EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The quotient when
(
2
r
2
+
4
r
+
7
)
is divided by
(
r
+
4
)
is
(i)
(
r
−
4
)
(ii)
(
−
r
−
4
)
(iii)
(
3
r
−
4
)
(iv)
(
2
r
−
4
)
(v)
(
4
r
−
4
)
Question
2
2.
Which of the following terms can be added to
(
−
9
f
e
g
)
?
(i)
5
e
f
g
(ii)
5
e
2
f
g
(iii)
(
−
4
e
2
f
g
2
)
(iv)
4
e
2
f
2
g
2
(v)
(
−
5
e
f
2
g
)
Question
3
3.
The product of the terms
2
,
(
−
3
y
)
,
5
y
,
3
,
5
is
(i)
(
−
447
y
2
)
(ii)
(
−
449
y
2
)
(iii)
(
−
451
y
2
)
(iv)
(
−
453
y
2
)
(v)
(
−
450
y
2
)
Question
4
4.
The remainder when
(
8
h
4
+
7
h
3
+
7
h
2
−
5
h
)
is divided by
(
h
2
−
2
h
−
35
)
is
(i)
(
1467
h
+
11655
)
(ii)
(
1463
h
+
11655
)
(iii)
(
1465
h
+
11655
)
(iv)
(
1466
h
+
11655
)
(v)
(
1469
h
+
11655
)
Question
5
5.
Which of the following terms is a like term of
4
r
4
?
(i)
5
r
3
(ii)
(
−
4
)
(iii)
5
r
2
(iv)
5
r
(v)
(
−
8
r
4
)
Question
6
6.
The value of
(
2
j
2
−
2
j
+
2
)
−
(
j
2
−
j
−
8
)
is
(i)
(
j
2
−
j
+
10
)
(ii)
(
−
j
+
10
)
(iii)
(
4
j
2
−
j
+
10
)
(iv)
(
2
j
2
−
j
+
10
)
(v)
(
−
j
2
−
j
+
10
)
Question
7
7.
The value of
2
3
v
(
1
4
v
2
+
1
2
w
2
)
is
(i)
(
1
4
v
3
+
1
3
v
w
2
)
(ii)
(
1
8
v
3
+
1
3
v
w
2
)
(iii)
(
1
6
v
3
−
1
3
v
w
2
)
(iv)
(
1
6
v
3
+
1
3
v
w
2
)
(v)
(
1
6
v
3
+
v
w
2
)
Question
8
8.
The value of
1
2
j
2
−
1
3
j
2
−
1
2
j
2
is
(i)
(
−
1
5
j
2
)
(ii)
(
−
1
3
j
2
)
(iii)
(
−
j
2
)
(iv)
1
3
j
2
Question
9
9.
The value of the polynomial
(
8
e
+
7
)
at
e
=
3
is
(i)
28
(ii)
31
(iii)
30
(iv)
32
(v)
34
Question
10
10.
The value of
(
−
2
p
2
q
2
r
2
)
−
(
−
8
p
2
q
2
r
2
)
is
(i)
7
p
2
q
2
r
2
(ii)
6
p
2
q
2
r
2
(iii)
4
p
2
q
2
r
2
(iv)
8
p
2
q
2
r
2
(v)
5
p
2
q
2
r
2
Question
11
11.
The value of
4
5
x
✕
2
5
x
✕
1
3
x
is
(i)
8
75
x
3
(ii)
2
15
x
3
(iii)
8
77
x
3
(iv)
8
73
x
3
(v)
2
25
x
3
Question
12
12.
The remainder when
(
−
4
n
)
is divided by
(
−
9
)
is
(i)
0
(ii)
(
−
3
)
(iii)
3
(iv)
1
(v)
(
−
1
)
Question
13
13.
The value of
8
m
3
n
3
o
3
+
m
3
n
3
o
3
+
7
m
3
n
3
o
3
+
(
−
2
m
3
n
3
o
3
)
is
(i)
13
m
3
n
3
o
3
(ii)
14
m
3
n
3
o
3
(iii)
15
m
3
n
3
o
3
(iv)
11
m
3
n
3
o
3
(v)
16
m
3
n
3
o
3
Question
14
14.
The quotient when
(
−
6
f
)
is divided by
(
−
8
)
is
(i)
3
4
f
(ii)
5
4
f
(iii)
3
2
f
(iv)
1
4
f
(v)
1
2
f
Question
15
15.
