EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The value of
(
−
8
j
2
k
2
)
+
j
2
k
2
+
2
j
2
k
2
+
2
j
2
k
2
is
(i)
(
−
4
j
2
k
2
)
(ii)
(
−
3
j
2
k
2
)
(iii)
(
−
j
2
k
2
)
(iv)
(
−
5
j
2
k
2
)
(v)
(
−
2
j
2
k
2
)
Question
2
2.
The value of
1
3
✕
1
2
v
✕
1
2
is
(i)
1
4
v
(ii)
1
14
v
(iii)
1
12
v
(iv)
(
−
1
12
v
)
(v)
1
10
v
Question
3
3.
The remainder when
(
9
m
2
+
2
m
)
is divided by
(
m
−
1
)
is
(i)
11
(ii)
10
(iii)
14
(iv)
12
(v)
8
Question
4
4.
The value of the polynomial
(
−
4
v
2
w
x
+
5
v
w
2
−
9
w
x
2
)
at
v
=
0
,
w
=
1
,
x
=
(-5)
is
(i)
-223
(ii)
-225
(iii)
-228
(iv)
-224
(v)
-226
Question
5
5.
The value of
1
2
j
k
✕
1
2
✕
1
3
k
✕
1
3
k
is
(i)
1
36
j
k
3
(ii)
1
34
j
k
3
(iii)
(
−
1
36
j
k
3
)
(iv)
1
38
j
k
3
(v)
1
12
j
k
3
Question
6
6.
Which of the following terms can be subtracted from
(
−
4
k
2
l
2
j
2
)
?
(i)
(
−
2
j
2
k
l
2
)
(ii)
(
−
4
j
2
k
2
l
2
)
(iii)
(
−
j
2
k
l
)
(iv)
4
j
k
2
l
2
(v)
(
−
9
j
2
k
2
l
)
Question
7
7.
The value of
6
a
2
+
(
−
5
a
2
)
+
(
−
8
a
2
)
is
(i)
(
−
7
a
2
)
(ii)
(
−
8
a
2
)
(iii)
(
−
5
a
2
)
(iv)
(
−
9
a
2
)
(v)
(
−
6
a
2
)
Question
8
8.
Which of the following terms can be subtracted from
(
−
7
c
2
)
?
(i)
4
c
3
(ii)
(
−
6
c
)
(iii)
c
2
(iv)
6
(v)
2
c
4
Question
9
9.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
(
−
6
)
(ii)
(
−
7
t
3
+
t
2
+
7
t
+
5
)
(iii)
(
−
t
2
−
7
t
+
8
)
(iv)
(
−
8
t
5
+
5
t
4
−
6
t
3
−
3
t
−
2
)
(v)
(
6
t
−
2
)
Question
10
10.
Which of the following terms can be subtracted from
2
?
(i)
7
k
2
l
2
(ii)
(
−
8
j
2
k
)
(iii)
(
−
9
j
2
k
2
l
2
)
(iv)
8
j
2
k
2
l
(v)
(
−
5
)
Question
11
11.
Which of the following is a like term of
(
−
3
u
2
v
t
)
?
(i)
(
−
3
t
u
2
v
2
)
(ii)
5
t
u
2
v
(iii)
(
−
4
t
u
v
)
(iv)
(
−
t
2
u
2
v
2
)
(v)
(
−
5
t
u
v
2
)
Question
12
12.
The value of
(
8
x
4
+
9
x
2
+
2
x
)
−
(
4
x
2
−
7
x
+
6
)
−
(
7
x
4
−
6
x
2
−
x
)
is
(i)
(
11
x
2
+
10
x
−
6
)
(ii)
(
2
x
4
+
11
x
2
+
10
x
−
6
)
(iii)
(
3
x
4
+
11
x
2
+
10
x
−
6
)
(iv)
(
x
4
+
11
x
2
+
10
x
−
6
)
(v)
(
−
x
4
+
11
x
2
+
10
x
−
6
)
Question
13
13.
The sum of the expressions
(
−
3
w
−
8
)
,
(
−
5
w
−
6
)
,
(
−
9
w
−
19
)
,
(
4
w
−
2
)
,
(
4
w
+
7
)
is
(i)
(
−
9
w
−
26
)
(ii)
(
−
9
w
−
30
)
(iii)
(
−
8
w
−
28
)
(iv)
(
−
9
w
−
28
)
(v)
(
−
10
w
−
28
)
Question
14
14.
