EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The value of
(
−
4
d
5
)
−
(
−
7
d
5
)
−
(
−
7
d
5
)
is
(i)
10
d
5
(ii)
12
d
5
(iii)
11
d
5
(iv)
7
d
5
(v)
9
d
5
Question
2
2.
The value of
(
9
z
2
−
8
z
)
✕
(
3
z
+
5
)
✕
(
−
6
z
2
−
z
)
is
(i)
(
−
161
z
5
−
153
z
4
+
219
z
3
+
40
z
2
)
(ii)
(
−
163
z
5
−
153
z
4
+
219
z
3
+
40
z
2
)
(iii)
(
−
159
z
5
−
153
z
4
+
219
z
3
+
40
z
2
)
(iv)
(
−
165
z
5
−
153
z
4
+
219
z
3
+
40
z
2
)
(v)
(
−
162
z
5
−
153
z
4
+
219
z
3
+
40
z
2
)
Question
3
3.
Which of the following terms can be subtracted from
w
x
2
v
?
(i)
(
−
2
v
w
x
2
)
(ii)
4
v
w
2
x
2
(iii)
(
−
v
2
w
2
x
2
)
(iv)
v
2
w
x
(v)
(
−
5
v
w
x
)
Question
4
4.
The value of
3
5
c
2
−
1
4
c
2
−
3
5
c
2
is
(i)
1
4
c
2
(ii)
(
−
1
2
c
2
)
(iii)
(
−
1
4
c
2
)
(iv)
(
−
3
4
c
2
)
(v)
(
−
1
6
c
2
)
Question
5
5.
The value of
3
✕
(
−
4
j
)
✕
(
−
3
j
)
✕
(
−
j
)
is
(i)
(
−
35
j
3
)
(ii)
(
−
37
j
3
)
(iii)
(
−
36
j
3
)
(iv)
(
−
38
j
3
)
(v)
(
−
34
j
3
)
Question
6
6.
The remainder when
(
−
3
j
4
−
9
j
3
−
9
j
2
+
2
j
−
6
)
is divided by
(
j
2
+
4
j
−
32
)
is
(i)
(
565
j
−
3750
)
(ii)
(
564
j
−
3750
)
(iii)
(
567
j
−
3750
)
(iv)
(
566
j
−
3750
)
(v)
(
568
j
−
3750
)
Question
7
7.
The value of the polynomial
(
−
9
a
2
+
3
a
b
c
2
+
2
b
2
)
at
a
=
(-1)
,
b
=
(-1)
,
c
=
3
is
(i)
21
(ii)
19
(iii)
22
(iv)
20
(v)
18
Question
8
8.
Which of the following is a like term of
7
q
r
?
(i)
5
p
q
(ii)
(
−
9
p
r
)
(iii)
4
p
(iv)
(
−
q
r
)
(v)
(
−
9
)
Question
9
9.
The value of
(
−
6
f
2
+
2
f
−
9
)
+
(
−
8
f
2
+
5
f
−
3
)
is
(i)
(
−
16
f
2
+
7
f
−
12
)
(ii)
(
−
12
f
2
+
7
f
−
12
)
(iii)
(
−
14
f
2
+
7
f
−
12
)
(iv)
(
−
15
f
2
+
7
f
−
12
)
(v)
(
−
13
f
2
+
7
f
−
12
)
Question
10
10.
The value of the polynomial
(
7
b
−
9
)
at
b
=
(-3)
is
(i)
-29
(ii)
-32
(iii)
-28
(iv)
-30
(v)
-31
Question
11
11.
The quotient when
(
−
5
q
5
+
q
4
+
8
q
3
+
7
q
2
−
4
q
+
7
)
is divided by
(
q
−
1
)
is
(i)
(
−
5
q
4
−
4
q
3
+
4
q
2
+
11
q
+
7
)
(ii)
(
−
8
q
4
−
4
q
3
+
4
q
2
+
11
q
+
7
)
(iii)
(
−
2
q
4
−
4
q
3
+
4
q
2
+
11
q
+
7
)
(iv)
(
−
4
q
4
−
4
q
3
+
4
q
2
+
11
q
+
7
)
(v)
(
−
6
q
4
−
4
q
3
+
4
q
2
+
11
q
+
7
)
Question
12
12.
The value of
(
−
8
n
o
p
)
+
(
−
3
n
o
p
)
is
(i)
(
−
11
n
o
p
)
(ii)
(
−
10
n
o
p
)
(iii)
(
−
12
n
o
p
)
(iv)
(
−
14
n
o
p
)
(v)
(
−
8
n
o
p
)
Question
13
13.
Which of the following algebraic expressions is a constant polynomial?
(i)
6
(ii)
8
s
2
t
u
3
(iii)
(
2
s
3
t
3
u
3
+
4
t
)
(iv)
(
−
s
3
t
u
3
+
6
s
2
t
3
u
−
6
s
2
u
3
+
2
t
2
u
2
)
(v)
(
−
8
s
t
2
u
+
5
s
t
u
3
−
s
u
2
)
Question
14
14.
The value of
2
s
(
s
2
t
2
u
+
3
u
2
)
is
(i)
(
2
s
3
t
2
u
+
4
s
u
2
)
(ii)
(
2
s
3
t
2
u
+
6
s
u
2
)
(iii)
(
3
s
3
t
2
u
+
6
s
u
2
)
(iv)
(
2
s
3
t
2
u
+
9
s
u
2
)
(v)
(
s
3
t
2
u
+
6
s
u
2
)
Question
15
15.
