EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products As Identities
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
The value of
39
2
3
✕
39
1
4
is
(i)
1557
1
12
(ii)
1557
1
10
(iii)
1556
3
4
(iv)
1556
11
14
(v)
1556
11
12
Question
2
2.
The value of
301
✕
299
is
(i)
89997
(ii)
90002
(iii)
89998
(iv)
89999
(v)
90000
Question
3
3.
(
−
3
a
+
2
b
)
2
(i)
(
10
a
2
−
12
a
b
+
4
b
2
)
(ii)
(
9
a
2
−
10
a
b
+
4
b
2
)
(iii)
(
8
a
2
−
12
a
b
+
4
b
2
)
(iv)
(
9
a
2
−
15
a
b
+
4
b
2
)
(v)
(
9
a
2
−
12
a
b
+
4
b
2
)
Question
4
4.
If
(
6
x
+
1
2
x
)
=
3
,
find the value of
(
36
x
2
+
1
4
x
2
)
(i)
2
(ii)
6
(iii)
0
(iv)
3
(v)
4
Question
5
5.
The value of
401
1
2
✕
399
3
4
is
(i)
160499
5
8
(ii)
160499
1
2
(iii)
160499
3
8
(iv)
160499
5
6
(v)
160499
7
8
Question
6
6.
If
(
x
+
1
x
)
=
9
,
find the value of
(
x
4
+
1
x
4
)
(i)
6239
(ii)
6238
(iii)
6240
(iv)
6241
(v)
6236
Question
7
7.
Expand
(
x
−
1
)
(
x
+
1
)
(
x
2
+
1
)
(i)
x
5
+
x
4
+
x
3
+
x
2
(ii)
−
2
x
3
−
2
x
(iii)
3
x
5
+
6
x
3
+
3
x
4
+
6
x
2
+
3
x
+
3
(iv)
x
4
−
1
Question
8
8.
(
−
5
a
+
5
b
)
(
25
a
2
+
25
a
b
+
25
b
2
)
(i)
(
−
124
a
3
+
125
b
3
)
(ii)
(
−
126
a
3
+
125
b
3
)
(iii)
(
−
125
a
3
+
125
b
3
)
(iv)
(
−
125
a
3
+
122
b
3
)
(v)
(
−
125
a
3
+
127
b
3
)
Question
9
9.
Expand
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
+
1
x
2
)
(i)
x
4
−
1
x
4
(ii)
−
x
−
2
x
3
−
1
x
7
(iii)
4
x
5
+
7
x
+
4
x
3
+
7
x
+
3
x
3
+
3
x
5
(iv)
x
5
+
x
3
+
x
+
1
x
Question
10
10.
(
3
2
a
−
3
b
)
(
9
4
a
2
+
9
2
a
b
+
9
b
2
)
(i)
(
27
8
a
3
−
24
b
3
)
(ii)
(
27
8
a
3
−
27
b
3
)
(iii)
(
33
10
a
3
−
27
b
3
)
(iv)
(
27
8
a
3
−
30
b
3
)
(v)
(
7
2
a
3
−
27
b
3
)
Question
11
11.
(
a
−
b
)
2
(i)
(
a
2
−
2
a
b
+
b
2
)
(ii)
(
a
2
+
b
2
)
(iii)
(
a
2
−
4
a
b
+
b
2
)
(iv)
(
2
a
2
−
2
a
b
+
b
2
)
(v)
(
−
2
a
b
+
b
2
)
Question
12
12.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(i)
(
2
a
3
−
b
3
)
(ii)
(
a
3
+
b
3
)
(iii)
(
−
b
3
)
(iv)
(
a
3
−
b
3
)
(v)
(
a
3
−
4
b
3
)
Question
13
13.
(
3
2
a
+
3
2
b
)
(
3
2
a
−
3
2
b
)
(i)
(
13
6
a
2
−
9
4
b
2
)
(ii)
(
9
4
a
2
−
7
4
b
2
)
(iii)
(
9
4
a
2
−
9
4
b
2
)
(iv)
(
5
2
a
2
−
9
4
b
2
)
(v)
(
9
4
a
2
−
11
4
b
2
)
Question
14
14.