The sum of the expressions
(
−
2
j
−
8
)
,
(
3
j
+
3
)
,
(
−
6
j
+
7
)
,
(
−
j
+
1
)
,
(
5
j
−
2
)
is
(i)
(
−
j
−
1
)
(ii)
1
(iii)
(
−
j
+
3
)
(iv)
(
−
j
+
1
)
(v)
(
−
2
j
+
1
)
Question
16
16.
Which of the following is a like term of
(
−
r
s
2
)
?
(i)
2
r
2
s
(ii)
(
−
s
2
)
(iii)
8
r
s
2
(iv)
(
−
4
r
)
(v)
2
s
Question
17
17.
The value of
3
4
e
✕
1
5
e
✕
1
2
e
is
(i)
1
40
e
3
(ii)
3
40
e
3
(iii)
1
14
e
3
(iv)
1
8
e
3
(v)
3
38
e
3
Question
18
18.
The value of
1
2
c
d
e
+
1
2
c
d
e
is
(i)
(
−
c
d
e
)
(ii)
3
c
d
e
(iii)
c
d
e
(iv)
2
c
d
e
(v)
0
Question
19
19.
The value of
(
8
i
+
7
j
k
−
k
)
−
(
9
i
j
k
−
5
j
−
4
)
is
(i)
(
−
10
i
j
k
+
8
i
+
7
j
k
+
5
j
−
k
+
4
)
(ii)
(
−
9
i
j
k
+
10
i
+
7
j
k
+
5
j
−
k
+
4
)
(iii)
(
−
8
i
j
k
+
8
i
+
7
j
k
+
5
j
−
k
+
4
)
(iv)
(
−
9
i
j
k
+
8
i
+
7
j
k
+
5
j
−
k
+
4
)
(v)
(
−
9
i
j
k
+
5
i
+
7
j
k
+
5
j
−
k
+
4
)
Question
20
20.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
(
−
5
q
5
+
2
q
4
+
2
q
2
−
6
q
+
1
)
(ii)
3
(iii)
(
−
4
q
2
+
9
q
−
7
)
(iv)
(
q
+
5
)
(v)
(
−
2
q
3
−
7
q
2
+
5
q
+
8
)
Question
21
21.
The expanded form of
(
3
x
−
2
)
(
x
+
2
)
is
(i)
(
x
2
+
4
x
−
4
)
(ii)
(
3
x
2
+
4
x
−
4
)
(iii)
(
2
x
2
+
4
x
−
4
)
(iv)
(
4
x
2
+
4
x
−
4
)
(v)
(
5
x
2
+
4
x
−
4
)
Question
22
22.
The value of
(
−
2
s
t
)
−
3
s
t
is
(i)
(
−
2
s
t
)
(ii)
(
−
5
s
t
)
(iii)
(
−
6
s
t
)
(iv)
(
−
4
s
t
)
(v)
(
−
8
s
t
)
Question
23
23.
Which of the following are not polynomials?
a)
(
3
x
+
4
y
)
b)
(
9
x
−
10
y
)
c)
√x
d)
100
x
2
e)
100
x
2
+
1
100
x
2
(i)
{a,c}
(ii)
{c,e}
(iii)
{b,e}
(iv)
{d,a,c}
(v)
{b,e,c}
Question
24
24.
The value of
1
3
s
t
✕
1
2
s
✕
1
3
s
✕
3
4
s
is
(i)
1
24
s
4
t
(ii)
1
26
s
4
t
(iii)
(
−
1
24
s
4
t
)
(iv)
1
22
s
4
t
(v)
1
8
s
4
t
Question
25
25.
The sum of the terms
9
,
(
−
6
)
,
(
−
2
)
,
(
−
3
j
)
,
(
−
7
j
)
is
(i)
(
−
9
j
+
1
)
(ii)
(
−
10
j
+
4
)
(iii)
(
−
11
j
+
1
)
(iv)
(
−
10
j
+
1
)
(v)
(
−
10
j
−
1
)
Assignment Key
1) (iv)
2) (i)
3) (v)
4) (iv)
5) (v)
6) (i)
7) (iv)
8) (ii)
9) (ii)
10) (ii)
11) (i)
12) (i)
13) (ii)
14) (i)
15) (iv)
16) (iii)
17) (ii)
18) (iii)
19) (iv)
20) (iii)
21) (ii)
22) (ii)
23) (ii)
24) (i)
25) (iv)