Which of the following terms can be added to
(
−
1
)
?
(i)
(
−
5
t
2
)
(ii)
(
−
4
t
)
(iii)
(
−
6
t
3
)
(iv)
(
−
2
)
(v)
(
−
7
t
4
)
Question
16
16.
The value of
(
4
n
2
o
+
8
n
2
+
7
o
2
−
9
)
+
(
n
2
o
+
5
n
2
+
2
n
o
2
+
3
)
is
(i)
(
6
n
2
o
+
13
n
2
+
2
n
o
2
+
7
o
2
−
6
)
(ii)
(
5
n
2
o
+
16
n
2
+
2
n
o
2
+
7
o
2
−
6
)
(iii)
(
4
n
2
o
+
13
n
2
+
2
n
o
2
+
7
o
2
−
6
)
(iv)
(
5
n
2
o
+
13
n
2
+
2
n
o
2
+
7
o
2
−
6
)
(v)
(
5
n
2
o
+
10
n
2
+
2
n
o
2
+
7
o
2
−
6
)
Question
17
17.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
(
9
m
5
−
7
m
4
+
3
m
3
−
6
m
2
−
4
)
(ii)
(
−
5
m
3
+
m
2
−
9
m
+
6
)
(iii)
(
9
m
+
8
)
(iv)
(
−
9
m
2
+
8
m
+
4
)
(v)
(
−
5
)
Question
18
18.
The value of
(
3
x
4
−
6
x
−
9
)
+
(
3
x
5
+
4
x
4
−
x
3
)
+
(
−
5
x
3
−
7
x
2
+
2
)
+
(
−
5
x
5
−
5
x
4
+
x
2
)
is
(i)
(
−
x
5
+
2
x
4
−
6
x
3
−
6
x
2
−
6
x
−
7
)
(ii)
(
−
5
x
5
+
2
x
4
−
6
x
3
−
6
x
2
−
6
x
−
7
)
(iii)
(
2
x
4
−
6
x
3
−
6
x
2
−
6
x
−
7
)
(iv)
(
−
3
x
5
+
2
x
4
−
6
x
3
−
6
x
2
−
6
x
−
7
)
(v)
(
−
2
x
5
+
2
x
4
−
6
x
3
−
6
x
2
−
6
x
−
7
)
Question
19
19.
The value of
1
3
s
5
−
3
5
s
5
−
2
3
s
5
is
(i)
(
−
14
13
s
5
)
(ii)
(
−
4
5
s
5
)
(iii)
(
−
14
15
s
5
)
(iv)
(
−
14
17
s
5
)
(v)
(
−
16
15
s
5
)
Question
20
20.
The value of
1
2
r
s
−
1
4
r
s
is
(i)
1
6
r
s
(ii)
3
4
r
s
(iii)
(
−
1
4
r
s
)
(iv)
1
4
r
s
(v)
1
2
r
s
Question
21
21.
The remainder when
(
−
5
e
4
+
5
e
3
+
8
e
2
−
9
e
)
is divided by
(
e
2
−
10
e
+
21
)
is
(i)
(
−
2434
e
+
7077
)
(ii)
(
−
2436
e
+
7077
)
(iii)
(
−
2433
e
+
7077
)
(iv)
(
−
2435
e
+
7077
)
(v)
(
−
2431
e
+
7077
)
Question
22
22.
The value of
7
h
✕
(
−
3
f
h
)
✕
7
f
✕
8
f
h
is
(i)
(
−
1175
f
3
h
3
)
(ii)
(
−
1173
f
3
h
3
)
(iii)
(
−
1179
f
3
h
3
)
(iv)
(
−
1177
f
3
h
3
)
(v)
(
−
1176
f
3
h
3
)
Question
23
23.
Which of the following algebraic expressions is a monomial?
(i)
(
−
7
q
4
)
(ii)
(
4
q
3
−
5
q
2
−
3
q
)
(iii)
(
−
5
q
4
+
4
q
3
+
8
q
2
−
q
−
6
)
(iv)
(
2
q
4
+
2
q
3
−
8
q
2
−
8
q
+
9
)
(v)
(
2
q
2
−
8
q
)
Question
24
24.
The value of
(
−
5
v
)
✕
6
is
(i)
(
−
32
v
)
(ii)
(
−
29
v
)
(iii)
(
−
30
v
)
(iv)
(
−
31
v
)
(v)
(
−
27
v
)
Question
25
25.
(
12
x
4
+
15
x
3
)
÷
3
x
2
(i)
(
4
x
2
+
5
x
)
(ii)
(
4
x
2
−
5
x
)
(iii)
(
3
x
2
+
5
x
)
(iv)
(
4
x
2
+
6
x
)
(v)
(
−
4
x
2
+
5
x
)
Assignment Key
1) (i)
2) (v)
3) (i)
4) (iii)
5) (iii)
6) (iv)
7) (iv)
8) (iv)
9) (iii)
10) (iv)
11) (i)
12) (i)
13) (i)
14) (ii)
15) (iv)
16) (iv)
17) (iv)
18) (v)
19) (iii)
20) (iv)
21) (i)
22) (v)
23) (i)
24) (iii)
25) (i)