(
3
2
a
+
2
b
−
2
3
c
)
(
9
4
a
2
−
3
a
b
+
a
c
+
4
b
2
+
4
3
b
c
+
4
9
c
2
)
(i)
(
27
8
a
3
+
8
a
b
c
+
8
b
3
−
8
27
c
3
)
(ii)
(
27
8
a
3
+
6
a
b
c
+
8
b
3
−
8
27
c
3
)
(iii)
(
7
2
a
3
+
6
a
b
c
+
8
b
3
−
8
27
c
3
)
(iv)
(
27
8
a
3
+
4
a
b
c
+
8
b
3
−
8
27
c
3
)
(v)
(
33
10
a
3
+
6
a
b
c
+
8
b
3
−
8
27
c
3
)
Question
15
15.
The value of
27
✕
22
is
(i)
594
(ii)
593
(iii)
595
(iv)
596
(v)
592
Question
16
16.
(
a
+
b
+
c
)
2
(i)
(
a
2
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(ii)
(
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iii)
(
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iv)
(
2
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(v)
(
a
2
+
4
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
Question
17
17.
If
(
2
a
+
3
b
)
=
12
,
a
b
=
6
, find
(
16
a
4
+
81
b
4
)
(i)
2591
(ii)
2594
(iii)
2589
(iv)
2593
(v)
2592
Question
18
18.
The value of
56
✕
56
is
(i)
3137
(ii)
3139
(iii)
3135
(iv)
3136
(v)
3133
Question
19
19.
(
3
2
a
−
3
2
b
)
2
(i)
(
13
6
a
2
−
9
2
a
b
+
9
4
b
2
)
(ii)
(
9
4
a
2
−
11
2
a
b
+
9
4
b
2
)
(iii)
(
5
2
a
2
−
9
2
a
b
+
9
4
b
2
)
(iv)
(
9
4
a
2
−
9
2
a
b
+
9
4
b
2
)
(v)
(
9
4
a
2
−
7
2
a
b
+
9
4
b
2
)
Question
20
20.
Expand
(
x
−
1
x
)
2
(i)
x
−
2
+
1
x
2
(ii)
x
2
−
2
−
2
x
2
(iii)
x
2
−
1
+
1
x
2
(iv)
x
2
−
2
+
3
x
2
(v)
x
2
−
2
+
1
x
2
Question
21
21.
The value of
70
1
3
✕
69
2
3
is
(i)
4899
2
3
(ii)
4899
8
11
(iii)
4900
1
7
(iv)
4900
1
9
(v)
4899
8
9
Question
22
22.
The value of
89
1
2
✕
89
1
2
is
(i)
8010
1
6
(ii)
8009
3
4
(iii)
8010
1
4
(iv)
8010
1
2
(v)
8010
3
4
Question
23
23.
(
4
a
+
5
b
)
(
4
a
−
5
b
)
(i)
(
16
a
2
−
23
b
2
)
(ii)
(
16
a
2
−
28
b
2
)
(iii)
(
16
a
2
−
25
b
2
)
(iv)
(
17
a
2
−
25
b
2
)
(v)
(
15
a
2
−
25
b
2
)
Question
24
24.
If
(
a
+
b
)
=
9
,
a
b
=
18
, find
(
a
2
+
b
2
)
(i)
48
(ii)
45
(iii)
46
(iv)
44
(v)
42
Question
25
25.
Evaluate :
985
2
−
15
2
(i)
970000
(ii)
9700000
(iii)
970015
(iv)
97000
(v)
970985
Assignment Key
1) (v)
2) (iv)
3) (v)
4) (iv)
5) (i)
6) (i)
7) (iv)
8) (iii)
9) (i)
10) (ii)
11) (i)
12) (iv)
13) (iii)
14) (ii)
15) (i)
16) (iii)
17) (v)
18) (iv)
19) (iv)
20) (v)
21) (v)
22) (iii)
23) (iii)
24) (ii)
25) (i)
