EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Factorisation
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Factorize
(
9
x
+
4
y
)
2
−
2
(
9
x
+
4
y
)
(
7
x
+
2
y
)
+
(
7
x
+
2
y
)
2
(i)
(
16
x
+
6
y
)
2
(ii)
(
2
x
+
2
y
)
2
(iii)
(
9
x
+
4
y
)
(
7
x
+
2
y
)
(iv)
(
−
x
−
2
y
)
2
(v)
(
3
x
+
2
y
)
2
Question
2
2.
Factorize
a
2
b
2
−
b
2
c
2
(i)
(
a
c
+
b
c
)
(
a
c
−
b
c
)
(ii)
(
a
b
+
b
c
)
(
a
c
+
b
c
)
(iii)
(
a
b
+
b
c
)
(
a
b
+
b
c
)
(iv)
(
a
b
+
b
c
)
(
a
b
−
b
c
)
(v)
(
a
b
−
b
c
)
(
a
b
−
b
c
)
Question
3
3.
Factorize
(
x
2
+
6
x
+
5
)
(i)
(
x
−
5
)
(
x
−
1
)
(ii)
(
x
−
5
)
(
x
+
1
)
(iii)
(
x
+
5
)
(
x
−
1
)
(iv)
(
x
+
5
)
(
x
+
1
)
Question
4
4.
Factorize
(
x
3
−
63
x
−
162
)
(i)
(
x
−
9
)
(
−
x
+
6
)
(
−
x
+
3
)
(ii)
(
x
−
9
)
6
3
(iii)
(
x
−
9
)
(
x
+
6
)
(
x
+
3
)
(iv)
(
x
−
9
)
(
3
x
+
6
)
(
4
x
+
3
)
(v)
(
x
−
9
)
(
2
x
+
6
)
(
2
x
+
3
)
Question
5
5.
Factorize
(
8
x
+
7
y
)
2
+
2
(
8
x
+
7
y
)
(
6
x
+
2
y
)
+
(
6
x
+
2
y
)
2
(i)
(
2
x
+
5
y
)
2
(ii)
(
−
2
x
−
4
y
)
2
(iii)
(
14
x
+
9
y
)
2
(iv)
(
15
x
+
9
y
)
2
(v)
(
8
x
+
7
y
)
(
6
x
+
2
y
)
Question
6
6.
Find the number of numbers between
10
2
and
11
2
(i)
22
(ii)
20
(iii)
21
(iv)
18
(v)
19
Question
7
7.
Which of the following is not a factor of
29
x
4
y
4
z
4
?
(i)
x
4
y
5
z
5
(ii)
x
4
y
4
z
3
(iii)
x
3
y
4
z
4
(iv)
x
2
y
2
z
3
(v)
x
4
y
3
z
4
Question
8
8.
Which of the following is a factor of
20
x
y
z
?
(i)
4
x
z
2
(ii)
4
x
(iii)
4
x
y
2
(iv)
x
2
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.
Which of the following is a factor of
(
2
x
4
+
y
2
z
3
)
?
(i)
y
(ii)
x
z
(iii)
y
2
z
3
(iv)
2
x
4
(v)
no factors
Question
11
11.
Factorize
(
64
x
2
−
36
y
2
)
(i)
(
8
x
+
12
y
)
(
8
x
−
3
y
)
(ii)
(
8
x
+
6
y
)
(
8
x
−
6
y
)
(iii)
(
8
x
−
6
y
)
(
8
x
−
6
y
)
(iv)
(
8
x
+
6
y
)
(
8
x
+
6
y
)
(v)
(
8
x
−
12
y
)
(
8
x
+
3
y
)
Question
12
12.
Factorize
(
27
x
y
+
18
y
2
)
(i)
9
y
(
3
x
+
2
y
)
(ii)
9
x
(
3
x
+
2
y
)
(iii)
9
y
(
−
3
x
−
2
y
)
(iv)
9
y
(
3
x
−
2
y
)
(v)
9
x
(
3
x
−
2
y
)
Question
13
13.
Factorize
(
x
2
−
36
)
(i)
(
x
−
6
)
(
x
−
6
)
(ii)
(
x
+
6
)
(
x
+
6
)
(iii)
(
x
−
3
)
(
x
+
12
)
(iv)
(
x
+
3
)
(
x
−
12
)
(v)
(
x
+
6
)
(
x
−
6
)
Question
14
14.
Factorize
(
a
2
−
b
2
)
(i)
b
(
−
b
)
(ii)
(
−
a
−
b
)
(
−
a
−
4
b
)
(iii)
(
−
2
a
+
b
)
(
−
2
a
−
b
)
(iv)
(
−
a
+
b
)
(
−
a
−
b
)
(v)
(
−
a
+
4
b
)
(
−
a
+
b
)
Question
15
15.
