EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Invertendo of
10
16
=
80
128
(i)
26
16
=
208
128
(ii)
6
16
=
48
128
(iii)
16
10
=
128
80
(iv)
26
6
=
208
48
(v)
10
80
=
16
128
Question
2
2.
If
(
a
3
+
12
a
)
(
6
a
2
+
8
)
=
65
63
, find
a
(i)
10
3
(ii)
4
(iii)
10
(iv)
8
3
(v)
2
Question
3
3.
Find the fourth proportional of
32
,
8
and
16
(i)
8
(ii)
4
(iii)
16
(iv)
7
(v)
2
Question
4
4.
Find the third proportional of
75
and
15
(i)
0
(ii)
225
(iii)
15
(iv)
3
(v)
75
Question
5
5.
What
least number must be added to
21
,
12
,
45
,
27
so that the resulting numbers
are in proportion ?
(i)
5
(ii)
2
(iii)
1
(iv)
4
(v)
3
Question
6
6.
If
10
,
x
,
160
are in continued proportion, find
x
(i)
41
(ii)
40
(iii)
37
(iv)
39
(v)
42
Question
7
7.
Find the fourth proportional of 12, 16, 15
(i)
19
(ii)
20
(iii)
18
(iv)
22
(v)
21
Question
8
8.
Componendo
of
r
:
n
::
p
:
w
(i)
n
:
r
::
w
:
p
(ii)
r
:
p
::
n
:
w
(iii)
r
−
n
:
n
::
p
−
w
:
w
(iv)
r
+
n
:
r
−
n
::
p
+
w
:
p
−
w
(v)
r
+
n
:
n
::
p
+
w
:
w
Question
9
9.
Find the mean proportional of
162
and
2
(i)
2
(ii)
15
(iii)
162
(iv)
18
(v)
324
Question
10
10.
Dividendo
of
q
o
=
k
c
(i)
q
k
=
o
c
(ii)
q
+
o
o
=
k
+
c
c
(iii)
q
−
o
o
=
k
−
c
c
(iv)
o
q
=
c
k
(v)
q
+
o
q
−
o
=
k
+
c
k
−
c
Question
11
11.
Componendo
of
8
9
=
32
36
(i)
17
9
=
68
36
(ii)
1
9
=
4
36
(iii)
8
32
=
9
36
(iv)
17
1
=
68
4
(v)
9
8
=
36
32
Question
12
12.
Invertendo
of
j
:
s
::
t
:
h
(i)
j
+
s
:
s
::
t
+
h
:
h
(ii)
j
+
s
:
j
−
s
::
t
+
h
:
t
−
h
(iii)
j
−
s
:
s
::
t
−
h
:
h
(iv)
j
:
t
::
s
:
h
(v)
s
:
j
::
h
:
t
Question
13
13.
Find the mean proportional of
2
and
8
(i)
5
(ii)
4
(iii)
6
(iv)
1
(v)
3
Question
14
14.
If
a
b
+
c
=
b
c
+
a
=
c
a
+
b
where
a
+
b
+
c
≠
0,
then each of the ratios is equal to
(i)
(
-1
2
)
(ii)
-1
(iii)
a + b + c
(iv)
1
2
(v)
2
Question
15
15.
If
a
b
=
c
d
=
e
f
,
then
(
a
+
c
+
e
)
(
b
+
d
+
f
)
=
(i)
(
a
+
b
+
c
)
(ii)
1
(iii)
2
(
a
+
b
+
c
)
(iv)
a
c
e
(v)
a
b
Question
16
16.
Which of the following represents a proportion ?
(i)
41
:
27
::
123
:
108
(ii)
44
:
30
::
132
:
60
(iii)
43
:
29
::
86
:
87
(iv)
42
:
28
::
126
:
84
(v)
40
:
26
::
160
:
78
Question
17
17.
If
(
a
3
+
27
a
b
2
)
(
9
a
2
b
+
27
b
3
)
=
28
26
, find
a : b
(i)
6
:
4
(ii)
6
:
-1
(iii)
7
:
1
(iv)
5
:
1
(v)
6
:
1
Question
18
18.
Dividendo
of
5
6
=
30
36
(i)
5
30
=
6
36
(ii)
6
5
=
36
30
(iii)
11
6
=
66
36
(iv)
11
1
=
66
6
(v)
1
6
=
6
36
Question
19
19.
Dividendo
of
p
:
y
::
k
:
t
(i)
p
−
y
:
y
::
k
−
t
:
t
(ii)
p
+
y
:
y
::
k
+
t
:
t
(iii)
p
+
y
:
p
−
y
::
k
+
t
:
k
−
t
(iv)
y
:
p
::
t
:
k
(v)
p
:
k
::
y
:
t
Question
20
20.
Alternendo
of
7
8
=
21
24
(i)
15
8
=
45
24
(ii)
8
7
=
24
21
(iii)
1
8
=
3
24
(iv)
7
21
=
8
24
(v)
15
1
=
45
3
Question
21
21.
Find the product of extremes of
4
:
11
and
12
:
15
(i)
132
(ii)
60
(iii)
57
(iv)
59
(v)
63
Question
22
22.
Find the mean proportional between
1.8
and
16.2
(i)
6.4
(ii)
4.4
(iii)
5.4
(iv)
3.4
(v)
7.4
Question
23
23.
Invertendo
of
5
9
=
10
18
(i)
14
9
=
28
18
(ii)
5
10
=
9
18
(iii)
14
4
=
28
8
(iv)
4
9
=
8
18
(v)
9
5
=
18
10
Question
24
24.
Invertendo
of
2
:
6
::
4
:
12
(i)
6
:
2
::
12
:
4
(ii)
8
:
4
::
16
:
8
(iii)
8
:
6
::
16
:
12
(iv)
2
:
4
::
6
:
12
(v)
4
:
6
::
8
:
12
Question
25
25.
Componendo and Dividendo
of
7
9
=
42
54
(i)
16
2
=
96
12
(ii)
16
9
=
96
54
(iii)
2
9
=
12
54
(iv)
9
7
=
54
42
(v)
7
42
=
9
54
Assignment Key
1) (iii)
2) (i)
3) (ii)
4) (iv)
5) (v)
6) (ii)
7) (ii)
8) (v)
9) (iv)
10) (iii)
11) (i)
12) (v)
13) (ii)
14) (iv)
15) (v)
16) (iv)
17) (v)
18) (v)
19) (i)
20) (iv)
21) (ii)
22) (iii)
23) (v)
24) (i)
25) (i)
