EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts of Algebra
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
The coefficient of term
j
2
in polynomial
(
4
j
2
k
2
l
2
−
4
j
2
l
−
7
j
2
+
j
k
−
3
k
)
is
(i)
-8
(ii)
-10
(iii)
-5
(iv)
-7
(v)
-6
Question
2
2.
14
f
2
g
2
h
3
=
(i)
14
✕
f
✕
f
✕
f
✕
g
✕
g
✕
h
✕
h
✕
h
(ii)
12
✕
f
✕
f
✕
g
✕
g
✕
h
✕
h
✕
h
(iii)
17
✕
f
✕
f
✕
g
✕
g
✕
h
✕
h
✕
h
(iv)
14
✕
f
✕
f
✕
g
✕
g
✕
h
✕
h
✕
h
(v)
14
✕
f
✕
g
✕
g
✕
h
✕
h
✕
h
Question
3
3.
The coefficient of term
w
2
in polynomial
(
−
w
2
−
8
w
+
5
)
is
(i)
-2
(ii)
0
(iii)
-1
(iv)
1
(v)
-3
Question
4
4.
Which of the following are not polynomials?
a)
(
9
x
+
y
)
(
x
−
2
y
)
b)
(
x
−
2
y
)
c)
(
9
x
2
−
17
x
y
−
2
y
2
)
d)
√x
e)
16
x
2
(i)
{c,d,a}
(ii)
{a,d}
(iii)
{c,d}
(iv)
{e,b,a}
(v)
{b,a}
Question
5
5.
23
n
2
=
(i)
23
✕
n
✕
n
✕
n
(ii)
23
✕
n
✕
n
(iii)
21
✕
n
✕
n
(iv)
23
✕
n
(v)
26
✕
n
✕
n
Question
6
6.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
(
x
+
y
+
1
)
(ii)
x
y
(iii)
y
(iv)
x
Question
7
7.
The value of the polynomial
(
−
8
)
at
v
=
2
,
w
=
(-2)
,
x
=
4
is
(i)
-5
(ii)
-7
(iii)
-8
(iv)
-9
(v)
-10
Question
8
8.
Which of the following terms is a like term of
(
−
6
i
)
?
(i)
i
2
(ii)
(
−
7
)
(iii)
(
−
2
i
)
(iv)
3
i
3
(v)
(
−
6
i
4
)
Question
9
9.
25
✕
p
✕
p
✕
q
✕
q
✕
r
✕
r
=
(i)
25
p
q
2
r
2
(ii)
27
p
2
q
2
r
2
(iii)
25
p
3
q
2
r
2
(iv)
23
p
2
q
2
r
2
(v)
25
p
2
q
2
r
2
Question
10
10.
The value of the polynomial
(
7
k
2
m
2
−
4
k
+
7
l
m
2
)
at
k
=
0
,
l
=
(-1)
,
m
=
2
is
(i)
-30
(ii)
-29
(iii)
-27
(iv)
-26
(v)
-28
Question
11
11.
The value of the polynomial
(
4
x
2
+
3
x
+
5
)
at
x
=
2
is
(i)
28
(ii)
27
(iii)
26
(iv)
24
(v)
30
Question
12
12.
Which of the following is an irreducible factor of
45
x
4
y
z
2
?
(i)
x
3
y
2
z
2
(ii)
y
2
z
(iii)
x
z
2
(iv)
z
(v)
x
3
y
Question
13
13.
Which of the following algebraic expressions is a monomial?
(i)
(
2
k
4
−
9
k
+
3
)
(ii)
(
−
2
k
3
+
3
k
2
)
(iii)
(
−
7
k
4
−
4
k
3
−
2
k
2
+
5
k
+
8
)
(iv)
(
8
k
4
+
5
k
3
+
3
k
2
−
8
k
+
4
)
(v)
8
k
Question
14
14.
15
✕
k
✕
k
✕
k
=
(i)
13
k
3
(ii)
15
k
2
(iii)
15
k
3
(iv)
17
k
3
(v)
15
k
4
Question
15
15.