The value of
(
−
5
b
c
)
+
5
b
c
is
(i)
1
(ii)
3
(iii)
0
(iv)
(
−
1
)
(v)
(
−
3
)
Question
15
15.
The value of
(
3
n
+
3
o
−
5
)
+
(
7
n
o
−
n
−
9
)
is
(i)
(
7
n
o
−
n
+
3
o
−
14
)
(ii)
(
7
n
o
+
4
n
+
3
o
−
14
)
(iii)
(
6
n
o
+
2
n
+
3
o
−
14
)
(iv)
(
7
n
o
+
2
n
+
3
o
−
14
)
(v)
(
8
n
o
+
2
n
+
3
o
−
14
)
Question
16
16.
The sum of the terms
(
−
5
f
)
,
(
−
7
f
)
,
8
e
f
,
(
−
5
e
f
)
,
(
−
9
e
)
is
(i)
(
3
e
f
−
9
e
−
12
f
)
(ii)
(
3
e
f
−
6
e
−
12
f
)
(iii)
(
2
e
f
−
9
e
−
12
f
)
(iv)
(
4
e
f
−
9
e
−
12
f
)
(v)
(
3
e
f
−
12
e
−
12
f
)
Question
17
17.
The value of
(
8
x
−
9
)
✕
(
−
3
x
+
2
)
is
(i)
(
−
22
x
2
+
43
x
−
18
)
(ii)
(
−
27
x
2
+
43
x
−
18
)
(iii)
(
−
23
x
2
+
43
x
−
18
)
(iv)
(
−
25
x
2
+
43
x
−
18
)
(v)
(
−
24
x
2
+
43
x
−
18
)
Question
18
18.
The value of
(
9
s
+
8
)
✕
(
−
2
s
t
+
t
)
is
(i)
(
−
17
s
2
t
−
7
s
t
+
8
t
)
(ii)
(
−
19
s
2
t
−
7
s
t
+
8
t
)
(iii)
(
−
18
s
2
t
−
9
s
t
+
8
t
)
(iv)
(
−
18
s
2
t
−
7
s
t
+
8
t
)
(v)
(
−
18
s
2
t
−
4
s
t
+
8
t
)
Question
19
19.
The remainder when
(
7
z
4
+
6
z
3
+
6
z
2
−
6
z
+
9
)
is divided by
(
z
+
4
)
is
(i)
1538
(ii)
1539
(iii)
1535
(iv)
1537
(v)
1536
Question
20
20.
The value of
3
4
g
h
i
+
1
5
g
h
i
is
(i)
19
20
g
h
i
(ii)
21
20
g
h
i
(iii)
19
22
g
h
i
(iv)
19
18
g
h
i
(v)
17
20
g
h
i
Question
21
21.
The product of the terms
(
−
3
v
)
,
(
−
5
v
w
)
,
(
−
3
u
v
)
,
5
,
(
−
5
)
is
(i)
1127
u
v
3
w
(ii)
1122
u
v
3
w
(iii)
1124
u
v
3
w
(iv)
1126
u
v
3
w
(v)
1125
u
v
3
w
Question
22
22.
The value of
2
5
k
−
2
3
k
is
(i)
(
−
2
5
k
)
(ii)
(
−
2
15
k
)
(iii)
(
−
4
15
k
)
(iv)
(
−
4
13
k
)
(v)
(
−
4
17
k
)
Question
23
23.
The quotient when
(
−
6
u
−
3
)
is divided by
(
u
−
7
)
is
(i)
(
−
5
)
(ii)
(
−
3
)
(iii)
(
−
8
)
(iv)
(
−
6
)
(v)
(
−
7
)
Question
24
24.
The value of
1
4
(
1
2
h
+
2
3
)
is
(i)
(
1
8
h
+
1
6
)
(ii)
(
1
8
h
−
1
6
)
(iii)
(
1
6
h
+
1
6
)
(iv)
(
1
8
h
+
1
2
)
(v)
(
1
10
h
+
1
6
)
Question
25
25.
Which of the following terms can be added to
7
?
(i)
(
−
8
)
(ii)
(
−
6
g
h
)
(iii)
8
f
(iv)
(
−
6
f
h
)
(v)
6
f
g
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (ii)
5) (i)
6) (ii)
7) (i)
8) (iii)
9) (iii)
10) (v)
11) (ii)
12) (iv)
13) (iv)
14) (iii)
15) (iv)
16) (i)
17) (v)
18) (iv)
19) (iv)
20) (i)
21) (v)
22) (iii)
23) (iv)
24) (i)
25) (i)