EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts of Algebra
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
The value of the polynomial
(
−
7
b
4
+
4
b
3
−
5
b
2
+
5
b
−
1
)
at
b
=
(-3)
is
(i)
-738
(ii)
-733
(iii)
-737
(iv)
-736
(v)
-735
Question
2
2.
The constant term in polynomial
(
−
6
i
2
−
i
−
8
)
is
(i)
-9
(ii)
-6
(iii)
-8
(iv)
-10
(v)
-7
Question
3
3.
p
✕
p
✕
p
✕
p
✕
q
✕
q
✕
q
=
(i)
p
5
q
3
(ii)
p
4
q
3
(iii)
3
p
4
q
3
(iv)
p
3
q
3
(v)
−
2
p
4
q
3
Question
4
4.
Which of the following are not polynomials?
a)
(
9
x
−
4
y
)
b)
121
x
2
c)
(
27
x
2
+
6
x
y
−
8
y
2
)
d)
√x
e)
(
3
x
+
2
y
)
(
9
x
−
4
y
)
(i)
{a,d}
(ii)
{b,e}
(iii)
{d,e}
(iv)
{b,e,d}
(v)
{c,a,d}
Question
5
5.
The coefficient of term
b
3
in polynomial
(
6
b
4
+
9
b
3
−
3
b
2
−
7
b
+
6
)
is
(i)
8
(ii)
10
(iii)
9
(iv)
6
(v)
12
Question
6
6.
The value of the polynomial
w
at
w
=
2
,
x
=
(-2)
,
y
=
4
is
(i)
1
(ii)
2
(iii)
3
(iv)
0
(v)
4
Question
7
7.
Which of the following terms is a like term of
2
m
3
?
(i)
8
m
(ii)
3
m
3
(iii)
(
−
9
m
4
)
(iv)
7
m
2
(v)
3
Question
8
8.
The value of the polynomial
(
−
4
b
c
d
+
b
c
+
2
)
at
b
=
(-1)
,
c
=
(-3)
,
d
=
(-3)
is
(i)
42
(ii)
39
(iii)
40
(iv)
44
(v)
41
Question
9
9.
The value of the polynomial
(
3
p
q
−
4
q
r
2
)
at
p
=
0
,
q
=
(-3)
,
r
=
1
is
(i)
10
(ii)
11
(iii)
12
(iv)
13
(v)
14
Question
10
10.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
−
6
b
4
)
(ii)
(
2
b
4
−
8
b
3
+
9
b
2
+
3
b
−
4
)
(iii)
(
−
9
b
3
−
2
)
(iv)
2
(v)
(
9
b
4
−
7
b
2
−
2
)
Question
11
11.
Which of the following are polynomials?
a)
x
+
1
x
b)
x
2
c)
x
2
+
1
x
2
d)
(
x
+
y
)
(
x
−
y
)
e)
(
x
+
y
)
(i)
{c,e}
(ii)
{c,e,b}
(iii)
{a,b}
(iv)
{b,e}
(v)
{d,a,b}
Question
12
12.
Which of the following are not polynomials?
a)
4
x
2
b)
√x
c)
(
10
x
−
6
y
)
d)
4
x
2
+
1
4
x
2
e)
(
7
x
+
5
y
)
(i)
{a,b}
(ii)
{c,d,b}
(iii)
{c,d}
(iv)
{e,a,b}
(v)
{b,d}
Question
13
13.
Which of the following terms is a like term of
6
q
4
?
(i)
9
q
4
(ii)
(
−
7
)
(iii)
(
−
9
q
3
)
(iv)
4
q
2
(v)
3
q
Question
14
14.
Which of the following is a like term of
q
r
2
?
(i)
(
−
r
2
)
(ii)
5
q
2
r
(iii)
(
−
5
q
2
r
2
)
(iv)
4
q
r
2
(v)
(
−
9
r
)
Question
15
15.
The value of the polynomial
(
6
s
t
u
+
3
u
−
9
)
at
s
=
0
,
t
=
(-1)
,
u
=
4
is
(i)
3
(ii)
5
(iii)
0
(iv)
2
(v)
4
Question
16
16.
