EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts of Algebra
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
h
2
i
2
j
4
=
(i)
4
✕
h
✕
h
✕
i
✕
i
✕
j
✕
j
✕
j
✕
j
(ii)
h
✕
i
✕
i
✕
j
✕
j
✕
j
✕
j
(iii)
h
✕
h
✕
h
✕
i
✕
i
✕
j
✕
j
✕
j
✕
j
(iv)
−
h
✕
h
✕
i
✕
i
✕
j
✕
j
✕
j
✕
j
(v)
h
✕
h
✕
i
✕
i
✕
j
✕
j
✕
j
✕
j
Question
2
2.
Which of the following terms is a like term of
6
z
2
?
(i)
3
z
2
(ii)
(
−
5
)
(iii)
z
(iv)
9
z
4
(v)
z
3
Question
3
3.
Which of the following terms is a like term of
4
d
3
?
(i)
4
d
2
(ii)
6
d
(iii)
1
(iv)
(
−
2
d
3
)
(v)
(
−
7
d
4
)
Question
4
4.
The value of the polynomial
(
3
e
2
+
8
e
+
1
)
at
e
=
2
is
(i)
28
(ii)
27
(iii)
32
(iv)
30
(v)
29
Question
5
5.
Which of the following terms is a like term of
7
y
?
(i)
(
−
5
)
(ii)
5
y
2
(iii)
2
y
4
(iv)
(
−
9
y
)
(v)
(
−
8
y
3
)
Question
6
6.
The value of the polynomial
(
−
8
k
m
+
8
l
−
8
)
at
k
=
(-1)
,
l
=
(-2)
,
m
=
2
is
(i)
-7
(ii)
-5
(iii)
-8
(iv)
-10
(v)
-9
Question
7
7.
Which of the following is a like term of
w
?
(i)
(
−
2
w
)
(ii)
7
v
w
x
(iii)
3
v
w
(iv)
(
−
v
x
)
(v)
8
Question
8
8.
Given
f
(
t
)
=
(
−
4
t
2
−
9
t
+
8
)
,
find
f
(
1
)
(i)
-3
(ii)
-6
(iii)
-8
(iv)
-4
(v)
-5
Question
9
9.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
x
y
(ii)
x
(iii)
y
(iv)
(
x
+
y
+
1
)
Question
10
10.
The degree of polynomial
(
6
h
3
i
3
j
+
h
3
i
2
j
2
−
2
h
2
i
2
j
3
+
4
h
i
3
j
2
+
3
i
2
j
3
+
i
2
j
2
−
4
i
)
is
(i)
5
(ii)
6
(iii)
8
(iv)
7
(v)
9
Question
11
11.
Which of the following algebraic expressions is a binomial?
(i)
(
4
h
3
i
−
3
h
2
i
3
j
2
−
3
h
2
i
2
−
5
h
j
2
)
(ii)
(
−
h
i
j
3
+
6
i
3
j
2
)
(iii)
(
−
7
h
2
i
3
j
2
)
(iv)
(
3
h
i
3
j
3
+
5
h
i
j
−
7
i
j
2
−
3
j
3
)
(v)
(
−
5
h
i
3
j
3
+
7
h
i
2
j
−
6
h
j
3
)
Question
12
12.
The degree of polynomial
(
−
6
d
2
f
−
2
d
e
2
f
2
+
4
d
+
2
e
2
f
−
9
f
2
)
is
(i)
8
(ii)
4
(iii)
3
(iv)
5
(v)
6
Question
13
13.
The degree of the polynomial
(
i
5
+
4
i
3
−
i
2
+
4
i
−
3
)
is
(i)
3
(ii)
5
(iii)
6
(iv)
4
(v)
7
Question
14
14.
The coefficient of term
x
y
in polynomial
(
8
x
2
y
2
−
9
x
y
+
8
y
−
1
)
is
(i)
-11
(ii)
-6
(iii)
-10
(iv)
-8
(v)
-9
Question
15
15.
The value of the polynomial
(
−
9
y
4
−
3
y
3
−
4
y
2
+
7
y
+
9
)
at
y
=
(-1)
is
(i)
-8
(ii)
-7
(iii)
-9
(iv)
-11
(v)
-6
Question
16
16.
The value of the polynomial
(
6
s
3
−
8
s
−
1
)
at
s
=
5
is
(i)
709
(ii)
712
(iii)
707
(iv)
708
(v)
710
Question
17
17.
Given
f
(
z
)
=
(
5
z
+
9
)
,
find
f
(
2
)
(i)
20
(ii)
22
(iii)
18
(iv)
19
(v)
16
Question
18
18.
The value of the polynomial
4
s
u
2
at
s
=
4
,
t
=
0
,
u
=
4
is
(i)
258
(ii)
255
(iii)
253
(iv)
257
(v)
256
Question
19
19.
29
✕
a
✕
a
✕
b
✕
b
✕
b
✕
c
✕
c
✕
c
=
(i)
27
a
2
b
3
c
3
(ii)
29
a
3
b
3
c
3
(iii)
32
a
2
b
3
c
3
(iv)
29
a
b
3
c
3
(v)
29
a
2
b
3
c
3
Question
20
20.
The value of the polynomial
(
5
e
f
−
2
)
at
e
=
(-2)
,
f
=
(-4)
,
g
=
(-2)
is
(i)
39
(ii)
41
(iii)
36
(iv)
37
(v)
38
Question
21
21.
Which of the following algebraic expressions is a monomial?
(i)
(
−
3
z
4
−
6
z
3
+
4
z
2
+
4
z
−
9
)
(ii)
(
−
6
z
4
+
9
z
3
−
3
z
2
+
3
z
−
7
)
(iii)
(
3
z
4
+
9
z
3
+
2
z
)
(iv)
(
−
4
z
3
)
(v)
(
2
z
3
−
3
)
Question
22
22.
The coefficient of term
o
in polynomial
(
7
o
p
+
9
o
−
9
p
−
2
)
is
(i)
9
(ii)
12
(iii)
10
(iv)
6
(v)
8
Question
23
23.
The coefficient of term
n
2
in polynomial
(
−
8
n
2
+
3
n
+
4
)
is
(i)
-10
(ii)
-9
(iii)
-7
(iv)
-6
(v)
-8
Question
24
24.
Which of the following is a like term of
(
−
8
e
f
2
d
2
)
?
(i)
8
d
e
f
2
(ii)
7
d
e
2
f
(iii)
5
d
2
e
f
(iv)
3
d
e
2
f
2
(v)
(
−
d
2
e
f
2
)
Question
25
25.
The value of the polynomial
6
at
e
=
0
,
f
=
(-5)
,
g
=
(-3)
is
(i)
4
(ii)
6
(iii)
5
(iv)
8
(v)
7
Assignment Key
1) (v)
2) (i)
3) (iv)
4) (v)
5) (iv)
6) (iii)
7) (i)
8) (v)
9) (i)
10) (iv)
11) (ii)
12) (iv)
13) (ii)
14) (v)
15) (i)
16) (i)
17) (iv)
18) (v)
19) (v)
20) (v)
21) (iv)
22) (i)
23) (v)
24) (v)
25) (ii)