Factorize
a
2
−
b
2
−
c
2
−
2
b
c
(i)
(
a
−
b
−
c
)
(
a
+
b
−
c
)
(ii)
(
a
+
b
+
c
)
(
a
+
b
−
c
)
(iii)
(
a
+
b
+
c
)
(
a
−
b
+
c
)
(iv)
(
a
−
b
−
c
)
(
a
−
b
+
c
)
(v)
(
a
−
b
−
c
)
(
a
+
b
+
c
)
Question
16
16.
Factorize
(
10
x
2
−
20
x
y
−
30
y
2
)
(i)
(
5
x
−
5
y
)
(
2
x
−
6
y
)
(ii)
(
5
x
+
5
y
)
(
2
x
+
6
y
)
(iii)
(
5
x
+
5
y
)
(
2
x
−
6
y
)
(iv)
(
5
x
−
5
y
)
(
2
x
+
6
y
)
(v)
(
5
x
+
5
y
)
(
5
x
+
5
y
)
Question
17
17.
Factorize
(
16
a
2
+
24
a
b
+
16
a
c
+
9
b
2
+
12
b
c
+
4
c
2
)
(i)
(
−
5
a
−
3
b
−
2
c
)
(
−
5
a
−
3
b
−
2
c
)
(ii)
(
−
4
a
−
2
c
)
(
−
4
a
−
2
c
)
(iii)
(
−
3
a
−
3
b
−
2
c
)
(
−
3
a
−
3
b
−
2
c
)
(iv)
(
−
4
a
−
3
b
−
2
c
)
(
−
4
a
−
3
b
−
2
c
)
(v)
(
−
4
a
−
5
b
−
2
c
)
(
−
4
a
−
6
b
−
2
c
)
Question
18
18.
Which of the following gives the H.C.F of two or more polynomials?
(i)
( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
(ii)
( Product of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
(iii)
( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
(iv)
( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
Question
19
19.
Factorize
(
100
x
2
−
81
)
(i)
(
10
x
−
9
)
(
10
x
−
9
)
(ii)
(
10
x
+
3
)
(
10
x
−
27
)
(iii)
(
10
x
−
3
)
(
10
x
+
27
)
(iv)
(
10
x
+
9
)
(
10
x
−
9
)
(v)
(
10
x
+
9
)
(
10
x
+
9
)
Question
20
20.
Factorize
(
a
x
+
b
y
)
2
−
(
a
x
−
b
y
)
2
(i)
2
a
x
b
y
(ii)
2
(
a
x
)
2
(
b
y
)
2
(iii)
4
a
x
b
y
(iv)
4
(
a
x
)
2
(
b
y
)
2
Question
21
21.
Which of the following are true?
a)
A binomial may have degree 3
b)
Every polynomial is a binomial
c)
Degree of zero polynomial is zero
d)
π
r
2
is a monomial
e)
A binomial has two and only two terms
(i)
{b,a,d}
(ii)
{a,d,e}
(iii)
{b,a}
(iv)
{b,c,e}
(v)
{c,d}
Question
22
22.
Find the H.C.F. of
50
x
3
y
z
and
170
x
2
y
z
3
(i)
10
x
2
y
z
(ii)
10
x
3
y
z
(iii)
850
x
3
y
z
3
(iv)
10
x
2
y
3
z
(v)
10
x
2
y
z
3
Question
23
23.
Factorize
(
2
x
2
−
13
x
−
7
)
(i)
(
2
x
+
1
)
(
−
7
)
(ii)
(
2
x
+
1
)
(
4
x
−
7
)
(iii)
(
2
x
+
1
)
(
−
x
−
7
)
(iv)
(
2
x
+
1
)
(
x
−
7
)
(v)
(
2
x
+
1
)
(
2
x
−
7
)
Question
24
24.
Find the H.C.F. of
(
x
2
−
11
x
+
24
)
and
(
x
2
−
9
x
+
18
)
(i)
(
x
−
6
)
(ii)
(
x
−
3
)
(iii)
(
2
x
−
8
)
(iv)
(
2
x
−
3
)
(v)
(
x
−
8
)
Question
25
25.
Find the H.C.F. of
56
x
2
and
24
x
2
(i)
8
x
5
(ii)
8
x
3
(iii)
8
x
4
(iv)
8
x
2
(v)
168
x
2
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (iii)
5) (iii)
6) (ii)
7) (i)
8) (ii)
9) (i)
10) (v)
11) (ii)
12) (i)
13) (v)
14) (iv)
15) (v)
16) (iii)
17) (iv)
18) (iii)
19) (iv)
20) (iii)
21) (ii)
22) (i)
23) (iv)
24) (ii)
25) (iv)
