EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Ratio
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the sub-duplicate ratio of
z
:
s
(i)
z
3
:
s
3
(ii)
∛
z
:
∛
s
(iii)
z
2
:
s
2
(iv)
√
z
:
√
s
Question
2
2.
If
6
:
(
x
+
4
)
is the sub-duplicate ratio of
9
:
81
,
find the value of x
(i)
17
(ii)
13
(iii)
15
(iv)
12
(v)
14
Question
3
3.
If a : b =
1
3
:
1
2
and b : c =
10
16
:
3
8
,
then a : b : c =
(i)
5
24
:
5
16
:
3
16
(ii)
5
24
:
7
16
:
3
16
(iii)
5
24
:
3
16
:
3
16
(iv)
5
26
:
5
16
:
3
16
(v)
5
22
:
5
16
:
3
16
Question
4
4.
Find the ratio between 8 m and 5 km
(i)
1
:
625
(ii)
0
:
625
(iii)
1
:
622
(iv)
1
:
628
Question
5
5.
If a : b =
7
:
24
and b : c =
8
:
22
,
then a : b : c =
(i)
55
:
192
:
528
(ii)
56
:
190
:
528
(iii)
57
:
192
:
528
(iv)
56
:
194
:
528
(v)
56
:
192
:
528
Question
6
6.
In a company, the number of engineers to managers is in the ratio 7 : 1 . After a year, when 10 engineers and 5 managers left, the ratio between engineers to managers is 8 : 1 . Find the number of engineers and managers at the beginning?
(i)
230
(ii)
240
(iii)
260
(iv)
220
(v)
250
Question
7
7.
If
2
A =
6
B and
3
B =
4
C,
find A : C
(i)
24
:
8
(ii)
24
:
6
(iii)
24
:
3
(iv)
25
:
6
(v)
23
:
6
Question
8
8.
Which of the ratios is proportional to 45 : 5?
(i)
44
:
5
(ii)
45
:
5
(iii)
46
:
5
(iv)
45
:
7
(v)
45
:
2
Question
9
9.
The sides of a triangle are in the ratio
1
6
:
1
9
:
1
4
and its perimeter is
342 cm
.
Find the lengths of the sides of the triangle
(i)
108
cm
:
72
cm
:
162
cm
(ii)
103
cm
:
72
cm
:
167
cm
(iii)
113
cm
:
67
cm
:
162
cm
(iv)
113
cm
:
72
cm
:
157
cm
(v)
103
cm
:
77
cm
:
162
cm
Question
10
10.
A certain amount has been divided into two parts in the ratio 3 : 2. If the first part is 93, find the total amount.
(i)
155
(ii)
158
(iii)
154
(iv)
156
(v)
153
Question
11
11.
Find the missing value in the equation
4
:
1
=
____
:
4
(i)
15
(ii)
17
(iii)
13
(iv)
16
(v)
18
Question
12
12.
Find the missing value in the equation
14
:
____
=
126
:
9
(i)
4
(ii)
(-1)
(iii)
0
(iv)
1
(v)
2
Question
13
13.
Find the fourth proportional of
48
,
8
and
30
(i)
3
(ii)
8
(iii)
7
(iv)
30
(v)
5
Question
14
14.
Find the sub-triplicate ratio of
j
:
n
(i)
j
3
:
n
3
(ii)
√
j
:
√
n
(iii)
j
2
:
n
2
(iv)
∛
j
:
∛
n
Question
15
15.
The ages of A and B are in the ratio 3 : 4. 10 years hence, their ages will be in the ratio 7 : 9. Find their present ages.
(i)
66
:
88
(ii)
57
:
76
(iii)
60
:
80
(iv)
54
:
72
Question
16
16.
If a : b =
2
:
3
, b : c =
1
:
2
and c : d =
1
:
7
,
then a : b : c : d =
(i)
3
:
3
:
6
:
42
(ii)
2
:
0
:
6
:
42
(iii)
2
:
6
:
6
:
42
(iv)
2
:
3
:
6
:
42
(v)
1
:
3
:
6
:
42
Question
17
17.
In a mixture of
253
litres,
the ratio of milk and water is
15 : 8
.
How much water must be added
to this mixture to make the ratio
165 : 128
?
(i)
40
(ii)
37
(iii)
41
(iv)
39
(v)
43
Question
18
18.
Divide 15562 in the ratio 16 : 24 : 22
(i)
4016 , 6024 , 5522
(ii)
4016 , 6026 , 5522
(iii)
4016 , 6022 , 5522
(iv)
4015 , 6024 , 5522
(v)
4017 , 6024 , 5522
Question
19
19.
If
(
x
+
1188
)
:
1944
is the triplicate ratio of
8
:
6
,
find the value of x
(i)
3422
(ii)
3419
(iii)
3420
(iv)
3418
(v)
3421
Question
20
20.
If x : y =
9
:
3
, find
(
4
x
+
4
y
)
:
(
8
x
+
8
y
)
(i)
1
:
-1
(ii)
1
:
4
(iii)
0
:
2
(iv)
2
:
2
(v)
1
:
2
Question
21
21.
Find the compounded ratio of the
duplicate ratio of
14 : 10
,
the reciprocal ratio of
20 : 15
and the sub-duplicate ratio of
196 : 49
(i)
146
:
50
(ii)
147
:
52
(iii)
148
:
50
(iv)
147
:
48
(v)
147
:
50
Question
22
22.
Divide 26124 in the ratio
9
2
:
5
8
:
3
7
(i)
21168 , 2937 , 2016
(ii)
21168 , 2940 , 2016
(iii)
21168 , 2942 , 2016
(iv)
21169 , 2940 , 2016
(v)
21167 , 2940 , 2016
Question
23
23.
The work done by (3x + 3) men in (3x + 1) days and work done by (5x + 1) men in (x + 1) days is in the ratio of 13 : 7 . Find the value of x
(i)
5
(ii)
2
(iii)
3
(iv)
4
(v)
6
Question
24
24.
If
(
4
x
2
+
3
x
y
)
:
(
2
x
y
+
8
y
2
)
=
27
:
22
,
find x : y
(i)
6
:
1
(ii)
6
:
6
(iii)
7
:
4
(iv)
6
:
4
(v)
5
:
4
Question
25
25.
Find the ratio between 7 months and 3 years 8 months
(i)
7
:
42
(ii)
7
:
47
(iii)
6
:
44
(iv)
7
:
44
Assignment Key
1) (iv)
2) (v)
3) (i)
4) (i)
5) (v)
6) (ii)
7) (ii)
8) (ii)
9) (i)
10) (i)
11) (iv)
12) (iv)
13) (v)
14) (iv)
15) (iii)
16) (iv)
17) (i)
18) (i)
19) (iii)
20) (v)
21) (v)
22) (ii)
23) (iv)
24) (iv)
25) (iv)