The degree of polynomial
(
9
n
o
−
6
n
−
3
o
−
6
)
is
(i)
(-1)
(ii)
1
(iii)
3
(iv)
2
(v)
5
Question
16
16.
Which of the following are polynomials?
a)
(
x
+
y
)
b)
x
2
+
1
x
2
c)
(
x
+
y
)
(
x
−
y
)
d)
x
2
e)
x
+
1
x
(i)
{e,b,a}
(ii)
{b,a}
(iii)
{c,d}
(iv)
{a,d}
(v)
{c,d,a}
Question
17
17.
Which of the following is a like term of
(
−
4
x
y
2
w
2
)
?
(i)
(
−
5
w
2
x
y
2
)
(ii)
7
w
2
x
y
(iii)
(
−
8
w
2
x
2
y
)
(iv)
(
−
3
w
x
y
)
(v)
(
−
7
w
x
2
y
)
Question
18
18.
The value of the polynomial
(
y
−
5
)
at
y
=
(-2)
is
(i)
-7
(ii)
-10
(iii)
-6
(iv)
-4
(v)
-8
Question
19
19.
The degree of the polynomial
(
−
8
u
2
−
5
u
−
9
)
is
(i)
5
(ii)
2
(iii)
0
(iv)
1
(v)
3
Question
20
20.
Which of the following algebraic expressions is a trinomial?
(i)
8
x
2
(ii)
(
7
x
4
−
9
x
3
+
3
x
2
+
3
x
−
8
)
(iii)
(
6
x
4
−
8
x
3
+
6
)
(iv)
(
2
x
4
+
6
x
)
(v)
(
x
4
−
7
x
3
+
9
x
2
−
6
x
−
4
)
Question
21
21.
Which of the following is a like term of
(
−
2
k
2
l
2
j
)
?
(i)
(
−
2
j
k
l
2
)
(ii)
j
k
2
l
(iii)
(
−
8
j
k
2
l
2
)
(iv)
2
j
2
k
l
(v)
(
−
j
2
k
l
2
)
Question
22
22.
The expanded form of
(
5
o
+
p
)
3
is
(i)
(
5
o
+
p
)
✕
(
5
o
+
p
)
✕
(
5
o
+
p
)
✕
(
5
o
+
p
)
(ii)
(
5
o
+
p
)
✕
(
5
o
+
p
)
(iii)
(
5
o
+
p
)
✕
(
5
o
+
p
)
✕
(
5
o
+
p
)
(iv)
(
5
o
+
p
)
✕
(
5
o
+
p
)
✕
(
5
o
+
p
)
✕
(
5
o
+
p
)
✕
(
5
o
+
p
)
(v)
(
5
o
+
p
)
Question
23
23.
Given
f
(
g
)
=
(
5
g
+
7
)
,
find
f
(
5
)
(i)
32
(ii)
34
(iii)
30
(iv)
31
(v)
33
Question
24
24.
The value of the polynomial
(
4
u
4
+
3
u
3
+
8
u
2
+
3
u
+
7
)
at
u
=
(-5)
is
(i)
2320
(ii)
2318
(iii)
2314
(iv)
2317
(v)
2316
Question
25
25.
30
p
3
q
3
=
(i)
33
✕
p
✕
p
✕
p
✕
q
✕
q
✕
q
(ii)
30
✕
p
✕
p
✕
q
✕
q
✕
q
(iii)
30
✕
p
✕
p
✕
p
✕
p
✕
q
✕
q
✕
q
(iv)
27
✕
p
✕
p
✕
p
✕
q
✕
q
✕
q
(v)
30
✕
p
✕
p
✕
p
✕
q
✕
q
✕
q
Assignment Key
1) (iv)
2) (iv)
3) (iii)
4) (ii)
5) (ii)
6) (ii)
7) (iii)
8) (iii)
9) (v)
10) (v)
11) (ii)
12) (iv)
13) (v)
14) (iii)
15) (iv)
16) (iv)
17) (i)
18) (i)
19) (ii)
20) (iii)
21) (iii)
22) (iii)
23) (i)
24) (iv)
25) (v)