The expanded form of
(
6
b
c
−
b
)
3
is
(i)
(
6
b
c
−
b
)
✕
(
6
b
c
−
b
)
✕
(
6
b
c
−
b
)
✕
(
6
b
c
−
b
)
(ii)
(
6
b
c
−
b
)
✕
(
6
b
c
−
b
)
(iii)
(
6
b
c
−
b
)
✕
(
6
b
c
−
b
)
✕
(
6
b
c
−
b
)
(iv)
(
6
b
c
−
b
)
(v)
(
6
b
c
−
b
)
✕
(
6
b
c
−
b
)
✕
(
6
b
c
−
b
)
✕
(
6
b
c
−
b
)
✕
(
6
b
c
−
b
)
Question
17
17.
a
3
b
4
c
3
=
(i)
a
✕
a
✕
a
✕
a
✕
b
✕
b
✕
b
✕
b
✕
c
✕
c
✕
c
(ii)
-2
✕
a
✕
a
✕
a
✕
b
✕
b
✕
b
✕
b
✕
c
✕
c
✕
c
(iii)
a
✕
a
✕
a
✕
b
✕
b
✕
b
✕
b
✕
c
✕
c
✕
c
(iv)
a
✕
a
✕
b
✕
b
✕
b
✕
b
✕
c
✕
c
✕
c
(v)
3
✕
a
✕
a
✕
a
✕
b
✕
b
✕
b
✕
b
✕
c
✕
c
✕
c
Question
18
18.
Which of the following algebraic expressions is a binomial?
(i)
(
8
x
2
−
6
x
z
2
−
4
y
3
z
2
−
9
z
2
)
(ii)
(
−
3
x
3
y
3
z
3
−
3
y
2
z
3
)
(iii)
(
2
x
3
y
z
2
+
2
x
3
y
+
6
x
2
y
3
z
2
)
(iv)
(
3
x
3
y
z
3
−
7
x
2
y
+
5
x
2
z
2
−
4
x
z
2
)
(v)
(
−
7
x
2
y
2
z
2
)
Question
19
19.
The degree of polynomial
(
−
o
p
−
3
o
−
2
p
−
8
)
is
(i)
(-1)
(ii)
2
(iii)
3
(iv)
4
(v)
1
Question
20
20.
Which of the following is a like term of
(
−
5
s
2
u
)
?
(i)
(
−
4
t
u
)
(ii)
6
s
t
2
u
(iii)
7
s
2
u
(iv)
5
s
(v)
9
s
u
2
Question
21
21.
The expanded form of
(
1
2
q
r
)
3
is
(i)
1
2
q
r
✕
1
2
q
r
✕
1
2
q
r
✕
1
2
q
r
✕
1
2
q
r
(ii)
1
2
q
r
✕
1
2
q
r
✕
1
2
q
r
(iii)
1
2
q
r
✕
1
2
q
r
✕
1
2
q
r
✕
1
2
q
r
(iv)
1
2
q
r
(v)
1
2
q
r
✕
1
2
q
r
Question
22
22.
The degree of polynomial
(
−
2
q
r
s
2
+
8
q
r
s
+
6
q
s
−
5
s
+
7
)
is
(i)
3
(ii)
4
(iii)
2
(iv)
6
(v)
5
Question
23
23.
The coefficient of term
t
u
2
in polynomial
(
−
4
t
2
u
2
v
2
+
t
u
2
+
4
t
u
v
+
6
u
2
v
2
−
4
u
2
)
is
(i)
1
(ii)
0
(iii)
2
(iv)
-1
(v)
4
Question
24
24.
Given
f
(
k
)
=
(
−
7
k
2
−
9
k
+
4
)
,
find
f
(
(-4)
)
(i)
-71
(ii)
-75
(iii)
-73
(iv)
-70
(v)
-72
Question
25
25.
The degree of the polynomial
(
9
m
+
9
)
is
(i)
2
(ii)
4
(iii)
1
(iv)
0
(v)
(-1)
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (iii)
5) (iii)
6) (ii)
7) (ii)
8) (v)
9) (iii)
10) (iv)
11) (iv)
12) (v)
13) (i)
14) (iv)
15) (i)
16) (iii)
17) (iii)
18) (ii)
19) (ii)
20) (iii)
21) (ii)
22) (ii)
23) (i)
24) (v)
25) (iii)
