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
32
✕
28
is
(i)
895
(ii)
899
(iii)
894
(iv)
897
(v)
896
Question
2
2.
The value of
494
✕
492
is
(i)
243049
(ii)
243047
(iii)
243048
(iv)
243045
(v)
243050
Question
3
3.
(
−
a
+
4
b
)
(
a
2
+
4
a
b
+
16
b
2
)
(i)
(
−
a
3
+
67
b
3
)
(ii)
(
−
2
a
3
+
64
b
3
)
(iii)
(
−
a
3
+
62
b
3
)
(iv)
64
b
3
(v)
(
−
a
3
+
64
b
3
)
Question
4
4.
(
a
+
b
)
2
(i)
(
a
2
+
2
a
b
+
b
2
)
(ii)
(
a
2
+
b
2
)
(iii)
(
2
a
b
+
b
2
)
(iv)
(
2
a
2
+
2
a
b
+
b
2
)
(v)
(
a
2
+
4
a
b
+
b
2
)
Question
5
5.
If
(
x
−
1
x
)
=
4
,
find the value of
(
x
2
+
1
x
2
)
(i)
18
(ii)
17
(iii)
15
(iv)
19
(v)
20
Question
6
6.
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
(i)
(
a
3
−
2
b
3
)
(ii)
(
2
a
3
+
b
3
)
(iii)
b
3
(iv)
(
a
3
+
b
3
)
(v)
(
a
3
+
4
b
3
)
Question
7
7.
If
(
a
+
b
)
=
8
,
a
b
=
12
, find
(
a
2
+
b
2
)
(i)
39
(ii)
42
(iii)
37
(iv)
41
(v)
40
Question
8
8.
(
a
+
b
+
c
)
2
(i)
(
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(ii)
(
2
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iii)
(
a
2
−
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iv)
(
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
9
9.
The value of
799
1
4
✕
798
1
2
is
(i)
638201
1
8
(ii)
638201
1
10
(iii)
638201
1
6
(iv)
638201
3
8
(v)
638200
7
8
Question
10
10.
(
−
3
a
−
2
b
)
(
9
a
2
−
6
a
b
+
4
b
2
)
(i)
(
−
28
a
3
−
8
b
3
)
(ii)
(
−
27
a
3
−
8
b
3
)
(iii)
(
−
27
a
3
−
10
b
3
)
(iv)
(
−
26
a
3
−
8
b
3
)
(v)
(
−
27
a
3
−
5
b
3
)
Question
11
11.
The value of
900
1
3
✕
900
3
4
is
(i)
810975
1
2
(ii)
810975
1
4
(iii)
810975
3
4
(iv)
810975
1
6
(v)
810974
3
4
Question
12
12.
If
(
x
−
1
x
)
=
4
,
find the value of
(
x
4
+
1
x
4
)
(i)
321
(ii)
323
(iii)
320
(iv)
324
(v)
322
Question
13
13.
(
−
3
2
a
−
2
3
b
)
2
(i)
(
5
2
a
2
+
2
a
b
+
4
9
b
2
)
(ii)
(
9
4
a
2
+
4
a
b
+
4
9
b
2
)
(iii)
(
13
6
a
2
+
2
a
b
+
4
9
b
2
)
(iv)
(
9
4
a
2
−
a
b
+
4
9
b
2
)
(v)
(
9
4
a
2
+
2
a
b
+
4
9
b
2
)
Question
14
14.
(
3
a
+
3
b
)
2
(i)
(
9
a
2
+
21
a
b
+
9
b
2
)
(ii)
(
10
a
2
+
18
a
b
+
9
b
2
)
(iii)
(
8
a
2
+
18
a
b
+
9
b
2
)
(iv)
(
9
a
2
+
18
a
b
+
9
b
2
)
(v)
(
9
a
2
+
16
a
b
+
9
b
2
)
Question
15
15.
If
(
2
a
+
7
b
)
=
26
,
a
b
=
12
, find
(
4
a
2
+
49
b
2
)
(i)
342
(ii)
341
(iii)
337
(iv)
339
(v)
340
Question
16
16.
The value of
301
✕
305
is
(i)
91804
(ii)
91805
(iii)
91802
(iv)
91806
(v)
91808
Question
17
17.
(
−
2
a
−
b
−
2
c
)
(
4
a
2
−
2
a
b
−
4
a
c
+
b
2
−
2
b
c
+
4
c
2
)
(i)
(
−
7
a
3
+
12
a
b
c
−
b
3
−
8
c
3
)
(ii)
(
−
8
a
3
+
10
a
b
c
−
b
3
−
8
c
3
)
(iii)
(
−
8
a
3
+
14
a
b
c
−
b
3
−
8
c
3
)
(iv)
(
−
9
a
3
+
12
a
b
c
−
b
3
−
8
c
3
)
(v)
(
−
8
a
3
+
12
a
b
c
−
b
3
−
8
c
3
)
Question
18
18.
(
3
a
−
3
b
)
(
9
a
2
+
9
a
b
+
9
b
2
)
(i)
(
27
a
3
−
29
b
3
)
(ii)
(
26
a
3
−
27
b
3
)
(iii)
(
27
a
3
−
25
b
3
)
(iv)
(
28
a
3
−
27
b
3
)
(v)
(
27
a
3
−
27
b
3
)
Question
19
19.
(
3
2
a
−
3
2
b
)
(
3
2
a
+
3
2
b
)
(i)
(
5
2
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)
(
13
6
a
2
−
9
4
b
2
)
(v)
(
9
4
a
2
−
11
4
b
2
)
Question
20
20.
The value of
102
✕
98
is
(i)
9993
(ii)
9995
(iii)
9996
(iv)
9997
(v)
9998
Question
21
21.
The value of
601
1
3
✕
601
1
3
is
(i)
361601
5
9
(ii)
361601
7
9
(iii)
361602
(iv)
361601
7
11
Question
22
22.
(
4
a
+
4
b
)
(
4
a
−
4
b
)
(i)
(
16
a
2
−
16
b
2
)
(ii)
(
15
a
2
−
16
b
2
)
(iii)
(
17
a
2
−
16
b
2
)
(iv)
(
16
a
2
−
18
b
2
)
(v)
(
16
a
2
−
13
b
2
)
Question
23
23.
(
a
+
b
+
c
)
(
a
2
−
a
b
−
a
c
+
b
2
−
b
c
+
c
2
)
(i)
(
a
3
+
b
3
+
c
3
)
(ii)
(
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(iii)
(
−
3
a
b
c
+
b
3
+
c
3
)
(iv)
(
2
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(v)
(
a
3
−
6
a
b
c
+
b
3
+
c
3
)
Question
24
24.
Evaluate :
995
2
−
5
2
(i)
990000
(ii)
99000
(iii)
9900000
(iv)
990005
(v)
990995
Question
25
25.
(
a
+
b
)
(
a
−
b
)
(i)
(
a
2
−
4
b
2
)
(ii)
(
−
b
2
)
(iii)
(
a
2
−
b
2
)
(iv)
(
a
2
+
b
2
)
(v)
(
2
a
2
−
b
2
)
Assignment Key
1) (v)
2) (iii)
3) (v)
4) (i)
5) (i)
6) (iv)
7) (v)
8) (i)
9) (i)
10) (ii)
11) (ii)
12) (v)
13) (v)
14) (iv)
15) (v)
16) (ii)
17) (v)
18) (v)
19) (iii)
20) (iii)
21) (ii)
22) (i)
23) (ii)
24) (i)
25) (iii)
