv)
(
−
2
k
l
2
m
)
(v)
(
−
2
k
2
l
m
)
Question
6
6.
The value of the polynomial
(
9
f
2
+
2
f
−
4
)
at
f
=
(-3)
is
(i)
71
(ii)
72
(iii)
70
(iv)
74
(v)
68
Question
7
7.
Which of the following are polynomials?
a)
x
2
b)
x
+
1
x
c)
x
2
+
1
x
2
d)
(
x
+
y
)
(
x
−
y
)
e)
(
x
+
y
)
(i)
{c,e}
(ii)
{a,e}
(iii)
{c,e,a}
(iv)
{b,a}
(v)
{d,b,a}
Question
8
8.
The value of the polynomial
(
−
8
f
g
+
g
2
)
at
e
=
(-1)
,
f
=
(-1)
,
g
=
3
is
(i)
32
(ii)
34
(iii)
31
(iv)
36
(v)
33
Question
9
9.
The degree of the polynomial
(
4
e
4
−
5
e
3
−
3
)
is
(i)
5
(ii)
2
(iii)
3
(iv)
7
(v)
4
Question
10
10.
Which of the following is a like term of
9
w
2
x
?
(i)
(
−
4
w
2
x
)
(ii)
(
−
5
v
2
w
2
)
(iii)
(
−
7
w
)
(iv)
(
−
8
w
2
x
2
)
(v)
(
−
4
v
2
w
2
x
2
)
Question
11
11.
The expanded form of
(
4
d
−
2
)
3
is
(i)
(
4
d
−
2
)
✕
(
4
d
−
2
)
(ii)
(
4
d
−
2
)
✕
(
4
d
−
2
)
✕
(
4
d
−
2
)
✕
(
4
d
−
2
)
(iii)
(
4
d
−
2
)
(iv)
(
4
d
−
2
)
✕
(
4
d
−
2
)
✕
(
4
d
−
2
)
✕
(
4
d
−
2
)
✕
(
4
d
−
2
)
(v)
(
4
d
−
2
)
✕
(
4
d
−
2
)
✕
(
4
d
−
2
)
Question
12
12.
The value of the polynomial
(
−
6
s
t
u
+
9
s
u
−
7
t
)
at
s
=
(-1)
,
t
=
(-4)
,
u
=
5
is
(i)
-135
(ii)
-137
(iii)
-138
(iv)
-139
(v)
-136
Question
13
13.
The value of the polynomial
(
−
6
)
at
g
=
1
,
h
=
3
,
i
=
4
is
(i)
-3
(ii)
-5
(iii)
-7
(iv)
-9
(v)
-6
Question
14
14.
Which of the following terms is a like term of
3
k
3
?
(i)
(
−
9
k
4
)
(ii)
k
3
(iii)
8
k
2
(iv)
(
−
4
k
)
(v)
(
−
5
)
Question
15
15.
Which of the following is an irreducible factor of
29
x
5
y
5
z
4
?
(i)
x
z
3
(ii)
y
5
z
(iii)
x
4
y
(iv)
z
(v)
x
4
y
5
z
3
Question
16
16.
Which of the following terms is a like term of
7
h
?
(i)
5
h
(ii)
9
h
2
(iii)
(
−
3
h
3
)
(iv)
(
−
9
h
4
)
(v)
(
−
1
)
Question
17
17.
The coefficient of term
a
2
in polynomial
(
3
a
3
−
a
2
−
6
a
+
4
)
is
(i)
-4
(ii)
-1
(iii)
0
(iv)
2
(v)
-2
Question
18
18.
The value of the polynomial
(
−
6
g
+
9
)
at
g
=
(-3)
is
(i)
24
(ii)
27
(iii)
30
(iv)
28
(v)
26
Question
19
19.
The degree of the polynomial
(
5
e
5
−
e
4
−
3
e
3
+
8
e
2
−
3
e
)
is
(i)
4
(ii)
6
(iii)
3
(iv)
5
(v)
8
Question
20
20.
The coefficient of term
p
2
q
2
in polynomial
(
3
p
2
q
2
−
6
p
q
2
−
7
p
q
−
14
p
)
is
(i)
0
(ii)
3
(iii)
5
(iv)
4
(v)
2
Question
21
21.
h
✕
h
✕
h
✕
i
✕
i
✕
j
✕
j
✕
j
=
(i)
h
2
i
2
j
3
(ii)
h
3
i
2
j
3
(iii)
4
h
3
i
2
j
3
(iv)
−
h
3
i
2
j
3
(v)
h
4
i
2
j
3
Question
22
22.
Which of the following algebraic expressions is a monomial?
(i)
(
−
2
v
3
w
3
x
2
−
3
v
2
x
3
−
6
w
3
x
+
w
x
)
(ii)
(
9
v
2
w
3
x
−
7
x
2
)
(iii)
(
−
v
w
3
x
3
+
4
v
w
3
x
+
9
x
2
)
(iv)
(
−
v
2
w
3
x
2
)
(v)
(
2
v
3
x
−
5
v
2
w
3
+
5
v
w
−
6
w
2
)
Question
23
23.
Which of the following is a factor of
(
12
x
5
+
y
3
z
2
)
?
(i)
no factors
(ii)
12
y
(iii)
12
x
5
(iv)
y
3
z
2
(v)
12
x
4
z
Question
24
24.
The degree of polynomial
(
21
s
t
−
3
s
−
7
t
−
6
)
is
(i)
1
(ii)
3
(iii)
2
(iv)
(-1)
(v)
4
Question
25
25.
i
✕
i
✕
i
✕
i
=
(i)
i
5
(ii)
i
4
(iii)
i
3
(iv)
3
i
4
(v)
−
i
4
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (v)
5) (ii)
6) (i)
7) (ii)
8) (v)
9) (v)
10) (i)
11) (v)
12) (ii)
13) (v)
14) (ii)
15) (iv)
16) (i)
17) (ii)
18) (ii)
19) (iv)
20) (ii)
21) (ii)
22) (iv)
23) (i)
24) (iii)
25) (ii)
